path: root/cryptography/images/lecture14/combine.pdf

%PDF-1.7

1 0 obj
  << >>
endobj

2 0 obj
  << /Length 3 0 R >>
stream
/DeviceRGB CS
/DeviceRGB cs
q
1.000000 -0.000000 0.000000 1.000000 231.000000 62.644684 cm
0.000000 0.000000 0.000000 scn
7.114918 10.915556 m
7.475167 10.915556 7.619267 10.915556 7.619267 11.257792 c
7.619267 11.437916 7.475167 11.437916 7.150943 11.437916 c
5.691935 11.437916 l
6.034171 13.293200 6.286345 14.572083 6.430446 15.148481 c
6.538520 15.580780 6.916781 15.995068 7.385106 15.995068 c
7.763367 15.995068 8.141628 15.832954 8.321753 15.670843 c
7.619267 15.598793 7.403118 15.076432 7.403118 14.770222 c
7.403118 14.409971 7.673304 14.193822 8.015540 14.193822 c
8.375791 14.193822 8.916164 14.500033 8.916164 15.184506 c
8.916164 15.941029 8.159640 16.355316 7.367092 16.355316 c
6.592556 16.355316 5.836034 15.778918 5.475785 15.076432 c
5.151561 14.445997 4.971437 13.797547 4.557150 11.437916 c
3.350316 11.437916 l
3.008080 11.437916 2.827955 11.437916 2.827955 11.113691 c
2.827955 10.915556 2.936029 10.915556 3.296278 10.915556 c
4.449075 10.915556 l
4.124851 9.240396 3.386340 5.169581 2.972054 3.242249 c
2.665842 1.675165 2.395656 0.360257 1.495034 0.360257 c
1.440996 0.360257 0.918634 0.360257 0.594410 0.702494 c
1.513046 0.774544 1.513046 1.567091 1.513046 1.585103 c
1.513046 1.945354 1.242858 2.161502 0.900622 2.161502 c
0.540374 2.161502 0.000000 1.855290 0.000000 1.170818 c
0.000000 0.396281 0.792547 0.000008 1.495034 0.000008 c
3.332304 0.000008 4.088827 3.296286 4.286964 4.196909 c
4.611188 5.583869 5.493798 10.375182 5.583860 10.915556 c
7.114918 10.915556 l
h
f
n
Q
q
257.000000 71.000000 m
221.000000 23.368607 l
221.000000 118.631393 l
257.000000 71.000000 l
h
W*
n
q
0.000000 -1.000000 1.000000 0.000000 161.737183 126.000000 cm
0.000000 0.000000 0.000000 scn
55.000000 95.262817 m
55.602959 96.060593 l
55.000000 96.516312 l
54.397041 96.060593 l
55.000000 95.262817 l
h
102.631393 59.262817 m
102.631393 58.262817 l
105.612976 58.262817 l
103.234352 60.060589 l
102.631393 59.262817 l
h
7.368603 59.262817 m
6.765644 60.060589 l
4.387022 58.262817 l
7.368603 58.262817 l
7.368603 59.262817 l
h
54.397041 94.465042 m
102.028435 58.465046 l
103.234352 60.060589 l
55.602959 96.060593 l
54.397041 94.465042 l
h
102.631393 60.262817 m
7.368603 60.262817 l
7.368603 58.262817 l
102.631393 58.262817 l
102.631393 60.262817 l
h
7.971562 58.465046 m
55.602959 94.465042 l
54.397041 96.060593 l
6.765644 60.060589 l
7.971562 58.465046 l
h
f
n
Q
Q
q
1.000000 0.000000 -0.000000 1.000000 257.000000 63.538391 cm
0.000000 0.000000 0.000000 scn
14.389223 7.108056 m
14.584485 7.303318 14.584485 7.619900 14.389223 7.815162 c
11.207242 10.997143 l
11.011980 11.192405 10.695397 11.192405 10.500135 10.997143 c
10.304873 10.801881 10.304873 10.485298 10.500135 10.290036 c
13.328563 7.461609 l
10.500135 4.633182 l
10.304873 4.437920 10.304873 4.121337 10.500135 3.926075 c
10.695397 3.730813 11.011980 3.730813 11.207242 3.926075 c
14.389223 7.108056 l
h
0.000000 6.961609 m
14.035669 6.961609 l
14.035669 7.961609 l
0.000000 7.961609 l
0.000000 6.961609 l
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 275.000000 65.201843 cm
0.000000 0.000000 0.000000 scn
6.466472 6.052185 m
6.430446 6.934794 6.394422 8.321754 5.709947 9.942874 c
5.349699 10.843496 4.737275 11.798157 3.422366 11.798157 c
1.206834 11.798157 0.000000 8.970201 0.000000 8.501877 c
0.000000 8.339766 0.126087 8.339766 0.180125 8.339766 c
0.342236 8.339766 0.342236 8.375790 0.432299 8.609952 c
0.810561 9.726725 1.963359 10.609335 3.206217 10.609335 c
5.709948 10.609335 6.070198 7.817405 6.070198 6.034172 c
6.070198 4.899388 5.944111 4.521125 5.836036 4.160877 c
5.493798 3.044104 4.899388 0.810560 4.899388 0.306211 c
4.899388 0.162112 4.953424 0.000000 5.097525 0.000000 c
5.367711 0.000000 5.529824 0.594412 5.727962 1.314908 c
6.160260 2.900004 6.268335 3.692553 6.358397 4.413051 c
6.412434 4.845350 7.439144 7.817405 8.862127 10.645359 c
8.988214 10.933559 9.240389 11.419895 9.240389 11.473932 c
9.240389 11.491944 9.222377 11.618032 9.060266 11.618032 c
9.024240 11.618032 8.934178 11.618032 8.898152 11.545982 c
8.862128 11.509956 8.231692 10.285110 7.691319 9.060265 c
7.421131 8.447841 7.060882 7.637280 6.466472 6.052185 c
h
f
n
Q
q
31.000000 97.000000 m
191.000000 97.000000 l
191.000000 84.000000 l
31.000000 84.000000 l
31.000000 97.000000 l
h
W*
n
q
1.000000 0.000000 -0.000000 1.000000 31.000000 84.000000 cm
0.000000 0.000000 0.000000 scn
0.000000 13.000000 m
0.000000 14.000000 l
-1.000000 14.000000 l
-1.000000 13.000000 l
0.000000 13.000000 l
h
160.000000 13.000000 m
161.000000 13.000000 l
161.000000 14.000000 l
160.000000 14.000000 l
160.000000 13.000000 l
h
160.000000 0.000000 m
160.000000 -1.000000 l
161.000000 -1.000000 l
161.000000 0.000000 l
160.000000 0.000000 l
h
0.000000 0.000000 m
-1.000000 0.000000 l
-1.000000 -1.000000 l
0.000000 -1.000000 l
0.000000 0.000000 l
h
0.000000 12.000000 m
160.000000 12.000000 l
160.000000 14.000000 l
0.000000 14.000000 l
0.000000 12.000000 l
h
159.000000 13.000000 m
159.000000 0.000000 l
161.000000 0.000000 l
161.000000 13.000000 l
159.000000 13.000000 l
h
160.000000 1.000000 m
0.000000 1.000000 l
0.000000 -1.000000 l
160.000000 -1.000000 l
160.000000 1.000000 l
h
1.000000 0.000000 m
1.000000 13.000000 l
-1.000000 13.000000 l
-1.000000 0.000000 l
1.000000 0.000000 l
h
f
n
Q
Q
q
1.000000 0.000000 -0.000000 1.000000 191.000000 84.038391 cm
0.000000 0.000000 0.000000 scn
30.353554 7.108056 m
30.548815 7.303318 30.548815 7.619900 30.353554 7.815162 c
27.171574 10.997143 l
26.976311 11.192405 26.659729 11.192405 26.464466 10.997143 c
26.269203 10.801881 26.269203 10.485298 26.464466 10.290036 c
29.292892 7.461609 l
26.464466 4.633182 l
26.269203 4.437920 26.269203 4.121337 26.464466 3.926075 c
26.659729 3.730813 26.976311 3.730813 27.171574 3.926075 c
30.353554 7.108056 l
h
0.000000 6.961609 m
30.000000 6.961609 l
30.000000 7.961609 l
0.000000 7.961609 l
0.000000 6.961609 l
h
f
n
Q
q
0.000000 1.000000 -1.000000 0.000000 216.000000 91.000000 cm
0.000000 0.000000 0.000000 scn
0.000000 15.000000 m
15.000000 15.000000 l
15.000000 16.000000 l
0.000000 16.000000 l
0.000000 15.000000 l
h
f
n
Q
q
-0.999996 0.002732 -0.002732 -0.999996 201.003403 108.000023 cm
0.000000 0.000000 0.000000 scn
0.000000 1.491730 m
180.000000 1.491730 l
180.000000 2.491730 l
0.000000 2.491730 l
0.000000 1.491730 l
h
f
n
Q
q
0.000000 -1.000000 1.000000 0.000000 6.000000 106.000000 cm
0.000000 0.000000 0.000000 scn
0.000000 15.000000 m
15.000000 15.000000 l
15.000000 16.000000 l
0.000000 16.000000 l
0.000000 15.000000 l
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 21.000000 83.538391 cm
0.000000 0.000000 0.000000 scn
10.353554 7.108056 m
10.548816 7.303318 10.548816 7.619900 10.353554 7.815162 c
7.171573 10.997143 l
6.976311 11.192405 6.659728 11.192405 6.464466 10.997143 c
6.269204 10.801881 6.269204 10.485298 6.464466 10.290036 c
9.292893 7.461609 l
6.464466 4.633182 l
6.269204 4.437920 6.269204 4.121337 6.464466 3.926075 c
6.659728 3.730813 6.976311 3.730813 7.171573 3.926075 c
10.353554 7.108056 l
h
0.000000 6.961609 m
10.000000 6.961609 l
10.000000 7.961609 l
0.000000 7.961609 l
0.000000 6.961609 l
h
f
n
Q
q
0.000000 1.000000 -1.000000 0.000000 120.548828 97.000000 cm
0.000000 0.000000 0.000000 scn
9.353554 9.195274 m
9.548816 9.390537 9.548816 9.707119 9.353554 9.902382 c
6.171573 13.084362 l
5.976311 13.279624 5.659728 13.279624 5.464466 13.084362 c
5.269204 12.889100 5.269204 12.572517 5.464466 12.377255 c
8.292893 9.548828 l
5.464466 6.720401 l
5.269204 6.525139 5.269204 6.208556 5.464466 6.013294 c
5.659728 5.818032 5.976311 5.818032 6.171573 6.013294 c
9.353554 9.195274 l
h
0.000000 9.048828 m
9.000000 9.048828 l
9.000000 10.048828 l
0.000000 10.048828 l
0.000000 9.048828 l
h
f
n
Q
q
31.000000 51.999969 m
191.000000 51.999969 l
191.000000 38.999969 l
31.000000 38.999969 l
31.000000 51.999969 l
h
W*
n
q
1.000000 0.000000 -0.000000 1.000000 31.000000 38.999969 cm
0.000000 0.000000 0.000000 scn
0.000000 13.000000 m
0.000000 14.000000 l
-1.000000 14.000000 l
-1.000000 13.000000 l
0.000000 13.000000 l
h
160.000000 13.000000 m
161.000000 13.000000 l
161.000000 14.000000 l
160.000000 14.000000 l
160.000000 13.000000 l
h
160.000000 0.000000 m
160.000000 -1.000000 l
161.000000 -1.000000 l
161.000000 0.000000 l
160.000000 0.000000 l
h
0.000000 0.000000 m
-1.000000 0.000000 l
-1.000000 -1.000000 l
0.000000 -1.000000 l
0.000000 0.000000 l
h
0.000000 12.000000 m
160.000000 12.000000 l
160.000000 14.000000 l
0.000000 14.000000 l
0.000000 12.000000 l
h
159.000000 13.000000 m
159.000000 0.000000 l
161.000000 0.000000 l
161.000000 13.000000 l
159.000000 13.000000 l
h
160.000000 1.000000 m
0.000000 1.000000 l
0.000000 -1.000000 l
160.000000 -1.000000 l
160.000000 1.000000 l
h
1.000000 0.000000 m
1.000000 13.000000 l
-1.000000 13.000000 l
-1.000000 0.000000 l
1.000000 0.000000 l
h
f
n
Q
Q
q
1.000000 0.000000 -0.000000 1.000000 191.000000 39.038361 cm
0.000000 0.000000 0.000000 scn
30.353554 7.108056 m
30.548815 7.303318 30.548815 7.619900 30.353554 7.815162 c
27.171574 10.997143 l
26.976311 11.192405 26.659729 11.192405 26.464466 10.997143 c
26.269203 10.801881 26.269203 10.485298 26.464466 10.290036 c
29.292892 7.461609 l
26.464466 4.633182 l
26.269203 4.437920 26.269203 4.121337 26.464466 3.926075 c
26.659729 3.730813 26.976311 3.730813 27.171574 3.926075 c
30.353554 7.108056 l
h
0.000000 6.961609 m
30.000000 6.961609 l
30.000000 7.961609 l
0.000000 7.961609 l
0.000000 6.961609 l
h
f
n
Q
q
0.000000 1.000000 -1.000000 0.000000 216.000000 45.999969 cm
0.000000 0.000000 0.000000 scn
0.000000 15.000000 m
15.000000 15.000000 l
15.000000 16.000000 l
0.000000 16.000000 l
0.000000 15.000000 l
h
f
n
Q
q
-0.999996 0.002732 -0.002732 -0.999996 201.003403 62.999996 cm
0.000000 0.000000 0.000000 scn
0.000000 1.491730 m
180.000000 1.491730 l
180.000000 2.491730 l
0.000000 2.491730 l
0.000000 1.491730 l
h
f
n
Q
q
0.000000 -1.000000 1.000000 0.000000 6.000000 60.999969 cm
0.000000 0.000000 0.000000 scn
0.000000 15.000000 m
15.000000 15.000000 l
15.000000 16.000000 l
0.000000 16.000000 l
0.000000 15.000000 l
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 21.000000 38.538361 cm
0.000000 0.000000 0.000000 scn
10.353554 7.108056 m
10.548816 7.303318 10.548816 7.619900 10.353554 7.815162 c
7.171573 10.997143 l
6.976311 11.192405 6.659728 11.192405 6.464466 10.997143 c
6.269204 10.801881 6.269204 10.485298 6.464466 10.290036 c
9.292893 7.461609 l
6.464466 4.633182 l
6.269204 4.437920 6.269204 4.121337 6.464466 3.926075 c
6.659728 3.730813 6.976311 3.730813 7.171573 3.926075 c
10.353554 7.108056 l
h
0.000000 6.961609 m
10.000000 6.961609 l
10.000000 7.961609 l
0.000000 7.961609 l
0.000000 6.961609 l
h
f
n
Q
q
0.000000 1.000000 -1.000000 0.000000 120.548828 51.999969 cm
0.000000 0.000000 0.000000 scn
9.353554 9.195274 m
9.548816 9.390537 9.548816 9.707119 9.353554 9.902382 c
6.171573 13.084362 l
5.976311 13.279624 5.659728 13.279624 5.464466 13.084362 c
5.269204 12.889100 5.269204 12.572517 5.464466 12.377255 c
8.292893 9.548828 l
5.464466 6.720401 l
5.269204 6.525139 5.269204 6.208556 5.464466 6.013294 c
5.659728 5.818032 5.976311 5.818032 6.171573 6.013294 c
9.353554 9.195274 l
h
0.000000 9.048828 m
9.000000 9.048828 l
9.000000 10.048828 l
0.000000 10.048828 l
0.000000 9.048828 l
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 8.000000 41.876373 cm
0.000000 0.000000 0.000000 scn
5.655910 1.224857 m
5.890073 0.216159 6.754671 0.000010 7.186969 0.000010 c
7.763367 0.000010 8.195665 0.378272 8.483866 0.990696 c
8.790077 1.639144 9.024239 2.701879 9.024239 2.755916 c
9.024239 2.845978 8.952189 2.918028 8.844114 2.918028 c
8.682003 2.918028 8.663989 2.827966 8.591940 2.557778 c
8.267716 1.314920 7.943492 0.360260 7.222994 0.360260 c
6.682620 0.360260 6.682620 0.954670 6.682620 1.188831 c
6.682620 1.603118 6.736657 1.783243 6.916782 2.539766 c
7.042869 3.026103 7.168955 3.512439 7.277030 4.016788 c
8.015541 6.952817 l
8.141629 7.403128 8.141629 7.439154 8.141629 7.493190 c
8.141629 7.763378 7.925480 7.943501 7.655293 7.943501 c
7.132931 7.943501 7.006844 7.493190 6.898769 7.042879 c
6.718644 6.340393 5.745972 2.467716 5.619885 1.837280 c
5.601873 1.837280 4.899387 0.360260 3.584478 0.360260 c
2.647830 0.360260 2.467706 1.170819 2.467706 1.837280 c
2.467706 2.863990 2.972054 4.304986 3.440379 5.511821 c
3.656528 6.088219 3.746591 6.322381 3.746591 6.682631 c
3.746591 7.457166 3.188203 8.123627 2.323606 8.123627 c
0.666460 8.123627 0.000000 5.511821 0.000000 5.367721 c
0.000000 5.295672 0.072049 5.205609 0.198136 5.205609 c
0.360249 5.205609 0.378261 5.277659 0.450311 5.529833 c
0.882610 7.078904 1.585095 7.763378 2.269569 7.763378 c
2.449692 7.763378 2.737892 7.745366 2.737892 7.168966 c
2.737892 6.700643 2.539755 6.178282 2.269569 5.493809 c
1.477020 3.350327 1.386958 2.665853 1.386958 2.125479 c
1.386958 0.288209 2.773917 0.000010 3.512428 0.000010 c
4.665225 0.000010 5.295661 0.792559 5.655910 1.224857 c
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 8.000000 86.876373 cm
0.000000 0.000000 0.000000 scn
7.745355 6.916792 m
7.745355 8.051576 7.168955 8.123627 7.024856 8.123627 c
6.592557 8.123627 6.196283 7.691328 6.196283 7.331079 c
6.196283 7.114930 6.322371 6.988842 6.394420 6.916792 c
6.574545 6.754680 7.042869 6.268344 7.042869 5.331697 c
7.042869 4.575173 5.962121 0.360260 3.800627 0.360260 c
2.701868 0.360260 2.485718 1.278894 2.485718 1.945354 c
2.485718 2.845978 2.900005 4.106850 3.386341 5.403747 c
3.674540 6.142257 3.746591 6.322381 3.746591 6.682631 c
3.746591 7.439154 3.206215 8.123627 2.323606 8.123627 c
0.666460 8.123627 0.000000 5.511821 0.000000 5.367721 c
0.000000 5.295672 0.072049 5.205609 0.198136 5.205609 c
0.360249 5.205609 0.378261 5.277659 0.450311 5.529833 c
0.882610 7.078904 1.585095 7.763378 2.269569 7.763378 c
2.431680 7.763378 2.737892 7.763378 2.737892 7.168966 c
2.737892 6.700643 2.539755 6.178282 2.269569 5.493809 c
1.404971 3.188214 1.404971 2.629828 1.404971 2.197530 c
1.404971 1.801255 1.459008 1.062745 2.017394 0.558397 c
2.665842 0.000010 3.566466 0.000010 3.728577 0.000010 c
6.718645 0.000010 7.745355 5.890082 7.745355 6.916792 c
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 57.000000 71.000000 cm
0.000000 0.000000 0.000000 scn
3.000000 1.500000 m
3.000000 0.671573 2.328427 0.000000 1.500000 0.000000 c
0.671573 0.000000 0.000000 0.671573 0.000000 1.500000 c
0.000000 2.328427 0.671573 3.000000 1.500000 3.000000 c
2.328427 3.000000 3.000000 2.328427 3.000000 1.500000 c
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 83.000000 71.000000 cm
0.000000 0.000000 0.000000 scn
3.000000 1.500000 m
3.000000 0.671573 2.328427 0.000000 1.500000 0.000000 c
0.671573 0.000000 0.000000 0.671573 0.000000 1.500000 c
0.000000 2.328427 0.671573 3.000000 1.500000 3.000000 c
2.328427 3.000000 3.000000 2.328427 3.000000 1.500000 c
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 109.000000 71.000000 cm
0.000000 0.000000 0.000000 scn
3.000000 1.500000 m
3.000000 0.671573 2.328427 0.000000 1.500000 0.000000 c
0.671573 0.000000 0.000000 0.671573 0.000000 1.500000 c
0.000000 2.328427 0.671573 3.000000 1.500000 3.000000 c
2.328427 3.000000 3.000000 2.328427 3.000000 1.500000 c
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 135.000000 71.000000 cm
0.000000 0.000000 0.000000 scn
3.000000 1.500000 m
3.000000 0.671573 2.328427 0.000000 1.500000 0.000000 c
0.671573 0.000000 0.000000 0.671573 0.000000 1.500000 c
0.000000 2.328427 0.671573 3.000000 1.500000 3.000000 c
2.328427 3.000000 3.000000 2.328427 3.000000 1.500000 c
h
f
n
Q
q
1.000000 0.000000 -0.000000 1.000000 161.000000 71.000000 cm
0.000000 0.000000 0.000000 scn
3.000000 1.500000 m
3.000000 0.671573 2.328427 0.000000 1.500000 0.000000 c
0.671573 0.000000 0.000000 0.671573 0.000000 1.500000 c
0.000000 2.328427 0.671573 3.000000 1.500000 3.000000 c
2.328427 3.000000 3.000000 2.328427 3.000000 1.500000 c
h
f
n
Q

endstream
endobj

3 0 obj
  15787
endobj

4 0 obj
  << /Annots []
     /Type /Page
     /MediaBox [ 0.000000 0.000000 298.000000 135.000000 ]
     /Resources 1 0 R
     /Contents 2 0 R
     /Parent 5 0 R
  >>
endobj

5 0 obj
  << /Kids [ 4 0 R ]
     /Count 1
     /Type /Pages
  >>
endobj

6 0 obj
  << /Pages 5 0 R
     /Type /Catalog
  >>
endobj

xref
0 7
0000000000 65535 f
0000000010 00000 n
0000000034 00000 n
0000015877 00000 n
0000015901 00000 n
0000016076 00000 n
0000016150 00000 n
trailer
<< /ID [ (some) (id) ]
   /Root 6 0 R
   /Size 7
>>
startxref
16209
%%EOF