Figure 1.
Trajectories of three initial states around the value of the dynamical system given by the tent map.
Figure 1.
Trajectories of three initial states around the value of the dynamical system given by the tent map.
Figure 2.
The graphs of the functions , , , , and .
Figure 2.
The graphs of the functions , , , , and .
Figure 3.
The graphs of the original function (the black line) and its piecewise linearizations (the red line), where .
Figure 3.
The graphs of the original function (the black line) and its piecewise linearizations (the red line), where .
Figure 4.
The graphs of the original function (the black lines) and its piecewise linearizations (the red lines), where .
Figure 4.
The graphs of the original function (the black lines) and its piecewise linearizations (the red lines), where .
Figure 5.
The graphs of the original function (the black lines) and its piecewise linearizations (the red lines), where , , (the first row) and , , (the second row).
Figure 5.
The graphs of the original function (the black lines) and its piecewise linearizations (the red lines), where , , (the first row) and , , (the second row).
Figure 6.
The graphs of the function given by 4 points (left) and the fuzzy set given by 6 points (right).
Figure 6.
The graphs of the function given by 4 points (left) and the fuzzy set given by 6 points (right).
Figure 7.
The graphs of .
Figure 7.
The graphs of .
Figure 8.
The graphs of the linearized function given by 18 points (left) and the fuzzy set given by 3 points (right).
Figure 8.
The graphs of the linearized function given by 18 points (left) and the fuzzy set given by 3 points (right).
Figure 9.
The graphs of .
Figure 9.
The graphs of .
Figure 10.
The graphs of the function given by 3 points (left) and the fuzzy set given by 30 points (right).
Figure 10.
The graphs of the function given by 3 points (left) and the fuzzy set given by 30 points (right).
Figure 11.
The graphs of .
Figure 11.
The graphs of .
Figure 12.
The graphs of the linearized function given by 18 points (left) and the fuzzy set given by 23 points (right).
Figure 12.
The graphs of the linearized function given by 18 points (left) and the fuzzy set given by 23 points (right).
Figure 13.
The graphs of .
Figure 13.
The graphs of .
Figure 14.
The graph of the function (left) and a fuzzy set A represented by 2020 equidistantly distributed points (right).
Figure 14.
The graph of the function (left) and a fuzzy set A represented by 2020 equidistantly distributed points (right).
Figure 15.
The graphs of .
Figure 15.
The graphs of .
Figure 16.
Accuracy of the algorithm—the 1st, 10th, and 25th iteration.
Figure 16.
Accuracy of the algorithm—the 1st, 10th, and 25th iteration.
Table 1.
The values of the arithmetic mean and standard deviation of obtained using PSO with , for 50 calculations with the metric .
Table 1.
The values of the arithmetic mean and standard deviation of obtained using PSO with , for 50 calculations with the metric .
| | | | | |
---|
0.57 | 0.44673 ± 0.00954 | 0.44384 ± 0.00711 | 0.44651 ± 0.01313 | 0.44135 ± 0.00568 | 0.44421 ± 0.00696 |
0.61 | 0.44713 ± 0.01215 | 0.44373 ± 0.00739 | 0.44093 ± 0.00422 | 0.44489 ± 0.00951 | 0.44153 ± 0.00582 |
0.65 | 0.44306 ± 0.00762 | 0.44317 ± 0.01346 | 0.43962 ± 0.00271 | 0.44082 ± 0.00664 | 0.44156 ± 0.00449 |
0.69 | 0.44195 ± 0.00687 | 0.44086 ± 0.00518 | 0.46219 ± 0.03799 | 0.43999 ± 0.00298 | 0.47689 ± 0.05146 |
0.73 | 0.44079 ± 0.00615 | 0.45020 ± 0.01613 | 0.57076 ± 0.09284 | 0.46718 ± 0.03999 | 0.64096 ± 0.12199 |
0.57 | 0.44355 ± 0.00961 | 0.44265 ± 0.00589 | 0.44357 ± 0.0072 | 0.44675 ± 0.01298 | 0.44597 ± 0.01079 |
0.61 | 0.44329 ± 0.01365 | 0.44249 ± 0.00833 | 0.44606 ± 0.0126 | 0.44398 ± 0.00775 | 0.44399 ± 0.00721 |
0.65 | 0.44589 ± 0.01372 | 0.44101 ± 0.00461 | 0.44171 ± 0.0053 | 0.44338 ± 0.00705 | 0.44310 ± 0.00761 |
0.69 | 0.53436 ± 0.09852 | 0.44438 ± 0.01404 | 0.44102 ± 0.0042 | 0.44065 ± 0.00464 | 0.44319 ± 0.01528 |
0.73 | 0.69188 ± 0.12316 | 0.51971 ± 0.07506 | 0.44457 ± 0.0123 | 0.44112 ± 0.00611 | 0.44109 ± 0.00463 |
| | | | | |
0.57 | 0.44299 ± 0.00882 | 0.44486 ± 0.00942 | 0.44398 ± 0.00721 | 0.44505 ± 0.01220 | 0.44572 ± 0.00972 |
0.61 | 0.44239 ± 0.00657 | 0.44524 ± 0.01199 | 0.44343 ± 0.00778 | 0.44311 ± 0.00764 | 0.44292 ± 0.00789 |
0.65 | 0.44116 ± 0.00677 | 0.44115 ± 0.00566 | 0.44281 ± 0.00832 | 0.44112 ± 0.00590 | 0.44088 ± 0.00432 |
0.69 | 0.44378 ± 0.01419 | 0.44162 ± 0.00589 | 0.44027 ± 0.00392 | 0.44333 ± 0.01879 | 0.46286 ± 0.03899 |
0.73 | 0.49788 ± 0.06003 | 0.44165 ± 0.00504 | 0.45538 ± 0.01999 | 0.49800 ± 0.05539 | 0.59158 ± 0.09469 |
| | | | | |
0.57 | 0.44485 ± 0.00773 | 0.44334 ± 0.00829 | 0.44387 ± 0.00856 | 0.44495 ± 0.01425 | 0.44402 ± 0.01057 |
0.61 | 0.44507 ± 0.01544 | 0.44187 ± 0.00656 | 0.44056 ± 0.00452 | 0.44194 ± 0.00601 | 0.44251 ± 0.00724 |
0.65 | 0.43928 ± 0.00283 | 0.44065 ± 0.00343 | 0.44204 ± 0.01235 | 0.44051 ± 0.00434 | 0.44099 ± 0.00562 |
0.69 | 0.44618 ± 0.01709 | 0.45029 ± 0.01819 | 0.48591 ± 0.06187 | 0.47058 ± 0.04682 | 0.44028 ± 0.00408 |
0.73 | 0.54212 ± 0.07472 | 0.57070 ± 0.09529 | 0.63198 ± 0.11265 | 0.60194 ± 0.08960 | 0.46416 ± 0.03948 |
| | | | | |
0.57 | 0.44339 ± 0.00751 | 0.44268 ± 0.0069 | 0.44485 ± 0.00868 | 0.44525 ± 0.00901 | 0.44481 ± 0.0069 |
0.61 | 0.44326 ± 0.00879 | 0.44267 ± 0.0069 | 0.44431 ± 0.00840 | 0.44217 ± 0.00600 | 0.44447 ± 0.0098 |
0.65 | 0.44159 ± 0.00586 | 0.44208 ± 0.0067 | 0.44129 ± 0.00605 | 0.44161 ± 0.00803 | 0.44404 ± 0.0079 |
0.69 | 0.44158 ± 0.00441 | 0.44146 ± 0.0059 | 0.44002 ± 0.00434 | 0.44189 ± 0.01391 | 0.44150 ± 0.0051 |
0.73 | 0.50101 ± 0.06959 | 0.44738 ± 0.01114 | 0.44264 ± 0.01486 | 0.44507 ± 0.01224 | 0.44012 ± 0.0039 |
Table 2.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
Table 2.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
| | | | | |
---|
0.57 | 0.05529 ± 0.00187 | 0.05586 ± 0.00264 | 0.05570 ± 0.00275 | 0.05515 ± 0.00168 | 0.05489 ± 0.00151 |
0.61 | 0.05513 ± 0.00141 | 0.05508 ± 0.00186 | 0.05422 ± 0.00043 | 0.05443 ± 0.00074 | 0.05409 ± 0.00015 |
0.65 | 0.05460 ± 0.00096 | 0.05437 ± 0.00162 | 0.05410 ± 0.00023 | 0.05436 ± 0.00161 | 0.05422 ± 0.00026 |
0.69 | 0.05418 ± 0.00043 | 0.05412 ± 0.00022 | 0.05824 ± 0.00727 | 0.05492 ± 0.00269 | 0.06171 ± 0.00799 |
0.73 | 0.05411 ± 0.00028 | 0.05554 ± 0.00318 | 0.07709 ± 0.01397 | 0.05954 ± 0.00644 | 0.08721 ± 0.01525 |
| | | | | |
0.57 | 0.05456 ± 0.00107 | 0.05507 ± 0.00195 | 0.05511 ± 0.00131 | 0.05555 ± 0.00225 | 0.05589 ± 0.00293 |
0.61 | 0.05432 ± 0.00161 | 0.05469 ± 0.00175 | 0.05475 ± 0.0011 | 0.05485 ± 0.00139 | 0.05495 ± 0.00131 |
0.65 | 0.05573 ± 0.00338 | 0.05418 ± 0.00036 | 0.05471 ± 0.0018 | 0.05462 ± 0.00123 | 0.05463 ± 0.00096 |
0.69 | 0.07252 ± 0.01461 | 0.05500 ± 0.00131 | 0.05415 ± 0.0003 | 0.05442 ± 0.00163 | 0.05437 ± 0.00161 |
0.73 | 0.09237 ± 0.02132 | 0.06873 ± 0.01340 | 0.05477 ± 0.0008 | 0.05421 ± 0.00038 | 0.05431 ± 0.00063 |
| | | | | |
0.57 | 0.05559 ± 0.00264 | 0.05511 ± 0.00114 | 0.05535 ± 0.00218 | 0.05521 ± 0.00160 | 0.05518 ± 0.00173 |
0.61 | 0.05496 ± 0.00187 | 0.05518 ± 0.00189 | 0.05499 ± 0.00196 | 0.05476 ± 0.00193 | 0.05428 ± 0.00061 |
0.65 | 0.05509 ± 0.00308 | 0.05444 ± 0.00178 | 0.05419 ± 0.00038 | 0.05497 ± 0.00309 | 0.05483 ± 0.00269 |
0.69 | 0.05447 ± 0.00074 | 0.05435 ± 0.00160 | 0.05462 ± 0.00224 | 0.05470 ± 0.00076 | 0.05876 ± 0.00712 |
0.73 | 0.06186 ± 0.00892 | 0.05471 ± 0.00149 | 0.05669 ± 0.00412 | 0.06832 ± 0.01121 | 0.08204 ± 0.01479 |
0.57 | 0.05493 ± 0.00133 | 0.05517 ± 0.00193 | 0.05460 ± 0.00099 | 0.05478 ± 0.00183 | 0.05487 ± 0.0011 |
0.61 | 0.05428 ± 0.00053 | 0.05419 ± 0.00034 | 0.05481 ± 0.00269 | 0.05445 ± 0.00107 | 0.05440 ± 0.0008 |
0.65 | 0.05435 ± 0.00158 | 0.05448 ± 0.00162 | 0.05468 ± 0.00163 | 0.05426 ± 0.00039 | 0.05429 ± 0.0006 |
0.69 | 0.05587 ± 0.00439 | 0.05646 ± 0.00377 | 0.06490 ± 0.00903 | 0.05964 ± 0.00694 | 0.05454 ± 0.0016 |
0.73 | 0.07375 ± 0.01268 | 0.07905 ± 0.01679 | 0.09397 ± 0.01939 | 0.08506 ± 0.01829 | 0.05756 ± 0.00459 |
| | | | | |
0.57 | 0.05521 ± 0.00193 | 0.05549 ± 0.00198 | 0.05533 ± 0.00242 | 0.05563 ± 0.00207 | 0.05609 ± 0.00289 |
0.61 | 0.05442 ± 0.00075 | 0.05446 ± 0.00066 | 0.05479 ± 0.0012 | 0.05501 ± 0.00192 | 0.05559 ± 0.00257 |
0.65 | 0.05409 ± 0.00018 | 0.05417 ± 0.00033 | 0.05439 ± 0.0007 | 0.05425 ± 0.00044 | 0.05445 ± 0.00090 |
0.69 | 0.05439 ± 0.00053 | 0.05419 ± 0.00032 | 0.05416 ± 0.0004 | 0.05459 ± 0.00222 | 0.05412 ± 0.00027 |
0.73 | 0.06403 ± 0.01104 | 0.05679 ± 0.00633 | 0.05431 ± 0.0005 | 0.05513 ± 0.00217 | 0.05439 ± 0.00160 |
Table 3.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
Table 3.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
| | | | | |
---|
0.57 | 0.01054 ± 0.00109 | 0.01014 ± 0.00096 | 0.01048 ± 0.00128 | 0.00999 ± 0.00101 | 0.01031 ± 0.00132 |
0.61 | 0.01046 ± 0.00139 | 0.00997 ± 0.00114 | 0.01002 ± 0.00118 | 0.00970 ± 0.00105 | 0.00977 ± 0.00115 |
0.65 | 0.01000 ± 0.00092 | 0.00983 ± 0.00109 | 0.01006 ± 0.00090 | 0.00978 ± 0.00107 | 0.01034 ± 0.00136 |
0.69 | 0.00978 ± 0.00109 | 0.00967 ± 0.00129 | 0.01367 ± 0.00287 | 0.01081 ± 0.00206 | 0.01677 ± 0.00382 |
0.73 | 0.00993 ± 0.00102 | 0.01417 ± 0.00373 | 0.02092 ± 0.00360 | 0.01694 ± 0.00395 | 0.02359 ± 0.00474 |
| | | | | |
0.57 | 0.00990 ± 0.00115 | 0.01012 ± 0.00149 | 0.01019 ± 0.00095 | 0.01034 ± 0.00099 | 0.01032 ± 0.00139 |
0.61 | 0.00960 ± 0.00082 | 0.00989 ± 0.00119 | 0.01013 ± 0.0012 | 0.01026 ± 0.00105 | 0.01009 ± 0.00139 |
0.65 | 0.01234 ± 0.00258 | 0.00983 ± 0.00092 | 0.00960 ± 0.0009 | 0.00985 ± 0.0011 | 0.00992 ± 0.00096 |
0.69 | 0.01908 ± 0.00399 | 0.01227 ± 0.00244 | 0.00954 ± 0.0008 | 0.00995 ± 0.0012 | 0.00956 ± 0.00104 |
0.73 | 0.02447 ± 0.00545 | 0.02009 ± 0.00495 | 0.01243 ± 0.00285 | 0.00986 ± 0.0008 | 0.01041 ± 0.00160 |
| | | | | |
0.57 | 0.01049 ± 0.00124 | 0.01048 ± 0.00150 | 0.01009 ± 0.00106 | 0.01025 ± 0.00138 | 0.01002 ± 0.00107 |
0.61 | 0.00993 ± 0.00104 | 0.01016 ± 0.00101 | 0.01007 ± 0.00101 | 0.00986 ± 0.00129 | 0.00986 ± 0.00129 |
0.65 | 0.00990 ± 0.00106 | 0.00965 ± 0.00083 | 0.00985 ± 0.00127 | 0.00978 ± 0.00122 | 0.01038 ± 0.00162 |
0.69 | 0.01073 ± 0.00159 | 0.00954 ± 0.00097 | 0.00975 ± 0.00092 | 0.01229 ± 0.00262 | 0.01514 ± 0.00371 |
0.73 | 0.01749 ± 0.00491 | 0.01114 ± 0.00218 | 0.01614 ± 0.00456 | 0.01933 ± 0.00450 | 0.02248 ± 0.00508 |
| | | | | |
0.57 | 0.01017 ± 0.00109 | 0.01016 ± 0.00111 | 0.01018 ± 0.00115 | 0.00988 ± 0.00112 | 0.01009 ± 0.0010 |
0.61 | 0.00976 ± 0.00102 | 0.00981 ± 0.00109 | 0.00959 ± 0.00092 | 0.00948 ± 0.00085 | 0.00978 ± 0.0011 |
0.65 | 0.00996 ± 0.00116 | 0.01002 ± 0.00095 | 0.01141 ± 0.00198 | 0.01079 ± 0.00181 | 0.00959 ± 0.0009 |
0.69 | 0.01255 ± 0.00250 | 0.01424 ± 0.00355 | 0.01795 ± 0.00421 | 0.01615 ± 0.00384 | 0.01027 ± 0.00119 |
0.73 | 0.02044 ± 0.00514 | 0.02101 ± 0.00434 | 0.02369 ± 0.00486 | 0.02190 ± 0.00482 | 0.01581 ± 0.00469 |
| | | | | |
0.57 | 0.01030 ± 0.00092 | 0.01015 ± 0.00136 | 0.01029 ± 0.00108 | 0.01029 ± 0.00118 | 0.01061 ± 0.00116 |
0.61 | 0.00991 ± 0.00085 | 0.00970 ± 0.00083 | 0.00983 ± 0.00117 | 0.01038 ± 0.00135 | 0.01001 ± 0.00091 |
0.65 | 0.00961 ± 0.00100 | 0.00961 ± 0.00091 | 0.00961 ± 0.00096 | 0.00979 ± 0.00108 | 0.00989 ± 0.00107 |
0.69 | 0.01127 ± 0.00209 | 0.00963 ± 0.00092 | 0.00973 ± 0.00092 | 0.00958 ± 0.00113 | 0.00950 ± 0.00101 |
0.73 | 0.01746 ± 0.00515 | 0.01386 ± 0.00279 | 0.01075 ± 0.00211 | 0.01209 ± 0.00271 | 0.01008 ± 0.00094 |
Table 4.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
Table 4.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
| | | | | |
---|
0.57 | 1.59037 ± 0.24984 | 1.62977 ± 0.23772 | 1.60976 ± 0.21587 | 1.57976 ± 0.22699 | 1.59274 ± 0.19044 |
0.61 | 1.57176 ± 0.25262 | 1.64725 ± 0.22590 | 1.58791 ± 0.24802 | 1.56674 ± 0.24249 | 1.55923 ± 0.18462 |
0.65 | 1.62446 ± 0.23553 | 1.58594 ± 0.24937 | 1.55904 ± 0.21288 | 1.56094 ± 0.22623 | 1.56596 ± 0.18687 |
0.69 | 1.59593 ± 0.28093 | 1.57662 ± 0.22099 | 1.62292 ± 0.23394 | 1.53793 ± 0.20723 | 1.82780 ± 0.48461 |
0.73 | 1.54296 ± 0.18417 | 1.62974 ± 0.40005 | 2.18634 ± 0.67657 | 1.86329 ± 0.53715 | 2.81114 ± 0.71643 |
| | | | | |
0.57 | 1.54953 ± 0.18691 | 1.56018 ± 0.23274 | 1.54420 ± 0.2148 | 1.59272 ± 0.22315 | 1.56309 ± 0.19567 |
0.61 | 1.60100 ± 0.24606 | 1.58447 ± 0.23445 | 1.52752 ± 0.1661 | 1.54771 ± 0.22381 | 1.64471 ± 0.23448 |
0.65 | 1.58873 ± 0.19722 | 1.56955 ± 0.19748 | 1.53435 ± 0.1962 | 1.55929 ± 0.20766 | 1.62295 ± 0.23805 |
0.69 | 2.11355 ± 0.62874 | 1.57120 ± 0.21650 | 1.58346 ± 0.2232 | 1.57702 ± 0.22283 | 1.54543 ± 0.21958 |
0.73 | 3.08575 ± 0.76636 | 2.12823 ± 0.63962 | 1.61309 ± 0.30878 | 1.55072 ± 0.19665 | 1.54910 ± 0.19549 |
| | | | | |
0.57 | 1.56249 ± 0.26237 | 1.58887 ± 0.19827 | 1.53361 ± 0.19833 | 1.63057 ± 0.23101 | 1.64117 ± 0.25050 |
0.61 | 1.64186 ± 0.25542 | 1.62414 ± 0.28323 | 1.60212 ± 0.20032 | 1.55226 ± 0.18392 | 1.62043 ± 0.20008 |
0.65 | 1.58061 ± 0.25445 | 1.56751 ± 0.20445 | 1.54011 ± 0.18398 | 1.52378 ± 0.19117 | 1.60934 ± 0.23505 |
0.69 | 1.64619 ± 0.24111 | 1.58701 ± 0.23610 | 1.55877 ± 0.20568 | 1.59617 ± 0.21269 | 1.77919 ± 0.50372 |
0.73 | 1.83898 ± 0.41817 | 1.57396 ± 0.22158 | 1.75303 ± 0.48211 | 1.98592 ± 0.62888 | 2.55976 ± 0.88166 |
| | | | | |
0.57 | 1.62477 ± 0.23632 | 1.59425 ± 0.23888 | 1.64423 ± 0.23898 | 1.59602 ± 0.19285 | 1.56970 ± 0.20420 |
0.61 | 1.62939 ± 0.22346 | 1.62814 ± 0.25448 | 1.59375 ± 0.22899 | 1.58834 ± 0.21454 | 1.53290 ± 0.19722 |
0.65 | 1.54596 ± 0.20629 | 1.52123 ± 0.20487 | 1.53762 ± 0.20138 | 1.54952 ± 0.22325 | 1.56256 ± 0.20221 |
0.69 | 1.58287 ± 0.25216 | 1.56052 ± 0.17442 | 2.02994 ± 0.68198 | 1.69919 ± 0.28745 | 1.49550 ± 0.16993 |
0.73 | 2.13561 ± 0.58176 | 2.44483 ± 0.84383 | 2.83623 ± 0.75432 | 2.79640 ± 0.76496 | 1.81328 ± 0.57589 |
| | | | | |
0.57 | 1.55519 ± 0.19483 | 1.54445 ± 0.1999 | 1.59542 ± 0.24518 | 1.61905 ± 0.24451 | 1.619185 ± 0.2652 |
0.61 | 1.57253 ± 0.24238 | 1.56136 ± 0.1877 | 1.55255 ± 0.21057 | 1.58888 ± 0.20543 | 1.56638 ± 0.1918 |
0.65 | 1.58877 ± 0.20531 | 1.52698 ± 0.1733 | 1.59913 ± 0.21885 | 1.58028 ± 0.23733 | 1.56697 ± 0.2314 |
0.69 | 1.57858 ± 0.23933 | 1.53281 ± 0.2015 | 1.49796 ± 0.19331 | 1.52631 ± 0.20260 | 1.56326 ± 0.2191 |
0.73 | 1.86237 ± 0.55692 | 1.61428 ± 0.22193 | 1.55055 ± 0.20346 | 1.53991 ± 0.20199 | 1.57203 ± 0.20965 |
Table 5.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
Table 5.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
| | | | | |
---|
0.57 | 0.22428 ± 0.04796 | 0.22339 ± 0.04519 | 0.23525 ± 0.05531 | 0.22591 ± 0.04513 | 0.22228 ± 0.04359 |
0.61 | 0.22588 ± 0.04931 | 0.22616 ± 0.04679 | 0.24263 ± 0.04674 | 0.21206 ± 0.03926 | 0.21532 ± 0.03998 |
0.65 | 0.21930 ± 0.04664 | 0.22361 ± 0.05068 | 0.23316 ± 0.04788 | 0.22258 ± 0.04518 | 0.22230 ± 0.04847 |
0.69 | 0.22161 ± 0.04589 | 0.22314 ± 0.04748 | 0.22553 ± 0.04635 | 0.23269 ± 0.04760 | 0.26191 ± 0.06652 |
0.73 | 0.22129 ± 0.04425 | 0.22577 ± 0.04872 | 0.35671 ± 0.11336 | 0.24843 ± 0.07165 | 0.40197 ± 0.10584 |
| | | | | |
0.57 | 0.21494 ± 0.04212 | 0.22804 ± 0.05293 | 0.21972 ± 0.0456 | 0.22398 ± 0.04644 | 0.22409 ± 0.04693 |
0.61 | 0.22228 ± 0.04269 | 0.22473 ± 0.05040 | 0.22697 ± 0.0477 | 0.22819 ± 0.04674 | 0.22183 ± 0.04719 |
0.65 | 0.21996 ± 0.04131 | 0.21865 ± 0.04135 | 0.21537 ± 0.0394 | 0.22257 ± 0.04993 | 0.22894 ± 0.04954 |
0.69 | 0.30814 ± 0.09305 | 0.22586 ± 0.04540 | 0.20867 ± 0.0379 | 0.21307 ± 0.03884 | 0.22351 ± 0.04718 |
0.73 | 0.47047 ± 0.08969 | 0.30696 ± 0.08766 | 0.22502 ± 0.05328 | 0.20869 ± 0.03358 | 0.22016 ± 0.04894 |
0.57 | 0.23748 ± 0.05018 | 0.22955 ± 0.04986 | 0.22928 ± 0.05013 | 0.24323 ± 0.04934 | 0.23398 ± 0.04834 |
0.61 | 0.23593 ± 0.05504 | 0.23270 ± 0.05155 | 0.22148 ± 0.04521 | 0.23444 ± 0.04959 | 0.24798 ± 0.05103 |
0.65 | 0.21569 ± 0.04623 | 0.23239 ± 0.04840 | 0.22238 ± 0.04693 | 0.22163 ± 0.04204 | 0.21798 ± 0.04421 |
0.69 | 0.23198 ± 0.04504 | 0.23036 ± 0.04744 | 0.23554 ± 0.04707 | 0.22059 ± 0.05076 | 0.25991 ± 0.07731 |
0.73 | 0.26495 ± 0.08492 | 0.23875 ± 0.05508 | 0.24165 ± 0.06436 | 0.30658 ± 0.10267 | 0.34796 ± 0.11848 |
| | | | | |
0.57 | 0.23759 ± 0.05529 | 0.22647 ± 0.04859 | 0.23110 ± 0.04822 | 0.21771 ± 0.03847 | 0.22337 ± 0.04781 |
0.61 | 0.23447 ± 0.05261 | 0.21992 ± 0.04422 | 0.21165 ± 0.04038 | 0.22259 ± 0.04845 | 0.21999 ± 0.0426 |
0.65 | 0.22119 ± 0.04488 | 0.21702 ± 0.04438 | 0.22111 ± 0.04777 | 0.21502 ± 0.04317 | 0.20878 ± 0.0381 |
0.69 | 0.22634 ± 0.04375 | 0.24130 ± 0.06648 | 0.29621 ± 0.09594 | 0.26973 ± 0.07975 | 0.22204 ± 0.0504 |
0.73 | 0.29735 ± 0.08863 | 0.37698 ± 0.11345 | 0.44674 ± 0.14117 | 0.42936 ± 0.14449 | 0.27860 ± 0.09009 |
| | | | | |
0.57 | 0.23532 ± 0.04658 | 0.23531 ± 0.04888 | 0.22888 ± 0.04673 | 0.22384 ± 0.04304 | 0.22043 ± 0.04402 |
0.61 | 0.22432 ± 0.04966 | 0.21942 ± 0.04624 | 0.21421 ± 0.0417 | 0.22569 ± 0.04689 | 0.22739 ± 0.04739 |
0.65 | 0.21499 ± 0.03993 | 0.21576 ± 0.04011 | 0.20710 ± 0.0357 | 0.21864 ± 0.04639 | 0.21948 ± 0.05028 |
0.69 | 0.22334 ± 0.04574 | 0.20707 ± 0.03682 | 0.21833 ± 0.0420 | 0.22015 ± 0.04512 | 0.21713 ± 0.04304 |
0.73 | 0.28392 ± 0.09143 | 0.23115 ± 0.06359 | 0.21731 ± 0.0458 | 0.22633 ± 0.05611 | 0.21560 ± 0.04133 |
Table 6.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
Table 6.
The values of mean and standard deviation of obtained using PSO with for 50 calculations with the metric .
| | | | | |
---|
0.57 | 0.05884 ± 0.01919 | 0.05521 ± 0.01975 | 0.06012 ± 0.02065 | 0.05911 ± 0.02112 | 0.05146 ± 0.01865 |
0.61 | 0.05671 ± 0.01967 | 0.05254 ± 0.01905 | 0.05957 ± 0.02184 | 0.05166 ± 0.01809 | 0.05355 ± 0.01981 |
0.65 | 0.05706 ± 0.02057 | 0.05382 ± 0.01959 | 0.05499 ± 0.02002 | 0.05379 ± 0.02009 | 0.05977 ± 0.01951 |
0.69 | 0.05141 ± 0.01956 | 0.05742 ± 0.02228 | 0.07635 ± 0.02211 | 0.05969 ± 0.02245 | 0.09168 ± 0.02804 |
0.73 | 0.05623 ± 0.02020 | 0.07677 ± 0.03276 | 0.10688 ± 0.02519 | 0.08755 ± 0.02855 | 0.11951 ± 0.02804 |
| | | | | |
0.57 | 0.05688 ± 0.02054 | 0.05567 ± 0.02012 | 0.05074 ± 0.0161 | 0.05686 ± 0.01921 | 0.05817 ± 0.01892 |
0.61 | 0.05426 ± 0.01928 | 0.05532 ± 0.02062 | 0.04914 ± 0.0162 | 0.05955 ± 0.02080 | 0.05128 ± 0.01757 |
0.65 | 0.06146 ± 0.01945 | 0.05346 ± 0.01897 | 0.05201 ± 0.0195 | 0.05321 ± 0.0195 | 0.05467 ± 0.01963 |
0.69 | 0.11293 ± 0.03684 | 0.06863 ± 0.02501 | 0.05464 ± 0.0207 | 0.04997 ± 0.0183 | 0.05359 ± 0.02032 |
0.73 | 0.13540 ± 0.03379 | 0.11486 ± 0.02767 | 0.06863 ± 0.02962 | 0.05769 ± 0.02018 | 0.05972 ± 0.02053 |
| | | | | |
0.57 | 0.05581 ± 0.01955 | 0.05344 ± 0.01804 | 0.05749 ± 0.02033 | 0.05290 ± 0.01914 | 0.06272 ± 0.02081 |
0.61 | 0.05822 ± 0.02049 | 0.05653 ± 0.01924 | 0.05368 ± 0.02003 | 0.05748 ± 0.02183 | 0.05149 ± 0.01913 |
0.65 | 0.05626 ± 0.02037 | 0.05522 ± 0.02034 | 0.06168 ± 0.02261 | 0.05604 ± 0.02044 | 0.05319 ± 0.01736 |
0.69 | 0.06797 ± 0.02293 | 0.05133 ± 0.01934 | 0.06178 ± 0.02204 | 0.06414 ± 0.01960 | 0.07969 ± 0.02570 |
0.73 | 0.10082 ± 0.02886 | 0.06129 ± 0.02273 | 0.08309 ± 0.02806 | 0.09859 ± 0.02905 | 0.11416 ± 0.02832 |
| | | | | |
0.57 | 0.05549 ± 0.02101 | 0.05338 ± 0.01915 | 0.05483 ± 0.01977 | 0.05722 ± 0.02035 | 0.04985 ± 0.0158 |
0.61 | 0.05290 ± 0.01891 | 0.05442 ± 0.01984 | 0.06215 ± 0.02202 | 0.04994 ± 0.01849 | 0.04707 ± 0.0154 |
0.65 | 0.05358 ± 0.02055 | 0.05709 ± 0.01980 | 0.06311 ± 0.02427 | 0.05655 ± 0.02084 | 0.05245 ± 0.0193 |
0.69 | 0.06777 ± 0.02369 | 0.07196 ± 0.02419 | 0.09635 ± 0.03088 | 0.09084 ± 0.03178 | 0.06001 ± 0.02202 |
0.73 | 0.10526 ± 0.02582 | 0.12179 ± 0.03535 | 0.13492 ± 0.03662 | 0.12453 ± 0.02500 | 0.08574 ± 0.03117 |
| | | | | |
0.57 | 0.05076 ± 0.01727 | 0.05409 ± 0.01944 | 0.05397 ± 0.01721 | 0.05533 ± 0.01930 | 0.05563 ± 0.01850 |
0.61 | 0.05474 ± 0.02024 | 0.05110 ± 0.01923 | 0.06233 ± 0.02204 | 0.05738 ± 0.02083 | 0.05443 ± 0.01899 |
0.65 | 0.04912 ± 0.01728 | 0.05445 ± 0.01901 | 0.05134 ± 0.01895 | 0.05179 ± 0.01984 | 0.05044 ± 0.01751 |
0.69 | 0.06082 ± 0.02158 | 0.06154 ± 0.02321 | 0.06005 ± 0.02155 | 0.05431 ± 0.02025 | 0.05259 ± 0.01889 |
0.73 | 0.10637 ± 0.02870 | 0.07115 ± 0.02986 | 0.06023 ± 0.02386 | 0.06961 ± 0.02684 | 0.05855 ± 0.02179 |
Table 7.
Computing time in seconds.
Table 7.
Computing time in seconds.
| | | | | |
---|
| | 1.232 | 1.408 | 1.951 | 2.719 |
| | 1.677 | 1.876 | 2.417 | 3.187 |
| | 2.212 | 2.361 | 2.989 | 3.779 |
| | 3.881 | 4.172 | 4.993 | 5.843 |
| | 1.357 | 1.515 | 2.058 | 2.869 |
| | 1.793 | 1.998 | 2.562 | 3.414 |
| | 2.295 | 2.515 | 3.179 | 4.034 |
| | 3.953 | 4.445 | 5.539 | 6.256 |
| | 1.628 | 1.832 | 2.429 | 3.208 |
| | 2.274 | 2.473 | 3.095 | 3.892 |
| | 2.975 | 3.225 | 3.917 | 4.755 |
| | 5.169 | 5.677 | 6.626 | 7.616 |
| | 1.390 | 1.604 | 2.122 | 2.789 |
| | 1.911 | 2.147 | 2.689 | 3.392 |
| | 2.499 | 2.777 | 3.340 | 4.093 |
| | 4.357 | 4.898 | 5.650 | 6.559 |
| | 1.342 | 1.519 | 2.083 | 2.894 |
| | 1.778 | 2.026 | 2.613 | 3.444 |
| | 2.335 | 2.576 | 3.209 | 4.076 |
| | 4.002 | 4.474 | 5.427 | 6.377 |
Table 8.
Computing time in seconds.
Table 8.
Computing time in seconds.
| 10 Iterations | 100 Iterations | 1000 Iterations | 10,000 Iterations |
---|
Example 1 | 0.35 | 2.11 | 24.59 | 317.12 |
Example 2 | 2.12 | 158.42 | 17,457.49 | over 5 h |
Example 3 | 0.62 | 5.26 | 66.99 | 794.6 |
Example 4 | 2.83 | 147.44 | 16,552.96 | over 5 h |
Table 9.
The distances (Euclidean, Manhattan) between the testing algorithm and the proposed algorithm for .
Table 9.
The distances (Euclidean, Manhattan) between the testing algorithm and the proposed algorithm for .
| Run 1 | Run 2 | Run 3 | Run 4 | Run 5 |
---|
1.it | 0.8919, 5.1155 | 1.566, 11.4928 | 1.5653, 11.4085 | 1.5659, 11.5735 | 1.0103, 7.0495 |
2.it | 1.0983, 5.7121 | 1.963, 12.2853 | 1.9607, 12.1007 | 1.9627, 12.4276 | 1.2682, 7.6393 |
3.it | 1.0682, 5.6671 | 1.8581, 10.3098 | 1.8528, 10.0456 | 1.8575, 10.5338 | 1.2167, 7.2449 |
4.it | 1.0705, 6.207 | 1.697, 9.2699 | 1.7696, 9.4782 | 1.6962, 9.5903 | 1.2425, 7.7789 |
5.it | 0.9993, 6.6038 | 1.5301, 8.7346 | 1.5138, 8.3465 | 1.5295, 9.1549 | 1.0583, 7.59 |
6.it | 0.8675, 6.8625 | 1.3713, 8.5283 | 1.3462, 8.0865 | 1.3712, 9.0421 | 0.946, 7.9534 |
7.it | 0.6659, 7.0358 | 1.2889, 8.7891 | 1.2542, 8.3194 | 1.2901, 9.4107 | 0.9829, 8.7625 |
8.it | 0.6933, 7.7999 | 1.1768, 8.9707 | 1.1293, 8.5039 | 1.1801, 9.7274 | 1.0224, 9.688 |
9.it | 0.7192, 8.5805 | 1.0354, 9.0945 | 0.9697, 8.6472 | 1.0425, 9.9978 | 0.8383, 9.8451 |
10.it | 0.7436, 9.3818 | 1.2491, 10.4618 | 1.1856, 10.0458 | 1.2586, 11.5175 | 1.0863, 11.389 |
11.it | 0.7678, 10.1832 | 1.1043, 10.5292 | 1.0207, 10.1579 | 1.12, 11.741 | 0.9025, 11.5197 |
12.it | 0.7914, 10.9849 | 1.1364, 11.2221 | 1.0444, 10.9133 | 1.1576, 12.5993 | 0.9294, 12.2951 |
13.it | 0.815, 11.7803 | 0.9626, 11.235 | 0.8387, 11.0108 | 0.9958, 12.793 | 0.9661, 13.2032 |
14.it | 0.8383, 12.5751 | 0.9962, 11.8828 | 0.8642, 11.7657 | 1.0374, 13.6378 | 0.9929, 13.9848 |
15.it | 0.8614, 13.3641 | 1.0289, 12.5086 | 0.8896, 12.523 | 1.0789, 14.4797 | 1.0293, 14.9047 |
16.it | 0.8844, 14.1493 | 1.0606, 13.1153 | 0.9146, 13.2817 | 1.12, 15.3187 | 1.0557, 15.6904 |
17.it | 0.609, 14.2639 | 1.0917, 13.7037 | 0.9395, 14.0371 | 1.161, 16.1522 | 0.8597, 15.9405 |
18.it | 0.6414, 15.0579 | 1.1216, 14.2828 | 0.9633, 14.7924 | 1.201, 16.9827 | 0.8908, 16.7227 |
19.it | 0.674, 15.8522 | 0.9309, 14.1761 | 0.718, 14.8648 | 1.0399, 17.1336 | 0.9214, 17.4992 |
20.it | 0.707, 16.6491 | 1.1796, 15.4016 | 1.0094, 16.2746 | 1.2798, 18.6267 | 0.9629, 18.4067 |
21.it | 0.7403, 17.4479 | 0.9981, 15.2692 | 0.7761, 16.3257 | 1.1295, 18.7622 | 0.9914, 19.1622 |
22.it | 0.7744, 18.2657 | 1.0302, 15.8061 | 0.8041, 17.0482 | 1.1724, 19.5691 | 1.0305, 20.0508 |
23.it | 0.8092, 19.0897 | 1.0613, 16.3339 | 0.8318, 17.7678 | 1.214, 20.3694 | 1.0567, 20.7841 |
24.it | 0.8448, 19.9349 | 1.2875, 17.5359 | 1.0976, 19.1672 | 1.428, 21.8433 | 1.094, 21.6593 |
25.it | 0.881, 20.7703 | 1.1208, 17.3695 | 0.8869, 19.2024 | 1.2929, 21.9435 | 1.1189, 22.3747 |
Table 10.
The distances (Euclidean, Manhattan) between the testing algorithm and the proposed algorithm for .
Table 10.
The distances (Euclidean, Manhattan) between the testing algorithm and the proposed algorithm for .
| Run 1 | Run 2 | Run 3 | Run 4 | Run 5 |
---|
1.it | 1.5642, 10.4592 | 0.8908, 4.2392 | 0.8912, 4.4135 | 1.2241, 6.9286 | 0.9287, 4.7612 |
2.it | 1.9588, 10.7188 | 1.1626, 4.6363 | 1.0964, 4.439 | 1.5573, 7.3061 | 1.1633, 4.6546 |
3.it | 1.8489, 8.2665 | 1.0623, 3.7226 | 1.0645, 3.9701 | 1.5058, 6.0132 | 1.1641, 4.0716 |
4.it | 1.6798, 6.6697 | 1.0606, 3.7612 | 1.0644, 4.0904 | 1.4042, 5.246 | 1.0603, 3.5433 |
5.it | 1.5013, 5.6034 | 0.9832, 3.6547 | 0.9895, 4.0835 | 1.2691, 4.6698 | 0.9827, 3.3467 |
6.it | 1.3264, 4.8673 | 0.8415, 3.4435 | 0.8517, 3.9723 | 1.1876, 4.5088 | 0.8405, 3.0633 |
7.it | 1.2255, 4.625 | 0.62, 3.1822 | 0.638, 3.8011 | 0.8711, 3.6628 | 0.8685, 3.3129 |
8.it | 1.0879, 4.3399 | 0.6365, 3.509 | 0.6584, 4.2093 | 0.8929, 3.9885 | 0.8895, 3.5422 |
9.it | 0.9088, 4.0241 | 0.6506, 3.8275 | 0.6763, 4.6053 | 0.911, 4.3057 | 0.6472, 3.1277 |
10.it | 1.1254, 4.9738 | 0.6623, 4.1451 | 0.6918, 4.9916 | 0.9254, 4.6219 | 0.9201, 3.9785 |
11.it | 0.9359, 4.6423 | 0.6733, 4.4663 | 0.7063, 5.3718 | 0.6763, 4.293 | 0.6675, 3.5389 |
12.it | 0.9466, 4.9566 | 0.6833, 4.7987 | 0.7194, 5.7473 | 0.9495, 5.2703 | 0.6757, 3.7362 |
13.it | 0.6915, 4.6111 | 0.6934, 5.14 | 0.732, 6.1185 | 0.6961, 4.9436 | 0.6834, 3.9269 |
14.it | 0.6998, 4.9198 | 0.703, 5.4966 | 0.7438, 6.4878 | 0.7053, 5.279 | 0.6902, 4.113 |
15.it | 0.7077, 5.2263 | 0.7127, 5.8664 | 0.7552, 6.8555 | 0.7145, 5.6215 | 0.6967, 4.2953 |
16.it | 0.7152, 5.5327 | 0.7227, 6.249 | 0.7662, 7.2239 | 0.7237, 5.9727 | 0.7027, 4.4741 |
17.it | 0.7229, 5.8398 | 0.2902, 5.9704 | 0.3886, 6.9216 | 0.2908, 5.6591 | 0.2213, 3.9769 |
18.it | 0.7298, 6.1526 | 0.3115, 6.3742 | 0.4062, 7.293 | 0.31, 6.0275 | 0.2324, 4.1478 |
19.it | 0.2921, 5.7953 | 0.3333, 6.786 | 0.4234, 7.6654 | 0.3297, 6.4022 | 0.2433, 4.3126 |
20.it | 0.7446, 6.7901 | 0.355, 7.2022 | 0.4405, 8.0383 | 0.3498, 6.7842 | 0.2541, 4.4726 |
21.it | 0.3219, 6.4371 | 0.3769, 7.6243 | 0.4572, 8.4119 | 0.3702, 7.1717 | 0.2648, 4.6297 |
22.it | 0.3371, 6.7674 | 0.3986, 8.0527 | 0.4737, 8.7869 | 0.3909, 7.5698 | 0.2754, 4.7885 |
23.it | 0.3525, 7.1021 | 0.42, 8.4847 | 0.4898, 9.1612 | 0.4117, 7.9721 | 0.286, 4.9452 |
24.it | 0.7756, 8.1237 | 0.4408, 8.9201 | 0.5057, 9.5373 | 0.4325, 8.3832 | 0.2966, 5.1046 |
25.it | 0.3834, 7.7849 | 0.4611, 9.3534 | 0.5215, 9.9133 | 0.453, 8.7923 | 0.3071, 5.2582 |
Table 11.
The distances (Euclidean, Manhattan) between the testing and the proposed algorithm for .
Table 11.
The distances (Euclidean, Manhattan) between the testing and the proposed algorithm for .
| Run 1 | Run 2 | Run 3 | Run 4 | Run 5 |
---|
1.it | 0.9581, 4.164 | 0.9245, 3.9838 | 0.8896, 3.6624 | 0.8553, 3.8953 | 0.9259, 4.2064 |
2.it | 1.1620, 4.0212 | 1.1621, 4.2027 | 1.0947, 3.7035 | 1.0997, 4.7368 | 1.1634, 4.3623 |
3.it | 1.1632, 3.4836 | 1.1635, 3.7722 | 1.0614, 3.1262 | 1.0727, 4.6947 | 1.1658, 3.9224 |
4.it | 1.0589, 2.8857 | 1.0597, 3.2758 | 1.0591, 3.0348 | 1.0787, 5.1298 | 1.0640, 3.4514 |
5.it | 0.9805, 2.5967 | 0.9817, 3.0868 | 0.9807, 2.7742 | 1.0128, 5.3904 | 0.9889, 3.3021 |
6.it | 0.8370, 2.2123 | 0.8391, 2.8005 | 0.8374, 2.4034 | 0.8895, 5.5319 | 0.8510, 3.0571 |
7.it | 0.8641, 2.3681 | 0.6158, 2.4489 | 0.6127, 1.9762 | 0.7034, 5.6009 | 0.6374, 2.7494 |
8.it | 0.8841, 2.5122 | 0.8876, 3.2974 | 0.6273, 2.1294 | 0.7386, 6.2316 | 0.9069, 3.6503 |
9.it | 0.6381, 2.0106 | 0.6442, 2.8962 | 0.6392, 2.2797 | 0.7720, 6.8422 | 0.6769, 3.2981 |
10.it | 0.9124, 2.7679 | 0.9177, 3.7655 | 0.6484, 2.4325 | 0.8035, 7.4366 | 0.9459, 4.2058 |
11.it | 0.6547, 2.2352 | 0.6638, 3.3555 | 0.6566, 2.582 | 0.8343, 8.0102 | 0.7092, 3.8233 |
12.it | 0.6609, 2.344 | 0.6717, 3.5941 | 0.6631, 2.7297 | 0.5626, 7.9099 | 0.7239, 4.0827 |
13.it | 0.6665, 2.4516 | 0.6792, 3.8382 | 0.6692, 2.8766 | 0.8928, 9.0961 | 0.7384, 4.3415 |
14.it | 0.6711, 2.5577 | 0.6859, 4.0917 | 0.6743, 3.0270 | 0.9207, 9.6089 | 0.7522, 4.5992 |
15.it | 0.6751, 2.662 | 0.6924, 4.3556 | 0.6789, 3.1821 | 0.9479, 10.105 | 0.7659, 4.8562 |
16.it | 0.6786, 2.7652 | 0.6987, 4.6295 | 0.6832, 3.3433 | 0.7070, 9.9192 | 0.7793, 5.1142 |
17.it | 0.1092, 2.1953 | 0.2101, 4.2436 | 0.1389, 2.8395 | 0.7402, 10.3864 | 0.4188, 4.7006 |
18.it | 0.1143, 2.2967 | 0.2244, 4.54 | 0.1475, 3.0161 | 0.7725, 10.8465 | 0.4403, 4.9594 |
19.it | 0.1193, 2.3959 | 0.2394, 4.8484 | 0.1563, 3.199 | 0.8038, 11.298 | 0.4615, 5.2186 |
20.it | 0.1243, 2.4913 | 0.2550, 5.1663 | 0.1653, 3.3876 | 0.8343, 11.7414 | 0.4824, 5.4763 |
21.it | 0.1291, 2.5846 | 0.2711, 5.4949 | 0.1747, 3.584 | 0.8639, 12.1762 | 0.5029, 5.7325 |
22.it | 0.1340, 2.6804 | 0.2876, 5.8357 | 0.1845, 3.7945 | 0.8927, 12.6057 | 0.5231, 5.9887 |
23.it | 0.1390, 2.7771 | 0.3044, 6.1845 | 0.1948, 4.0166 | 0.9208, 13.0294 | 0.5430, 6.2452 |
24.it | 0.1442, 2.8775 | 0.3215, 6.5434 | 0.2057, 4.2559 | 0.9482, 13.447 | 0.5627, 6.5046 |
25.it | 0.1496, 2.978 | 0.3388, 6.908 | 0.2171, 4.5056 | 0.9747, 13.8553 | 0.5820, 6.7657 |
Table 12.
The distances (Euclidean, Manhattan) between the testing and the proposed algorithm in 2020 points for .
Table 12.
The distances (Euclidean, Manhattan) between the testing and the proposed algorithm in 2020 points for .
| Run 1 | Run 2 | Run 3 | Run 4 | Run 5 |
---|
1.it | 0.9581, 4.164 | 1.5653, 11.4085 | 0.8896, 3.6624 | 0.8553, 3.8953 | 0.9259, 4.2064 |
2.it | 1.1621, 4.1663 | 1.9612, 12.7846 | 1.0948, 3.8907 | 1.1009, 5.1424 | 1.1637, 4.5722 |
3.it | 1.1633, 3.8174 | 1.9757, 12.4359 | 1.0616, 3.5694 | 1.0773, 5.6598 | 1.1670, 4.4189 |
4.it | 1.1843, 3.9087 | 2.2011, 14.8196 | 1.1847, 4.283 | 1.2092, 7.105 | 1.1906, 4.6808 |
5.it | 0.9811, 3.3538 | 1.7223, 12.8369 | 0.9817, 3.7878 | 1.0309, 7.7422 | 0.9933, 4.344 |
6.it | 0.8382, 3.2151 | 1.6008, 13.6743 | 0.8392, 3.7529 | 0.9272, 8.9988 | 0.8616, 4.605 |
7.it | 0.8655, 3.5041 | 1.8712, 16.5554 | 0.6156, 3.4628 | 0.7572, 9.2505 | 0.6533, 4.349 |
8.it | 0.8860, 3.9035 | 1.7092, 17.2633 | 0.6315, 3.995 | 0.8170, 10.8973 | 0.9245, 5.7198 |
9.it | 0.9021, 4.2084 | 1.6292, 18.1477 | 0.9043, 5.0636 | 1.0604, 12.2797 | 0.9445, 5.9602 |
10.it | 0.9151, 4.4996 | 2.2977, 23.9888 | 0.6544, 4.8894 | 0.9081, 13.3456 | 0.9678, 6.5753 |
11.it | 0.6597, 4.2437 | 1.7037, 21.5917 | 0.6647, 5.5777 | 0.9572, 14.6087 | 0.7493, 6.578 |
12.it | 0.6669, 4.6091 | 1.6183, 23.3675 | 0.6721, 5.9713 | 0.7850, 15.9054 | 0.7757, 7.2886 |
13.it | 0.9431, 5.5407 | 1.6391, 24.0636 | 0.9479, 7.1016 | 1.2524, 18.1113 | 1.0361, 8.5428 |
14.it | 1.1587, 6.4636 | 1.7918, 25.41 | 1.1638, 8.2782 | 1.0868, 17.6525 | 1.2395, 9.4029 |
15.it | 1.3438, 7.6741 | 1.8359, 27.9844 | 1.1716, 8.7462 | 1.4963, 21.4299 | 1.4260, 10.8137 |
16.it | 0.6890, 6.0338 | 1.2867, 26.1661 | 0.6994, 7.8038 | 1.0118, 20.3395 | 0.8798, 10.0349 |
17.it | 0.1612, 5.5331 | 1.1384, 26.785 | 0.2044, 7.3743 | 1.0329, 20.8362 | 0.5516, 8.8711 |
18.it | 0.1703, 5.8584 | 1.7918, 30.7683 | 0.2178, 7.8088 | 1.0420, 20.8536 | 0.5699, 9.0907 |
19.it | 0.1775, 6.0815 | 0.9871, 28.0267 | 0.2277, 8.1142 | 1.1324, 22.483 | 0.6296, 10.1419 |
20.it | 0.1858, 6.3469 | 1.2572, 30.9921 | 0.2345, 8.3376 | 1.2104, 24.2562 | 0.6629, 10.7395 |
21.it | 0.1914, 6.5616 | 1.0957, 31.7035 | 0.2480, 8.7462 | 1.2284, 24.8786 | 0.6771, 10.793 |
22.it | 0.2033, 6.8999 | 1.1531, 33.7333 | 0.2534, 8.9109 | 1.2858, 26.0793 | 0.7062, 11.3334 |
23.it | 0.2064, 7.028 | 1.1959, 35.0461 | 0.2753, 9.4986 | 1.3534, 27.889 | 0.7339, 12.113 |
24.it | 0.2137, 7.1825 | 1.4009, 36.7751 | 0.2740, 9.4073 | 1.3634, 27.4815 | 0.7737, 12.2315 |
25.it | 0.2184, 7.3571 | 1.2388, 37.0353 | 0.2984, 10.0981 | 1.4508, 29.8616 | 0.7946, 12.9525 |