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S
Q
q
1 i
250.961 501.801 118.457 118.769 re
W n
BT
5.4305 0 0 5.4448 248.4483 535.4991 Tm
(-)Tj
ET
Q
BT
5.4305 0 0 5.4448 251.7071 535.4991 Tm
(10)Tj
ET
q
0.9987 0 0 1.0013 0 0 cm
0 G
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274.259 532.481 m
275.24 533.496 l
S
Q
BT
5.4305 0 0 5.4448 267.5223 529.3029 Tm
(-5)Tj
ET
q
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200.704 413.7 m
200.704 415.393 199.331 416.767 197.64 416.767 c
195.949 416.767 194.576 415.393 194.576 413.7 c
194.576 412.007 195.949 410.633 197.64 410.633 c
199.331 410.633 200.704 412.007 200.704 413.7 c
f
200.704 413.7 m
200.704 415.393 199.331 416.767 197.64 416.767 c
195.949 416.767 194.576 415.393 194.576 413.7 c
194.576 412.007 195.949 410.633 197.64 410.633 c
199.331 410.633 200.704 412.007 200.704 413.7 c
S
228.064 413.7 m
228.064 415.393 226.691 416.767 225 416.767 c
223.309 416.767 221.936 415.393 221.936 413.7 c
221.936 412.007 223.309 410.633 225 410.633 c
226.691 410.633 228.064 412.007 228.064 413.7 c
f
228.064 413.7 m
228.064 415.393 226.691 416.767 225 416.767 c
223.309 416.767 221.936 415.393 221.936 413.7 c
221.936 412.007 223.309 410.633 225 410.633 c
226.691 410.633 228.064 412.007 228.064 413.7 c
S
0.773 g
255.424 413.7 m
255.424 415.393 254.051 416.767 252.36 416.767 c
250.669 416.767 249.296 415.393 249.296 413.7 c
249.296 412.007 250.669 410.633 252.36 410.633 c
254.051 410.633 255.424 412.007 255.424 413.7 c
f
255.424 413.7 m
255.424 415.393 254.051 416.767 252.36 416.767 c
250.669 416.767 249.296 415.393 249.296 413.7 c
249.296 412.007 250.669 410.633 252.36 410.633 c
254.051 410.633 255.424 412.007 255.424 413.7 c
S
0 g
282.784 413.7 m
282.784 415.393 281.411 416.767 279.72 416.767 c
278.029 416.767 276.656 415.393 276.656 413.7 c
276.656 412.007 278.029 410.633 279.72 410.633 c
281.411 410.633 282.784 412.007 282.784 413.7 c
f
282.784 413.7 m
282.784 415.393 281.411 416.767 279.72 416.767 c
278.029 416.767 276.656 415.393 276.656 413.7 c
276.656 412.007 278.029 410.633 279.72 410.633 c
281.411 410.633 282.784 412.007 282.784 413.7 c
S
310.144 413.7 m
310.144 415.393 308.771 416.767 307.08 416.767 c
305.389 416.767 304.016 415.393 304.016 413.7 c
304.016 412.007 305.389 410.633 307.08 410.633 c
308.771 410.633 310.144 412.007 310.144 413.7 c
f
310.144 413.7 m
310.144 415.393 308.771 416.767 307.08 416.767 c
305.389 416.767 304.016 415.393 304.016 413.7 c
304.016 412.007 305.389 410.633 307.08 410.633 c
308.771 410.633 310.144 412.007 310.144 413.7 c
S
337.504 413.7 m
337.504 415.393 336.131 416.767 334.44 416.767 c
332.749 416.767 331.376 415.393 331.376 413.7 c
331.376 412.007 332.749 410.633 334.44 410.633 c
336.131 410.633 337.504 412.007 337.504 413.7 c
f
337.504 413.7 m
337.504 415.393 336.131 416.767 334.44 416.767 c
332.749 416.767 331.376 415.393 331.376 413.7 c
331.376 412.007 332.749 410.633 334.44 410.633 c
336.131 410.633 337.504 412.007 337.504 413.7 c
S
364.864 413.7 m
364.864 415.393 363.491 416.767 361.8 416.767 c
360.109 416.767 358.736 415.393 358.736 413.7 c
358.736 412.007 360.109 410.633 361.8 410.633 c
363.491 410.633 364.864 412.007 364.864 413.7 c
f
364.864 413.7 m
364.864 415.393 363.491 416.767 361.8 416.767 c
360.109 416.767 358.736 415.393 358.736 413.7 c
358.736 412.007 360.109 410.633 361.8 410.633 c
363.491 410.633 364.864 412.007 364.864 413.7 c
S
BT
/TT2 1 Tf
9.8041 0 0 9.8136 257.4807 360.7563 Tm
(0)Tj
ET
167.584 457.02 m
167.584 458.713 166.211 460.087 164.52 460.087 c
162.829 460.087 161.456 458.713 161.456 457.02 c
161.456 455.327 162.829 453.953 164.52 453.953 c
166.211 453.953 167.584 455.327 167.584 457.02 c
f
167.584 457.02 m
167.584 458.713 166.211 460.087 164.52 460.087 c
162.829 460.087 161.456 458.713 161.456 457.02 c
161.456 455.327 162.829 453.953 164.52 453.953 c
166.211 453.953 167.584 455.327 167.584 457.02 c
S
186.424 457.02 m
186.424 458.713 185.051 460.087 183.36 460.087 c
181.669 460.087 180.296 458.713 180.296 457.02 c
180.296 455.327 181.669 453.953 183.36 453.953 c
185.051 453.953 186.424 455.327 186.424 457.02 c
f
186.424 457.02 m
186.424 458.713 185.051 460.087 183.36 460.087 c
181.669 460.087 180.296 458.713 180.296 457.02 c
180.296 455.327 181.669 453.953 183.36 453.953 c
185.051 453.953 186.424 455.327 186.424 457.02 c
S
207.664 457.02 m
207.664 458.713 206.291 460.087 204.6 460.087 c
202.909 460.087 201.536 458.713 201.536 457.02 c
201.536 455.327 202.909 453.953 204.6 453.953 c
206.291 453.953 207.664 455.327 207.664 457.02 c
f
207.664 457.02 m
207.664 458.713 206.291 460.087 204.6 460.087 c
202.909 460.087 201.536 458.713 201.536 457.02 c
201.536 455.327 202.909 453.953 204.6 453.953 c
206.291 453.953 207.664 455.327 207.664 457.02 c
S
225.664 457.02 m
225.664 458.713 224.291 460.087 222.6 460.087 c
220.909 460.087 219.536 458.713 219.536 457.02 c
219.536 455.327 220.909 453.953 222.6 453.953 c
224.291 453.953 225.664 455.327 225.664 457.02 c
f
225.664 457.02 m
225.664 458.713 224.291 460.087 222.6 460.087 c
220.909 460.087 219.536 458.713 219.536 457.02 c
219.536 455.327 220.909 453.953 222.6 453.953 c
224.291 453.953 225.664 455.327 225.664 457.02 c
S
244.864 457.02 m
244.864 458.713 243.491 460.087 241.8 460.087 c
240.109 460.087 238.736 458.713 238.736 457.02 c
238.736 455.327 240.109 453.953 241.8 453.953 c
243.491 453.953 244.864 455.327 244.864 457.02 c
f
244.864 457.02 m
244.864 458.713 243.491 460.087 241.8 460.087 c
240.109 460.087 238.736 458.713 238.736 457.02 c
238.736 455.327 240.109 453.953 241.8 453.953 c
243.491 453.953 244.864 455.327 244.864 457.02 c
S
0.773 g
263.224 457.5 m
263.224 459.193 261.851 460.567 260.16 460.567 c
258.469 460.567 257.096 459.193 257.096 457.5 c
257.096 455.807 258.469 454.433 260.16 454.433 c
261.851 454.433 263.224 455.807 263.224 457.5 c
f
263.224 457.5 m
263.224 459.193 261.851 460.567 260.16 460.567 c
258.469 460.567 257.096 459.193 257.096 457.5 c
257.096 455.807 258.469 454.433 260.16 454.433 c
261.851 454.433 263.224 455.807 263.224 457.5 c
S
281.224 457.02 m
281.224 458.713 279.851 460.087 278.16 460.087 c
276.469 460.087 275.096 458.713 275.096 457.02 c
275.096 455.327 276.469 453.953 278.16 453.953 c
279.851 453.953 281.224 455.327 281.224 457.02 c
f
281.224 457.02 m
281.224 458.713 279.851 460.087 278.16 460.087 c
276.469 460.087 275.096 458.713 275.096 457.02 c
275.096 455.327 276.469 453.953 278.16 453.953 c
279.851 453.953 281.224 455.327 281.224 457.02 c
S
0 g
300.424 457.02 m
300.424 458.713 299.051 460.087 297.36 460.087 c
295.669 460.087 294.296 458.713 294.296 457.02 c
294.296 455.327 295.669 453.953 297.36 453.953 c
299.051 453.953 300.424 455.327 300.424 457.02 c
f
300.424 457.02 m
300.424 458.713 299.051 460.087 297.36 460.087 c
295.669 460.087 294.296 458.713 294.296 457.02 c
294.296 455.327 295.669 453.953 297.36 453.953 c
299.051 453.953 300.424 455.327 300.424 457.02 c
S
318.784 457.02 m
318.784 458.713 317.411 460.087 315.72 460.087 c
314.029 460.087 312.656 458.713 312.656 457.02 c
312.656 455.327 314.029 453.953 315.72 453.953 c
317.411 453.953 318.784 455.327 318.784 457.02 c
f
318.784 457.02 m
318.784 458.713 317.411 460.087 315.72 460.087 c
314.029 460.087 312.656 458.713 312.656 457.02 c
312.656 455.327 314.029 453.953 315.72 453.953 c
317.411 453.953 318.784 455.327 318.784 457.02 c
S
337.984 457.02 m
337.984 458.713 336.611 460.087 334.92 460.087 c
333.229 460.087 331.856 458.713 331.856 457.02 c
331.856 455.327 333.229 453.953 334.92 453.953 c
336.611 453.953 337.984 455.327 337.984 457.02 c
f
337.984 457.02 m
337.984 458.713 336.611 460.087 334.92 460.087 c
333.229 460.087 331.856 458.713 331.856 457.02 c
331.856 455.327 333.229 453.953 334.92 453.953 c
336.611 453.953 337.984 455.327 337.984 457.02 c
S
0.773 g
355.504 457.02 m
355.504 458.713 354.131 460.087 352.44 460.087 c
350.749 460.087 349.376 458.713 349.376 457.02 c
349.376 455.327 350.749 453.953 352.44 453.953 c
354.131 453.953 355.504 455.327 355.504 457.02 c
f
355.504 457.02 m
355.504 458.713 354.131 460.087 352.44 460.087 c
350.749 460.087 349.376 458.713 349.376 457.02 c
349.376 455.327 350.749 453.953 352.44 453.953 c
354.131 453.953 355.504 455.327 355.504 457.02 c
S
0 g
372.664 457.02 m
372.664 458.713 371.291 460.087 369.6 460.087 c
367.909 460.087 366.536 458.713 366.536 457.02 c
366.536 455.327 367.909 453.953 369.6 453.953 c
371.291 453.953 372.664 455.327 372.664 457.02 c
f
372.664 457.02 m
372.664 458.713 371.291 460.087 369.6 460.087 c
367.909 460.087 366.536 458.713 366.536 457.02 c
366.536 455.327 367.909 453.953 369.6 453.953 c
371.291 453.953 372.664 455.327 372.664 457.02 c
S
0.773 g
199.504 502.02 m
199.504 503.713 198.131 505.087 196.44 505.087 c
194.749 505.087 193.376 503.713 193.376 502.02 c
193.376 500.327 194.749 498.953 196.44 498.953 c
198.131 498.953 199.504 500.327 199.504 502.02 c
f
199.504 502.02 m
199.504 503.713 198.131 505.087 196.44 505.087 c
194.749 505.087 193.376 503.713 193.376 502.02 c
193.376 500.327 194.749 498.953 196.44 498.953 c
198.131 498.953 199.504 500.327 199.504 502.02 c
S
0 g
226.864 501.66 m
226.864 503.353 225.491 504.727 223.8 504.727 c
222.109 504.727 220.736 503.353 220.736 501.66 c
220.736 499.967 222.109 498.593 223.8 498.593 c
225.491 498.593 226.864 499.967 226.864 501.66 c
f
226.864 501.66 m
226.864 503.353 225.491 504.727 223.8 504.727 c
222.109 504.727 220.736 503.353 220.736 501.66 c
220.736 499.967 222.109 498.593 223.8 498.593 c
225.491 498.593 226.864 499.967 226.864 501.66 c
S
254.224 501.66 m
254.224 503.353 252.851 504.727 251.16 504.727 c
249.469 504.727 248.096 503.353 248.096 501.66 c
248.096 499.967 249.469 498.593 251.16 498.593 c
252.851 498.593 254.224 499.967 254.224 501.66 c
f
254.224 501.66 m
254.224 503.353 252.851 504.727 251.16 504.727 c
249.469 504.727 248.096 503.353 248.096 501.66 c
248.096 499.967 249.469 498.593 251.16 498.593 c
252.851 498.593 254.224 499.967 254.224 501.66 c
S
0.773 g
281.584 502.02 m
281.584 503.713 280.211 505.087 278.52 505.087 c
276.829 505.087 275.456 503.713 275.456 502.02 c
275.456 500.327 276.829 498.953 278.52 498.953 c
280.211 498.953 281.584 500.327 281.584 502.02 c
f
281.584 502.02 m
281.584 503.713 280.211 505.087 278.52 505.087 c
276.829 505.087 275.456 503.713 275.456 502.02 c
275.456 500.327 276.829 498.953 278.52 498.953 c
280.211 498.953 281.584 500.327 281.584 502.02 c
S
308.944 502.02 m
308.944 503.713 307.571 505.087 305.88 505.087 c
304.189 505.087 302.816 503.713 302.816 502.02 c
302.816 500.327 304.189 498.953 305.88 498.953 c
307.571 498.953 308.944 500.327 308.944 502.02 c
f
308.944 502.02 m
308.944 503.713 307.571 505.087 305.88 505.087 c
304.189 505.087 302.816 503.713 302.816 502.02 c
302.816 500.327 304.189 498.953 305.88 498.953 c
307.571 498.953 308.944 500.327 308.944 502.02 c
S
0 g
336.304 501.66 m
336.304 503.353 334.931 504.727 333.24 504.727 c
331.549 504.727 330.176 503.353 330.176 501.66 c
330.176 499.967 331.549 498.593 333.24 498.593 c
334.931 498.593 336.304 499.967 336.304 501.66 c
f
336.304 501.66 m
336.304 503.353 334.931 504.727 333.24 504.727 c
331.549 504.727 330.176 503.353 330.176 501.66 c
330.176 499.967 331.549 498.593 333.24 498.593 c
334.931 498.593 336.304 499.967 336.304 501.66 c
S
BT
7.3531 0 0 7.3602 183.5417 495.2847 Tm
(x)Tj
0.5 -0.3889 TD
(1)Tj
7.2222 0.6667 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
7.1111 -0.0556 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
-3.1667 -0.2222 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
6.6111 0.2222 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
ET
0.773 g
266.464 537.78 m
266.464 539.134 265.091 540.233 263.4 540.233 c
261.709 540.233 260.336 539.134 260.336 537.78 c
260.336 536.426 261.709 535.327 263.4 535.327 c
265.091 535.327 266.464 536.426 266.464 537.78 c
f
266.464 537.78 m
266.464 539.134 265.091 540.233 263.4 540.233 c
261.709 540.233 260.336 539.134 260.336 537.78 c
260.336 536.426 261.709 535.327 263.4 535.327 c
265.091 535.327 266.464 536.426 266.464 537.78 c
S
BT
9.8041 0 0 9.8136 261.1573 543.9439 Tm
0 g
(1)Tj
ET
0.817 w
329.786 494.467 m
336.73 494.467 l
275.863 496.102 m
282.808 496.102 l
171.301 430.302 m
178.324 430.302 l
S
BT
7.3531 0 0 7.3602 170.8781 423.727 Tm
(x)Tj
0.5 -0.3889 TD
(1)Tj
0.5562 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
0.9723 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
ET
189.892 429.925 m
196.916 429.925 l
311.208 449.836 m
316.495 449.836 l
S
BT
7.3531 0 0 7.3602 311.4031 444.581 Tm
(x)Tj
0.5 -0.3889 TD
(1)Tj
0.5562 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
-15.0561 6.7222 TD
(x)Tj
0.5 -0.3889 TD
(1)Tj
ET
212.137 496.92 m
219.081 496.92 l
S
BT
7.3531 0 0 7.3602 163.525 528.4057 Tm
(New Version Graph)Tj
12 9 TD
(1, 0, 1 has)Tj
0 -1.2222 TD
(value 0)Tj
1.2778 -18.5 TD
(x)Tj
0.5 -0.3889 TD
(1)Tj
0.5562 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
-0.2228 2.3333 TD
(x)Tj
0.5 -0.3889 TD
(1)Tj
0.5561 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
ET
279.54 469.933 m
286.484 469.933 l
S
BT
7.3531 0 0 7.3602 342.8578 464.6171 Tm
(x)Tj
0.5 -0.3889 TD
(2)Tj
0.5562 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
ET
342.858 469.933 m
349.802 469.933 l
S
BT
7.3531 0 0 7.3602 241.1406 402.4641 Tm
(x)Tj
0.5 -0.3889 TD
(1)Tj
0.5561 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
0.5562 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
ET
249.177 407.872 m
256.017 407.872 l
S
0 w
295.063 591.785 m
317.849 613.866 l
334.779 591.861 m
357.594 613.528 l
288.118 546.397 m
317.849 575.833 l
S
288.118 546.397 m
293.618 548.391 l
290.732 548.985 l
290.17 551.88 l
b
334.34 552.94 m
357.564 575.838 l
295.471 592.194 m
334.279 591.785 l
317.531 576.247 m
371.045 575.838 l
S
371.045 575.838 m
365.753 578.332 l
367.368 575.866 l
365.715 573.425 l
b
295.471 553.349 m
334.279 552.94 l
295.471 553.758 m
295.471 592.194 l
334.279 552.94 m
334.279 591.376 l
357.155 575.838 m
357.564 613.457 l
317.939 613.866 m
356.747 613.457 l
317.939 623.271 m
318.348 576.247 l
S
317.939 623.271 m
315.534 617.934 l
317.971 619.591 l
320.436 617.976 l
b
BT
7.3531 0 0 7.3602 279.9484 553.3486 Tm
(x)Tj
0.5 -0.3889 TD
(1)Tj
10.6111 2.3889 TD
(x)Tj
0.5 -0.3889 TD
(2)Tj
-8.3333 7.1111 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
ET
298.744 592.02 m
298.744 593.713 297.371 595.087 295.68 595.087 c
293.989 595.087 292.616 593.713 292.616 592.02 c
292.616 590.327 293.989 588.953 295.68 588.953 c
297.371 588.953 298.744 590.327 298.744 592.02 c
f
298.744 592.02 m
298.744 593.713 297.371 595.087 295.68 595.087 c
293.989 595.087 292.616 593.713 292.616 592.02 c
292.616 590.327 293.989 588.953 295.68 588.953 c
297.371 588.953 298.744 590.327 298.744 592.02 c
S
0.755 w
199.065 414.731 m
313.037 456.03 l
S
0.755 w
313.037 456.03 m
307.209 456.528 l
309.58 454.777 l
308.878 451.914 l
b
0.755 w
253.804 499.783 m
315.488 458.893 l
S
0.754 w
253.804 499.783 m
256.878 494.802 l
256.869 497.751 l
259.585 498.893 l
b
0.755 w
198.656 412.278 m
258.298 377.112 l
S
0.754 w
198.656 412.278 m
201.988 407.466 l
201.824 410.41 l
204.476 411.694 l
b
0.755 w
243.183 458.075 m
329.786 499.783 l
S
0.755 w
329.786 499.783 m
323.938 499.689 l
326.473 498.187 l
326.063 495.267 l
b
0.755 w
172.512 412.687 m
257.481 376.294 l
S
0.754 w
172.512 412.687 m
176.43 408.34 l
175.892 411.239 l
178.359 412.851 l
b
0.755 w
226.843 411.051 m
258.706 378.748 l
S
0.754 w
226.843 411.051 m
228.83 405.545 l
229.426 408.432 l
232.318 408.992 l
b
0.755 w
260.749 378.748 m
278.314 410.642 l
S
0.755 w
278.314 410.642 m
273.604 407.171 l
276.54 407.419 l
277.897 404.803 l
b
0.755 w
262.383 378.339 m
304.867 411.051 l
S
0.755 w
304.867 411.051 m
299.163 409.755 l
301.953 408.807 l
302.152 405.865 l
b
0.755 w
262.791 377.112 m
331.42 412.278 l
S
0.755 w
331.42 412.278 m
325.576 412.039 l
328.147 410.601 l
327.81 407.672 l
b
0.755 w
262.791 375.477 m
358.381 412.278 l
S
0.755 w
358.381 412.278 m
352.545 412.659 l
354.95 410.957 l
354.304 408.08 l
b
0.755 w
198.248 416.367 m
238.69 455.212 l
S
0.755 w
238.69 455.212 m
233.161 453.302 l
236.037 452.664 l
236.555 449.762 l
b
0.755 w
224.8 498.556 m
240.732 460.119 l
S
0.754 w
224.8 498.556 m
224.571 492.706 l
226.209 495.157 l
229.099 494.586 l
b
BT
7.3531 0 0 7.3602 240.3236 444.9899 Tm
(x)Tj
0.5 -0.3889 TD
(1)Tj
0.5561 0.3889 TD
(x)Tj
0.5 -0.3889 TD
(3)Tj
ET
0.817 w
249.325 450.338 m
256.348 450.338 l
239.929 450.338 m
246.952 450.338 l
S
0.755 w
226.843 500.191 m
314.263 458.075 l
S
0.754 w
226.843 500.191 m
230.565 495.675 l
230.156 498.595 l
232.691 500.097 l
b
BT
7.3531 0 0 7.3602 174.9631 346.4447 Tm
(\(only some arcs in the graph are shown\))Tj
16.1111 24.1667 TD
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0 G
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1 i
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364.033 440.674 l
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0 G
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0 G
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0 G
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323.82 448.071 l
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326.847 447.14 l
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329.906 446.201 l
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332.997 445.255 l
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336.12 444.309 l
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331.242 443.49 l
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339.278 443.379 l
336.12 444.309 l
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342.469 442.495 l
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345.699 441.708 l
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0 G
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348.972 441.09 l
345.699 441.708 l
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0 G
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352.297 440.712 l
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355.683 440.601 l
352.297 440.712 l
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0 G
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359.137 440.692 l
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0 G
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362.651 440.8 l
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366.206 440.654 l
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0 G
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369.774 439.992 l
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0 G
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373.326 438.686 l
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0 G
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376.853 436.809 l
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0 G
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380.365 434.592 l
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0 G
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383.888 432.316 l
380.365 434.592 l
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0 G
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322.004 446.345 l
318.988 447.284 l
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0 G
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325.051 445.397 l
322.004 446.345 l
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0 G
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328.13 444.443 l
325.051 445.397 l
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0 G
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331.242 443.49 l
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0 G
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334.386 442.555 l
331.242 443.49 l
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0 G
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337.564 441.675 l
334.386 442.555 l
332.615 440.84 l
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0 G
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340.779 440.915 l
337.564 441.675 l
335.816 440.096 l
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0 G
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1 i
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344.038 440.368 l
340.779 440.915 l
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0 G
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347.349 440.141 l
344.038 440.368 l
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0 G
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1 i
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350.725 440.294 l
347.349 440.141 l
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0 G
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354.175 440.776 l
350.725 440.294 l
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0 G
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1 i
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354.175 440.776 l
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0 G
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1 i
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361.276 441.715 l
357.698 441.371 l
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0 G
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364.874 441.416 l
361.276 441.715 l
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0 G
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368.453 440.233 l
364.874 441.416 l
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0 G
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371.99 438.193 l
368.453 440.233 l
367.059 440.125 l
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Q
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0 G
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1 i
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375.491 435.585 l
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0 G
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1 i
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378.982 432.805 l
375.491 435.585 l
374.034 433.761 l
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0 G
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1 i
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382.504 430.195 l
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0 G
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1 i
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320.152 444.587 l
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315.211 443.769 l
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0 G
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1 i
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323.219 443.624 l
320.152 444.587 l
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Q
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0 G
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1 i
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326.319 442.663 l
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1 i
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329.45 441.721 l
326.319 442.663 l
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Q
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0 G
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1 i
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332.615 440.84 l
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q
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0 G
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1 i
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335.816 440.096 l
332.615 440.84 l
330.806 439.248 l
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1 i
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339.056 439.609 l
335.816 440.096 l
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1 i
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342.347 439.517 l
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0 G
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1 i
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0 G
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1 i
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349.139 440.828 l
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1 i
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352.66 441.98 l
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1 i
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356.252 442.941 l
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1 i
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359.881 443.164 l
356.252 442.941 l
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0 G
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1 i
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b
Q
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1 i
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367.059 440.125 l
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1 i
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Q
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1 i
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374.034 433.761 l
370.563 437.121 l
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Q
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0 G
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1 i
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377.518 430.543 l
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0 G
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1 i
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381.056 427.764 l
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0 G
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1 i
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318.265 442.797 l
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0 G
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1 i
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318.265 442.797 l
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0 G
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1 i
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324.471 440.874 l
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0 G
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1 i
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330.806 439.248 l
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0 G
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1 i
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334.026 438.794 l
330.806 439.248 l
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b
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0 G
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340.618 439.438 l
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b
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1 i
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344.025 440.728 l
340.618 439.438 l
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b
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0 G
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347.526 442.459 l
344.025 440.728 l
342.3 442.615 l
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Q
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0 G
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351.118 444.118 l
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b
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0 G
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1 i
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354.768 445.01 l
351.118 444.118 l
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b
Q
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0 G
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1 i
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358.421 444.527 l
354.768 445.01 l
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b
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0 G
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1 i
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362.023 442.464 l
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b
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q
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0 G
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1 i
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365.55 439.125 l
362.023 442.464 l
360.417 441.402 l
b
Q
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0 G
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1 i
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369.021 435.161 l
365.55 439.125 l
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b
Q
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0 G
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1 i
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372.481 431.251 l
369.021 435.161 l
367.368 432.264 l
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Q
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0 G
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1 i
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375.981 427.847 l
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370.847 428.169 l
b
Q
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0 G
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1 i
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379.559 425.109 l
375.981 427.847 l
374.392 424.877 l
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Q
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0 G
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1 i
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316.34 440.981 l
313.266 441.963 l
311.283 440.127 l
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Q
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0 G
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1 i
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319.446 440.018 l
316.34 440.981 l
314.376 439.15 l
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Q
q
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0 G
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1 i
320.649 437.453 m
322.583 439.116 l
319.446 440.018 l
317.497 438.229 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
323.827 436.975 m
325.75 438.365 l
322.583 439.116 l
320.649 437.453 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
327.035 437.026 m
328.949 437.916 l
325.75 438.365 l
323.827 436.975 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
330.283 437.862 m
332.187 437.977 l
328.949 437.916 l
327.035 437.026 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
333.593 439.648 m
335.475 438.761 l
332.187 437.977 l
330.283 437.862 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
336.993 442.287 m
338.839 440.363 l
335.475 438.761 l
333.593 439.648 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
340.505 445.269 m
342.3 442.615 l
338.839 440.363 l
336.993 442.287 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
344.128 447.689 m
345.866 444.983 l
342.3 442.615 l
340.505 445.269 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
347.819 448.534 m
349.517 446.636 l
345.866 444.983 l
344.128 447.689 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
351.509 447.155 m
353.199 446.759 l
349.517 446.636 l
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q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
355.134 443.629 m
356.847 444.938 l
353.199 446.759 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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360.417 441.402 l
356.847 444.938 l
355.134 443.629 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
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362.157 433.447 m
363.911 436.889 l
360.417 441.402 l
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q
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0 G
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1 i
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367.368 432.264 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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370.847 428.169 l
367.368 432.264 l
365.635 428.66 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
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374.392 424.877 l
370.847 428.169 l
369.162 424.775 l
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0 G
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378.027 422.351 l
374.392 424.877 l
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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314.376 439.15 l
311.283 440.127 l
309.259 438.273 l
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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317.497 438.229 l
314.376 439.15 l
312.368 437.328 l
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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320.649 437.453 l
317.497 438.229 l
315.503 436.514 l
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q
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0 G
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1 i
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323.827 436.975 l
320.649 437.453 l
318.662 435.978 l
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q
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0 G
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1 i
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327.035 437.026 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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330.283 437.862 l
327.035 437.026 l
325.048 436.74 l
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Q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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333.593 439.648 l
330.283 437.862 l
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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336.993 442.287 l
333.593 439.648 l
331.626 441.374 l
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0 G
1 J 1 j 0.184 w 10 M []0 d
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340.505 445.269 l
336.993 442.287 l
335.061 444.777 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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344.128 447.689 l
340.505 445.269 l
338.624 447.85 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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347.819 448.534 l
344.128 447.689 l
342.292 449.441 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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351.509 447.155 l
347.819 448.534 l
346.003 448.667 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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355.134 443.629 l
351.509 447.155 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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358.675 438.717 l
355.134 443.629 l
353.29 440.323 l
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Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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362.157 433.447 l
358.675 438.717 l
356.822 434.58 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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365.635 428.66 l
362.157 433.447 l
360.326 429.192 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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369.162 424.775 l
365.635 428.66 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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372.772 421.82 l
369.162 424.775 l
367.453 421.345 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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376.471 419.597 l
372.772 421.82 l
371.134 418.828 l
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q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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312.368 437.328 l
309.259 438.273 l
307.191 436.418 l
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Q
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1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
313.453 434.941 m
315.503 436.514 l
312.368 437.328 l
310.311 435.556 l
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Q
q
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0 G
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1 i
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318.662 435.978 l
315.503 436.514 l
313.453 434.941 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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321.842 435.959 l
318.662 435.978 l
316.609 434.8 l
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Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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325.048 436.74 l
321.842 435.959 l
319.779 435.428 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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328.299 438.548 l
325.048 436.74 l
322.976 437.094 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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331.626 441.374 l
328.299 438.548 l
326.225 439.872 l
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Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
333.044 446.927 m
335.061 444.777 l
331.626 441.374 l
329.57 443.432 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
336.655 449.164 m
338.624 447.85 l
335.061 444.777 l
333.044 446.927 l
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q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
340.358 449.074 m
342.292 449.441 l
338.624 447.85 l
336.655 449.164 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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346.003 448.667 l
342.292 449.441 l
340.358 449.074 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
347.753 441.345 m
349.684 445.395 l
346.003 448.667 l
344.079 446.286 l
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Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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353.29 440.323 l
349.684 445.395 l
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b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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356.822 434.58 l
353.29 440.323 l
351.355 435.392 l
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Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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360.326 429.192 l
356.822 434.58 l
354.909 429.585 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
362.063 420.874 m
363.857 424.739 l
360.326 429.192 l
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b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
365.736 418.07 m
367.453 421.345 l
363.857 424.739 l
362.063 420.874 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
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371.134 418.828 l
367.453 421.345 l
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Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
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374.9 416.906 l
371.134 418.828 l
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b
Q
q
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0 G
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1 i
308.201 433.881 m
310.311 435.556 l
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305.074 434.587 l
b
Q
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0 G
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1 i
311.337 433.585 m
313.453 434.941 l
310.311 435.556 l
308.201 433.881 l
b
Q
q
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0 G
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1 i
314.479 433.982 m
316.609 434.8 l
313.453 434.941 l
311.337 433.585 l
b
Q
q
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0 G
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1 i
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319.779 435.428 l
316.609 434.8 l
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b
Q
q
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0 G
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1 i
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322.976 437.094 l
319.779 435.428 l
317.629 435.364 l
b
Q
q
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0.422 g
0 G
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1 i
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326.225 439.872 l
322.976 437.094 l
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b
Q
q
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0 G
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1 i
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329.57 443.432 l
326.225 439.872 l
324.063 441.297 l
b
Q
q
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0 G
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1 i
330.963 447.579 m
333.044 446.927 l
329.57 443.432 l
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q
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0 G
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1 i
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336.655 449.164 l
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330.963 447.579 l
b
Q
q
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0 G
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1 i
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340.358 449.074 l
336.655 449.164 l
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b
Q
q
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0 G
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1 i
342.084 441.458 m
344.079 446.286 l
340.358 449.074 l
338.355 445.981 l
b
Q
q
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0 G
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1 i
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347.753 441.345 l
344.079 446.286 l
342.084 441.458 l
b
Q
q
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0 G
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1 i
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351.355 435.392 l
347.753 441.345 l
345.76 435.61 l
b
Q
q
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0 G
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1 i
352.978 424.438 m
354.909 429.585 l
351.355 435.392 l
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b
Q
q
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0 G
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1 i
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358.464 424.668 l
354.909 429.585 l
352.978 424.438 l
b
Q
q
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0 G
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1 i
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362.063 420.874 l
358.464 424.668 l
356.597 420.341 l
b
Q
q
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0 G
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1 i
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365.736 418.07 l
362.063 420.874 l
360.27 417.294 l
b
Q
q
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0 G
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1 i
367.821 413.242 m
369.485 415.969 l
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364.011 415.027 l
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Q
q
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0 G
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1 i
371.694 411.71 m
373.309 414.285 l
369.485 415.969 l
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b
Q
q
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0 G
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1 i
306.026 432.35 m
308.201 433.881 l
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b
Q
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0 G
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1 i
309.148 432.474 m
311.337 433.585 l
308.201 433.881 l
306.026 432.35 l
b
Q
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0 G
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1 i
312.266 433.474 m
314.479 433.982 l
311.337 433.585 l
309.148 432.474 l
b
Q
q
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0 G
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1 i
315.394 435.538 m
317.629 435.364 l
314.479 433.982 l
312.266 433.474 l
b
Q
q
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0.376 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
318.569 438.563 m
320.81 437.873 l
317.629 435.364 l
315.394 435.538 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.511 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
321.845 441.985 m
324.063 441.297 l
320.81 437.873 l
318.569 438.563 l
b
Q
q
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0 G
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1 i
325.271 444.79 m
327.438 444.914 l
324.063 441.297 l
321.845 441.985 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.775 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
328.858 445.827 m
330.963 447.579 l
327.438 444.914 l
325.271 444.79 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.841 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
332.567 444.357 m
334.623 448.13 l
330.963 447.579 l
328.858 445.827 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
336.326 440.47 m
338.355 445.981 l
334.623 448.13 l
332.567 444.357 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
340.063 435.031 m
342.084 441.458 l
338.355 445.981 l
336.326 440.47 l
b
Q
q
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0 G
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1 i
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345.76 435.61 l
342.084 441.458 l
340.063 435.031 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
347.401 423.932 m
349.381 429.646 l
345.76 435.61 l
343.75 429.205 l
b
Q
q
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0.347 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
351.052 419.675 m
352.978 424.438 l
349.381 429.646 l
347.401 423.932 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
354.736 416.458 m
356.597 420.341 l
352.978 424.438 l
351.052 419.675 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
358.473 414.058 m
360.27 417.294 l
356.597 420.341 l
354.736 416.458 l
b
Q
q
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0 G
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1 i
362.274 412.187 m
364.011 415.027 l
360.27 417.294 l
358.473 414.058 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.132 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
366.134 410.6 m
367.821 413.242 l
364.011 415.027 l
362.274 412.187 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.124 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
370.051 409.145 m
371.694 411.71 l
367.821 413.242 l
366.134 410.6 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.147 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
303.781 430.968 m
306.026 432.35 l
302.903 432.816 l
300.671 431.127 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
306.882 431.542 m
309.148 432.474 l
306.026 432.35 l
303.781 430.968 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.238 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
309.979 433.055 m
312.266 433.474 l
309.148 432.474 l
306.882 431.542 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.326 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
313.097 435.493 m
315.394 435.538 l
312.266 433.474 l
309.979 433.055 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.443 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
316.292 438.453 m
318.569 438.563 l
315.394 435.538 l
313.097 435.493 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.574 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
319.62 441.099 m
321.845 441.985 l
318.569 438.563 l
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Q
q
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0 G
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325.271 444.79 l
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319.62 441.099 l
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0 G
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328.858 445.827 l
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332.567 444.357 l
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336.326 440.47 l
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340.063 435.031 l
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343.75 429.205 l
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347.401 423.932 l
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0 G
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351.052 419.675 l
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0 G
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354.736 416.458 l
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358.473 414.058 l
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362.274 412.187 l
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366.134 410.6 l
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370.051 409.145 l
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364.416 407.991 l
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303.781 430.968 l
300.671 431.127 l
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0 G
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306.882 431.542 l
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301.469 429.667 l
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309.979 433.055 l
306.882 431.542 l
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313.097 435.493 l
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316.292 438.453 l
313.097 435.493 l
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319.62 441.099 l
316.292 438.453 l
314.029 436.917 l
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323.12 442.388 l
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326.776 441.518 l
323.12 442.388 l
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0 G
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330.527 438.369 l
326.776 441.518 l
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334.298 433.574 l
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338.041 428.16 l
334.298 433.574 l
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341.745 423.058 l
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0 G
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345.432 418.81 l
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0 G
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349.133 415.527 l
345.432 418.81 l
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0 G
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352.872 413.045 l
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356.665 411.108 l
352.872 413.045 l
350.995 409.998 l
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360.513 409.476 l
356.665 411.108 l
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364.416 407.991 l
360.513 409.476 l
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0 G
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368.373 406.56 l
364.416 407.991 l
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301.469 429.667 l
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0 G
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304.552 430.598 l
301.469 429.667 l
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307.641 432.354 l
304.552 430.598 l
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1 i
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310.78 434.672 l
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1 i
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314.029 436.917 l
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0 G
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1 i
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317.441 438.207 l
314.029 436.917 l
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0 G
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321.022 437.77 l
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0 G
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324.734 435.339 l
321.022 437.77 l
318.978 431.694 l
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Q
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0 G
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328.508 431.307 l
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0 G
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1 i
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332.28 426.505 l
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Q
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0 G
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1 i
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336.023 421.786 l
332.28 426.505 l
330.256 420.141 l
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Q
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0 G
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1 i
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339.744 417.713 l
336.023 421.786 l
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0 G
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1 i
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343.463 414.472 l
339.744 417.713 l
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0 G
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1 i
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347.207 411.973 l
343.463 414.472 l
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Q
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0 G
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350.995 409.998 l
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Q
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0 G
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1 i
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354.832 408.335 l
350.995 409.998 l
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Q
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0 G
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1 i
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358.722 406.823 l
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Q
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0 G
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1 i
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362.664 405.372 l
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0 G
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1 i
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366.658 403.932 l
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Q
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0 G
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1 i
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299.101 428.298 l
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Q
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0 G
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1 i
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302.182 429.365 l
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1 i
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305.293 430.967 l
302.182 429.365 l
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0 G
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1 i
306.252 429.365 m
308.488 432.652 l
305.293 430.967 l
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0 G
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1 i
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311.824 433.732 l
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0 G
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1 i
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315.327 433.526 l
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0 G
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1 i
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318.978 431.694 l
315.327 433.526 l
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0 G
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1 i
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322.721 428.427 l
318.978 431.694 l
316.954 425.204 l
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Q
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0 G
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1 i
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326.494 424.336 l
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Q
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1 i
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330.256 420.141 l
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b
Q
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0 G
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1 i
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333.997 416.379 l
330.256 420.141 l
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b
Q
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0 G
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1 i
335.693 409.615 m
337.731 413.284 l
333.997 416.379 l
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0 G
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1 i
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341.48 410.829 l
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Q
q
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0 G
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345.262 408.852 l
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Q
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0 G
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Q
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0 G
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Q
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0 G
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356.894 404.169 l
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351.06 402.954 l
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0 G
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360.872 402.713 l
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364.903 401.248 l
360.872 402.713 l
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0 G
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1 i
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299.802 427.57 l
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294.278 424.604 l
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1 i
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302.971 428.637 l
299.802 427.57 l
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0 G
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1 i
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306.252 429.365 l
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309.684 429.201 l
306.252 429.365 l
304.064 425.126 l
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1 i
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313.264 427.8 l
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0 G
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316.954 425.204 l
313.264 427.8 l
311.203 421.91 l
b
Q
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1 i
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320.702 421.82 l
316.954 425.204 l
314.904 419.15 l
b
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0 G
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324.457 418.209 l
320.702 421.82 l
318.635 416.111 l
b
Q
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0 G
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326.103 410.56 m
328.203 414.844 l
324.457 418.209 l
322.369 413.169 l
b
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0 G
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1 i
329.846 408.339 m
331.943 411.972 l
328.203 414.844 l
326.103 410.56 l
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Q
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1 i
333.614 406.447 m
335.693 409.615 l
331.943 411.972 l
329.846 408.339 l
b
Q
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0 G
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1 i
337.418 404.774 m
339.468 407.668 l
335.693 409.615 l
333.614 406.447 l
b
Q
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0 G
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343.284 405.985 l
339.468 407.668 l
337.418 404.774 l
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Q
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0 G
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345.163 401.723 m
347.147 404.44 l
343.284 405.985 l
341.266 403.223 l
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Q
q
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0 G
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351.06 402.954 l
347.147 404.44 l
345.163 401.723 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
353.108 398.737 m
355.024 401.481 l
351.06 402.954 l
349.11 400.234 l
b
Q
q
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
357.16 397.226 m
359.037 400 l
355.024 401.481 l
353.108 398.737 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
0.119 g
0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
361.265 395.695 m
363.105 398.505 l
359.037 400 l
357.16 397.226 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
291.864 422.05 m
294.278 424.604 l
291.161 424.319 l
288.696 422.098 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
1 J 1 j 0.184 w 10 M []0 d
1 i
295.099 421.951 m
297.441 425.076 l
294.278 424.604 l
291.864 422.05 l
b
Q
q
1.0011 0 0 0.9989 0 0 cm
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0 G
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1 i
298.435 421.51 m
300.689 425.389 l
297.441 425.076 l
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Q
q
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0 G
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0 G
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329.846 408.339 l
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0 G
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316.495 411.426 l
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Q
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Q
q
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0 G
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327.698 405.193 l
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Q
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0 G
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331.489 403.543 l
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Q
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335.321 401.989 l
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Q
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Q
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Q
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Q
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Q
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Q
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Q
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Q
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Q
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0 G
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Q
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Q
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Q
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Q
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386.136 433.223 l
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S
Q
BT
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(-5)Tj
ET
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Q
BT
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(0)Tj
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(-5)Tj
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Q
BT
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(5)Tj
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BT
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(0)Tj
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Q
BT
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(25)Tj
ET
q
1.0011 0 0 0.9989 0 0 cm
0 G
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BT
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(.)Tj
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Q
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W n
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(1)Tj
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f
q
1 i
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Q
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(-6)Tj
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BT
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(-4)Tj
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BT
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(-2)Tj
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Q
BT
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(0)Tj
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0 G
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BT
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(2)Tj
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Q
BT
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(4)Tj
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0 G
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Q
BT
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(6)Tj
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1 i
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0 G
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Q
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BT
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BT
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(-4)Tj
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(-2)Tj
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293.747 295.988 m
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Q
BT
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(0)Tj
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q
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Q
BT
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(2)Tj
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q
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0 G
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293.747 318.478 m
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Q
BT
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(4)Tj
ET
q
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0 G
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S
Q
BT
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(6)Tj
ET
q
1 i
298.621 253.541 79.675 77.769 re
W n
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1.0122 0 0 0.988 0 0 cm
0 G
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295.259 275.963 295.396 276.676 295.663 277.345 c
297.456 281.487 m
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298.666 283.309 297.933 282.469 297.456 281.487 c
302.452 264.915 m
302.715 264.607 303.004 264.318 303.312 264.055 c
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300.579 271.831 300.531 270.425 300.729 269.058 c
301.667 277.345 m
301.269 275.988 300.933 274.604 300.754 273.202 c
303.312 281.361 m
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319.277 289.773 m
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332.313 266.653 m
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336.456 283.927 m
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336.456 306.114 m
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353.028 285.294 m
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b
q
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S
Q
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b
BT
/TT2 1 Tf
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(x)Tj
0.5 -0.5625 TD
(1)Tj
-3.625 12.1875 TD
(x)Tj
0.5 -0.5625 TD
(2)Tj
-7.4375 2.6875 TD
(p\(x)Tj
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(1)Tj
0.5562 0.5625 TD
(,x)Tj
0.7778 -0.5625 TD
(2)Tj
0.5562 0.5625 TD
(\))Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
259.887 480.995 m
300.684 532.738 l
S
Q
300.312 533.399 m
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b
1 g
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f
q
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S
Q
BT
/TT7 1 Tf
4.4617 0 0 4.4727 221.278 308.2034 Tm
0 g
(-5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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237.6 311.156 m
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S
Q
BT
4.4617 0 0 4.4727 232.0016 308.0834 Tm
(-2.5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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S
Q
BT
4.4617 0 0 4.4727 249.2427 308.0834 Tm
(0)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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264.36 311.156 m
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S
Q
BT
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(2.5)Tj
ET
q
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S
Q
BT
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(5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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S
Q
BT
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(7.5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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S
Q
BT
4.4617 0 0 4.4727 301.3171 308.0834 Tm
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ET
q
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S
Q
BT
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(-5)Tj
ET
q
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S
Q
q
201.426 304.251 104.849 105.109 re
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BT
4.4617 0 0 4.4727 201.0123 335.7213 Tm
(-)Tj
ET
Q
BT
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(2.5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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S
Q
BT
4.4617 0 0 4.4727 208.8892 349.0918 Tm
(0)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
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212.037 363.478 m
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S
Q
BT
4.4617 0 0 4.4727 203.6523 362.5139 Tm
(2.5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
1 J 1 j 0.182 w
212.037 376.858 m
213.174 376.858 l
S
Q
BT
4.4617 0 0 4.4727 208.9323 375.9707 Tm
(5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
1 J 1 j 0.182 w
212.037 390.239 m
213.174 390.239 l
S
Q
BT
4.4617 0 0 4.4727 203.6523 389.3675 Tm
(7.5)Tj
ET
q
0.9988 0 0 1.0012 0 0 cm
1 J 1 j 0.182 w
212.037 403.619 m
213.174 403.619 l
S
Q
BT
4.4617 0 0 4.4727 206.2492 402.6967 Tm
(10)Tj
ET
q
213.251 313.022 90.872 91.097 re
W n
q
0.9988 0 0 1.0012 0 0 cm
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S
237.459 360.017 m
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247.035 327.001 247.034 327 v
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256.613 332.819 m
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S
251.825 332.826 m
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253.993 384.464 m
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252.926 394.042 m
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252.914 398.83 m
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253.977 403.619 m
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256.613 327.682 m
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256.613 332.819 m
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261.403 340.694 m
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256.613 339.101 m
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261.403 343.879 m
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256.613 341.794 m
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256.613 344.489 m
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256.613 347.747 m
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256.613 359.311 m
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256.613 362.546 m
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256.613 368.132 m
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256.613 365.329 m
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256.613 371.267 m
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261.403 402.296 m
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261.403 331.731 m
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266.191 336.176 m
264.693 334.633 263.102 333.18 261.464 331.789 c
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263.427 355.732 m
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263.119 360.521 m
263.856 359.102 263.769 357.295 263.427 355.732 c
S
265.808 365.31 m
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263.106 379.675 m
262.981 378.016 262.685 376.222 261.691 374.887 c
262.836 384.464 m
262.96 382.871 263.226 381.269 263.106 379.675 c
S
265.677 384.464 m
265.798 383.274 266.097 382.105 266.191 380.913 c
262.375 389.253 m
262.436 387.65 262.71 386.062 262.836 384.464 c
265.259 389.253 m
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262.541 394.042 m
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265.995 394.042 m
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264.485 398.83 m
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266.191 394.421 m
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(x)Tj
/T12 1 Tf
32.0002 8 TD
-0.0002 Tc
()Tj
/T9 1 Tf
46 -8 TD
8.9998 Tc
(x)Tj
/T12 1 Tf
55.9998 8 TD
0.0002 Tc
()Tj
/T9 1 Tf
47.0002 -8 TD
9 Tc
[( )-2000(x)]TJ
/T12 1 Tf
153.9998 8 TD
0 Tc
()Tj
/T10 1 Tf
22.0002 0 TD
(n)Tj
/T6 1 Tf
31 -8 TD
28 Tc
[(i)28000(s)]TJ
/T19 1 Tf
-1713.0002 23 TD
0 Tc
(q)Tj
ET
q
77.04 0 0 -0.54 189.882 598.458 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 189.9 594.48 Tm
(P)Tj
/T10 1 Tf
59 14 TD
(n)Tj
0 44 TD
(j)Tj
/T12 1 Tf
20 0 TD
(\015)Tj
/T6 1 Tf
59 -16 TD
()Tj
/T9 1 Tf
22 0 TD
(x)Tj
/T12 1 Tf
32 8 TD
()Tj
/T10 1 Tf
22 0 TD
(j)Tj
/T7 1 Tf
35.0001 -8 TD
()Tj
/T9 1 Tf
54.9999 0 TD
(x)Tj
/T12 1 Tf
32.0001 8 TD
()Tj
/T10 1 Tf
21.9999 0 TD
(j)Tj
/T6 1 Tf
23.0001 -8 TD
()Tj
/T12 1 Tf
22 -16 TD
()Tj
/T6 1 Tf
25 16 TD
()Tj
58 0 TD
[(This)-24000.1(distance)-23000.1(measure)-21000(is)-25000(often)-23000(mo)-2000(died)-22000(b)]TJ
1043.9999 0 TD
(y)Tj
/T11 1 Tf
54.0002 0 TD
(sc)Tj
44.9998 0 TD
0.0001 Tc
(aling)Tj
/T6 1 Tf
-1684 81 TD
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[(the)-18000(features)-16000(s)0.1(o)-19000.1(t)0(hat)-16999.9(t)-0.1(he)-17999.9(spread)-17000(of)-18000.1(attribute)-16999.9(v)]TJ
1089.0002 0 TD
[(alues)-18000.2(a)0(long)-18000(eac)]TJ
362.9998 0 TD
[(h)-18000(d)-0.2(imension)-17000(is)]TJ
-1452 66 TD
(appro)Tj
137.9999 0 TD
[(ximately)-13000(t)-0.1(he)-14000.1(same)-22000(In)-13999.9(that)-14000(case)-15000(t)0(he)-13000.1(distance)-12999.8(b)-2000(e)0(t)]TJ
1167 0 TD
(w)Tj
38 0 TD
[(een)-14000.2(the)-13000(t)]TJ
206.0002 0 TD
(w)Tj
38 0 TD
15 Tc
(ov)Tj
70 0 TD
0 Tc
(ectors)Tj
-1657.0002 81.0002 TD
(w)Tj
37.9999 0 TD
0.0001 Tc
[(ould)-16999.8(b)-1999.9(e)]TJ
/T19 1 Tf
195.0001 -60.0002 TD
0 Tc
(q)Tj
ET
q
88.38 0 0 -0.54 232.002 557.238 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 232.02 553.26 Tm
(P)Tj
/T10 1 Tf
58 12.9998 TD
(n)Tj
0 44.9998 TD
(j)Tj
/T12 1 Tf
20 0 TD
(\015)Tj
/T9 1 Tf
69.0001 -16.9995 TD
(a)Tj
/T12 1 Tf
29 -19.0002 TD
()Tj
/T10 1 Tf
0 35.0002 TD
(j)Tj
/T6 1 Tf
25 -16 TD
()Tj
/T9 1 Tf
22 0 TD
(x)Tj
/T12 1 Tf
31.9999 7.9995 TD
()Tj
/T10 1 Tf
22.0001 0 TD
(j)Tj
/T7 1 Tf
34 -7.9995 TD
()Tj
/T9 1 Tf
55.9999 0 TD
(x)Tj
/T12 1 Tf
32 7.9995 TD
()Tj
/T10 1 Tf
22 0 TD
(j)Tj
/T6 1 Tf
23.0001 -7.9995 TD
()Tj
/T12 1 Tf
21.9999 -16 TD
()Tj
/T6 1 Tf
24.0001 16 TD
18 Tc
[(w)18000.1(h)17999.9(e)18000(r)18000.1(e)]TJ
/T9 1 Tf
191 0 TD
0 Tc
(a)Tj
/T10 1 Tf
29 7.9995 TD
(j)Tj
/T6 1 Tf
40.0001 -7.9995 TD
[(is)-17000(the)-15000.2(s)0.2(cale)-16000(factor)-15000(for)-16000(dimension)]TJ
/T9 1 Tf
-1039.0002 78.9998 TD
(j)Tj
/T6 1 Tf
25.9999 0 TD
()Tj
57.0001 76 TD
[(An)-14000.1(example)-13000(of)-15000(a)-14000(n)-0.1(earest neigh)]TJ
722.9999 0 TD
[(b)-2000(o)-0.1(r)-11999.9(d)-0.1(ecision)-14000.2(problem)-12000(i)-0.2(s)-15999.8(s)0(ho)]TJ
644 0 TD
[(wn)-13999.8(in)-15000(Fig)-24000()]TJ
-1450 66 TD
[(In)-16000(the)-14999.9()-0.1(gure)-14000(the)-15000.1(c)0(lass)-15000(of)-16000.1(a)-16000(t)0(raining)-14000(pattern)-14000(is)-16000.2(indicated)-14000(b)]TJ
1356.0002 0 TD
[(y)-17000(the)-15000(n)]TJ
168 0 TD
(um)Tj
76 0 TD
[(b)-2000(e)0(r)-14000(next)]TJ
-1600.0002 67 TD
-0.0001 Tc
[(to)-18000.1(it)]TJ
ET
1 g
257 478.48 170 -194 re
f
0 g
1 i
302.322 431.76 m
302.322 432.148 302.008 432.463 301.62 432.463 c
301.232 432.463 300.918 432.148 300.918 431.76 c
300.918 431.372 301.232 431.057 301.62 431.057 c
302.008 431.057 302.322 431.372 302.322 431.76 c
f
293.562 413.46 m
293.562 413.848 293.248 414.163 292.86 414.163 c
292.472 414.163 292.158 413.848 292.158 413.46 c
292.158 413.072 292.472 412.757 292.86 412.757 c
293.248 412.757 293.562 413.072 293.562 413.46 c
f
359.562 421.56 m
359.562 421.948 359.248 422.263 358.86 422.263 c
358.472 422.263 358.158 421.948 358.158 421.56 c
358.158 421.172 358.472 420.857 358.86 420.857 c
359.248 420.857 359.562 421.172 359.562 421.56 c
f
348.282 417.72 m
348.282 418.108 347.968 418.423 347.58 418.423 c
347.192 418.423 346.878 418.108 346.878 417.72 c
346.878 417.332 347.192 417.017 347.58 417.017 c
347.968 417.017 348.282 417.332 348.282 417.72 c
f
354.642 396.96 m
354.642 397.348 354.328 397.663 353.94 397.663 c
353.552 397.663 353.238 397.348 353.238 396.96 c
353.238 396.572 353.552 396.257 353.94 396.257 c
354.328 396.257 354.642 396.572 354.642 396.96 c
f
277.002 387.48 m
277.002 387.868 276.688 388.183 276.3 388.183 c
275.912 388.183 275.598 387.868 275.598 387.48 c
275.598 387.092 275.912 386.777 276.3 386.777 c
276.688 386.777 277.002 387.092 277.002 387.48 c
f
330.402 437.04 m
330.402 437.428 330.088 437.743 329.7 437.743 c
329.312 437.743 328.998 437.428 328.998 437.04 c
328.998 436.652 329.312 436.337 329.7 436.337 c
330.088 436.337 330.402 436.652 330.402 437.04 c
f
358.482 388.2 m
358.482 388.588 358.168 388.903 357.78 388.903 c
357.392 388.903 357.078 388.588 357.078 388.2 c
357.078 387.812 357.392 387.497 357.78 387.497 c
358.168 387.497 358.482 387.812 358.482 388.2 c
f
322.362 432.12 m
322.362 432.508 322.048 432.823 321.66 432.823 c
321.272 432.823 320.958 432.508 320.958 432.12 c
320.958 431.732 321.272 431.417 321.66 431.417 c
322.048 431.417 322.362 431.732 322.362 432.12 c
f
278.442 406.44 m
278.442 406.828 278.128 407.143 277.74 407.143 c
277.352 407.143 277.038 406.828 277.038 406.44 c
277.038 406.052 277.352 405.737 277.74 405.737 c
278.128 405.737 278.442 406.052 278.442 406.44 c
f
269.682 388.2 m
269.682 388.588 269.368 388.903 268.98 388.903 c
268.592 388.903 268.278 388.588 268.278 388.2 c
268.278 387.812 268.592 387.497 268.98 387.497 c
269.368 387.497 269.682 387.812 269.682 388.2 c
f
285.102 397.68 m
285.102 398.068 284.788 398.383 284.4 398.383 c
284.012 398.383 283.698 398.068 283.698 397.68 c
283.698 397.292 284.012 396.977 284.4 396.977 c
284.788 396.977 285.102 397.292 285.102 397.68 c
f
302.322 414.84 m
302.322 415.228 302.008 415.543 301.62 415.543 c
301.232 415.543 300.918 415.228 300.918 414.84 c
300.918 414.452 301.232 414.137 301.62 414.137 c
302.008 414.137 302.322 414.452 302.322 414.84 c
f
336.402 440.52 m
336.402 440.908 336.088 441.223 335.7 441.223 c
335.312 441.223 334.998 440.908 334.998 440.52 c
334.998 440.132 335.312 439.817 335.7 439.817 c
336.088 439.817 336.402 440.132 336.402 440.52 c
f
320.202 393.42 m
320.202 393.808 319.888 394.123 319.5 394.123 c
319.112 394.123 318.798 393.808 318.798 393.42 c
318.798 393.032 319.112 392.717 319.5 392.717 c
319.888 392.717 320.202 393.032 320.202 393.42 c
f
317.802 381.48 m
317.802 381.868 317.488 382.183 317.1 382.183 c
316.712 382.183 316.398 381.868 316.398 381.48 c
316.398 381.092 316.712 380.777 317.1 380.777 c
317.488 380.777 317.802 381.092 317.802 381.48 c
f
327.582 384.3 m
327.582 384.688 327.268 385.003 326.88 385.003 c
326.492 385.003 326.178 384.688 326.178 384.3 c
326.178 383.912 326.492 383.597 326.88 383.597 c
327.268 383.597 327.582 383.912 327.582 384.3 c
f
330.042 393.12 m
330.042 393.508 329.728 393.823 329.34 393.823 c
328.952 393.823 328.638 393.508 328.638 393.12 c
328.638 392.732 328.952 392.417 329.34 392.417 c
329.728 392.417 330.042 392.732 330.042 393.12 c
f
291.402 429.6 m
291.402 429.988 291.088 430.303 290.7 430.303 c
290.312 430.303 289.998 429.988 289.998 429.6 c
289.998 429.212 290.312 428.897 290.7 428.897 c
291.088 428.897 291.402 429.212 291.402 429.6 c
f
296.682 422.94 m
296.682 423.328 296.368 423.643 295.98 423.643 c
295.592 423.643 295.278 423.328 295.278 422.94 c
295.278 422.552 295.592 422.237 295.98 422.237 c
296.368 422.237 296.682 422.552 296.682 422.94 c
f
362.682 431.04 m
362.682 431.428 362.368 431.743 361.98 431.743 c
361.592 431.743 361.278 431.428 361.278 431.04 c
361.278 430.652 361.592 430.337 361.98 430.337 c
362.368 430.337 362.682 430.652 362.682 431.04 c
f
351.522 427.2 m
351.522 427.588 351.208 427.903 350.82 427.903 c
350.432 427.903 350.118 427.588 350.118 427.2 c
350.118 426.812 350.432 426.497 350.82 426.497 c
351.208 426.497 351.522 426.812 351.522 427.2 c
f
357.822 406.44 m
357.822 406.828 357.508 407.143 357.12 407.143 c
356.732 407.143 356.418 406.828 356.418 406.44 c
356.418 406.052 356.732 405.737 357.12 405.737 c
357.508 405.737 357.822 406.052 357.822 406.44 c
f
280.182 396.96 m
280.182 397.348 279.868 397.663 279.48 397.663 c
279.092 397.663 278.778 397.348 278.778 396.96 c
278.778 396.572 279.092 396.257 279.48 396.257 c
279.868 396.257 280.182 396.572 280.182 396.96 c
f
333.582 446.52 m
333.582 446.908 333.268 447.223 332.88 447.223 c
332.492 447.223 332.178 446.908 332.178 446.52 c
332.178 446.132 332.492 445.817 332.88 445.817 c
333.268 445.817 333.582 446.132 333.582 446.52 c
f
361.662 397.68 m
361.662 398.068 361.348 398.383 360.96 398.383 c
360.572 398.383 360.258 398.068 360.258 397.68 c
360.258 397.292 360.572 396.977 360.96 396.977 c
361.348 396.977 361.662 397.292 361.662 397.68 c
f
325.482 441.6 m
325.482 441.988 325.168 442.303 324.78 442.303 c
324.392 442.303 324.078 441.988 324.078 441.6 c
324.078 441.212 324.392 440.897 324.78 440.897 c
325.168 440.897 325.482 441.212 325.482 441.6 c
f
300.903 394.32 m
300.903 395.581 299.88 396.604 298.62 396.604 c
297.36 396.604 296.337 395.581 296.337 394.32 c
296.337 393.059 297.36 392.036 298.62 392.036 c
299.88 392.036 300.903 393.059 300.903 394.32 c
f
0 G
0 J 0 j 0 w 10 M []0 d
324.085 394.32 m
324.085 408.385 312.677 419.8 298.62 419.8 c
284.563 419.8 273.155 408.385 273.155 394.32 c
273.155 380.255 284.563 368.84 298.62 368.84 c
312.677 368.84 324.085 380.255 324.085 394.32 c
S
BT
/TT2 1 Tf
6.3223 0 0 6.3261 271.0496 345.6321 Tm
0 Tc
(k = 8)Tj
/TT4 1 Tf
9.1667 1.3889 TD
(X)Tj
ET
300.554 391.672 m
326.897 360.744 l
S
300.554 391.672 m
301.912 386.827 l
302.604 389.265 l
305.119 389.562 l
b
BT
/TT2 1 Tf
6.3223 0 0 6.3261 335.6778 354.7698 Tm
(\(a pattern to be classified\))Tj
-9.2778 4.3333 TD
(1)Tj
-0.6111 4 TD
(1)Tj
0.3333 -2 TD
(1)Tj
1.5 0.3333 TD
(1)Tj
11.4444 1.2778 TD
(1)Tj
0.6667 -1.5 TD
(1)Tj
-1.9444 -0.1111 TD
(1)Tj
1.5 -1.3889 TD
(1)Tj
-11.1111 4 TD
(2)Tj
-3.8333 -4 TD
(1)Tj
6.1667 4.1667 TD
(2)Tj
-2.6667 2.3889 TD
(2)Tj
1.8333 -1 TD
(2)Tj
-0.0556 1.3889 TD
(2)Tj
7.1667 -2.2222 TD
(2)Tj
0.5556 1.5556 TD
(2)Tj
2.7222 0.5 TD
(2)Tj
-0.4444 -1.5556 TD
(2)Tj
-7.2778 -4.2778 TD
(3)Tj
-0.1111 -1.4444 TD
(3)Tj
1.8889 1.8333 TD
(3)Tj
0.2778 -2 TD
(3)Tj
-1.7222 7.5 TD
(3)Tj
0.6111 1.9445 TD
(3)Tj
1.3889 -1.6667 TD
(3)Tj
1.1667 1.2222 TD
(3)Tj
-0.4444 1.1667 TD
(3)Tj
ET
361.67 433.494 m
364.479 463.719 l
S
361.67 433.494 m
364.191 437.848 l
361.962 436.644 l
359.994 438.239 l
b
BT
6.3223 0 0 6.3261 353.9423 464.4219 Tm
(training pattern)Tj
-14.1111 0.2778 TD
(class of training pattern)Tj
ET
277.723 465.476 m
297.744 435.955 l
S
297.744 435.955 m
296.924 440.919 l
295.969 438.572 l
293.436 438.551 l
b
BT
6.3223 0 0 6.3261 282.6405 335.7916 Tm
(four patterns of category 1)Tj
0 -1.2222 TD
(two patterns of category 2)Tj
T*
(two patterns of category 3)Tj
0 -2.4444 TD
(plurality are in category 1, so)Tj
0 -1.2778 TD
(decide )Tj
/TT4 1 Tf
3.2246 0 TD
(X)Tj
/TT2 1 Tf
0.667 0 TD
( is in category 1)Tj
/T6 1 Tf
0.18 0 0 -0.18 246.24 257.52 Tm
[(Figure)-16999.9()-25000.1(An)-18000( Nearest Neigh)]TJ
765 0 TD
[(b)-2000.2(o)0(r)-13999.8(D)-0.2(ecision)]TJ
/T12 1 Tf
-1472 60 TD
(See)Tj
0 44 TD
[(Baum)-14000(\012)]TJ
0 45 TD
[(for)-14999.9(t)-0.1(heoretical)]TJ
0 44.0001 TD
[(analysis)-13999.9(of)]TJ
0 43.9999 TD
[(error)-16000(rate)-15000(as)-15000(a)]TJ
0 45 TD
[(function)-16000(of)-14000(the)]TJ
0 44 TD
(n)Tj
23 0 TD
-0.0001 Tc
(um)Tj
60 0 TD
1 Tc
[(be)1000(r)-15000(o)1000(f)]TJ
-83 44.0001 TD
0 Tc
(training)Tj
0 43.9999 TD
[(patterns)-15999.9(f)-0.1(or)]TJ
0 44.9999 TD
0.0001 Tc
[(the)-16000(c)0.2(ase)-12999.8(in)]TJ
0 44 TD
0 Tc
(whic)Tj
88 0 TD
0.0001 Tc
[(h)-14999.9(p)-999.9(oin)]TJ
122.0001 0 TD
-0.0001 Tc
(ts)Tj
-210.0001 44.0001 TD
0 Tc
[(are)-14999.9(r)-0.1(andomly)]TJ
T*
[(distributed)-15999.9(o)0(n)]TJ
0 45 TD
[(the)-16000.1(s)0.1(urface)-14000(of)-15000(a)]TJ
0 43.9999 TD
[(unit)-16000(sphere)]TJ
0 44.0001 TD
[(and)-16000(underlying)]TJ
0 45 TD
[(function)-16000(is)]TJ
0 43.9999 TD
(linearly)Tj
0 44.0001 TD
(separable )Tj
/T6 1 Tf
422.0001 -721.0001 TD
(Nearest neigh)Tj
331.9999 0 TD
[(b)-2000.1(o)0.1(r)-17000.1(metho)-2000(ds)-17000.1(are)-19999.9(m)-0.1(emory)-17999.9(in)]TJ
680.0002 0 TD
-0.0001 Tc
(tensiv)Tj
142 0 TD
0 Tc
[(e)-20000(b)-2000(ecause)-18000.2(a)-21000(large)-19000(n)]TJ
467 0 TD
(um )Tj
-1704.0002 66 TD
2.0001 Tc
[(be)2000.1(r)]TJ
114.9999 0 TD
0 Tc
(of)Tj
81 0 TD
(training)Tj
227.0001 0 TD
(patterns)Tj
236.9999 0 TD
(m)Tj
45 0 TD
0.0001 Tc
(ust)Tj
110.0001 0 TD
2 Tc
(be)Tj
93 0 TD
0 Tc
(stored)Tj
184.9999 0 TD
0.0002 Tc
(to)Tj
85.0002 0 TD
0 Tc
(ac)Tj
50.9998 0 TD
(hiev)Tj
98.0002 0 TD
(e)Tj
60.9998 0 TD
0.0002 Tc
[(go)-1999.6(o)-1999.8(d)]TJ
154 0 TD
0 Tc
(generaliza )Tj
-1542 66.0001 TD
(tion)Tj
172.9999 0 TD
[(Since)-30000(memory)-29000(cost)-29000(is)-31999.9(no)]TJ
636 0 TD
[(w)-31000(reasonably)-29000(l)0(o)]TJ
400 0 TD
0.0002 Tc
(w)Tj
90.0002 0 TD
0 Tc
[(the)-30000(metho)-2000(d)-28000(and)-30000(its)]TJ
-1299.0002 66.9999 TD
(deriv)Tj
118.9999 0 TD
(ativ)Tj
92 0 TD
[(es)-28000(ha)]TJ
132 0 TD
(v)Tj
27.0001 0 TD
[(e)-29000(seen)-27000(sev)]TJ
258 0 TD
[(eral)-28000(practical)-27000(a)0(pplications)]TJ
714.9999 0 TD
[(See)-30000.2(for)-28000(example)]TJ
-1343 66 TD
[(Mo)-1999.9(ore)-17000( )]TJ
313.9999 0 TD
[()-17000(M)0(o)-2000(ore)]TJ
/T11 1 Tf
219.0001 0 TD
[(et)-20999.9(al)]TJ
/T6 1 Tf
122.9999 0 TD
19.0001 Tc
[( )19000.2()19000()19000.1()]TJ
145 0 TD
0 Tc
[()-25000.1(Also)-16000(t)0(he)-16000(distance)-14999.8(calculations)-13999.8(required)]TJ
-800.9999 67.0001 TD
[(to)-14000(nd)-15000(nearest)-11999.9(neigh)]TJ
487.0001 0 TD
[(b)-2000(ors)-12999.9(can)-15000(often)-13000(b)-2000(e)-14000(ecien)]TJ
589.9999 0 TD
[(tly)-14999.8(c)0(omputed)-11000(b)]TJ
361.0002 0 TD
(y)Tj
/T11 1 Tf
45 0 TD
(kdtr)Tj
111 0 TD
(e)Tj
22 0 TD
(e)Tj
/T6 1 Tf
42.9998 0 TD
(meth )Tj
-1659 65.9999 TD
2 Tc
[(od)2000(s)-15000()2000(F)]TJ
145.9999 0 TD
0 Tc
(riedman)Tj
/T11 1 Tf
232 0 TD
[(et)-21000(al)]TJ
/T6 1 Tf
123 0 TD
19 Tc
[( )19000()18999.9()19000()]TJ
144.0001 0 TD
-0.0001 Tc
()Tj
-562 75 TD
0 Tc
[(A)-18999.9(t)-0.1(heorem)-16000.1(b)]TJ
305.9999 0 TD
20 Tc
[(yC)19999.9(o)]TJ
115.0001 0 TD
0 Tc
(v)Tj
26.9999 0 TD
[(er)-19000(and)-18000(H)0(art)-18000.1()0.1(Co)]TJ
387 0 TD
(v)Tj
27.0001 0 TD
[(er)-19000()-18000(H)-0.2(art)-18000( \012)]TJ
383.9999 0 TD
[()-20000.2(relates)-18000.2(the)-18000(p)-2000(e)0(rfor )]TJ
-1329 67 TD
[(mance)-13000(of)-15000.1(the)-13000.1( )0.1( nearest neigh)]TJ
687.0001 0 TD
[(b)-2000(o)0(r)-12000(metho)-2000(d)-11999.9(t)0(o)-14000.1(t)-0.2(he)-14000.2(p)-2000(erformance)-10999.8(of)-14999.8(a)-14000(m)-0.2(inim)]TJ
1018.0001 0 TD
(um )Tj
ET
endstream
endobj
309 0 obj
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0.54 0 0 -12.06 426.762 619.6981 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 432.9 611.22 Tm
(P)Tj
33.0002 0 TD
[()-19000(Learnable)]TJ
ET
q
0.54 0 0 -12.06 498.222 619.6981 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 607.8181 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 605.478 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 604.938 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 596.46 Tm
(terms)Tj
ET
q
0.54 0 0 -12.06 281.142 604.938 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 304.92 596.46 Tm
()Tj
/T10 1 Tf
27.9999 -20.0002 TD
(n)Tj
ET
q
0.54 0 0 -12.06 338.742 604.938 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 358.92 596.46 Tm
[(p)-1999.9(o)0(lynomial)]TJ
ET
q
0.54 0 0 -12.06 426.762 604.938 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 455.94 596.46 Tm
(y)Tj
26.9998 0 TD
(es)Tj
ET
q
0.54 0 0 -12.06 498.222 604.938 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 593.058 cm
/Im1 Do
Q
q
0.54 0 0 -12.6 122.742 592.698 cm
/Im1 Do
Q
BT
/T9 1 Tf
0.18 0 0 -0.18 128.88 583.6801 Tm
(k)Tj
/T6 1 Tf
31 0 TD
[( term)-17000.1(DNF)]TJ
ET
q
0.54 0 0 -12.6 281.142 592.698 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 296.46 583.6801 Tm
()Tj
/T10 1 Tf
28.0001 -19.9998 TD
(O)Tj
/T12 1 Tf
34.9999 0 TD
()Tj
/T10 1 Tf
17 0 TD
1 Tc
(kn)Tj
/T12 1 Tf
52.0001 0 TD
0 Tc
()Tj
ET
q
0.54 0 0 -12.6 338.742 592.698 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 364.14 583.6801 Tm
(NP hard)Tj
ET
q
0.54 0 0 -12.6 426.762 592.698 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 457.38 583.6801 Tm
(no)Tj
ET
q
0.54 0 0 -12.6 498.222 592.698 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 580.278 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 571.8 Tm
()Tj
/T9 1 Tf
22 0 TD
(k)Tj
/T6 1 Tf
49 0 TD
(disjunctiv)Tj
235.9999 0 TD
[(e)-17000(t)-0.1(erms)]TJ
ET
q
0.54 0 0 -12.06 281.142 580.278 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 338.742 580.278 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 426.762 580.278 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 498.222 580.278 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 568.398 cm
/Im1 Do
Q
q
0.54 0 0 -13.68 122.742 567.858 cm
/Im1 Do
Q
BT
/T9 1 Tf
0.18 0 0 -0.18 128.88 557.76 Tm
(k)Tj
/T6 1 Tf
31 0 TD
( DNF)Tj
ET
q
0.54 0 0 -13.68 281.142 567.858 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 296.46 557.76 Tm
()Tj
/T10 1 Tf
28.0001 -20.0002 TD
(O)Tj
/T12 1 Tf
34.9999 0 TD
()Tj
/T10 1 Tf
17 0 TD
(n)Tj
/T16 1 Tf
27.0001 -16 TD
(k)Tj
/T12 1 Tf
24 16 TD
()Tj
ET
q
0.54 0 0 -13.68 338.742 567.858 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 358.92 557.76 Tm
[(p)-1999.9(o)0(lynomial)]TJ
ET
q
0.54 0 0 -13.68 426.762 567.858 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 455.94 557.76 Tm
(y)Tj
26.9998 0 TD
(es)Tj
ET
q
0.54 0 0 -13.68 498.222 567.858 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 554.178 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 545.7 Tm
[(a)-18000(disjunction)-17000(o)0(f)]TJ
/T9 1 Tf
416 0 TD
(k)Tj
/T6 1 Tf
31 0 TD
[( sized)-17000.1(terms)]TJ
ET
q
0.54 0 0 -12.06 281.142 554.178 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 338.742 554.178 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 426.762 554.178 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 498.222 554.178 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 542.298 cm
/Im1 Do
Q
q
0.54 0 0 -13.68 122.742 541.758 cm
/Im1 Do
Q
BT
/T9 1 Tf
0.18 0 0 -0.18 128.88 531.66 Tm
(k)Tj
/T6 1 Tf
31 0 TD
( CNF)Tj
ET
q
0.54 0 0 -13.68 281.142 541.758 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 296.46 531.66 Tm
()Tj
/T10 1 Tf
28.0001 -19.9998 TD
(O)Tj
/T12 1 Tf
34.9999 0 TD
()Tj
/T10 1 Tf
17 0 TD
(n)Tj
/T16 1 Tf
27.0001 -17.0005 TD
(k)Tj
/T12 1 Tf
24 17.0005 TD
()Tj
ET
q
0.54 0 0 -13.68 338.742 541.758 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 358.92 531.66 Tm
[(p)-1999.9(o)0(lynomial)]TJ
ET
q
0.54 0 0 -13.68 426.762 541.758 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 455.94 531.66 Tm
(y)Tj
26.9998 0 TD
(es)Tj
ET
q
0.54 0 0 -13.68 498.222 541.758 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 528.2581 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 519.78 Tm
[(a)-18000(conjunction)-15999.9(o)-0.1(f)]TJ
/T9 1 Tf
431 0 TD
(k)Tj
/T6 1 Tf
31 0 TD
[( sized)-16999.9(clauses)]TJ
ET
q
0.54 0 0 -12.06 281.142 528.2581 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 338.742 528.2581 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 426.762 528.2581 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 498.222 528.2581 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 516.198 cm
/Im1 Do
Q
q
0.54 0 0 -13.68 122.742 515.658 cm
/Im1 Do
Q
BT
/T9 1 Tf
0.18 0 0 -0.18 128.88 505.56 Tm
(k)Tj
/T6 1 Tf
31 0 TD
( DL)Tj
ET
q
0.54 0 0 -13.68 281.142 515.658 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 287.28 505.56 Tm
()Tj
/T10 1 Tf
28 -20 TD
(O)Tj
/T12 1 Tf
34.9999 0 TD
()Tj
/T10 1 Tf
17 0 TD
(n)Tj
/T16 1 Tf
27.0001 -17 TD
(k)Tj
/T10 1 Tf
23.9999 17 TD
(k)Tj
/T12 1 Tf
32 0 TD
(lg)Tj
/T10 1 Tf
43 0 TD
(n)Tj
/T12 1 Tf
27.0001 0 TD
()Tj
ET
q
0.54 0 0 -13.68 338.742 515.658 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 358.92 505.56 Tm
[(p)-1999.9(o)0(lynomial)]TJ
ET
q
0.54 0 0 -13.68 426.762 515.658 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 455.94 505.56 Tm
(y)Tj
26.9998 0 TD
(es)Tj
ET
q
0.54 0 0 -13.68 498.222 515.658 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 502.158 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 493.68 Tm
[(decision)-17000(l)0(ists)-19000.1(with)]TJ
/T9 1 Tf
472 0 TD
(k)Tj
/T6 1 Tf
31 0 TD
[( sized)-16999.9(terms)]TJ
ET
q
0.54 0 0 -12.06 281.142 502.158 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 338.742 502.158 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 426.762 502.158 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 498.222 502.158 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 490.278 cm
/Im1 Do
Q
q
0.54 0 0 -13.5 122.742 489.738 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 479.82 Tm
[(lin)-25999.9(sep)]TJ
ET
q
0.54 0 0 -13.5 281.142 489.738 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 296.64 479.82 Tm
()Tj
/T10 1 Tf
27.9999 -20 TD
(O)Tj
/T12 1 Tf
35.0001 0 TD
()Tj
/T10 1 Tf
17 0 TD
(n)Tj
/T17 1 Tf
26.9999 -17 TD
()Tj
/T12 1 Tf
22 17 TD
()Tj
ET
q
0.54 0 0 -13.5 338.742 489.738 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 358.92 479.82 Tm
[(p)-1999.9(o)0(lynomial)]TJ
ET
q
0.54 0 0 -13.5 426.762 489.738 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 455.94 479.82 Tm
(y)Tj
26.9998 0 TD
(es)Tj
ET
q
0.54 0 0 -13.5 498.222 489.738 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 476.4181 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 476.058 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 467.58 Tm
[(lin)-25999.9(sep)-23999.9(w)-0.1(ith)-18000()-0.1(\015 )-16999.9(w)]TJ
515 0 TD
(eigh)Tj
97.0001 0 TD
(ts)Tj
ET
q
0.54 0 0 -12.06 281.142 476.058 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 307.8 467.58 Tm
()Tj
ET
q
0.54 0 0 -12.06 338.742 476.058 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 364.14 467.58 Tm
(NP hard)Tj
ET
q
0.54 0 0 -12.06 426.762 476.058 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 457.38 467.58 Tm
(no)Tj
ET
q
0.54 0 0 -12.06 498.222 476.058 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 463.998 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 463.638 cm
/Im1 Do
Q
BT
/T9 1 Tf
0.18 0 0 -0.18 128.88 455.16 Tm
(k)Tj
/T6 1 Tf
31 0 TD
( NN)Tj
ET
q
0.54 0 0 -12.06 281.142 463.638 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 307.8 455.16 Tm
()Tj
ET
q
0.54 0 0 -12.06 338.742 463.638 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 364.14 455.16 Tm
(NP hard)Tj
ET
q
0.54 0 0 -12.06 426.762 463.638 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 457.38 455.16 Tm
(no)Tj
ET
q
0.54 0 0 -12.06 498.222 463.638 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 451.758 cm
/Im1 Do
Q
q
0.54 0 0 -12.42 122.742 451.218 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 442.38 Tm
(DNF)Tj
ET
q
0.54 0 0 -12.42 281.142 451.218 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 302.94 442.38 Tm
()Tj
/T12 1 Tf
28 -20 TD
()Tj
/T16 1 Tf
22 -17 TD
(n)Tj
ET
q
0.54 0 0 -12.42 338.742 451.218 cm
/Im1 Do
Q
BT
/T6 1 Tf
0.18 0 0 -0.18 358.92 442.38 Tm
[(p)-1999.9(o)0(lynomial)]TJ
ET
q
0.54 0 0 -12.42 426.762 451.218 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 457.38 442.38 Tm
(no)Tj
ET
q
0.54 0 0 -12.42 498.222 451.218 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 438.978 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 128.88 430.5 Tm
[(all)-19000.1(B)-0.1(o)-1999.9(o)0(lean)-17000(functions)]TJ
ET
q
0.54 0 0 -12.06 281.142 438.978 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 338.742 438.978 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 426.762 438.978 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 498.222 438.978 cm
/Im1 Do
Q
q
375.66 0 0 -0.54 122.922 427.0981 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 122.742 426.558 cm
/Im1 Do
Q
q
0.54 0 0 -12.06 281.142 426.558 cm
/Im1 Do
Q
BT
0.18 0 0 -0.18 108 396.3 Tm
(Mem)Tj
143.0001 0 TD
[(b)-2000(e)0(rs)-19999.9(of)-23000(the)-22000.1(class)]TJ
/T9 1 Tf
424 0 TD
(k)Tj
/T6 1 Tf
31 0 TD
[( NN)-22000.1(are)-21999.9(t)]TJ
269 0 TD
(w)Tj
38 0 TD
0.0001 Tc
(o la)Tj
87.0001 0 TD
0 Tc
(y)Tj
27 0 TD
[(er)-26000(feedforw)]TJ
290.9999 0 TD
[(ard)-21000.1(n)0.1(eural)-22000(n)0.2(et)]TJ
352.0002 0 TD
(w)Tj
37.9998 0 TD
(orks)Tj
-1700 66.0002 TD
[(with)-18000.1(exactly)]TJ
/T9 1 Tf
317.0001 0 TD
(k)Tj
/T6 1 Tf
49 0 TD
[(hidden)-17000(units)-18000(and)-16999.9(one)-18000.1(output)-16000(u)-0.1(nit)]TJ
-283.0001 80.9998 TD
[(Summary)-25000(In)-20000(order)-18000(to)-19000(sho)]TJ
640.0001 0 TD
[(w)-20000.1(t)0.1(hat)-18000.1(a)-19999.9(class)-19000(of)-20000(functions)-18000(is)]TJ
/T11 1 Tf
722.0001 0 TD
(Pr)Tj
58.0001 0 TD
(op)Tj
53 0 TD
-0.0001 Tc
[(erly)-23000.1(P)]TJ
145.9998 0 TD
0 Tc
(A)Tj
40 0 TD
0.0002 Tc
(C)Tj
-1742 66.0001 TD
0 Tc
(L)Tj
32.0001 0 TD
(e)Tj
21.9999 0 TD
(arnable)Tj
/T6 1 Tf
195.0001 0 TD
()Tj
-181 130.9999 TD
[(a)-27000(Sho)]TJ
158 0 TD
[(w)-14000(t)-0.1(hat)-13000.1(t)0.1(here)-13000(is)-13999.9(an)-14000.1(algorithm)-12000(t)-0.1(hat)-12999.9(p)-0.1(ro)-1999.9(duces)-11000(a)-14000(consisten)]TJ
1285.0002 0 TD
12.9998 Tc
(th)Tj
63.9998 0 TD
0 Tc
[(yp)-2000.2(othesis)]TJ
-1437 67.0002 TD
(on)Tj
/T9 1 Tf
77 0 TD
18 Tc
(mn)Tj
/T6 1 Tf
100 0 TD
0 Tc
[( dimensional)-18000(samples)-16000.1(in)-19000(time)-17000(p)-2000(o)0.1(lynomial)-16999.9(in)]TJ
/T9 1 Tf
1071.0001 0 TD
(m)Tj
/T6 1 Tf
67.9999 0 TD
(and)Tj
/T9 1 Tf
107.0002 0 TD
(n)Tj
/T6 1 Tf
33 0 TD
()Tj
-1529.0002 107.9998 TD
[(b)-27000(Sho)]TJ
161 0 TD
[(w)-21000(that)-19000(the)-19999.9(sample)-19000(s)-0.1(ize)]TJ
/T9 1 Tf
591 0 TD
(m)Tj
/T6 1 Tf
49.0001 0 TD
[()-20999.9(n)-0.1(eeded)-19000(to)-19999.9(ensure)-19000(P)]TJ
501 0 TD
(A)Tj
40 0 TD
[(C)-20999.9(learnabilit)]TJ
305.9999 0 TD
21 Tc
[(yi)20999.8(s)]TJ
-1575 67.0002 TD
0 Tc
[(p)-2000(olynomial)-18999.9(or)-19000(b)-2000(etter)-16999.9(i)-0.1(n)-19999.9()0( )]TJ
/T9 1 Tf
683 0 TD
0.0001 Tc
()Tj
/T6 1 Tf
54.0001 0 TD
0 Tc
[()-19000( )]TJ
/T9 1 Tf
105.9999 0 TD
()Tj
/T6 1 Tf
55.0001 0 TD
[()-19000(and)]TJ
/T9 1 Tf
164.9999 0 TD
(n)Tj
/T6 1 Tf
53.0001 0 TD
(b)Tj
29 0 TD
21 Tc
[(ys)21000.1(h)20999.9(o)]TJ
129 0 TD
19 Tc
[(w)19000(i)19000(n)18999.8(gt)19000.2(h)18999.8(a)19000.2(tl)18999.8(n)]TJ
/T7 1 Tf
310.0001 0 TD
0 Tc
[(jH)-999.8(j)]TJ
/T6 1 Tf
-1584.0002 65.9999 TD
[(is)-19000(p)-2000.1(o)0.1(lynomial)-17000(or)-17999.9(b)-2000(etter)-15000.1(in)-19000(the)-17000(n)]TJ
763 0 TD
0.0001 Tc
(um)Tj
76 0 TD
0 Tc
[(b)-2000(e)0(r)-17000.1(o)0.1(f)-18000.1(d)0.1(imensions)]TJ
-894.0001 131 TD
0.0001 Tc
[(As)-23999.8(hin)]TJ
163.0001 0 TD
0 Tc
[(ted)-23000(e)0(arlier)-25000(sometimes)-20999.9(enlarging)-22999.9(t)0(he)-22999.9(class)-24000(of)-22999.9(h)]TJ
1147 0 TD
[(yp)-2000(otheses)-22000(mak)]TJ
361 0 TD
(es)Tj
-1754 66 TD
[(learning)-22000(easier)]TJ
405.0001 0 TD
(F)Tj
31 0 TD
[(or)-23000(example)-23000(the)-21000(t)0.1(able)-22000(ab)-2000(o)]TJ
640 0 TD
(v)Tj
27.0001 0 TD
22 Tc
[(es)22000.1(h)21999.9(o)]TJ
126 0 TD
0 Tc
[(ws)-22000(that)]TJ
/T9 1 Tf
209 0 TD
(k)Tj
/T6 1 Tf
31.0001 0 TD
[( CNF)-21999.8(is)-23000.2(P)]TJ
251 0 TD
(A)Tj
39.9998 0 TD
(C)Tj
-1760 67 TD
[(learnable)-20999.9(but)]TJ
/T9 1 Tf
361.0001 0 TD
(k)Tj
/T6 1 Tf
31.0001 0 TD
[( term DNF)-19000.1(is)-22000(not)]TJ
479.0001 0 TD
-0.0001 Tc
[(And)-21000.2(y)]TJ
152 0 TD
0 Tc
(et)Tj
/T9 1 Tf
84 0 TD
(k)Tj
/T6 1 Tf
31 0 TD
0.0001 Tc
[( term DNF)-19999.9(is)-22000.1(a)-20999.7(s)0.1(ub)-1999.9(class)-18999.7(of)]TJ
/T9 1 Tf
-1138.0002 66 TD
0 Tc
(k)Tj
/T6 1 Tf
31 0 TD
[( CNF")-19000(So)-19000.1(ev)]TJ
315.0001 0 TD
[(en)-19000(if)-19000(the)-18000(target)-17000(function)-17000.1(w)]TJ
641.0001 0 TD
-0.0001 Tc
[(ere)-19000.2(i)0(n)]TJ
/T9 1 Tf
155.9999 0 TD
0 Tc
(k)Tj
/T6 1 Tf
31.0001 0 TD
[( term DNF)-18000(o)-0.2(ne)-18000.2(w)]TJ
445.0001 0 TD
-0.0001 Tc
[(ould)-19000.1(b)-2000.1(e)]TJ
-1619.0002 66 TD
0 Tc
[(able)-18000(to)-17000(nd)-17999.9(a)-17000(h)]TJ
369.0001 0 TD
[(yp)-2000(othesis)-16999.9(in)]TJ
/T9 1 Tf
308.0001 0 TD
(k)Tj
/T6 1 Tf
31 0 TD
[( CNF)-18000(that)-17000.1(is)-18000.1(probably)-17000(appro)]TJ
699 0 TD
[(ximately)-17000(c)0(orrect)]TJ
-1407.0002 67 TD
[(for)-15000(t)0.1(he)-15000.1(target)-13999.9(function)-22000(Similarly)]TJ
785.0002 0 TD
[()-17999.9(l)-0.1(inearly)-16000(s)-0.1(eparable)-13999.9(functions)-14000.2(implemen)]TJ
939.9999 0 TD
0.0001 Tc
(ted)Tj
-1725 66.0001 TD
0 Tc
(b)Tj
29 0 TD
[(y)-24000.1(TLUs)-22000(whose)-22000(w)]TJ
420.0001 0 TD
(eigh)Tj
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1 0 0 1 0 0 cm
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249.019 590.029 l
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247.09 588.437 l
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260.269 584.902 l
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311.081 540.372 l
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318.321 538.157 l
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272.105 579.342 l
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278.932 569.46 l
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282.123 559.157 l
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288.566 546.261 l
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291.956 544.087 l
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295.412 542.763 l
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298.911 541.637 l
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306.007 539.44 l
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309.601 538.33 l
306.007 539.44 l
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316.886 536.078 l
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315.428 533.966 l
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324.301 533.787 l
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319.142 532.805 l
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243.141 585.177 l
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237.843 584.416 l
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246.429 584.276 l
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Q
q
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0 G
1 J 1 j 0.238 w 10 M []0 d
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251.123 580.737 m
253.09 582.452 l
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0 G
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0 G
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315.428 533.966 l
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0 G
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319.142 532.805 l
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0 G
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322.892 531.637 l
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241.12 583.508 l
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0 G
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244.424 582.593 l
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0 G
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0 G
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251.123 580.737 l
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0 G
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257.941 578.848 l
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q
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0 G
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1 i
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261.396 577.892 l
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q
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0 G
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1 i
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264.883 576.921 l
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Q
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0 G
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1 i
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268.4 575.721 l
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Q
q
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1 i
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Q
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0 G
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1 i
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275.362 565.478 l
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Q
q
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0 G
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1 i
276.896 553.565 m
278.668 555.459 l
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Q
q
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0 G
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1 i
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Q
q
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0 G
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1 i
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285.272 542.538 l
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Q
q
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0 G
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1 i
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288.703 540.179 l
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Q
q
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0 G
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1 i
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Q
q
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1 i
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295.743 537.566 l
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Q
q
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0 G
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1 i
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299.318 536.429 l
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294.119 535.481 l
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Q
q
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0 G
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1 i
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302.925 535.289 l
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Q
q
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0 G
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1 i
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306.566 534.143 l
302.925 535.289 l
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b
Q
q
1 0 0 1 0 0 cm
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0 G
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1 i
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310.239 532.984 l
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b
Q
q
1 0 0 1 0 0 cm
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0 G
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1 i
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313.944 531.817 l
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Q
q
1 0 0 1 0 0 cm
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0 G
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1 i
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317.684 530.637 l
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b
Q
q
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0 G
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1 i
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321.457 529.448 l
317.684 530.637 l
316.2 528.433 l
b
Q
q
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0 G
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1 i
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239.064 581.813 l
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b
Q
q
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0 G
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1 i
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242.388 580.881 l
239.064 581.813 l
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Q
q
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0 G
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1 i
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245.74 579.943 l
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Q
q
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0 G
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1 i
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249.122 578.996 l
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b
Q
q
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0 G
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1 i
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252.536 578.039 l
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b
Q
q
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0 G
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1 i
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255.98 577.075 l
252.536 578.039 l
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Q
q
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0 G
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1 i
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259.455 576.103 l
255.98 577.075 l
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b
Q
q
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0 G
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1 i
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b
Q
q
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1 i
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266.5 573.856 l
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Q
q
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1 i
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270.051 570.726 l
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b
Q
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1 i
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273.535 563.433 l
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q
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1 i
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276.896 553.565 l
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q
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1 i
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280.212 545.418 l
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Q
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1 i
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283.584 540.648 l
280.212 545.418 l
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1 i
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287.039 538.189 l
283.584 540.648 l
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b
Q
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1 i
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290.558 536.695 l
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294.119 535.481 l
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b
Q
q
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1 i
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297.716 534.322 l
294.119 535.481 l
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b
Q
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301.347 533.165 l
297.716 534.322 l
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b
Q
q
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0 G
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1 i
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305.011 531.998 l
301.347 533.165 l
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b
Q
q
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0 G
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1 i
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308.706 530.82 l
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b
Q
q
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0 G
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1 i
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312.437 529.632 l
308.706 530.82 l
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b
Q
q
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1 i
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316.2 528.433 l
312.437 529.632 l
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b
Q
q
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320.001 527.224 l
316.2 528.433 l
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b
Q
q
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236.974 580.088 l
233.663 581.026 l
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b
Q
q
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1 i
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240.317 579.141 l
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b
Q
q
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243.688 578.188 l
240.317 579.141 l
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b
Q
q
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247.089 577.224 l
243.688 578.188 l
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b
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q
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1 i
248.473 574.435 m
250.522 576.253 l
247.089 577.224 l
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b
Q
q
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1 i
251.956 573.438 m
253.985 575.271 l
250.522 576.253 l
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b
Q
q
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0 G
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1 i
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257.481 574.283 l
253.985 575.271 l
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b
Q
q
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261.008 573.273 l
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255.473 572.432 l
b
Q
q
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0 G
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1 i
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264.569 571.951 l
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b
Q
q
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268.148 568.672 l
264.569 571.951 l
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b
Q
q
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0 G
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1 i
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271.676 561.347 l
268.148 568.672 l
266.215 566.568 l
b
Q
q
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0 G
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1 i
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275.096 551.641 l
271.676 561.347 l
269.787 559.222 l
b
Q
q
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0 G
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1 i
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278.462 543.577 l
275.096 551.641 l
273.264 549.686 l
b
Q
q
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0 G
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1 i
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281.868 538.736 l
278.462 543.577 l
276.681 541.715 l
b
Q
q
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0 G
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1 i
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285.345 536.175 l
281.868 538.736 l
280.121 536.806 l
b
Q
q
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0 G
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1 i
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288.885 534.613 l
285.345 536.175 l
283.625 534.137 l
b
Q
q
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0 G
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290.79 531.212 m
292.469 533.364 l
288.885 534.613 l
287.185 532.503 l
b
Q
q
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294.432 530.004 m
296.088 532.18 l
292.469 533.364 l
290.79 531.212 l
b
Q
q
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0 G
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299.741 531.002 l
296.088 532.18 l
294.432 530.004 l
b
Q
q
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0.119 g
0 G
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1 i
301.82 527.597 m
303.429 529.816 l
299.741 531.002 l
298.109 528.804 l
b
Q
q
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0 G
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307.148 528.619 l
303.429 529.816 l
301.82 527.597 l
b
Q
q
1 0 0 1 0 0 cm
0.119 g
0 G
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1 i
309.344 525.149 m
310.904 527.411 l
307.148 528.619 l
305.565 526.38 l
b
Q
q
1 0 0 1 0 0 cm
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0 G
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1 i
313.159 523.91 m
314.693 526.191 l
310.904 527.411 l
309.344 525.149 l
b
Q
q
1 0 0 1 0 0 cm
0.119 g
0 G
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1 i
317.01 522.659 m
318.517 524.959 l
314.693 526.191 l
313.159 523.91 l
b
Q
q
1 0 0 1 0 0 cm
0.881 g
0 G
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1 i
232.693 576.552 m
234.851 578.335 l
231.523 579.289 l
229.345 577.521 l
b
Q
q
1 0 0 1 0 0 cm
0.881 g
0 G
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1 i
236.07 575.576 m
238.211 577.373 l
234.851 578.335 l
232.693 576.552 l
b
Q
q
1 0 0 1 0 0 cm
0.881 g
0 G
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239.479 574.588 m
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253.43 570.55 l
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278.346 534.859 l
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289.085 529.027 l
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296.449 526.568 l
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300.185 525.339 l
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Q
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Q
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Q
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315.474 520.315 l
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233.893 573.747 l
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237.321 572.743 l
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1 i
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287.35 526.809 l
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291.037 525.541 l
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294.761 524.294 l
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298.519 523.045 l
294.761 524.294 l
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302.314 521.785 l
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306.144 520.513 l
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Q
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310.009 519.229 l
306.144 520.513 l
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235.125 570.865 l
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245.661 567.746 l
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249.239 566.685 l
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256.51 563.884 l
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260.22 559.944 l
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b
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260.22 559.944 l
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267.576 543.629 l
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271.147 535.991 l
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274.702 530.916 l
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278.285 527.903 l
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281.912 526.004 l
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285.584 524.557 l
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280.095 523.788 l
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289.296 523.254 l
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283.79 522.274 l
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293.043 521.983 l
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q
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296.826 520.71 l
293.043 521.983 l
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300.645 519.427 l
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295.103 518.333 l
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q
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304.501 518.132 l
300.645 519.427 l
298.948 517.028 l
b
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q
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308.394 516.826 l
304.501 518.132 l
302.83 515.711 l
b
Q
q
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0 G
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1 i
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312.324 515.507 l
308.394 516.826 l
306.749 514.381 l
b
Q
q
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225.992 571.023 l
222.591 572.043 l
220.262 570.152 l
b
Q
q
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0 G
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229.426 569.994 l
225.992 571.023 l
223.682 569.115 l
b
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q
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230.62 567.013 m
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256.056 555.232 l
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297.22 514.587 l
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301.128 513.246 l
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309.059 510.524 l
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255.655 543.108 l
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274.447 517.035 l
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278.213 515.258 l
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285.864 512.337 l
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285.864 512.337 l
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293.672 509.572 l
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297.634 508.18 l
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301.633 506.776 l
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305.674 505.359 l
301.633 506.776 l
299.866 504.147 l
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216.504 563.192 l
213.027 564.284 l
210.53 562.259 l
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220.015 562.088 l
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214.026 561.146 l
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245.64 552.449 l
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255.251 530.604 l
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302.164 499.999 l
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258.69 514.929 l
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282.145 500.561 l
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286.175 499.02 l
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298.519 494.44 l
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206.318 554.784 l
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200.08 553.78 l
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203.653 552.585 l
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213.532 552.4 l
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207.262 551.375 l
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q
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222.073 546.417 m
224.632 548.731 l
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207.262 551.375 l
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254.257 511.184 l
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Q
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266.108 501.426 l
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Q
q
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270.083 499.155 l
266.108 501.426 l
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q
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274.089 497.154 l
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Q
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Q
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290.518 490.317 l
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215.682 545.341 l
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219.464 544.058 l
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1 i
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Q
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0 G
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1 i
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q
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1 i
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251.959 509.474 l
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q
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255.959 505.663 l
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267.956 497.106 l
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280.188 491.035 l
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0 G
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220.775 539.056 l
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224.857 535.419 l
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229.005 530.984 l
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233.173 526.13 l
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245.536 512.015 l
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278.13 488.855 l
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286.548 484.982 l
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q
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247.7 593.189 l
332.62 570.957 m
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332.62 570.957 m
290.73 513.407 l
196.827 514.774 m
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197.516 515.418 l
S
Q
BT
7.207 0 0 7.2074 191.8104 509.0797 Tm
(0)Tj
ET
q
1 0 0 1 0 0 cm
0 G
1 J 1 j 0.317 w 10 M []0 d
1 i
217.104 505.9 m
218.414 507.256 l
S
Q
BT
7.207 0 0 7.2074 212.8271 500.66 Tm
(1)Tj
ET
q
1 0 0 1 0 0 cm
0 G
1 J 1 j 0.317 w 10 M []0 d
1 i
239.354 497.166 m
240.586 498.595 l
S
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262.542 479.34 m
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262.542 479.34 m
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294.162 490.86 m
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245.922 485.7 m
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208.171 553.38 m
208.171 554.123 207.566 554.726 206.82 554.726 c
206.074 554.726 205.469 554.123 205.469 553.38 c
205.469 552.637 206.074 552.034 206.82 552.034 c
207.566 552.034 208.171 552.637 208.171 553.38 c
f
208.171 553.38 m
208.171 554.123 207.566 554.726 206.82 554.726 c
206.074 554.726 205.469 554.123 205.469 553.38 c
205.469 552.637 206.074 552.034 206.82 552.034 c
207.566 552.034 208.171 552.637 208.171 553.38 c
S
189.271 552.48 m
189.271 553.223 188.666 553.826 187.92 553.826 c
187.174 553.826 186.569 553.223 186.569 552.48 c
186.569 551.737 187.174 551.134 187.92 551.134 c
188.666 551.134 189.271 551.737 189.271 552.48 c
f
189.271 552.48 m
189.271 553.223 188.666 553.826 187.92 553.826 c
187.174 553.826 186.569 553.223 186.569 552.48 c
186.569 551.737 187.174 551.134 187.92 551.134 c
188.666 551.134 189.271 551.737 189.271 552.48 c
S
205.471 539.94 m
205.471 540.683 204.866 541.286 204.12 541.286 c
203.374 541.286 202.769 540.683 202.769 539.94 c
202.769 539.197 203.374 538.594 204.12 538.594 c
204.866 538.594 205.471 539.197 205.471 539.94 c
f
205.471 539.94 m
205.471 540.683 204.866 541.286 204.12 541.286 c
203.374 541.286 202.769 540.683 202.769 539.94 c
202.769 539.197 203.374 538.594 204.12 538.594 c
204.866 538.594 205.471 539.197 205.471 539.94 c
S
217.651 537.66 m
217.651 538.403 217.046 539.006 216.3 539.006 c
215.554 539.006 214.949 538.403 214.949 537.66 c
214.949 536.917 215.554 536.314 216.3 536.314 c
217.046 536.314 217.651 536.917 217.651 537.66 c
f
217.651 537.66 m
217.651 538.403 217.046 539.006 216.3 539.006 c
215.554 539.006 214.949 538.403 214.949 537.66 c
214.949 536.917 215.554 536.314 216.3 536.314 c
217.046 536.314 217.651 536.917 217.651 537.66 c
S
195.571 526.02 m
195.571 526.763 194.966 527.366 194.22 527.366 c
193.474 527.366 192.869 526.763 192.869 526.02 c
192.869 525.277 193.474 524.674 194.22 524.674 c
194.966 524.674 195.571 525.277 195.571 526.02 c
f
195.571 526.02 m
195.571 526.763 194.966 527.366 194.22 527.366 c
193.474 527.366 192.869 526.763 192.869 526.02 c
192.869 525.277 193.474 524.674 194.22 524.674 c
194.966 524.674 195.571 525.277 195.571 526.02 c
S
191.071 540.84 m
191.071 541.583 190.466 542.186 189.72 542.186 c
188.974 542.186 188.369 541.583 188.369 540.84 c
188.369 540.097 188.974 539.494 189.72 539.494 c
190.466 539.494 191.071 540.097 191.071 540.84 c
f
191.071 540.84 m
191.071 541.583 190.466 542.186 189.72 542.186 c
188.974 542.186 188.369 541.583 188.369 540.84 c
188.369 540.097 188.974 539.494 189.72 539.494 c
190.466 539.494 191.071 540.097 191.071 540.84 c
S
200.071 546.66 m
200.071 547.403 199.466 548.006 198.72 548.006 c
197.974 548.006 197.369 547.403 197.369 546.66 c
197.369 545.917 197.974 545.314 198.72 545.314 c
199.466 545.314 200.071 545.917 200.071 546.66 c
f
200.071 546.66 m
200.071 547.403 199.466 548.006 198.72 548.006 c
197.974 548.006 197.369 547.403 197.369 546.66 c
197.369 545.917 197.974 545.314 198.72 545.314 c
199.466 545.314 200.071 545.917 200.071 546.66 c
S
206.791 524.22 m
206.791 524.963 206.186 525.566 205.44 525.566 c
204.694 525.566 204.089 524.963 204.089 524.22 c
204.089 523.477 204.694 522.874 205.44 522.874 c
206.186 522.874 206.791 523.477 206.791 524.22 c
f
206.791 524.22 m
206.791 524.963 206.186 525.566 205.44 525.566 c
204.694 525.566 204.089 524.963 204.089 524.22 c
204.089 523.477 204.694 522.874 205.44 522.874 c
206.186 522.874 206.791 523.477 206.791 524.22 c
S
221.671 524.64 m
221.671 525.383 221.066 525.986 220.32 525.986 c
219.574 525.986 218.969 525.383 218.969 524.64 c
218.969 523.897 219.574 523.294 220.32 523.294 c
221.066 523.294 221.671 523.897 221.671 524.64 c
f
221.671 524.64 m
221.671 525.383 221.066 525.986 220.32 525.986 c
219.574 525.986 218.969 525.383 218.969 524.64 c
218.969 523.897 219.574 523.294 220.32 523.294 c
221.066 523.294 221.671 523.897 221.671 524.64 c
S
203.671 504.06 m
203.671 504.803 203.066 505.406 202.32 505.406 c
201.574 505.406 200.969 504.803 200.969 504.06 c
200.969 503.317 201.574 502.714 202.32 502.714 c
203.066 502.714 203.671 503.317 203.671 504.06 c
f
203.671 504.06 m
203.671 504.803 203.066 505.406 202.32 505.406 c
201.574 505.406 200.969 504.803 200.969 504.06 c
200.969 503.317 201.574 502.714 202.32 502.714 c
203.066 502.714 203.671 503.317 203.671 504.06 c
S
207.271 493.74 m
207.271 494.483 206.666 495.086 205.92 495.086 c
205.174 495.086 204.569 494.483 204.569 493.74 c
204.569 492.997 205.174 492.394 205.92 492.394 c
206.666 492.394 207.271 492.997 207.271 493.74 c
f
207.271 493.74 m
207.271 494.483 206.666 495.086 205.92 495.086 c
205.174 495.086 204.569 494.483 204.569 493.74 c
204.569 492.997 205.174 492.394 205.92 492.394 c
206.666 492.394 207.271 492.997 207.271 493.74 c
S
193.771 495.54 m
193.771 496.283 193.166 496.886 192.42 496.886 c
191.674 496.886 191.069 496.283 191.069 495.54 c
191.069 494.797 191.674 494.194 192.42 494.194 c
193.166 494.194 193.771 494.797 193.771 495.54 c
f
193.771 495.54 m
193.771 496.283 193.166 496.886 192.42 496.886 c
191.674 496.886 191.069 496.283 191.069 495.54 c
191.069 494.797 191.674 494.194 192.42 494.194 c
193.166 494.194 193.771 494.797 193.771 495.54 c
S
209.971 483.84 m
209.971 484.583 209.366 485.186 208.62 485.186 c
207.874 485.186 207.269 484.583 207.269 483.84 c
207.269 483.097 207.874 482.494 208.62 482.494 c
209.366 482.494 209.971 483.097 209.971 483.84 c
f
209.971 483.84 m
209.971 484.583 209.366 485.186 208.62 485.186 c
207.874 485.186 207.269 484.583 207.269 483.84 c
207.269 483.097 207.874 482.494 208.62 482.494 c
209.366 482.494 209.971 483.097 209.971 483.84 c
S
218.071 476.22 m
218.071 476.963 217.466 477.566 216.72 477.566 c
215.974 477.566 215.369 476.963 215.369 476.22 c
215.369 475.477 215.974 474.874 216.72 474.874 c
217.466 474.874 218.071 475.477 218.071 476.22 c
f
218.071 476.22 m
218.071 476.963 217.466 477.566 216.72 477.566 c
215.974 477.566 215.369 476.963 215.369 476.22 c
215.369 475.477 215.974 474.874 216.72 474.874 c
217.466 474.874 218.071 475.477 218.071 476.22 c
S
204.091 471.72 m
204.091 472.463 203.486 473.066 202.74 473.066 c
201.994 473.066 201.389 472.463 201.389 471.72 c
201.389 470.977 201.994 470.374 202.74 470.374 c
203.486 470.374 204.091 470.977 204.091 471.72 c
f
204.091 471.72 m
204.091 472.463 203.486 473.066 202.74 473.066 c
201.994 473.066 201.389 472.463 201.389 471.72 c
201.389 470.977 201.994 470.374 202.74 470.374 c
203.486 470.374 204.091 470.977 204.091 471.72 c
S
195.571 480.24 m
195.571 480.983 194.966 481.586 194.22 481.586 c
193.474 481.586 192.869 480.983 192.869 480.24 c
192.869 479.497 193.474 478.894 194.22 478.894 c
194.966 478.894 195.571 479.497 195.571 480.24 c
f
195.571 480.24 m
195.571 480.983 194.966 481.586 194.22 481.586 c
193.474 481.586 192.869 480.983 192.869 480.24 c
192.869 479.497 193.474 478.894 194.22 478.894 c
194.966 478.894 195.571 479.497 195.571 480.24 c
S
220.351 492.84 m
220.351 493.583 219.746 494.186 219 494.186 c
218.254 494.186 217.649 493.583 217.649 492.84 c
217.649 492.097 218.254 491.494 219 491.494 c
219.746 491.494 220.351 492.097 220.351 492.84 c
f
220.351 492.84 m
220.351 493.583 219.746 494.186 219 494.186 c
218.254 494.186 217.649 493.583 217.649 492.84 c
217.649 492.097 218.254 491.494 219 491.494 c
219.746 491.494 220.351 492.097 220.351 492.84 c
S
182.491 488.76 m
182.491 489.503 181.886 490.106 181.14 490.106 c
180.394 490.106 179.789 489.503 179.789 488.76 c
179.789 488.017 180.394 487.414 181.14 487.414 c
181.886 487.414 182.491 488.017 182.491 488.76 c
f
182.491 488.76 m
182.491 489.503 181.886 490.106 181.14 490.106 c
180.394 490.106 179.789 489.503 179.789 488.76 c
179.789 488.017 180.394 487.414 181.14 487.414 c
181.886 487.414 182.491 488.017 182.491 488.76 c
S
226.171 467.7 m
226.171 468.443 225.566 469.046 224.82 469.046 c
224.074 469.046 223.469 468.443 223.469 467.7 c
223.469 466.957 224.074 466.354 224.82 466.354 c
225.566 466.354 226.171 466.957 226.171 467.7 c
f
226.171 467.7 m
226.171 468.443 225.566 469.046 224.82 469.046 c
224.074 469.046 223.469 468.443 223.469 467.7 c
223.469 466.957 224.074 466.354 224.82 466.354 c
225.566 466.354 226.171 466.957 226.171 467.7 c
S
286.531 559.68 m
286.531 560.423 285.926 561.026 285.18 561.026 c
284.434 561.026 283.829 560.423 283.829 559.68 c
283.829 558.937 284.434 558.334 285.18 558.334 c
285.926 558.334 286.531 558.937 286.531 559.68 c
f
286.531 559.68 m
286.531 560.423 285.926 561.026 285.18 561.026 c
284.434 561.026 283.829 560.423 283.829 559.68 c
283.829 558.937 284.434 558.334 285.18 558.334 c
285.926 558.334 286.531 558.937 286.531 559.68 c
S
290.131 549.36 m
290.131 550.103 289.526 550.706 288.78 550.706 c
288.034 550.706 287.429 550.103 287.429 549.36 c
287.429 548.617 288.034 548.014 288.78 548.014 c
289.526 548.014 290.131 548.617 290.131 549.36 c
f
290.131 549.36 m
290.131 550.103 289.526 550.706 288.78 550.706 c
288.034 550.706 287.429 550.103 287.429 549.36 c
287.429 548.617 288.034 548.014 288.78 548.014 c
289.526 548.014 290.131 548.617 290.131 549.36 c
S
276.631 551.16 m
276.631 551.903 276.026 552.506 275.28 552.506 c
274.534 552.506 273.929 551.903 273.929 551.16 c
273.929 550.417 274.534 549.814 275.28 549.814 c
276.026 549.814 276.631 550.417 276.631 551.16 c
f
276.631 551.16 m
276.631 551.903 276.026 552.506 275.28 552.506 c
274.534 552.506 273.929 551.903 273.929 551.16 c
273.929 550.417 274.534 549.814 275.28 549.814 c
276.026 549.814 276.631 550.417 276.631 551.16 c
S
283.351 544.44 m
283.351 545.183 282.746 545.786 282 545.786 c
281.254 545.786 280.649 545.183 280.649 544.44 c
280.649 543.697 281.254 543.094 282 543.094 c
282.746 543.094 283.351 543.697 283.351 544.44 c
f
283.351 544.44 m
283.351 545.183 282.746 545.786 282 545.786 c
281.254 545.786 280.649 545.183 280.649 544.44 c
280.649 543.697 281.254 543.094 282 543.094 c
282.746 543.094 283.351 543.697 283.351 544.44 c
S
298.651 536.34 m
298.651 537.083 298.046 537.686 297.3 537.686 c
296.554 537.686 295.949 537.083 295.949 536.34 c
295.949 535.597 296.554 534.994 297.3 534.994 c
298.046 534.994 298.651 535.597 298.651 536.34 c
f
298.651 536.34 m
298.651 537.083 298.046 537.686 297.3 537.686 c
296.554 537.686 295.949 537.083 295.949 536.34 c
295.949 535.597 296.554 534.994 297.3 534.994 c
298.046 534.994 298.651 535.597 298.651 536.34 c
S
286.951 527.34 m
286.951 528.083 286.346 528.686 285.6 528.686 c
284.854 528.686 284.249 528.083 284.249 527.34 c
284.249 526.597 284.854 525.994 285.6 525.994 c
286.346 525.994 286.951 526.597 286.951 527.34 c
f
286.951 527.34 m
286.951 528.083 286.346 528.686 285.6 528.686 c
284.854 528.686 284.249 528.083 284.249 527.34 c
284.249 526.597 284.854 525.994 285.6 525.994 c
286.346 525.994 286.951 526.597 286.951 527.34 c
S
278.431 535.92 m
278.431 536.663 277.826 537.266 277.08 537.266 c
276.334 537.266 275.729 536.663 275.729 535.92 c
275.729 535.177 276.334 534.574 277.08 534.574 c
277.826 534.574 278.431 535.177 278.431 535.92 c
f
278.431 535.92 m
278.431 536.663 277.826 537.266 277.08 537.266 c
276.334 537.266 275.729 536.663 275.729 535.92 c
275.729 535.177 276.334 534.574 277.08 534.574 c
277.826 534.574 278.431 535.177 278.431 535.92 c
S
303.151 548.46 m
303.151 549.203 302.546 549.806 301.8 549.806 c
301.054 549.806 300.449 549.203 300.449 548.46 c
300.449 547.717 301.054 547.114 301.8 547.114 c
302.546 547.114 303.151 547.717 303.151 548.46 c
f
303.151 548.46 m
303.151 549.203 302.546 549.806 301.8 549.806 c
301.054 549.806 300.449 549.203 300.449 548.46 c
300.449 547.717 301.054 547.114 301.8 547.114 c
302.546 547.114 303.151 547.717 303.151 548.46 c
S
265.351 544.44 m
265.351 545.183 264.746 545.786 264 545.786 c
263.254 545.786 262.649 545.183 262.649 544.44 c
262.649 543.697 263.254 543.094 264 543.094 c
264.746 543.094 265.351 543.697 265.351 544.44 c
f
265.351 544.44 m
265.351 545.183 264.746 545.786 264 545.786 c
263.254 545.786 262.649 545.183 262.649 544.44 c
262.649 543.697 263.254 543.094 264 543.094 c
264.746 543.094 265.351 543.697 265.351 544.44 c
S
305.851 514.38 m
305.851 515.123 305.246 515.726 304.5 515.726 c
303.754 515.726 303.149 515.123 303.149 514.38 c
303.149 513.637 303.754 513.034 304.5 513.034 c
305.246 513.034 305.851 513.637 305.851 514.38 c
f
305.851 514.38 m
305.851 515.123 305.246 515.726 304.5 515.726 c
303.754 515.726 303.149 515.123 303.149 514.38 c
303.149 513.637 303.754 513.034 304.5 513.034 c
305.246 513.034 305.851 513.637 305.851 514.38 c
S
348.211 557.88 m
348.211 558.623 347.606 559.226 346.86 559.226 c
346.114 559.226 345.509 558.623 345.509 557.88 c
345.509 557.137 346.114 556.534 346.86 556.534 c
347.606 556.534 348.211 557.137 348.211 557.88 c
f
348.211 557.88 m
348.211 558.623 347.606 559.226 346.86 559.226 c
346.114 559.226 345.509 558.623 345.509 557.88 c
345.509 557.137 346.114 556.534 346.86 556.534 c
347.606 556.534 348.211 557.137 348.211 557.88 c
S
356.311 551.16 m
356.311 551.903 355.706 552.506 354.96 552.506 c
354.214 552.506 353.609 551.903 353.609 551.16 c
353.609 550.417 354.214 549.814 354.96 549.814 c
355.706 549.814 356.311 550.417 356.311 551.16 c
f
356.311 551.16 m
356.311 551.903 355.706 552.506 354.96 552.506 c
354.214 552.506 353.609 551.903 353.609 551.16 c
353.609 550.417 354.214 549.814 354.96 549.814 c
355.706 549.814 356.311 550.417 356.311 551.16 c
S
334.711 555.18 m
334.711 555.923 334.106 556.526 333.36 556.526 c
332.614 556.526 332.009 555.923 332.009 555.18 c
332.009 554.437 332.614 553.834 333.36 553.834 c
334.106 553.834 334.711 554.437 334.711 555.18 c
f
334.711 555.18 m
334.711 555.923 334.106 556.526 333.36 556.526 c
332.614 556.526 332.009 555.923 332.009 555.18 c
332.009 554.437 332.614 553.834 333.36 553.834 c
334.106 553.834 334.711 554.437 334.711 555.18 c
S
344.131 542.16 m
344.131 542.903 343.526 543.506 342.78 543.506 c
342.034 543.506 341.429 542.903 341.429 542.16 c
341.429 541.417 342.034 540.814 342.78 540.814 c
343.526 540.814 344.131 541.417 344.131 542.16 c
f
344.131 542.16 m
344.131 542.903 343.526 543.506 342.78 543.506 c
342.034 543.506 341.429 542.903 341.429 542.16 c
341.429 541.417 342.034 540.814 342.78 540.814 c
343.526 540.814 344.131 541.417 344.131 542.16 c
S
356.311 536.34 m
356.311 537.083 355.706 537.686 354.96 537.686 c
354.214 537.686 353.609 537.083 353.609 536.34 c
353.609 535.597 354.214 534.994 354.96 534.994 c
355.706 534.994 356.311 535.597 356.311 536.34 c
f
356.311 536.34 m
356.311 537.083 355.706 537.686 354.96 537.686 c
354.214 537.686 353.609 537.083 353.609 536.34 c
353.609 535.597 354.214 534.994 354.96 534.994 c
355.706 534.994 356.311 535.597 356.311 536.34 c
S
348.631 525.6 m
348.631 526.343 348.026 526.946 347.28 526.946 c
346.534 526.946 345.929 526.343 345.929 525.6 c
345.929 524.857 346.534 524.254 347.28 524.254 c
348.026 524.254 348.631 524.857 348.631 525.6 c
f
348.631 525.6 m
348.631 526.343 348.026 526.946 347.28 526.946 c
346.534 526.946 345.929 526.343 345.929 525.6 c
345.929 524.857 346.534 524.254 347.28 524.254 c
348.026 524.254 348.631 524.857 348.631 525.6 c
S
340.111 534.12 m
340.111 534.863 339.506 535.466 338.76 535.466 c
338.014 535.466 337.409 534.863 337.409 534.12 c
337.409 533.377 338.014 532.774 338.76 532.774 c
339.506 532.774 340.111 533.377 340.111 534.12 c
f
340.111 534.12 m
340.111 534.863 339.506 535.466 338.76 535.466 c
338.014 535.466 337.409 534.863 337.409 534.12 c
337.409 533.377 338.014 532.774 338.76 532.774 c
339.506 532.774 340.111 533.377 340.111 534.12 c
S
364.891 546.66 m
364.891 547.403 364.286 548.006 363.54 548.006 c
362.794 548.006 362.189 547.403 362.189 546.66 c
362.189 545.917 362.794 545.314 363.54 545.314 c
364.286 545.314 364.891 545.917 364.891 546.66 c
f
364.891 546.66 m
364.891 547.403 364.286 548.006 363.54 548.006 c
362.794 548.006 362.189 547.403 362.189 546.66 c
362.189 545.917 362.794 545.314 363.54 545.314 c
364.286 545.314 364.891 545.917 364.891 546.66 c
S
327.031 542.64 m
327.031 543.383 326.426 543.986 325.68 543.986 c
324.934 543.986 324.329 543.383 324.329 542.64 c
324.329 541.897 324.934 541.294 325.68 541.294 c
326.426 541.294 327.031 541.897 327.031 542.64 c
f
327.031 542.64 m
327.031 543.383 326.426 543.986 325.68 543.986 c
324.934 543.986 324.329 543.383 324.329 542.64 c
324.329 541.897 324.934 541.294 325.68 541.294 c
326.426 541.294 327.031 541.897 327.031 542.64 c
S
323.911 517.08 m
323.911 517.823 323.306 518.426 322.56 518.426 c
321.814 518.426 321.209 517.823 321.209 517.08 c
321.209 516.337 321.814 515.734 322.56 515.734 c
323.306 515.734 323.911 516.337 323.911 517.08 c
f
323.911 517.08 m
323.911 517.823 323.306 518.426 322.56 518.426 c
321.814 518.426 321.209 517.823 321.209 517.08 c
321.209 516.337 321.814 515.734 322.56 515.734 c
323.306 515.734 323.911 516.337 323.911 517.08 c
S
327.511 506.76 m
327.511 507.503 326.906 508.106 326.16 508.106 c
325.414 508.106 324.809 507.503 324.809 506.76 c
324.809 506.017 325.414 505.414 326.16 505.414 c
326.906 505.414 327.511 506.017 327.511 506.76 c
f
327.511 506.76 m
327.511 507.503 326.906 508.106 326.16 508.106 c
325.414 508.106 324.809 507.503 324.809 506.76 c
324.809 506.017 325.414 505.414 326.16 505.414 c
326.906 505.414 327.511 506.017 327.511 506.76 c
S
314.011 508.5 m
314.011 509.243 313.406 509.846 312.66 509.846 c
311.914 509.846 311.309 509.243 311.309 508.5 c
311.309 507.757 311.914 507.154 312.66 507.154 c
313.406 507.154 314.011 507.757 314.011 508.5 c
f
314.011 508.5 m
314.011 509.243 313.406 509.846 312.66 509.846 c
311.914 509.846 311.309 509.243 311.309 508.5 c
311.309 507.757 311.914 507.154 312.66 507.154 c
313.406 507.154 314.011 507.757 314.011 508.5 c
S
333.811 512.58 m
333.811 513.323 333.206 513.926 332.46 513.926 c
331.714 513.926 331.109 513.323 331.109 512.58 c
331.109 511.837 331.714 511.234 332.46 511.234 c
333.206 511.234 333.811 511.837 333.811 512.58 c
f
333.811 512.58 m
333.811 513.323 333.206 513.926 332.46 513.926 c
331.714 513.926 331.109 513.323 331.109 512.58 c
331.109 511.837 331.714 511.234 332.46 511.234 c
333.206 511.234 333.811 511.837 333.811 512.58 c
S
304.951 491.04 m
304.951 491.783 304.346 492.386 303.6 492.386 c
302.854 492.386 302.249 491.783 302.249 491.04 c
302.249 490.297 302.854 489.694 303.6 489.694 c
304.346 489.694 304.951 490.297 304.951 491.04 c
f
304.951 491.04 m
304.951 491.783 304.346 492.386 303.6 492.386 c
302.854 492.386 302.249 491.783 302.249 491.04 c
302.249 490.297 302.854 489.694 303.6 489.694 c
304.346 489.694 304.951 490.297 304.951 491.04 c
S
324.331 484.74 m
324.331 485.483 323.726 486.086 322.98 486.086 c
322.234 486.086 321.629 485.483 321.629 484.74 c
321.629 483.997 322.234 483.394 322.98 483.394 c
323.726 483.394 324.331 483.997 324.331 484.74 c
f
324.331 484.74 m
324.331 485.483 323.726 486.086 322.98 486.086 c
322.234 486.086 321.629 485.483 321.629 484.74 c
321.629 483.997 322.234 483.394 322.98 483.394 c
323.726 483.394 324.331 483.997 324.331 484.74 c
S
315.811 493.26 m
315.811 494.003 315.206 494.606 314.46 494.606 c
313.714 494.606 313.109 494.003 313.109 493.26 c
313.109 492.517 313.714 491.914 314.46 491.914 c
315.206 491.914 315.811 492.517 315.811 493.26 c
f
315.811 493.26 m
315.811 494.003 315.206 494.606 314.46 494.606 c
313.714 494.606 313.109 494.003 313.109 493.26 c
313.109 492.517 313.714 491.914 314.46 491.914 c
315.206 491.914 315.811 492.517 315.811 493.26 c
S
340.531 505.8 m
340.531 506.543 339.926 507.146 339.18 507.146 c
338.434 507.146 337.829 506.543 337.829 505.8 c
337.829 505.057 338.434 504.454 339.18 504.454 c
339.926 504.454 340.531 505.057 340.531 505.8 c
f
340.531 505.8 m
340.531 506.543 339.926 507.146 339.18 507.146 c
338.434 507.146 337.829 506.543 337.829 505.8 c
337.829 505.057 338.434 504.454 339.18 504.454 c
339.926 504.454 340.531 505.057 340.531 505.8 c
S
302.731 501.78 m
302.731 502.523 302.126 503.126 301.38 503.126 c
300.634 503.126 300.029 502.523 300.029 501.78 c
300.029 501.037 300.634 500.434 301.38 500.434 c
302.126 500.434 302.731 501.037 302.731 501.78 c
f
302.731 501.78 m
302.731 502.523 302.126 503.126 301.38 503.126 c
300.634 503.126 300.029 502.523 300.029 501.78 c
300.029 501.037 300.634 500.434 301.38 500.434 c
302.126 500.434 302.731 501.037 302.731 501.78 c
S
332.431 491.94 m
332.431 492.683 331.826 493.286 331.08 493.286 c
330.334 493.286 329.729 492.683 329.729 491.94 c
329.729 491.197 330.334 490.594 331.08 490.594 c
331.826 490.594 332.431 491.197 332.431 491.94 c
f
332.431 491.94 m
332.431 492.683 331.826 493.286 331.08 493.286 c
330.334 493.286 329.729 492.683 329.729 491.94 c
329.729 491.197 330.334 490.594 331.08 490.594 c
331.826 490.594 332.431 491.197 332.431 491.94 c
S
232.051 421.5 m
232.051 422.243 231.446 422.846 230.7 422.846 c
229.954 422.846 229.349 422.243 229.349 421.5 c
229.349 420.757 229.954 420.154 230.7 420.154 c
231.446 420.154 232.051 420.757 232.051 421.5 c
f
232.051 421.5 m
232.051 422.243 231.446 422.846 230.7 422.846 c
229.954 422.846 229.349 422.243 229.349 421.5 c
229.349 420.757 229.954 420.154 230.7 420.154 c
231.446 420.154 232.051 420.757 232.051 421.5 c
S
235.651 411.18 m
235.651 411.923 235.046 412.526 234.3 412.526 c
233.554 412.526 232.949 411.923 232.949 411.18 c
232.949 410.437 233.554 409.834 234.3 409.834 c
235.046 409.834 235.651 410.437 235.651 411.18 c
f
235.651 411.18 m
235.651 411.923 235.046 412.526 234.3 412.526 c
233.554 412.526 232.949 411.923 232.949 411.18 c
232.949 410.437 233.554 409.834 234.3 409.834 c
235.046 409.834 235.651 410.437 235.651 411.18 c
S
222.151 412.98 m
222.151 413.723 221.546 414.326 220.8 414.326 c
220.054 414.326 219.449 413.723 219.449 412.98 c
219.449 412.237 220.054 411.634 220.8 411.634 c
221.546 411.634 222.151 412.237 222.151 412.98 c
f
222.151 412.98 m
222.151 413.723 221.546 414.326 220.8 414.326 c
220.054 414.326 219.449 413.723 219.449 412.98 c
219.449 412.237 220.054 411.634 220.8 411.634 c
221.546 411.634 222.151 412.237 222.151 412.98 c
S
238.351 401.34 m
238.351 402.083 237.746 402.686 237 402.686 c
236.254 402.686 235.649 402.083 235.649 401.34 c
235.649 400.597 236.254 399.994 237 399.994 c
237.746 399.994 238.351 400.597 238.351 401.34 c
f
238.351 401.34 m
238.351 402.083 237.746 402.686 237 402.686 c
236.254 402.686 235.649 402.083 235.649 401.34 c
235.649 400.597 236.254 399.994 237 399.994 c
237.746 399.994 238.351 400.597 238.351 401.34 c
S
212.191 388.32 m
212.191 389.063 211.586 389.666 210.84 389.666 c
210.094 389.666 209.489 389.063 209.489 388.32 c
209.489 387.577 210.094 386.974 210.84 386.974 c
211.586 386.974 212.191 387.577 212.191 388.32 c
f
212.191 388.32 m
212.191 389.063 211.586 389.666 210.84 389.666 c
210.094 389.666 209.489 389.063 209.489 388.32 c
209.489 387.577 210.094 386.974 210.84 386.974 c
211.586 386.974 212.191 387.577 212.191 388.32 c
S
232.471 389.22 m
232.471 389.963 231.866 390.566 231.12 390.566 c
230.374 390.566 229.769 389.963 229.769 389.22 c
229.769 388.477 230.374 387.874 231.12 387.874 c
231.866 387.874 232.471 388.477 232.471 389.22 c
f
232.471 389.22 m
232.471 389.963 231.866 390.566 231.12 390.566 c
230.374 390.566 229.769 389.963 229.769 389.22 c
229.769 388.477 230.374 387.874 231.12 387.874 c
231.866 387.874 232.471 388.477 232.471 389.22 c
S
224.371 397.74 m
224.371 398.483 223.766 399.086 223.02 399.086 c
222.274 399.086 221.669 398.483 221.669 397.74 c
221.669 396.997 222.274 396.394 223.02 396.394 c
223.766 396.394 224.371 396.997 224.371 397.74 c
f
224.371 397.74 m
224.371 398.483 223.766 399.086 223.02 399.086 c
222.274 399.086 221.669 398.483 221.669 397.74 c
221.669 396.997 222.274 396.394 223.02 396.394 c
223.766 396.394 224.371 396.997 224.371 397.74 c
S
248.671 410.28 m
248.671 411.023 248.066 411.626 247.32 411.626 c
246.574 411.626 245.969 411.023 245.969 410.28 c
245.969 409.537 246.574 408.934 247.32 408.934 c
248.066 408.934 248.671 409.537 248.671 410.28 c
f
248.671 410.28 m
248.671 411.023 248.066 411.626 247.32 411.626 c
246.574 411.626 245.969 411.023 245.969 410.28 c
245.969 409.537 246.574 408.934 247.32 408.934 c
248.066 408.934 248.671 409.537 248.671 410.28 c
S
210.871 406.26 m
210.871 407.003 210.266 407.606 209.52 407.606 c
208.774 407.606 208.169 407.003 208.169 406.26 c
208.169 405.517 208.774 404.914 209.52 404.914 c
210.266 404.914 210.871 405.517 210.871 406.26 c
f
210.871 406.26 m
210.871 407.003 210.266 407.606 209.52 407.606 c
208.774 407.606 208.169 407.003 208.169 406.26 c
208.169 405.517 208.774 404.914 209.52 404.914 c
210.266 404.914 210.871 405.517 210.871 406.26 c
S
246.451 390.12 m
246.451 390.863 245.846 391.466 245.1 391.466 c
244.354 391.466 243.749 390.863 243.749 390.12 c
243.749 389.377 244.354 388.774 245.1 388.774 c
245.846 388.774 246.451 389.377 246.451 390.12 c
f
246.451 390.12 m
246.451 390.863 245.846 391.466 245.1 391.466 c
244.354 391.466 243.749 390.863 243.749 390.12 c
243.749 389.377 244.354 388.774 245.1 388.774 c
245.846 388.774 246.451 389.377 246.451 390.12 c
S
296.431 421.92 m
296.431 422.663 295.826 423.266 295.08 423.266 c
294.334 423.266 293.729 422.663 293.729 421.92 c
293.729 421.177 294.334 420.574 295.08 420.574 c
295.826 420.574 296.431 421.177 296.431 421.92 c
f
296.431 421.92 m
296.431 422.663 295.826 423.266 295.08 423.266 c
294.334 423.266 293.729 422.663 293.729 421.92 c
293.729 421.177 294.334 420.574 295.08 420.574 c
295.826 420.574 296.431 421.177 296.431 421.92 c
S
300.031 411.66 m
300.031 412.403 299.426 413.006 298.68 413.006 c
297.934 413.006 297.329 412.403 297.329 411.66 c
297.329 410.917 297.934 410.314 298.68 410.314 c
299.426 410.314 300.031 410.917 300.031 411.66 c
f
300.031 411.66 m
300.031 412.403 299.426 413.006 298.68 413.006 c
297.934 413.006 297.329 412.403 297.329 411.66 c
297.329 410.917 297.934 410.314 298.68 410.314 c
299.426 410.314 300.031 410.917 300.031 411.66 c
S
286.531 413.4 m
286.531 414.143 285.926 414.746 285.18 414.746 c
284.434 414.746 283.829 414.143 283.829 413.4 c
283.829 412.657 284.434 412.054 285.18 412.054 c
285.926 412.054 286.531 412.657 286.531 413.4 c
f
286.531 413.4 m
286.531 414.143 285.926 414.746 285.18 414.746 c
284.434 414.746 283.829 414.143 283.829 413.4 c
283.829 412.657 284.434 412.054 285.18 412.054 c
285.926 412.054 286.531 412.657 286.531 413.4 c
S
302.731 401.76 m
302.731 402.503 302.126 403.106 301.38 403.106 c
300.634 403.106 300.029 402.503 300.029 401.76 c
300.029 401.017 300.634 400.414 301.38 400.414 c
302.126 400.414 302.731 401.017 302.731 401.76 c
f
302.731 401.76 m
302.731 402.503 302.126 403.106 301.38 403.106 c
300.634 403.106 300.029 402.503 300.029 401.76 c
300.029 401.017 300.634 400.414 301.38 400.414 c
302.126 400.414 302.731 401.017 302.731 401.76 c
S
310.831 394.14 m
310.831 394.883 310.226 395.486 309.48 395.486 c
308.734 395.486 308.129 394.883 308.129 394.14 c
308.129 393.397 308.734 392.794 309.48 392.794 c
310.226 392.794 310.831 393.397 310.831 394.14 c
f
310.831 394.14 m
310.831 394.883 310.226 395.486 309.48 395.486 c
308.734 395.486 308.129 394.883 308.129 394.14 c
308.129 393.397 308.734 392.794 309.48 392.794 c
310.226 392.794 310.831 393.397 310.831 394.14 c
S
296.851 389.64 m
296.851 390.383 296.246 390.986 295.5 390.986 c
294.754 390.986 294.149 390.383 294.149 389.64 c
294.149 388.897 294.754 388.294 295.5 388.294 c
296.246 388.294 296.851 388.897 296.851 389.64 c
f
296.851 389.64 m
296.851 390.383 296.246 390.986 295.5 390.986 c
294.754 390.986 294.149 390.383 294.149 389.64 c
294.149 388.897 294.754 388.294 295.5 388.294 c
296.246 388.294 296.851 388.897 296.851 389.64 c
S
281.551 386.52 m
281.551 387.263 280.946 387.866 280.2 387.866 c
279.454 387.866 278.849 387.263 278.849 386.52 c
278.849 385.777 279.454 385.174 280.2 385.174 c
280.946 385.174 281.551 385.777 281.551 386.52 c
f
281.551 386.52 m
281.551 387.263 280.946 387.866 280.2 387.866 c
279.454 387.866 278.849 387.263 278.849 386.52 c
278.849 385.777 279.454 385.174 280.2 385.174 c
280.946 385.174 281.551 385.777 281.551 386.52 c
S
313.111 410.76 m
313.111 411.503 312.506 412.106 311.76 412.106 c
311.014 412.106 310.409 411.503 310.409 410.76 c
310.409 410.017 311.014 409.414 311.76 409.414 c
312.506 409.414 313.111 410.017 313.111 410.76 c
f
313.111 410.76 m
313.111 411.503 312.506 412.106 311.76 412.106 c
311.014 412.106 310.409 411.503 310.409 410.76 c
310.409 410.017 311.014 409.414 311.76 409.414 c
312.506 409.414 313.111 410.017 313.111 410.76 c
S
275.251 406.68 m
275.251 407.423 274.646 408.026 273.9 408.026 c
273.154 408.026 272.549 407.423 272.549 406.68 c
272.549 405.937 273.154 405.334 273.9 405.334 c
274.646 405.334 275.251 405.937 275.251 406.68 c
f
275.251 406.68 m
275.251 407.423 274.646 408.026 273.9 408.026 c
273.154 408.026 272.549 407.423 272.549 406.68 c
272.549 405.937 273.154 405.334 273.9 405.334 c
274.646 405.334 275.251 405.937 275.251 406.68 c
S
324.331 399.06 m
324.331 399.803 323.726 400.406 322.98 400.406 c
322.234 400.406 321.629 399.803 321.629 399.06 c
321.629 398.317 322.234 397.714 322.98 397.714 c
323.726 397.714 324.331 398.317 324.331 399.06 c
f
324.331 399.06 m
324.331 399.803 323.726 400.406 322.98 400.406 c
322.234 400.406 321.629 399.803 321.629 399.06 c
321.629 398.317 322.234 397.714 322.98 397.714 c
323.726 397.714 324.331 398.317 324.331 399.06 c
230.206 541.02 m
230.206 554.762 218.708 565.915 204.54 565.915 c
190.372 565.915 178.874 554.762 178.874 541.02 c
178.874 527.278 190.372 516.125 204.54 516.125 c
218.708 516.125 230.206 527.278 230.206 541.02 c
238.761 484.98 m
238.761 498.722 223.833 509.875 205.44 509.875 c
187.047 509.875 172.119 498.722 172.119 484.98 c
172.119 471.238 187.047 460.085 205.44 460.085 c
223.833 460.085 238.761 471.238 238.761 484.98 c
309.046 545.1 m
309.046 558.842 297.548 569.995 283.38 569.995 c
269.212 569.995 257.714 558.842 257.714 545.1 c
257.714 531.358 269.212 520.205 283.38 520.205 c
297.548 520.205 309.046 531.358 309.046 545.1 c
372.076 543.96 m
372.076 556.588 360.779 566.836 346.86 566.836 c
332.941 566.836 321.644 556.588 321.644 543.96 c
321.644 531.332 332.941 521.084 346.86 521.084 c
360.779 521.084 372.076 531.332 372.076 543.96 c
344.116 500.46 m
344.116 513.088 332.819 523.336 318.9 523.336 c
304.981 523.336 293.684 513.088 293.684 500.46 c
293.684 487.832 304.981 477.584 318.9 477.584 c
332.819 477.584 344.116 487.832 344.116 500.46 c
254.536 402.42 m
254.536 416.409 243.239 427.763 229.32 427.763 c
215.401 427.763 204.104 416.409 204.104 402.42 c
204.104 388.431 215.401 377.077 229.32 377.077 c
243.239 377.077 254.536 388.431 254.536 402.42 c
327.919 400.68 m
327.919 414.669 314.202 426.023 297.3 426.023 c
280.398 426.023 266.681 414.669 266.681 400.68 c
266.681 386.691 280.398 375.337 297.3 375.337 c
314.202 375.337 327.919 386.691 327.919 400.68 c
341.476 402.9 m
341.476 425.308 308.192 443.494 267.18 443.494 c
226.168 443.494 192.884 425.308 192.884 402.9 c
192.884 380.492 226.168 362.306 267.18 362.306 c
308.192 362.306 341.476 380.492 341.476 402.9 c
245.11 513.9 m
245.11 551.288 226.854 581.632 204.36 581.632 c
181.866 581.632 163.61 551.288 163.61 513.9 c
163.61 476.512 181.866 446.169 204.36 446.169 c
226.854 446.169 245.11 476.512 245.11 513.9 c
376.614 533.22 m
376.614 563.675 348.876 588.392 314.7 588.392 c
280.524 588.392 252.786 563.675 252.786 533.22 c
252.786 502.765 280.524 478.048 314.7 478.048 c
348.876 478.048 376.614 502.765 376.614 533.22 c
387.808 491.46 m
387.808 567.226 335.057 628.717 270.06 628.717 c
205.063 628.717 152.312 567.226 152.312 491.46 c
152.312 415.694 205.063 354.203 270.06 354.203 c
335.057 354.203 387.808 415.694 387.808 491.46 c
S
BT
/TT5 1 Tf
8.1051 0 0 8.074 182.0499 531.4012 Tm
0 Tc
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(11)Tj
/TT5 1 Tf
-0.7006 -7.0556 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(12)Tj
/TT5 1 Tf
10.355 11.3333 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(21)Tj
/TT5 1 Tf
6.0772 -1.2222 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(22)Tj
/TT5 1 Tf
-2.8672 -7.3333 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(23)Tj
/TT5 1 Tf
-11.8117 -7.8889 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(31)Tj
/TT5 1 Tf
6.1883 -2.2778 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(32)Tj
/TT5 1 Tf
-13.7561 14.6667 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(11 )Tj
/TT5 1 Tf
1.25 0.3889 TD
<0046>Tj
/TT12 1 Tf
0.7681 -0.3889 TD
( )Tj
/TT5 1 Tf
0.25 0.3889 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(12)Tj
1 0.3889 TD
( = )Tj
/TT5 1 Tf
1.0488 0 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(1)Tj
/TT5 1 Tf
5.1369 8.3333 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(21 )Tj
/TT5 1 Tf
1.25 0.3889 TD
<0046>Tj
/TT12 1 Tf
0.7681 -0.3889 TD
( )Tj
/TT5 1 Tf
0.25 0.3889 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(22 )Tj
/TT5 1 Tf
1.25 0.3889 TD
<0046>Tj
/TT12 1 Tf
0.7681 -0.3889 TD
( )Tj
/TT5 1 Tf
0.25 0.3889 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(23)Tj
1 0.3889 TD
( = )Tj
/TT5 1 Tf
1.0488 0 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(2)Tj
/TT5 1 Tf
-11.6095 -17.5 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(31)Tj
1 0.3889 TD
( )Tj
/TT5 1 Tf
0.25 0 TD
<0046>Tj
/TT12 1 Tf
0.7681 0 TD
( )Tj
/TT5 1 Tf
0.25 0 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(32)Tj
1 0.3889 TD
( = )Tj
/TT5 1 Tf
1.0488 0 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(3)Tj
/TT5 1 Tf
-1.4742 3.7778 TD
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(1)Tj
0.5 0.3889 TD
( )Tj
/TT5 1 Tf
0.25 0 TD
<0046>Tj
/TT12 1 Tf
5.4034 0 0 5.3826 294.5912 458.2871 Tm
( )Tj
/TT5 1 Tf
8.1051 0 0 8.074 295.942 458.2871 Tm
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(2)Tj
0.5 0.3889 TD
( )Tj
/TT5 1 Tf
0.25 0 TD
<0046>Tj
/TT12 1 Tf
5.4034 0 0 5.3826 313.4739 458.2871 Tm
( )Tj
/TT5 1 Tf
8.1051 0 0 8.074 314.8248 458.2871 Tm
<0055>Tj
/TT12 1 Tf
0.645 -0.3889 TD
(3)Tj
0.5 0.3889 TD
( = )Tj
/TT5 1 Tf
1.0488 0 TD
<0055>Tj
/T6 1 Tf
0.18 0 0 -0.18 192.78 325.02 Tm
[(Figure)-17000.1()-25000(A)-18000(Hierarc)]TJ
522 0 TD
(h)Tj
29 0 TD
[(y)-18000.1(o)0.1(f)-18000.1(C)0.1(lusters)]TJ
/T2 1 Tf
-1022.0001 172.9999 TD
0.0001 Tc
( )Tj
209.0001 0 TD
0 Tc
[(Clustering)-29000(Metho)-3000.1(d)0.1(s)]TJ
/T4 1 Tf
-209.0001 148.0001 TD
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310.751 431.475 l
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f
q
1.0017 0 0 0.9983 0 0 cm
0.938 w
286.73 408.686 m
314.937 408.686 l
314.937 408.686 m
308.146 411.82 l
310.236 408.686 l
308.146 405.552 l
s
Q
315.46 408.009 m
308.658 411.138 l
310.751 408.009 l
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f
BT
9.4179 0 0 9.3867 295.5774 437.2117 Tm
(p)Tj
0.5562 -0.3889 TD
(3)Tj
0.5562 0.3889 TD
( = pr\(black wins\))Tj
-1.1123 -2.5 TD
(p)Tj
0.5562 -0.3889 TD
(4)Tj
0.5562 0.3889 TD
( = pr\(black gammons\))Tj
-1.1123 7.7222 TD
(p)Tj
0.5562 -0.3889 TD
(1)Tj
0.5562 0.3889 TD
( = pr\(white wins\))Tj
-1.1123 -2.7778 TD
(p)Tj
0.5562 -0.3889 TD
(2)Tj
0.5562 0.3889 TD
( = pr\(white gammons\))Tj
-3.3345 9.5556 TD
(estimated payoff:)Tj
0 -1.3333 TD
(d = p)Tj
2.252 -0.3889 TD
(1)Tj
0.5562 0.3889 TD
( + 2p)Tj
2.252 -0.3889 TD
(2)Tj
0.5562 0.3889 TD
( )Tj
/TT5 1 Tf
0.2778 0 TD
<003c>Tj
/TT2 1 Tf
0.5488 0 TD
( p)Tj
0.834 -0.3889 TD
(3)Tj
0.5561 0.3889 TD
( )Tj
/TT5 1 Tf
0.2778 0 TD
<003c>Tj
/TT2 1 Tf
0.5488 0 TD
( 2p)Tj
1.3901 -0.3889 TD
(4)Tj
ET
205.071 510.48 m
205.071 513.215 202.844 515.434 200.1 515.434 c
197.356 515.434 195.129 513.215 195.129 510.48 c
195.129 507.745 197.356 505.526 200.1 505.526 c
202.844 505.526 205.071 507.745 205.071 510.48 c
205.071 491.7 m
205.071 494.435 202.844 496.654 200.1 496.654 c
197.356 496.654 195.129 494.435 195.129 491.7 c
195.129 488.965 197.356 486.746 200.1 486.746 c
202.844 486.746 205.071 488.965 205.071 491.7 c
S
BT
7.325 0 0 7.3007 133.3811 523.256 Tm
(no. of white)Tj
0 -1.2857 TD
(on cell 1)Tj
ET
q
1.0017 0 0 0.9983 0 0 cm
1.098 w
173.549 556.51 m
184.872 556.51 l
173.903 556.51 m
173.903 482.859 l
173.903 482.859 m
184.872 482.859 l
S
Q
204.051 356.64 m
204.051 359.375 201.824 361.594 199.08 361.594 c
196.336 361.594 194.109 359.375 194.109 356.64 c
194.109 353.905 196.336 351.686 199.08 351.686 c
201.824 351.686 204.051 353.905 204.051 356.64 c
204.051 337.38 m
204.051 340.115 201.824 342.334 199.08 342.334 c
196.336 342.334 194.109 340.115 194.109 337.38 c
194.109 334.645 196.336 332.426 199.08 332.426 c
201.824 332.426 204.051 334.645 204.051 337.38 c
204.051 317.52 m
204.051 320.255 201.824 322.474 199.08 322.474 c
196.336 322.474 194.109 320.255 194.109 317.52 c
194.109 314.785 196.336 312.566 199.08 312.566 c
201.824 312.566 204.051 314.785 204.051 317.52 c
204.051 298.74 m
204.051 301.475 201.824 303.694 199.08 303.694 c
196.336 303.694 194.109 301.475 194.109 298.74 c
194.109 296.005 196.336 293.786 199.08 293.786 c
201.824 293.786 204.051 296.005 204.051 298.74 c
204.051 392.64 m
204.051 395.375 201.824 397.594 199.08 397.594 c
196.336 397.594 194.109 395.375 194.109 392.64 c
194.109 389.905 196.336 387.686 199.08 387.686 c
201.824 387.686 204.051 389.905 204.051 392.64 c
S
q
1.0017 0 0 0.9983 0 0 cm
1.098 w
173.549 400.329 m
184.872 400.329 l
173.903 400.329 m
173.903 294.292 l
173.903 294.292 m
184.872 294.292 l
S
Q
BT
7.325 0 0 7.3007 128.1489 355.3391 Tm
(no. on bar,)Tj
T*
(off board,)Tj
T*
(and who)Tj
T*
(moves)Tj
9.4179 0 0 9.3867 161.6346 277.117 Tm
(198 inputs)Tj
7.325 0 0 7.3007 186.2257 546.7227 Tm
(1)Tj
0.0714 -2.5 TD
(2)Tj
0.0714 -2.9286 TD
(3)Tj
-1.5 -2.5 TD
(# > 3)Tj
ET
243.291 518.28 m
243.291 521.015 241.064 523.234 238.32 523.234 c
235.576 523.234 233.349 521.015 233.349 518.28 c
233.349 515.545 235.576 513.326 238.32 513.326 c
241.064 513.326 243.291 515.545 243.291 518.28 c
243.291 500.04 m
243.291 502.775 241.064 504.994 238.32 504.994 c
235.576 504.994 233.349 502.775 233.349 500.04 c
233.349 497.305 235.576 495.086 238.32 495.086 c
241.064 495.086 243.291 497.305 243.291 500.04 c
243.291 480.78 m
243.291 483.515 241.064 485.734 238.32 485.734 c
235.576 485.734 233.349 483.515 233.349 480.78 c
233.349 478.045 235.576 475.826 238.32 475.826 c
241.064 475.826 243.291 478.045 243.291 480.78 c
243.291 460.92 m
243.291 463.655 241.064 465.874 238.32 465.874 c
235.576 465.874 233.349 463.655 233.349 460.92 c
233.349 458.185 235.576 455.966 238.32 455.966 c
241.064 455.966 243.291 458.185 243.291 460.92 c
243.291 442.14 m
243.291 444.875 241.064 447.094 238.32 447.094 c
235.576 447.094 233.349 444.875 233.349 442.14 c
233.349 439.405 235.576 437.186 238.32 437.186 c
241.064 437.186 243.291 439.405 243.291 442.14 c
243.771 536.04 m
243.771 538.775 241.544 540.994 238.8 540.994 c
236.056 540.994 233.829 538.775 233.829 536.04 c
233.829 533.305 236.056 531.086 238.8 531.086 c
241.544 531.086 243.771 533.305 243.771 536.04 c
243.291 382.2 m
243.291 384.935 241.064 387.154 238.32 387.154 c
235.576 387.154 233.349 384.935 233.349 382.2 c
233.349 379.465 235.576 377.246 238.32 377.246 c
241.064 377.246 243.291 379.465 243.291 382.2 c
243.291 363.96 m
243.291 366.695 241.064 368.914 238.32 368.914 c
235.576 368.914 233.349 366.695 233.349 363.96 c
233.349 361.225 235.576 359.006 238.32 359.006 c
241.064 359.006 243.291 361.225 243.291 363.96 c
243.291 344.64 m
243.291 347.375 241.064 349.594 238.32 349.594 c
235.576 349.594 233.349 347.375 233.349 344.64 c
233.349 341.905 235.576 339.686 238.32 339.686 c
241.064 339.686 243.291 341.905 243.291 344.64 c
243.291 324.84 m
243.291 327.575 241.064 329.794 238.32 329.794 c
235.576 329.794 233.349 327.575 233.349 324.84 c
233.349 322.105 235.576 319.886 238.32 319.886 c
241.064 319.886 243.291 322.105 243.291 324.84 c
243.291 306.06 m
243.291 308.795 241.064 311.014 238.32 311.014 c
235.576 311.014 233.349 308.795 233.349 306.06 c
233.349 303.325 235.576 301.106 238.32 301.106 c
241.064 301.106 243.291 303.325 243.291 306.06 c
243.291 399.9 m
243.291 402.635 241.064 404.854 238.32 404.854 c
235.576 404.854 233.349 402.635 233.349 399.9 c
233.349 397.165 235.576 394.946 238.32 394.946 c
241.064 394.946 243.291 397.165 243.291 399.9 c
S
BT
12.5571 0 0 12.5155 234.3614 422.0887 Tm
(. . .)Tj
9.4179 0 0 9.3867 235.931 287.5466 Tm
(up to 40 hidden units)Tj
ET
q
1.0017 0 0 0.9983 0 0 cm
0.938 w
205.244 550.242 m
234.495 538.75 l
204.721 298.471 m
232.928 306.306 l
242.33 310.485 m
278.895 404.507 l
242.853 534.049 m
278.895 485.471 l
S
Q
BT
7.325 0 0 7.3007 137.5668 440.3405 Tm
(2 x 24)Tj
0 -1.2857 TD
(cells)Tj
9.4179 0 0 9.3867 280.4042 365.2473 Tm
(4 output units)Tj
-9.7778 -11.5556 TD
(hidden and output units are sigmoids)Tj
0 -1.2222 TD
(learning rate: c = 0.1; initial weights chosen)Tj
0 -1.3333 TD
(randomly between )Tj
/TT5 1 Tf
8.4492 0 TD
<003c>Tj
/TT2 1 Tf
0.5488 0 TD
(0.5 and +0.5.)Tj
0.3908 28.6667 TD
(estimated probabilities:)Tj
/T6 1 Tf
0.18 0 0 -0.18 183.96 194.88 Tm
[(Figure)-17999.9( \015)-24000(The)-18000(T)0.1(D gammon)-16000.1(Net)]TJ
839.0001 0 TD
(w)Tj
38 0 TD
(ork)Tj
ET
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BT
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/GS1 gs
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(Chapter)Tj
516.0002 0 TD
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( )Tj
/T8 1 Tf
-516.0002 295 TD
0 Tc
(Dela)Tj
311.0001 0 TD
(y)Tj
80.0001 0 TD
(ed Reinforcemen)Tj
1163 0 TD
(t)Tj
-1554 166 TD
(Learning)Tj
/T2 1 Tf
0 340 TD
( )Tj
255.0001 0 TD
[(The)-30000(General)-29000.1(P)0(roblem)]TJ
/T6 1 Tf
-255.0001 141.0002 TD
[(Imagine)-21000(a)-22000(rob)-2000.1(ot)-20000(that)-20000.1(exists)-21999.9(i)0(n)-23000(a)-0.1(n)-20999.9(e)0(n)]TJ
901.0001 0 TD
(vironmen)Tj
226 0 TD
[(t)-21000.1(i)0.1(n)-22000.1(whic)]TJ
220 0 TD
[(h)-22000.1(i)0(t)-22999.9(can)-21000.2(sense)-21000(and)]TJ
-1347 65.9999 TD
0.0001 Tc
(act)Tj
130.0001 0 TD
0 Tc
[(Supp)-1999.9(ose)-21999.9(as)-23000(a)0(n)-23000(extreme)-21999.9(c)0(ase)-22000.1(that)-22000.1(it)-24000(has)-22999.9(n)-0.1(o)-23999.9(i)-0.1(dea)-23000.1(a)0.1(b)-2000(o)0(ut)-21999.8(the)-22999.8(e)0(ects)]TJ
-130.0001 67 TD
[(of)-20000(its)-19000.1(a)0(ctions)-29000(That)-19000(is)-21000(it)-20000(do)-2000(esnt)-18000(kno)]TJ
908.0002 0 TD
19.9999 Tc
[(wh)19999.8(o)]TJ
117 0 TD
0 Tc
[(w)-19999.9(a)-0.1(cting)-19000.1(w)0.1(ill)-21000(c)]TJ
357 0 TD
[(hange)-19000.2(its)-19000(sensory)]TJ
-1382.0002 65.9999 TD
[(inputs)-25999.9(Along)-18000(w)-0.1(ith)-19000(its)-18000(sensory)-18000.1(inputs)-17999.9(are)-18000.1()0.1(rew)]TJ
1132.0002 0 TD
[(ards)-18000(whic)]TJ
273 0 TD
[(h)-18999.9(i)-0.2(t)-19000(o)-2000(ccasionally)]TJ
-1405.0002 66 TD
(receiv)Tj
139.0001 0 TD
(es)Tj
99 0 TD
(Ho)Tj
68.0001 0 TD
[(w)-23000(s)0(hould)-22000.1(it)-23000(c)]TJ
325.9999 0 TD
[(ho)-2000(ose)-21000(its)-22000.1(actions)-21999.9(s)0(o)-22000(a)-0.1(s)-23000(t)0.1(o)-22000(maximize)-21000(its)-21999.8(rew)]TJ
1066.0002 0 TD
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-1698.0002 67 TD
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(o)Tj
26.0001 0 TD
(v)Tj
27 0 TD
[(er)-18000(the)-17000(long)-18000(run)-24000(T)]TJ
449 0 TD
[(o)-18000(m)-0.1(aximize)-16999.9(rew)]TJ
379 0 TD
[(ards)-17000.1(it)-18000.1(will)-19000(need)-16999.9(to)-18000(b)-2000.1(e)-16999.9(able)-17000(to)-18000.2(predict)]TJ
-881.0001 66 TD
(ho)Tj
57.0001 0 TD
[(w)-18000(actions)-16000.1(c)]TJ
268.0001 0 TD
[(hange)-17000(inputs)-18000(and)-17000(i)0.1(n)-18000.1(p)0.1(articular)-17000.1(ho)]TJ
844.0001 0 TD
[(w)-17999.9(actions)-16000(l)-0.1(ead)-18000(t)0(o)-17000(rew)]TJ
514.0001 0 TD
(ards)Tj
-1600.0002 85.0001 TD
(W)Tj
52 0 TD
[(e)-19000(f)-0.1(ormalize)-17000(the)-18000(problem)-16000(i)0.1(n)-20000.1(t)0.1(he)-17000(follo)]TJ
856.0002 0 TD
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[(wing)-19000.2(w)]TJ
171 0 TD
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(a)Tj
26 0 TD
[(y)-27000(The)-18000.1(rob)-2000.2(ot)-17000.2(exists)-18999.8(in)-19000(an)]TJ
-1188.0002 67 TD
(en)Tj
54 0 TD
(vironmen)Tj
226.0001 0 TD
[(t)-19000.1(c)0(onsisting)-19000.1(of)-20000(a)-20000(set)]TJ
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(S)Tj
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[()-21000.1(o)0(f)-20000(s)0(tates)-29000.1(W)]TJ
338.0001 0 TD
[(e)-21000(a)0.1(ssume)-18000(t)0(hat)-19000(t)-0.2(he)-20000(rob)-2000(o)0.2(ts)]TJ
-1173.0002 65.9999 TD
[(sensory)-21999.9(a)-0.1(pparatus)-22000.1(constructs)-20000(an)-24000(input)-23000(v)]TJ
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(X)Tj
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48.0001 0 TD
[()-25000(from)-22000(the)-23000(e)0(n)]TJ
331.0001 0 TD
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-1765.0002 67.0001 TD
(whic)Tj
109.0001 0 TD
[(h)-27000(informs)-24999.9(t)-0.1(he)-26000(rob)-2000(ot)-24000(ab)-2000(out)-25000.1(w)0.1(hic)]TJ
802.0001 0 TD
[(h)-26999.9(s)-0.1(tate)-25000.1(the)-26000(e)0(n)]TJ
360 0 TD
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225.9999 0 TD
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[(ti)25000.4(s)-1999.8(i)25000(n)25000.4()]TJ
222.0002 0 TD
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(F)Tj
30.9998 0 TD
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(or)Tj
-1750 66 TD
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[(the)-23000(m)-0.1(omen)]TJ
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[(t)-24000.1(w)]TJ
98.9999 0 TD
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(X)Tj
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71.9999 0 TD
[(to)-22999.9(refer)-23000(to)-23000.2(the)-22000.2(s)0(tate)-21999.8(of)]TJ
-1234 66 TD
0.0001 Tc
[(the)-20999.9(e)0.1(n)]TJ
153.0001 0 TD
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226.0001 0 TD
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[(ta)19000(s)-3000(w)]TJ
150.9999 0 TD
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[(ell)-21999.9(a)0(s)-21000(t)-0.1(o)-20999.9(t)0(he)-21000(input)-21000.1(v)]TJ
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[(input)-22000.1(v)]TJ
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[(ector)-22000(the)-21000.1(r)0.1(ob)-2000(ot)-20000(decides)-21000.1(whic)]TJ
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[(h)-23000.1(a)0.1(ction)-20999.9(f)0(rom)-20000(a)-22000(set)]TJ
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[()-23999.7(o)-0.1(f)-21999.7(a)-0.1(ctions)-20999.7(to)]TJ
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[(p)-2000(e)0(rform)-32000(P)]TJ
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1222.0002 0 TD
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(mo)Tj
73.0001 0 TD
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[(ving)-22999.9(it)-23000(to)-22000.1(a)-22999.9(new)-23000(state)]TJ
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[(The)-23000.1(n)0.1(ew)-22000(state)-22000(r)0.1(esults)-20999.9(in)-24000(the)-22000(r)0.1(ob)-2000(ot)-20999.8(p)-2000.2(e)0(rceiving)]TJ
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[(a)-26000(new)-26000.1(input)-25000.1(v)]TJ
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[(e)-27000.1(a)-0.1(ssume)-23999.9(a)-26000.2(discrete)-24000(time)]TJ
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[(mo)-1999.9(del)-18999.9(t)-0.1(he)-18000(input)-19000(v)]TJ
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( )Tj
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(i)Tj
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(i)Tj
/T6 1 Tf
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[()-20000.1(t)0(he)-19000.1(action)-18000.1(t)0.1(ak)]TJ
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[()-19000.1(and)-18000.1(the)-18000.1(exp)-2000(ected)-16000(rew)]TJ
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()Tj
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()Tj
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