input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
621+143
Target:
| Input:
621+143
Target:
<scratch>
[6,2,1] has 3 digits.
[1,4,3] has 3 digits.
[6,2,1] + [1,4,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[6,2] + [1,4] , A=[4] , C=0 , 2+4+0=6 , A->6 , C->0
[6] + [1] , A=[6,4] , C=0 , 6+1+0=7 , A->7 , C->0
[] + [] , A=[7,6,4] C=0 , END
</scratch>
764
| 764 |
Input:
754+747
Target:
| Input:
754+747
Target:
<scratch>
[7,5,4] has 3 digits.
[7,4,7] has 3 digits.
[7,5,4] + [7,4,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[7,5] + [7,4] , A=[1] , C=1 , 5+4+1=10 , A->0 , C->1
[7] + [7] , A=[0,1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,0,1] C=1 , END
</scratch>
1501
| 1501 |
Input:
450+2
Target:
| Input:
450+2
Target:
<scratch>
[4,5,0] has 3 digits.
[2] has 1 digits.
[4,5,0] + [2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[4,5] + [] , A=[2] , C=0 , 5+0+0=5 , A->5 , C->0
[4] + [] , A=[5,2] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,5,2] C=0 , END
</scratch>
452
| 452 |
Input:
946+659
Target:
| Input:
946+659
Target:
<scratch>
[9,4,6] has 3 digits.
[6,5,9] has 3 digits.
[9,4,6] + [6,5,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,4] + [6,5] , A=[5] , C=1 , 4+5+1=10 , A->0 , C->1
[9] + [6] , A=[0,5] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,5] C=1 , END
</scratch>
1605
| 1605 |
Input:
567+222
Target:
| Input:
567+222
Target:
<scratch>
[5,6,7] has 3 digits.
[2,2,2] has 3 digits.
[5,6,7] + [2,2,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[5,6] + [2,2] , A=[9] , C=0 , 6+2+0=8 , A->8 , C->0
[5] + [2] , A=[8,9] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,9] C=0 , END
</scratch>
789
| 789 |
Input:
676+884
Target:
| Input:
676+884
Target:
<scratch>
[6,7,6] has 3 digits.
[8,8,4] has 3 digits.
[6,7,6] + [8,8,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,7] + [8,8] , A=[0] , C=1 , 7+8+1=16 , A->6 , C->1
[6] + [8] , A=[6,0] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,6,0] C=1 , END
</scratch>
1560
| 1560 |
Input:
332+211
Target:
| Input:
332+211
Target:
<scratch>
[3,3,2] has 3 digits.
[2,1,1] has 3 digits.
[3,3,2] + [2,1,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[3,3] + [2,1] , A=[3] , C=0 , 3+1+0=4 , A->4 , C->0
[3] + [2] , A=[4,3] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,4,3] C=0 , END
</scratch>
543
| 543 |
Input:
60+535
Target:
| Input:
60+535
Target:
<scratch>
[6,0] has 2 digits.
[5,3,5] has 3 digits.
[6,0] + [5,3,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[6] + [5,3] , A=[5] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [5] , A=[9,5] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,9,5] C=0 , END
</scratch>
595
| 595 |
Input:
683+738
Target:
| Input:
683+738
Target:
<scratch>
[6,8,3] has 3 digits.
[7,3,8] has 3 digits.
[6,8,3] + [7,3,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,8] + [7,3] , A=[1] , C=1 , 8+3+1=12 , A->2 , C->1
[6] + [7] , A=[2,1] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,2,1] C=1 , END
</scratch>
1421
| 1421 |
Input:
70+905
Target:
| Input:
70+905
Target:
<scratch>
[7,0] has 2 digits.
[9,0,5] has 3 digits.
[7,0] + [9,0,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[7] + [9,0] , A=[5] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [9] , A=[7,5] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,7,5] C=0 , END
</scratch>
975
| 975 |
Input:
300+82
Target:
| Input:
300+82
Target:
<scratch>
[3,0,0] has 3 digits.
[8,2] has 2 digits.
[3,0,0] + [8,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[3,0] + [8] , A=[2] , C=0 , 0+8+0=8 , A->8 , C->0
[3] + [] , A=[8,2] , C=0 , 3+0+0=3 , A->3 , C->0
[] + [] , A=[3,8,2] C=0 , END
</scratch>
382
| 382 |
Input:
242+503
Target:
| Input:
242+503
Target:
<scratch>
[2,4,2] has 3 digits.
[5,0,3] has 3 digits.
[2,4,2] + [5,0,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[2,4] + [5,0] , A=[5] , C=0 , 4+0+0=4 , A->4 , C->0
[2] + [5] , A=[4,5] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,4,5] C=0 , END
</scratch>
745
| 745 |
Input:
859+667
Target:
| Input:
859+667
Target:
<scratch>
[8,5,9] has 3 digits.
[6,6,7] has 3 digits.
[8,5,9] + [6,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[8,5] + [6,6] , A=[6] , C=1 , 5+6+1=12 , A->2 , C->1
[8] + [6] , A=[2,6] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,2,6] C=1 , END
</scratch>
1526
| 1526 |
Input:
849+293
Target:
| Input:
849+293
Target:
<scratch>
[8,4,9] has 3 digits.
[2,9,3] has 3 digits.
[8,4,9] + [2,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[8,4] + [2,9] , A=[2] , C=1 , 4+9+1=14 , A->4 , C->1
[8] + [2] , A=[4,2] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,4,2] C=1 , END
</scratch>
1142
| 1142 |
Input:
599+463
Target:
| Input:
599+463
Target:
<scratch>
[5,9,9] has 3 digits.
[4,6,3] has 3 digits.
[5,9,9] + [4,6,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[5,9] + [4,6] , A=[2] , C=1 , 9+6+1=16 , A->6 , C->1
[5] + [4] , A=[6,2] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,6,2] C=1 , END
</scratch>
1062
| 1062 |
Input:
610+42
Target:
| Input:
610+42
Target:
<scratch>
[6,1,0] has 3 digits.
[4,2] has 2 digits.
[6,1,0] + [4,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[6,1] + [4] , A=[2] , C=0 , 1+4+0=5 , A->5 , C->0
[6] + [] , A=[5,2] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,5,2] C=0 , END
</scratch>
652
| 652 |
Input:
729+396
Target:
| Input:
729+396
Target:
<scratch>
[7,2,9] has 3 digits.
[3,9,6] has 3 digits.
[7,2,9] + [3,9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[7,2] + [3,9] , A=[5] , C=1 , 2+9+1=12 , A->2 , C->1
[7] + [3] , A=[2,5] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,5] C=1 , END
</scratch>
1125
| 1125 |
Input:
273+422
Target:
| Input:
273+422
Target:
<scratch>
[2,7,3] has 3 digits.
[4,2,2] has 3 digits.
[2,7,3] + [4,2,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[2,7] + [4,2] , A=[5] , C=0 , 7+2+0=9 , A->9 , C->0
[2] + [4] , A=[9,5] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,9,5] C=0 , END
</scratch>
695
| 695 |
Input:
743+387
Target:
| Input:
743+387
Target:
<scratch>
[7,4,3] has 3 digits.
[3,8,7] has 3 digits.
[7,4,3] + [3,8,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[7,4] + [3,8] , A=[0] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [3] , A=[3,0] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,3,0] C=1 , END
</scratch>
1130
| 1130 |
Input:
231+420
Target:
| Input:
231+420
Target:
<scratch>
[2,3,1] has 3 digits.
[4,2,0] has 3 digits.
[2,3,1] + [4,2,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[2,3] + [4,2] , A=[1] , C=0 , 3+2+0=5 , A->5 , C->0
[2] + [4] , A=[5,1] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,5,1] C=0 , END
</scratch>
651
| 651 |
Input:
517+998
Target:
| Input:
517+998
Target:
<scratch>
[5,1,7] has 3 digits.
[9,9,8] has 3 digits.
[5,1,7] + [9,9,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[5,1] + [9,9] , A=[5] , C=1 , 1+9+1=11 , A->1 , C->1
[5] + [9] , A=[1,5] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,1,5] C=1 , END
</scratch>
1515
| 1515 |
Input:
783+787
Target:
| Input:
783+787
Target:
<scratch>
[7,8,3] has 3 digits.
[7,8,7] has 3 digits.
[7,8,3] + [7,8,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[7,8] + [7,8] , A=[0] , C=1 , 8+8+1=17 , A->7 , C->1
[7] + [7] , A=[7,0] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,7,0] C=1 , END
</scratch>
1570
| 1570 |
Input:
22+433
Target:
| Input:
22+433
Target:
<scratch>
[2,2] has 2 digits.
[4,3,3] has 3 digits.
[2,2] + [4,3,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[2] + [4,3] , A=[5] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [4] , A=[5,5] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,5,5] C=0 , END
</scratch>
455
| 455 |
Input:
22+566
Target:
| Input:
22+566
Target:
<scratch>
[2,2] has 2 digits.
[5,6,6] has 3 digits.
[2,2] + [5,6,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[2] + [5,6] , A=[8] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [5] , A=[8,8] , C=0 , 0+5+0=5 , A->5 , C->0
[] + [] , A=[5,8,8] C=0 , END
</scratch>
588
| 588 |
Input:
518+899
Target:
| Input:
518+899
Target:
<scratch>
[5,1,8] has 3 digits.
[8,9,9] has 3 digits.
[5,1,8] + [8,9,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5,1] + [8,9] , A=[7] , C=1 , 1+9+1=11 , A->1 , C->1
[5] + [8] , A=[1,7] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,1,7] C=1 , END
</scratch>
1417
| 1417 |
Input:
353+525
Target:
| Input:
353+525
Target:
<scratch>
[3,5,3] has 3 digits.
[5,2,5] has 3 digits.
[3,5,3] + [5,2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[3,5] + [5,2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[3] + [5] , A=[7,8] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
798+948
Target:
| Input:
798+948
Target:
<scratch>
[7,9,8] has 3 digits.
[9,4,8] has 3 digits.
[7,9,8] + [9,4,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[7,9] + [9,4] , A=[6] , C=1 , 9+4+1=14 , A->4 , C->1
[7] + [9] , A=[4,6] , C=1 , 7+9+1=17 , A->7 , C->1
[] + [] , A=[7,4,6] C=1 , END
</scratch>
1746
| 1746 |
Input:
320+211
Target:
| Input:
320+211
Target:
<scratch>
[3,2,0] has 3 digits.
[2,1,1] has 3 digits.
[3,2,0] + [2,1,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[3,2] + [2,1] , A=[1] , C=0 , 2+1+0=3 , A->3 , C->0
[3] + [2] , A=[3,1] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,3,1] C=0 , END
</scratch>
531
| 531 |
Input:
877+184
Target:
| Input:
877+184
Target:
<scratch>
[8,7,7] has 3 digits.
[1,8,4] has 3 digits.
[8,7,7] + [1,8,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[8,7] + [1,8] , A=[1] , C=1 , 7+8+1=16 , A->6 , C->1
[8] + [1] , A=[6,1] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,6,1] C=1 , END
</scratch>
1061
| 1061 |
Input:
495+599
Target:
| Input:
495+599
Target:
<scratch>
[4,9,5] has 3 digits.
[5,9,9] has 3 digits.
[4,9,5] + [5,9,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[4,9] + [5,9] , A=[4] , C=1 , 9+9+1=19 , A->9 , C->1
[4] + [5] , A=[9,4] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,9,4] C=1 , END
</scratch>
1094
| 1094 |
Input:
883+977
Target:
| Input:
883+977
Target:
<scratch>
[8,8,3] has 3 digits.
[9,7,7] has 3 digits.
[8,8,3] + [9,7,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[8,8] + [9,7] , A=[0] , C=1 , 8+7+1=16 , A->6 , C->1
[8] + [9] , A=[6,0] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,6,0] C=1 , END
</scratch>
1860
| 1860 |
Input:
121+552
Target:
| Input:
121+552
Target:
<scratch>
[1,2,1] has 3 digits.
[5,5,2] has 3 digits.
[1,2,1] + [5,5,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[1,2] + [5,5] , A=[3] , C=0 , 2+5+0=7 , A->7 , C->0
[1] + [5] , A=[7,3] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,7,3] C=0 , END
</scratch>
673
| 673 |
Input:
435+578
Target:
| Input:
435+578
Target:
<scratch>
[4,3,5] has 3 digits.
[5,7,8] has 3 digits.
[4,3,5] + [5,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[4,3] + [5,7] , A=[3] , C=1 , 3+7+1=11 , A->1 , C->1
[4] + [5] , A=[1,3] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,1,3] C=1 , END
</scratch>
1013
| 1013 |
Input:
104+215
Target:
| Input:
104+215
Target:
<scratch>
[1,0,4] has 3 digits.
[2,1,5] has 3 digits.
[1,0,4] + [2,1,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[1,0] + [2,1] , A=[9] , C=0 , 0+1+0=1 , A->1 , C->0
[1] + [2] , A=[1,9] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,1,9] C=0 , END
</scratch>
319
| 319 |
Input:
476+864
Target:
| Input:
476+864
Target:
<scratch>
[4,7,6] has 3 digits.
[8,6,4] has 3 digits.
[4,7,6] + [8,6,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[4,7] + [8,6] , A=[0] , C=1 , 7+6+1=14 , A->4 , C->1
[4] + [8] , A=[4,0] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,4,0] C=1 , END
</scratch>
1340
| 1340 |
Input:
165+622
Target:
| Input:
165+622
Target:
<scratch>
[1,6,5] has 3 digits.
[6,2,2] has 3 digits.
[1,6,5] + [6,2,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[1,6] + [6,2] , A=[7] , C=0 , 6+2+0=8 , A->8 , C->0
[1] + [6] , A=[8,7] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,7] C=0 , END
</scratch>
787
| 787 |
Input:
304+581
Target:
| Input:
304+581
Target:
<scratch>
[3,0,4] has 3 digits.
[5,8,1] has 3 digits.
[3,0,4] + [5,8,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[3,0] + [5,8] , A=[5] , C=0 , 0+8+0=8 , A->8 , C->0
[3] + [5] , A=[8,5] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,8,5] C=0 , END
</scratch>
885
| 885 |
Input:
357+848
Target:
| Input:
357+848
Target:
<scratch>
[3,5,7] has 3 digits.
[8,4,8] has 3 digits.
[3,5,7] + [8,4,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[3,5] + [8,4] , A=[5] , C=1 , 5+4+1=10 , A->0 , C->1
[3] + [8] , A=[0,5] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,0,5] C=1 , END
</scratch>
1205
| 1205 |
Input:
430+244
Target:
| Input:
430+244
Target:
<scratch>
[4,3,0] has 3 digits.
[2,4,4] has 3 digits.
[4,3,0] + [2,4,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[4,3] + [2,4] , A=[4] , C=0 , 3+4+0=7 , A->7 , C->0
[4] + [2] , A=[7,4] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,7,4] C=0 , END
</scratch>
674
| 674 |
Input:
241+969
Target:
| Input:
241+969
Target:
<scratch>
[2,4,1] has 3 digits.
[9,6,9] has 3 digits.
[2,4,1] + [9,6,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[2,4] + [9,6] , A=[0] , C=1 , 4+6+1=11 , A->1 , C->1
[2] + [9] , A=[1,0] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,1,0] C=1 , END
</scratch>
1210
| 1210 |
Input:
357+412
Target:
| Input:
357+412
Target:
<scratch>
[3,5,7] has 3 digits.
[4,1,2] has 3 digits.
[3,5,7] + [4,1,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[3,5] + [4,1] , A=[9] , C=0 , 5+1+0=6 , A->6 , C->0
[3] + [4] , A=[6,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,6,9] C=0 , END
</scratch>
769
| 769 |
Input:
753+677
Target:
| Input:
753+677
Target:
<scratch>
[7,5,3] has 3 digits.
[6,7,7] has 3 digits.
[7,5,3] + [6,7,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[7,5] + [6,7] , A=[0] , C=1 , 5+7+1=13 , A->3 , C->1
[7] + [6] , A=[3,0] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,3,0] C=1 , END
</scratch>
1430
| 1430 |
Input:
859+852
Target:
| Input:
859+852
Target:
<scratch>
[8,5,9] has 3 digits.
[8,5,2] has 3 digits.
[8,5,9] + [8,5,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[8,5] + [8,5] , A=[1] , C=1 , 5+5+1=11 , A->1 , C->1
[8] + [8] , A=[1,1] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,1,1] C=1 , END
</scratch>
1711
| 1711 |
Input:
189+917
Target:
| Input:
189+917
Target:
<scratch>
[1,8,9] has 3 digits.
[9,1,7] has 3 digits.
[1,8,9] + [9,1,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[1,8] + [9,1] , A=[6] , C=1 , 8+1+1=10 , A->0 , C->1
[1] + [9] , A=[0,6] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,0,6] C=1 , END
</scratch>
1106
| 1106 |
Input:
985+557
Target:
| Input:
985+557
Target:
<scratch>
[9,8,5] has 3 digits.
[5,5,7] has 3 digits.
[9,8,5] + [5,5,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,8] + [5,5] , A=[2] , C=1 , 8+5+1=14 , A->4 , C->1
[9] + [5] , A=[4,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,4,2] C=1 , END
</scratch>
1542
| 1542 |
Input:
501+172
Target:
| Input:
501+172
Target:
<scratch>
[5,0,1] has 3 digits.
[1,7,2] has 3 digits.
[5,0,1] + [1,7,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[5,0] + [1,7] , A=[3] , C=0 , 0+7+0=7 , A->7 , C->0
[5] + [1] , A=[7,3] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,7,3] C=0 , END
</scratch>
673
| 673 |
Input:
534+140
Target:
| Input:
534+140
Target:
<scratch>
[5,3,4] has 3 digits.
[1,4,0] has 3 digits.
[5,3,4] + [1,4,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[5,3] + [1,4] , A=[4] , C=0 , 3+4+0=7 , A->7 , C->0
[5] + [1] , A=[7,4] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,7,4] C=0 , END
</scratch>
674
| 674 |
Input:
968+166
Target:
| Input:
968+166
Target:
<scratch>
[9,6,8] has 3 digits.
[1,6,6] has 3 digits.
[9,6,8] + [1,6,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[9,6] + [1,6] , A=[4] , C=1 , 6+6+1=13 , A->3 , C->1
[9] + [1] , A=[3,4] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,3,4] C=1 , END
</scratch>
1134
| 1134 |
Input:
385+214
Target:
| Input:
385+214
Target:
<scratch>
[3,8,5] has 3 digits.
[2,1,4] has 3 digits.
[3,8,5] + [2,1,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[3,8] + [2,1] , A=[9] , C=0 , 8+1+0=9 , A->9 , C->0
[3] + [2] , A=[9,9] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,9,9] C=0 , END
</scratch>
599
| 599 |
Input:
302+523
Target:
| Input:
302+523
Target:
<scratch>
[3,0,2] has 3 digits.
[5,2,3] has 3 digits.
[3,0,2] + [5,2,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[3,0] + [5,2] , A=[5] , C=0 , 0+2+0=2 , A->2 , C->0
[3] + [5] , A=[2,5] , C=0 , 3+5+0=8 , A->8 , C->0
[] + [] , A=[8,2,5] C=0 , END
</scratch>
825
| 825 |
Input:
786+735
Target:
| Input:
786+735
Target:
<scratch>
[7,8,6] has 3 digits.
[7,3,5] has 3 digits.
[7,8,6] + [7,3,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[7,8] + [7,3] , A=[1] , C=1 , 8+3+1=12 , A->2 , C->1
[7] + [7] , A=[2,1] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,2,1] C=1 , END
</scratch>
1521
| 1521 |
Input:
311+231
Target:
| Input:
311+231
Target:
<scratch>
[3,1,1] has 3 digits.
[2,3,1] has 3 digits.
[3,1,1] + [2,3,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[3,1] + [2,3] , A=[2] , C=0 , 1+3+0=4 , A->4 , C->0
[3] + [2] , A=[4,2] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,4,2] C=0 , END
</scratch>
542
| 542 |
Input:
828+999
Target:
| Input:
828+999
Target:
<scratch>
[8,2,8] has 3 digits.
[9,9,9] has 3 digits.
[8,2,8] + [9,9,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[8,2] + [9,9] , A=[7] , C=1 , 2+9+1=12 , A->2 , C->1
[8] + [9] , A=[2,7] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,2,7] C=1 , END
</scratch>
1827
| 1827 |
Input:
602+220
Target:
| Input:
602+220
Target:
<scratch>
[6,0,2] has 3 digits.
[2,2,0] has 3 digits.
[6,0,2] + [2,2,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[6,0] + [2,2] , A=[2] , C=0 , 0+2+0=2 , A->2 , C->0
[6] + [2] , A=[2,2] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,2,2] C=0 , END
</scratch>
822
| 822 |
Input:
181+110
Target:
| Input:
181+110
Target:
<scratch>
[1,8,1] has 3 digits.
[1,1,0] has 3 digits.
[1,8,1] + [1,1,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[1,8] + [1,1] , A=[1] , C=0 , 8+1+0=9 , A->9 , C->0
[1] + [1] , A=[9,1] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,9,1] C=0 , END
</scratch>
291
| 291 |
Input:
45+603
Target:
| Input:
45+603
Target:
<scratch>
[4,5] has 2 digits.
[6,0,3] has 3 digits.
[4,5] + [6,0,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[4] + [6,0] , A=[8] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [6] , A=[4,8] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,4,8] C=0 , END
</scratch>
648
| 648 |
Input:
293+604
Target:
| Input:
293+604
Target:
<scratch>
[2,9,3] has 3 digits.
[6,0,4] has 3 digits.
[2,9,3] + [6,0,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[2,9] + [6,0] , A=[7] , C=0 , 9+0+0=9 , A->9 , C->0
[2] + [6] , A=[9,7] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
915+0
Target:
| Input:
915+0
Target:
<scratch>
[9,1,5] has 3 digits.
[0] has 1 digits.
[9,1,5] + [0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[9,1] + [] , A=[5] , C=0 , 1+0+0=1 , A->1 , C->0
[9] + [] , A=[1,5] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,1,5] C=0 , END
</scratch>
915
| 915 |
Input:
416+83
Target:
| Input:
416+83
Target:
<scratch>
[4,1,6] has 3 digits.
[8,3] has 2 digits.
[4,1,6] + [8,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[4,1] + [8] , A=[9] , C=0 , 1+8+0=9 , A->9 , C->0
[4] + [] , A=[9,9] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,9,9] C=0 , END
</scratch>
499
| 499 |
Input:
865+447
Target:
| Input:
865+447
Target:
<scratch>
[8,6,5] has 3 digits.
[4,4,7] has 3 digits.
[8,6,5] + [4,4,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[8,6] + [4,4] , A=[2] , C=1 , 6+4+1=11 , A->1 , C->1
[8] + [4] , A=[1,2] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
684+759
Target:
| Input:
684+759
Target:
<scratch>
[6,8,4] has 3 digits.
[7,5,9] has 3 digits.
[6,8,4] + [7,5,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[6,8] + [7,5] , A=[3] , C=1 , 8+5+1=14 , A->4 , C->1
[6] + [7] , A=[4,3] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,4,3] C=1 , END
</scratch>
1443
| 1443 |
Input:
24+753
Target:
| Input:
24+753
Target:
<scratch>
[2,4] has 2 digits.
[7,5,3] has 3 digits.
[2,4] + [7,5,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[2] + [7,5] , A=[7] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [7] , A=[7,7] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,7,7] C=0 , END
</scratch>
777
| 777 |
Input:
222+743
Target:
| Input:
222+743
Target:
<scratch>
[2,2,2] has 3 digits.
[7,4,3] has 3 digits.
[2,2,2] + [7,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[2,2] + [7,4] , A=[5] , C=0 , 2+4+0=6 , A->6 , C->0
[2] + [7] , A=[6,5] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,6,5] C=0 , END
</scratch>
965
| 965 |
Input:
350+210
Target:
| Input:
350+210
Target:
<scratch>
[3,5,0] has 3 digits.
[2,1,0] has 3 digits.
[3,5,0] + [2,1,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[3,5] + [2,1] , A=[0] , C=0 , 5+1+0=6 , A->6 , C->0
[3] + [2] , A=[6,0] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,6,0] C=0 , END
</scratch>
560
| 560 |
Input:
989+622
Target:
| Input:
989+622
Target:
<scratch>
[9,8,9] has 3 digits.
[6,2,2] has 3 digits.
[9,8,9] + [6,2,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[9,8] + [6,2] , A=[1] , C=1 , 8+2+1=11 , A->1 , C->1
[9] + [6] , A=[1,1] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,1,1] C=1 , END
</scratch>
1611
| 1611 |
Input:
749+553
Target:
| Input:
749+553
Target:
<scratch>
[7,4,9] has 3 digits.
[5,5,3] has 3 digits.
[7,4,9] + [5,5,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[7,4] + [5,5] , A=[2] , C=1 , 4+5+1=10 , A->0 , C->1
[7] + [5] , A=[0,2] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,0,2] C=1 , END
</scratch>
1302
| 1302 |
Input:
557+443
Target:
| Input:
557+443
Target:
<scratch>
[5,5,7] has 3 digits.
[4,4,3] has 3 digits.
[5,5,7] + [4,4,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[5,5] + [4,4] , A=[0] , C=1 , 5+4+1=10 , A->0 , C->1
[5] + [4] , A=[0,0] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,0,0] C=1 , END
</scratch>
1000
| 1000 |
Input:
406+521
Target:
| Input:
406+521
Target:
<scratch>
[4,0,6] has 3 digits.
[5,2,1] has 3 digits.
[4,0,6] + [5,2,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[4,0] + [5,2] , A=[7] , C=0 , 0+2+0=2 , A->2 , C->0
[4] + [5] , A=[2,7] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,2,7] C=0 , END
</scratch>
927
| 927 |
Input:
163+620
Target:
| Input:
163+620
Target:
<scratch>
[1,6,3] has 3 digits.
[6,2,0] has 3 digits.
[1,6,3] + [6,2,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,6] + [6,2] , A=[3] , C=0 , 6+2+0=8 , A->8 , C->0
[1] + [6] , A=[8,3] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,3] C=0 , END
</scratch>
783
| 783 |
Input:
566+995
Target:
| Input:
566+995
Target:
<scratch>
[5,6,6] has 3 digits.
[9,9,5] has 3 digits.
[5,6,6] + [9,9,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[5,6] + [9,9] , A=[1] , C=1 , 6+9+1=16 , A->6 , C->1
[5] + [9] , A=[6,1] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,6,1] C=1 , END
</scratch>
1561
| 1561 |
Input:
461+789
Target:
| Input:
461+789
Target:
<scratch>
[4,6,1] has 3 digits.
[7,8,9] has 3 digits.
[4,6,1] + [7,8,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[4,6] + [7,8] , A=[0] , C=1 , 6+8+1=15 , A->5 , C->1
[4] + [7] , A=[5,0] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,5,0] C=1 , END
</scratch>
1250
| 1250 |
Input:
162+220
Target:
| Input:
162+220
Target:
<scratch>
[1,6,2] has 3 digits.
[2,2,0] has 3 digits.
[1,6,2] + [2,2,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[1,6] + [2,2] , A=[2] , C=0 , 6+2+0=8 , A->8 , C->0
[1] + [2] , A=[8,2] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,2] C=0 , END
</scratch>
382
| 382 |
Input:
482+789
Target:
| Input:
482+789
Target:
<scratch>
[4,8,2] has 3 digits.
[7,8,9] has 3 digits.
[4,8,2] + [7,8,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[4,8] + [7,8] , A=[1] , C=1 , 8+8+1=17 , A->7 , C->1
[4] + [7] , A=[7,1] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,7,1] C=1 , END
</scratch>
1271
| 1271 |
Input:
755+788
Target:
| Input:
755+788
Target:
<scratch>
[7,5,5] has 3 digits.
[7,8,8] has 3 digits.
[7,5,5] + [7,8,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[7,5] + [7,8] , A=[3] , C=1 , 5+8+1=14 , A->4 , C->1
[7] + [7] , A=[4,3] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,4,3] C=1 , END
</scratch>
1543
| 1543 |
Input:
948+196
Target:
| Input:
948+196
Target:
<scratch>
[9,4,8] has 3 digits.
[1,9,6] has 3 digits.
[9,4,8] + [1,9,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[9,4] + [1,9] , A=[4] , C=1 , 4+9+1=14 , A->4 , C->1
[9] + [1] , A=[4,4] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,4,4] C=1 , END
</scratch>
1144
| 1144 |
Input:
2+270
Target:
| Input:
2+270
Target:
<scratch>
[2] has 1 digits.
[2,7,0] has 3 digits.
[2] + [2,7,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[] + [2,7] , A=[2] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [2] , A=[7,2] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,7,2] C=0 , END
</scratch>
272
| 272 |
Input:
1+0
Target:
| Input:
1+0
Target:
<scratch>
[1] has 1 digits.
[0] has 1 digits.
[1] + [0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1] C=0 , END
</scratch>
1
| 1 |
Input:
1+438
Target:
| Input:
1+438
Target:
<scratch>
[1] has 1 digits.
[4,3,8] has 3 digits.
[1] + [4,3,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [4,3] , A=[9] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [4] , A=[3,9] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,3,9] C=0 , END
</scratch>
439
| 439 |
Input:
674+468
Target:
| Input:
674+468
Target:
<scratch>
[6,7,4] has 3 digits.
[4,6,8] has 3 digits.
[6,7,4] + [4,6,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[6,7] + [4,6] , A=[2] , C=1 , 7+6+1=14 , A->4 , C->1
[6] + [4] , A=[4,2] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,4,2] C=1 , END
</scratch>
1142
| 1142 |
Input:
13+144
Target:
| Input:
13+144
Target:
<scratch>
[1,3] has 2 digits.
[1,4,4] has 3 digits.
[1,3] + [1,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1] + [1,4] , A=[7] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [1] , A=[5,7] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,5,7] C=0 , END
</scratch>
157
| 157 |
Input:
993+668
Target:
| Input:
993+668
Target:
<scratch>
[9,9,3] has 3 digits.
[6,6,8] has 3 digits.
[9,9,3] + [6,6,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[9,9] + [6,6] , A=[1] , C=1 , 9+6+1=16 , A->6 , C->1
[9] + [6] , A=[6,1] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,6,1] C=1 , END
</scratch>
1661
| 1661 |
Input:
18+841
Target:
| Input:
18+841
Target:
<scratch>
[1,8] has 2 digits.
[8,4,1] has 3 digits.
[1,8] + [8,4,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[1] + [8,4] , A=[9] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [8] , A=[5,9] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,5,9] C=0 , END
</scratch>
859
| 859 |
Input:
845+859
Target:
| Input:
845+859
Target:
<scratch>
[8,4,5] has 3 digits.
[8,5,9] has 3 digits.
[8,4,5] + [8,5,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[8,4] + [8,5] , A=[4] , C=1 , 4+5+1=10 , A->0 , C->1
[8] + [8] , A=[0,4] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,0,4] C=1 , END
</scratch>
1704
| 1704 |
Input:
285+976
Target:
| Input:
285+976
Target:
<scratch>
[2,8,5] has 3 digits.
[9,7,6] has 3 digits.
[2,8,5] + [9,7,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[2,8] + [9,7] , A=[1] , C=1 , 8+7+1=16 , A->6 , C->1
[2] + [9] , A=[6,1] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,6,1] C=1 , END
</scratch>
1261
| 1261 |
Input:
879+853
Target:
| Input:
879+853
Target:
<scratch>
[8,7,9] has 3 digits.
[8,5,3] has 3 digits.
[8,7,9] + [8,5,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[8,7] + [8,5] , A=[2] , C=1 , 7+5+1=13 , A->3 , C->1
[8] + [8] , A=[3,2] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,3,2] C=1 , END
</scratch>
1732
| 1732 |
Input:
726+150
Target:
| Input:
726+150
Target:
<scratch>
[7,2,6] has 3 digits.
[1,5,0] has 3 digits.
[7,2,6] + [1,5,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[7,2] + [1,5] , A=[6] , C=0 , 2+5+0=7 , A->7 , C->0
[7] + [1] , A=[7,6] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,7,6] C=0 , END
</scratch>
876
| 876 |
Input:
452+689
Target:
| Input:
452+689
Target:
<scratch>
[4,5,2] has 3 digits.
[6,8,9] has 3 digits.
[4,5,2] + [6,8,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[4,5] + [6,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[4] + [6] , A=[4,1] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,4,1] C=1 , END
</scratch>
1141
| 1141 |
Input:
32+27
Target:
| Input:
32+27
Target:
<scratch>
[3,2] has 2 digits.
[2,7] has 2 digits.
[3,2] + [2,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[3] + [2] , A=[9] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,9] C=0 , END
</scratch>
59
| 59 |
Input:
50+932
Target:
| Input:
50+932
Target:
<scratch>
[5,0] has 2 digits.
[9,3,2] has 3 digits.
[5,0] + [9,3,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[5] + [9,3] , A=[2] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [9] , A=[8,2] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,8,2] C=0 , END
</scratch>
982
| 982 |
Input:
244+604
Target:
| Input:
244+604
Target:
<scratch>
[2,4,4] has 3 digits.
[6,0,4] has 3 digits.
[2,4,4] + [6,0,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[2,4] + [6,0] , A=[8] , C=0 , 4+0+0=4 , A->4 , C->0
[2] + [6] , A=[4,8] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,4,8] C=0 , END
</scratch>
848
| 848 |
Input:
103+0
Target:
| Input:
103+0
Target:
<scratch>
[1,0,3] has 3 digits.
[0] has 1 digits.
[1,0,3] + [0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[1,0] + [] , A=[3] , C=0 , 0+0+0=0 , A->0 , C->0
[1] + [] , A=[0,3] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,0,3] C=0 , END
</scratch>
103
| 103 |
Input:
449+682
Target:
| Input:
449+682
Target:
<scratch>
[4,4,9] has 3 digits.
[6,8,2] has 3 digits.
[4,4,9] + [6,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[4,4] + [6,8] , A=[1] , C=1 , 4+8+1=13 , A->3 , C->1
[4] + [6] , A=[3,1] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,3,1] C=1 , END
</scratch>
1131
| 1131 |
Input:
403+556
Target:
| Input:
403+556
Target:
<scratch>
[4,0,3] has 3 digits.
[5,5,6] has 3 digits.
[4,0,3] + [5,5,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[4,0] + [5,5] , A=[9] , C=0 , 0+5+0=5 , A->5 , C->0
[4] + [5] , A=[5,9] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,5,9] C=0 , END
</scratch>
959
| 959 |
Input:
596+405
Target:
| Input:
596+405
Target:
<scratch>
[5,9,6] has 3 digits.
[4,0,5] has 3 digits.
[5,9,6] + [4,0,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[5,9] + [4,0] , A=[1] , C=1 , 9+0+1=10 , A->0 , C->1
[5] + [4] , A=[0,1] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
612+382
Target:
| Input:
612+382
Target:
<scratch>
[6,1,2] has 3 digits.
[3,8,2] has 3 digits.
[6,1,2] + [3,8,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[6,1] + [3,8] , A=[4] , C=0 , 1+8+0=9 , A->9 , C->0
[6] + [3] , A=[9,4] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,9,4] C=0 , END
</scratch>
994
| 994 |
Input:
378+772
Target:
| Input:
378+772
Target:
<scratch>
[3,7,8] has 3 digits.
[7,7,2] has 3 digits.
[3,7,8] + [7,7,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[3,7] + [7,7] , A=[0] , C=1 , 7+7+1=15 , A->5 , C->1
[3] + [7] , A=[5,0] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,5,0] C=1 , END
</scratch>
1150
| 1150 |
Input:
411+83
Target:
| Input:
411+83
Target:
<scratch>
[4,1,1] has 3 digits.
[8,3] has 2 digits.
[4,1,1] + [8,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[4,1] + [8] , A=[4] , C=0 , 1+8+0=9 , A->9 , C->0
[4] + [] , A=[9,4] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,9,4] C=0 , END
</scratch>
494
| 494 |
Input:
839+695
Target:
| Input:
839+695
Target:
<scratch>
[8,3,9] has 3 digits.
[6,9,5] has 3 digits.
[8,3,9] + [6,9,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[8,3] + [6,9] , A=[4] , C=1 , 3+9+1=13 , A->3 , C->1
[8] + [6] , A=[3,4] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,3,4] C=1 , END
</scratch>
1534
| 1534 |
Input:
996+5
Target:
| Input:
996+5
Target:
<scratch>
[9,9,6] has 3 digits.
[5] has 1 digits.
[9,9,6] + [5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[9,9] + [] , A=[1] , C=1 , 9+0+1=10 , A->0 , C->1
[9] + [] , A=[0,1] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,0,1] C=1 , END
</scratch>
1001
| 1001 |
Input:
162+888
Target:
| Input:
162+888
Target:
<scratch>
[1,6,2] has 3 digits.
[8,8,8] has 3 digits.
[1,6,2] + [8,8,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[1,6] + [8,8] , A=[0] , C=1 , 6+8+1=15 , A->5 , C->1
[1] + [8] , A=[5,0] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,5,0] C=1 , END
</scratch>
1050
| 1050 |
Subsets and Splits