How to solve Killer SuDoku & Combination of numbers

How to solve

Here is sample page (solver) 6 22 24 18 Please observe the No_1 3x3box. 6 22 -> 6 22 17 The area which has overflowed this box is removed. The inside of the sum total of every row, every column and every box is 45. ( A reason is that the numbers from 1 to 9 enter. ) The sum total of two white portions is computed with 17. 45 - ( 6 + 22 ) = 17 A total of 18 and a total of 24 area were connected in white portions.

Please observe the No_4 3x3box. 5 5 30 13 -> 5 5 30 13 8 A total of 13 area has overflowed this box. The inside of the sum total of every row, every column and every box is 45. 5 5 30 13 The protruded portion was decided as 8. ( 5 + 5 + 30 + 13 ) - 45 = 8

Please observe a total of 3 and a total of 6 area The number of 1 and 2 are inputted into a total of 3 area. The number of 1 , 2 and 3 are inputted into a total of 6 area. The place which inputs 3 from two conditions is decided. 5 3 8 3 7 6 3

* Killer SuDoku solver

Combination of numbers

2 cells

3=12
4=13
5=14 23
6=15 24
7=16 25 34
8=17 26 35
9=18 27 36 45
10=19 28 37 46
11=29 38 47 56
12=39 48 57
13=49 58 67
14=59 68
15=69 78
16=79
17=89


3 cells

6=123
7=124
8=125 134
9=126 135 234
10=127 136 145 235
11=128 137 146 236 245
12=129 138 147 156 237 246 345
13=139 148 157 238 247 256 346
14=149 158 167 239 248 257 347 356
15=159 168 249 258 267 348 357 456
16=169 178 259 268 349 358 367 457
17=179 269 278 359 368 458 467
18=189 279 369 378 459 468 567
19=289 379 469 478 568
20=389 479 569 578
21=489 579 678
22=589 679
23=689
24=789


4 cells

10=1234
11=1235
12=1236 1245
13=1237 1246 1345
14=1238 1247 1256 1346 2345
15=1239 1248 1257 1347 1356 2346
16=1249 1258 1267 1348 1357 1456 2347 2356
17=1259 1268 1349 1358 1367 1457 2348 2357 2456
18=1269 1278 1359 1368 1458 1467 2349 2358 2367 2457 3456
19=1279 1369 1378 1459 1468 1567 2359 2368 2458 2467 3457
20=1289 1379 1469 1478 1568 2369 2378 2459 2468 2567 3458 3467
21=1389 1479 1569 1578 2379 2469 2478 2568 3459 3468 3567
22=1489 1579 1678 2389 2479 2569 2578 3469 3478 3568 4567
23=1589 1679 2489 2579 2678 3479 3569 3578 4568
24=1689 2589 2679 3489 3579 3678 4569 4578
25=1789 2689 3589 3679 4579 4678
26=2789 3689 4589 4679 5678
27=3789 4689 5679
28=4789 5689
29=5789
30=6789


5 cells

15=12345
16=12346
17=12347 12356
18=12348 12357 12456
19=12349 12358 12367 12457 13456
20=12359 12368 12458 12467 13457 23456
21=12369 12378 12459 12468 12567 13458 13467 23457
22=12379 12469 12478 12568 13459 13468 13567 23458 23467
23=12389 12479 12569 12578 13469 13478 13568 14567 23459 23468 23567
24=12489 12579 12678 13479 13569 13578 14568 23469 23478 23568 24567
25=12589 12679 13489 13579 13678 14569 14578 23479 23569 23578 24568 34567
26=12689 13589 13679 14579 14678 23489 23579 23678 24569 24578 34568
27=12789 13689 14589 14679 15678 23589 23679 24579 24678 34569 34578
28=13789 14689 15679 23689 24589 24679 25678 34579 34678
29=14789 15689 23789 24689 25679 34589 34679 35678
30=15789 24789 25689 34689 35679 45678
31=16789 25789 34789 35689 45679
32=26789 35789 45689
33=36789 45789
34=46789
35=56789


6 cells

21=123456
22=123457
23=123458 123467
24=123459 123468 123567
25=123469 123478 123568 124567
26=123479 123569 123578 124568 134567
27=123489 123579 123678 124569 124578 134568 234567
28=123589 123679 124579 124678 134569 134578 234568
29=123689 124589 124679 125678 134579 134678 234569 234578
30=123789 124689 125679 134589 134679 135678 234579 234678
31=124789 125689 134689 135679 145678 234589 234679 235678
32=125789 134789 135689 145679 234689 235679 245678
33=126789 135789 145689 234789 235689 245679 345678
34=136789 145789 235789 245689 345679
35=146789 236789 245789 345689
36=156789 246789 345789
37=256789 346789
38=356789
39=456789


7 cells

28=1234567
29=1234568
30=1234569 1234578
31=1234579 1234678
32=1234589 1234679 1235678
33=1234689 1235679 1245678
34=1234789 1235689 1245679 1345678
35=1235789 1245689 1345679 2345678
36=1236789 1245789 1345689 2345679
37=1246789 1345789 2345689
38=1256789 1346789 2345789
39=1356789 2346789
40=1456789 2356789
41=2456789
42=3456789


8 cells

36=12345678
37=12345679
38=12345689
39=12345789
40=12346789
41=12356789
42=12456789
43=13456789
44=23456789


9 cells

45=123456789

TOTAL　　 SUDOKU only