input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
40+927
Target:
| Input:
40+927
Target:
<scratch>
[4,0] has 2 digits.
[9,2,7] has 3 digits.
[4,0] + [9,2,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[4] + [9,2] , A=[7] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [9] , A=[6,7] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,6,7] C=0 , END
</scratch>
967
| 967 |
Input:
705+64
Target:
| Input:
705+64
Target:
<scratch>
[7,0,5] has 3 digits.
[6,4] has 2 digits.
[7,0,5] + [6,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[7,0] + [6] , A=[9] , C=0 , 0+6+0=6 , A->6 , C->0
[7] + [] , A=[6,9] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,6,9] C=0 , END
</scratch>
769
| 769 |
Input:
236+641
Target:
| Input:
236+641
Target:
<scratch>
[2,3,6] has 3 digits.
[6,4,1] has 3 digits.
[2,3,6] + [6,4,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[2,3] + [6,4] , A=[7] , C=0 , 3+4+0=7 , A->7 , C->0
[2] + [6] , A=[7,7] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,7,7] C=0 , END
</scratch>
877
| 877 |
Input:
977+873
Target:
| Input:
977+873
Target:
<scratch>
[9,7,7] has 3 digits.
[8,7,3] has 3 digits.
[9,7,7] + [8,7,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,7] + [8,7] , A=[0] , C=1 , 7+7+1=15 , A->5 , C->1
[9] + [8] , A=[5,0] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,5,0] C=1 , END
</scratch>
1850
| 1850 |
Input:
148+200
Target:
| Input:
148+200
Target:
<scratch>
[1,4,8] has 3 digits.
[2,0,0] has 3 digits.
[1,4,8] + [2,0,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[1,4] + [2,0] , A=[8] , C=0 , 4+0+0=4 , A->4 , C->0
[1] + [2] , A=[4,8] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,4,8] C=0 , END
</scratch>
348
| 348 |
Input:
892+619
Target:
| Input:
892+619
Target:
<scratch>
[8,9,2] has 3 digits.
[6,1,9] has 3 digits.
[8,9,2] + [6,1,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[8,9] + [6,1] , A=[1] , C=1 , 9+1+1=11 , A->1 , C->1
[8] + [6] , A=[1,1] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,1,1] C=1 , END
</scratch>
1511
| 1511 |
Input:
749+377
Target:
| Input:
749+377
Target:
<scratch>
[7,4,9] has 3 digits.
[3,7,7] has 3 digits.
[7,4,9] + [3,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[7,4] + [3,7] , A=[6] , C=1 , 4+7+1=12 , A->2 , C->1
[7] + [3] , A=[2,6] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
545+144
Target:
| Input:
545+144
Target:
<scratch>
[5,4,5] has 3 digits.
[1,4,4] has 3 digits.
[5,4,5] + [1,4,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[5,4] + [1,4] , A=[9] , C=0 , 4+4+0=8 , A->8 , C->0
[5] + [1] , A=[8,9] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [] , A=[6,8,9] C=0 , END
</scratch>
689
| 689 |
Input:
181+612
Target:
| Input:
181+612
Target:
<scratch>
[1,8,1] has 3 digits.
[6,1,2] has 3 digits.
[1,8,1] + [6,1,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[1,8] + [6,1] , A=[3] , C=0 , 8+1+0=9 , A->9 , C->0
[1] + [6] , A=[9,3] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,9,3] C=0 , END
</scratch>
793
| 793 |
Input:
20+858
Target:
| Input:
20+858
Target:
<scratch>
[2,0] has 2 digits.
[8,5,8] has 3 digits.
[2,0] + [8,5,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[2] + [8,5] , A=[8] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [8] , A=[7,8] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
503+394
Target:
| Input:
503+394
Target:
<scratch>
[5,0,3] has 3 digits.
[3,9,4] has 3 digits.
[5,0,3] + [3,9,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,0] + [3,9] , A=[7] , C=0 , 0+9+0=9 , A->9 , C->0
[5] + [3] , A=[9,7] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,9,7] C=0 , END
</scratch>
897
| 897 |
Input:
215+302
Target:
| Input:
215+302
Target:
<scratch>
[2,1,5] has 3 digits.
[3,0,2] has 3 digits.
[2,1,5] + [3,0,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[2,1] + [3,0] , A=[7] , C=0 , 1+0+0=1 , A->1 , C->0
[2] + [3] , A=[1,7] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,1,7] C=0 , END
</scratch>
517
| 517 |
Input:
183+603
Target:
| Input:
183+603
Target:
<scratch>
[1,8,3] has 3 digits.
[6,0,3] has 3 digits.
[1,8,3] + [6,0,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[1,8] + [6,0] , A=[6] , C=0 , 8+0+0=8 , A->8 , C->0
[1] + [6] , A=[8,6] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,6] C=0 , END
</scratch>
786
| 786 |
Input:
597+617
Target:
| Input:
597+617
Target:
<scratch>
[5,9,7] has 3 digits.
[6,1,7] has 3 digits.
[5,9,7] + [6,1,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[5,9] + [6,1] , A=[4] , C=1 , 9+1+1=11 , A->1 , C->1
[5] + [6] , A=[1,4] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,1,4] C=1 , END
</scratch>
1214
| 1214 |
Input:
159+877
Target:
| Input:
159+877
Target:
<scratch>
[1,5,9] has 3 digits.
[8,7,7] has 3 digits.
[1,5,9] + [8,7,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[1,5] + [8,7] , A=[6] , C=1 , 5+7+1=13 , A->3 , C->1
[1] + [8] , A=[3,6] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,3,6] C=1 , END
</scratch>
1036
| 1036 |
Input:
761+15
Target:
| Input:
761+15
Target:
<scratch>
[7,6,1] has 3 digits.
[1,5] has 2 digits.
[7,6,1] + [1,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[7,6] + [1] , A=[6] , C=0 , 6+1+0=7 , A->7 , C->0
[7] + [] , A=[7,6] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,7,6] C=0 , END
</scratch>
776
| 776 |
Input:
511+321
Target:
| Input:
511+321
Target:
<scratch>
[5,1,1] has 3 digits.
[3,2,1] has 3 digits.
[5,1,1] + [3,2,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[5,1] + [3,2] , A=[2] , C=0 , 1+2+0=3 , A->3 , C->0
[5] + [3] , A=[3,2] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,3,2] C=0 , END
</scratch>
832
| 832 |
Input:
787+728
Target:
| Input:
787+728
Target:
<scratch>
[7,8,7] has 3 digits.
[7,2,8] has 3 digits.
[7,8,7] + [7,2,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[7,8] + [7,2] , A=[5] , C=1 , 8+2+1=11 , A->1 , C->1
[7] + [7] , A=[1,5] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,1,5] C=1 , END
</scratch>
1515
| 1515 |
Input:
198+892
Target:
| Input:
198+892
Target:
<scratch>
[1,9,8] has 3 digits.
[8,9,2] has 3 digits.
[1,9,8] + [8,9,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[1,9] + [8,9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[1] + [8] , A=[9,0] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,9,0] C=1 , END
</scratch>
1090
| 1090 |
Input:
925+577
Target:
| Input:
925+577
Target:
<scratch>
[9,2,5] has 3 digits.
[5,7,7] has 3 digits.
[9,2,5] + [5,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,2] + [5,7] , A=[2] , C=1 , 2+7+1=10 , A->0 , C->1
[9] + [5] , A=[0,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,0,2] C=1 , END
</scratch>
1502
| 1502 |
Input:
461+538
Target:
| Input:
461+538
Target:
<scratch>
[4,6,1] has 3 digits.
[5,3,8] has 3 digits.
[4,6,1] + [5,3,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[4,6] + [5,3] , A=[9] , C=0 , 6+3+0=9 , A->9 , C->0
[4] + [5] , A=[9,9] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,9] C=0 , END
</scratch>
999
| 999 |
Input:
236+223
Target:
| Input:
236+223
Target:
<scratch>
[2,3,6] has 3 digits.
[2,2,3] has 3 digits.
[2,3,6] + [2,2,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[2,3] + [2,2] , A=[9] , C=0 , 3+2+0=5 , A->5 , C->0
[2] + [2] , A=[5,9] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,5,9] C=0 , END
</scratch>
459
| 459 |
Input:
873+569
Target:
| Input:
873+569
Target:
<scratch>
[8,7,3] has 3 digits.
[5,6,9] has 3 digits.
[8,7,3] + [5,6,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[8,7] + [5,6] , A=[2] , C=1 , 7+6+1=14 , A->4 , C->1
[8] + [5] , A=[4,2] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,4,2] C=1 , END
</scratch>
1442
| 1442 |
Input:
122+742
Target:
| Input:
122+742
Target:
<scratch>
[1,2,2] has 3 digits.
[7,4,2] has 3 digits.
[1,2,2] + [7,4,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[1,2] + [7,4] , A=[4] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [7] , A=[6,4] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,6,4] C=0 , END
</scratch>
864
| 864 |
Input:
622+315
Target:
| Input:
622+315
Target:
<scratch>
[6,2,2] has 3 digits.
[3,1,5] has 3 digits.
[6,2,2] + [3,1,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[6,2] + [3,1] , A=[7] , C=0 , 2+1+0=3 , A->3 , C->0
[6] + [3] , A=[3,7] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,3,7] C=0 , END
</scratch>
937
| 937 |
Input:
607+1
Target:
| Input:
607+1
Target:
<scratch>
[6,0,7] has 3 digits.
[1] has 1 digits.
[6,0,7] + [1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[6,0] + [] , A=[8] , C=0 , 0+0+0=0 , A->0 , C->0
[6] + [] , A=[0,8] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,0,8] C=0 , END
</scratch>
608
| 608 |
Input:
216+410
Target:
| Input:
216+410
Target:
<scratch>
[2,1,6] has 3 digits.
[4,1,0] has 3 digits.
[2,1,6] + [4,1,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[2,1] + [4,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[2] + [4] , A=[2,6] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,2,6] C=0 , END
</scratch>
626
| 626 |
Input:
919+197
Target:
| Input:
919+197
Target:
<scratch>
[9,1,9] has 3 digits.
[1,9,7] has 3 digits.
[9,1,9] + [1,9,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[9,1] + [1,9] , A=[6] , C=1 , 1+9+1=11 , A->1 , C->1
[9] + [1] , A=[1,6] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,1,6] C=1 , END
</scratch>
1116
| 1116 |
Input:
150+347
Target:
| Input:
150+347
Target:
<scratch>
[1,5,0] has 3 digits.
[3,4,7] has 3 digits.
[1,5,0] + [3,4,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[1,5] + [3,4] , A=[7] , C=0 , 5+4+0=9 , A->9 , C->0
[1] + [3] , A=[9,7] , C=0 , 1+3+0=4 , A->4 , C->0
[] + [] , A=[4,9,7] C=0 , END
</scratch>
497
| 497 |
Input:
714+897
Target:
| Input:
714+897
Target:
<scratch>
[7,1,4] has 3 digits.
[8,9,7] has 3 digits.
[7,1,4] + [8,9,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[7,1] + [8,9] , A=[1] , C=1 , 1+9+1=11 , A->1 , C->1
[7] + [8] , A=[1,1] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,1,1] C=1 , END
</scratch>
1611
| 1611 |
Input:
378+652
Target:
| Input:
378+652
Target:
<scratch>
[3,7,8] has 3 digits.
[6,5,2] has 3 digits.
[3,7,8] + [6,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[3,7] + [6,5] , A=[0] , C=1 , 7+5+1=13 , A->3 , C->1
[3] + [6] , A=[3,0] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,3,0] C=1 , END
</scratch>
1030
| 1030 |
Input:
816+188
Target:
| Input:
816+188
Target:
<scratch>
[8,1,6] has 3 digits.
[1,8,8] has 3 digits.
[8,1,6] + [1,8,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[8,1] + [1,8] , A=[4] , C=1 , 1+8+1=10 , A->0 , C->1
[8] + [1] , A=[0,4] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,0,4] C=1 , END
</scratch>
1004
| 1004 |
Input:
713+143
Target:
| Input:
713+143
Target:
<scratch>
[7,1,3] has 3 digits.
[1,4,3] has 3 digits.
[7,1,3] + [1,4,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[7,1] + [1,4] , A=[6] , C=0 , 1+4+0=5 , A->5 , C->0
[7] + [1] , A=[5,6] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,5,6] C=0 , END
</scratch>
856
| 856 |
Input:
28+760
Target:
| Input:
28+760
Target:
<scratch>
[2,8] has 2 digits.
[7,6,0] has 3 digits.
[2,8] + [7,6,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[2] + [7,6] , A=[8] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [7] , A=[8,8] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,8,8] C=0 , END
</scratch>
788
| 788 |
Input:
402+140
Target:
| Input:
402+140
Target:
<scratch>
[4,0,2] has 3 digits.
[1,4,0] has 3 digits.
[4,0,2] + [1,4,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[4,0] + [1,4] , A=[2] , C=0 , 0+4+0=4 , A->4 , C->0
[4] + [1] , A=[4,2] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,4,2] C=0 , END
</scratch>
542
| 542 |
Input:
380+204
Target:
| Input:
380+204
Target:
<scratch>
[3,8,0] has 3 digits.
[2,0,4] has 3 digits.
[3,8,0] + [2,0,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[3,8] + [2,0] , A=[4] , C=0 , 8+0+0=8 , A->8 , C->0
[3] + [2] , A=[8,4] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,8,4] C=0 , END
</scratch>
584
| 584 |
Input:
369+792
Target:
| Input:
369+792
Target:
<scratch>
[3,6,9] has 3 digits.
[7,9,2] has 3 digits.
[3,6,9] + [7,9,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[3,6] + [7,9] , A=[1] , C=1 , 6+9+1=16 , A->6 , C->1
[3] + [7] , A=[6,1] , C=1 , 3+7+1=11 , A->1 , C->1
[] + [] , A=[1,6,1] C=1 , END
</scratch>
1161
| 1161 |
Input:
889+617
Target:
| Input:
889+617
Target:
<scratch>
[8,8,9] has 3 digits.
[6,1,7] has 3 digits.
[8,8,9] + [6,1,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[8,8] + [6,1] , A=[6] , C=1 , 8+1+1=10 , A->0 , C->1
[8] + [6] , A=[0,6] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,0,6] C=1 , END
</scratch>
1506
| 1506 |
Input:
309+420
Target:
| Input:
309+420
Target:
<scratch>
[3,0,9] has 3 digits.
[4,2,0] has 3 digits.
[3,0,9] + [4,2,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[3,0] + [4,2] , A=[9] , C=0 , 0+2+0=2 , A->2 , C->0
[3] + [4] , A=[2,9] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,2,9] C=0 , END
</scratch>
729
| 729 |
Input:
597+657
Target:
| Input:
597+657
Target:
<scratch>
[5,9,7] has 3 digits.
[6,5,7] has 3 digits.
[5,9,7] + [6,5,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[5,9] + [6,5] , A=[4] , C=1 , 9+5+1=15 , A->5 , C->1
[5] + [6] , A=[5,4] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,5,4] C=1 , END
</scratch>
1254
| 1254 |
Input:
481+599
Target:
| Input:
481+599
Target:
<scratch>
[4,8,1] has 3 digits.
[5,9,9] has 3 digits.
[4,8,1] + [5,9,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[4,8] + [5,9] , A=[0] , C=1 , 8+9+1=18 , A->8 , C->1
[4] + [5] , A=[8,0] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,8,0] C=1 , END
</scratch>
1080
| 1080 |
Input:
162+526
Target:
| Input:
162+526
Target:
<scratch>
[1,6,2] has 3 digits.
[5,2,6] has 3 digits.
[1,6,2] + [5,2,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[1,6] + [5,2] , A=[8] , C=0 , 6+2+0=8 , A->8 , C->0
[1] + [5] , A=[8,8] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,8,8] C=0 , END
</scratch>
688
| 688 |
Input:
974+558
Target:
| Input:
974+558
Target:
<scratch>
[9,7,4] has 3 digits.
[5,5,8] has 3 digits.
[9,7,4] + [5,5,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[9,7] + [5,5] , A=[2] , C=1 , 7+5+1=13 , A->3 , C->1
[9] + [5] , A=[3,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,3,2] C=1 , END
</scratch>
1532
| 1532 |
Input:
994+217
Target:
| Input:
994+217
Target:
<scratch>
[9,9,4] has 3 digits.
[2,1,7] has 3 digits.
[9,9,4] + [2,1,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[9,9] + [2,1] , A=[1] , C=1 , 9+1+1=11 , A->1 , C->1
[9] + [2] , A=[1,1] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,1,1] C=1 , END
</scratch>
1211
| 1211 |
Input:
373+867
Target:
| Input:
373+867
Target:
<scratch>
[3,7,3] has 3 digits.
[8,6,7] has 3 digits.
[3,7,3] + [8,6,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[3,7] + [8,6] , A=[0] , C=1 , 7+6+1=14 , A->4 , C->1
[3] + [8] , A=[4,0] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,4,0] C=1 , END
</scratch>
1240
| 1240 |
Input:
361+604
Target:
| Input:
361+604
Target:
<scratch>
[3,6,1] has 3 digits.
[6,0,4] has 3 digits.
[3,6,1] + [6,0,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[3,6] + [6,0] , A=[5] , C=0 , 6+0+0=6 , A->6 , C->0
[3] + [6] , A=[6,5] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,6,5] C=0 , END
</scratch>
965
| 965 |
Input:
696+765
Target:
| Input:
696+765
Target:
<scratch>
[6,9,6] has 3 digits.
[7,6,5] has 3 digits.
[6,9,6] + [7,6,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[6,9] + [7,6] , A=[1] , C=1 , 9+6+1=16 , A->6 , C->1
[6] + [7] , A=[6,1] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [] , A=[4,6,1] C=1 , END
</scratch>
1461
| 1461 |
Input:
744+289
Target:
| Input:
744+289
Target:
<scratch>
[7,4,4] has 3 digits.
[2,8,9] has 3 digits.
[7,4,4] + [2,8,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[7,4] + [2,8] , A=[3] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [2] , A=[3,3] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,3,3] C=1 , END
</scratch>
1033
| 1033 |
Input:
636+340
Target:
| Input:
636+340
Target:
<scratch>
[6,3,6] has 3 digits.
[3,4,0] has 3 digits.
[6,3,6] + [3,4,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[6,3] + [3,4] , A=[6] , C=0 , 3+4+0=7 , A->7 , C->0
[6] + [3] , A=[7,6] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,7,6] C=0 , END
</scratch>
976
| 976 |
Input:
372+202
Target:
| Input:
372+202
Target:
<scratch>
[3,7,2] has 3 digits.
[2,0,2] has 3 digits.
[3,7,2] + [2,0,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[3,7] + [2,0] , A=[4] , C=0 , 7+0+0=7 , A->7 , C->0
[3] + [2] , A=[7,4] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [] , A=[5,7,4] C=0 , END
</scratch>
574
| 574 |
Input:
562+5
Target:
| Input:
562+5
Target:
<scratch>
[5,6,2] has 3 digits.
[5] has 1 digits.
[5,6,2] + [5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[5,6] + [] , A=[7] , C=0 , 6+0+0=6 , A->6 , C->0
[5] + [] , A=[6,7] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,6,7] C=0 , END
</scratch>
567
| 567 |
Input:
244+223
Target:
| Input:
244+223
Target:
<scratch>
[2,4,4] has 3 digits.
[2,2,3] has 3 digits.
[2,4,4] + [2,2,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[2,4] + [2,2] , A=[7] , C=0 , 4+2+0=6 , A->6 , C->0
[2] + [2] , A=[6,7] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,6,7] C=0 , END
</scratch>
467
| 467 |
Input:
975+37
Target:
| Input:
975+37
Target:
<scratch>
[9,7,5] has 3 digits.
[3,7] has 2 digits.
[9,7,5] + [3,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[9,7] + [3] , A=[2] , C=1 , 7+3+1=11 , A->1 , C->1
[9] + [] , A=[1,2] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [] , A=[0,1,2] C=1 , END
</scratch>
1012
| 1012 |
Input:
441+555
Target:
| Input:
441+555
Target:
<scratch>
[4,4,1] has 3 digits.
[5,5,5] has 3 digits.
[4,4,1] + [5,5,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[4,4] + [5,5] , A=[6] , C=0 , 4+5+0=9 , A->9 , C->0
[4] + [5] , A=[9,6] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,6] C=0 , END
</scratch>
996
| 996 |
Input:
115+72
Target:
| Input:
115+72
Target:
<scratch>
[1,1,5] has 3 digits.
[7,2] has 2 digits.
[1,1,5] + [7,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[1,1] + [7] , A=[7] , C=0 , 1+7+0=8 , A->8 , C->0
[1] + [] , A=[8,7] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,8,7] C=0 , END
</scratch>
187
| 187 |
Input:
312+110
Target:
| Input:
312+110
Target:
<scratch>
[3,1,2] has 3 digits.
[1,1,0] has 3 digits.
[3,1,2] + [1,1,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[3,1] + [1,1] , A=[2] , C=0 , 1+1+0=2 , A->2 , C->0
[3] + [1] , A=[2,2] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,2,2] C=0 , END
</scratch>
422
| 422 |
Input:
600+1
Target:
| Input:
600+1
Target:
<scratch>
[6,0,0] has 3 digits.
[1] has 1 digits.
[6,0,0] + [1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[6,0] + [] , A=[1] , C=0 , 0+0+0=0 , A->0 , C->0
[6] + [] , A=[0,1] , C=0 , 6+0+0=6 , A->6 , C->0
[] + [] , A=[6,0,1] C=0 , END
</scratch>
601
| 601 |
Input:
975+968
Target:
| Input:
975+968
Target:
<scratch>
[9,7,5] has 3 digits.
[9,6,8] has 3 digits.
[9,7,5] + [9,6,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[9,7] + [9,6] , A=[3] , C=1 , 7+6+1=14 , A->4 , C->1
[9] + [9] , A=[4,3] , C=1 , 9+9+1=19 , A->9 , C->1
[] + [] , A=[9,4,3] C=1 , END
</scratch>
1943
| 1943 |
Input:
535+575
Target:
| Input:
535+575
Target:
<scratch>
[5,3,5] has 3 digits.
[5,7,5] has 3 digits.
[5,3,5] + [5,7,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[5,3] + [5,7] , A=[0] , C=1 , 3+7+1=11 , A->1 , C->1
[5] + [5] , A=[1,0] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,1,0] C=1 , END
</scratch>
1110
| 1110 |
Input:
544+986
Target:
| Input:
544+986
Target:
<scratch>
[5,4,4] has 3 digits.
[9,8,6] has 3 digits.
[5,4,4] + [9,8,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[5,4] + [9,8] , A=[0] , C=1 , 4+8+1=13 , A->3 , C->1
[5] + [9] , A=[3,0] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,3,0] C=1 , END
</scratch>
1530
| 1530 |
Input:
334+152
Target:
| Input:
334+152
Target:
<scratch>
[3,3,4] has 3 digits.
[1,5,2] has 3 digits.
[3,3,4] + [1,5,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[3,3] + [1,5] , A=[6] , C=0 , 3+5+0=8 , A->8 , C->0
[3] + [1] , A=[8,6] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,8,6] C=0 , END
</scratch>
486
| 486 |
Input:
582+618
Target:
| Input:
582+618
Target:
<scratch>
[5,8,2] has 3 digits.
[6,1,8] has 3 digits.
[5,8,2] + [6,1,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[5,8] + [6,1] , A=[0] , C=1 , 8+1+1=10 , A->0 , C->1
[5] + [6] , A=[0,0] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,0,0] C=1 , END
</scratch>
1200
| 1200 |
Input:
310+467
Target:
| Input:
310+467
Target:
<scratch>
[3,1,0] has 3 digits.
[4,6,7] has 3 digits.
[3,1,0] + [4,6,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[3,1] + [4,6] , A=[7] , C=0 , 1+6+0=7 , A->7 , C->0
[3] + [4] , A=[7,7] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,7,7] C=0 , END
</scratch>
777
| 777 |
Input:
468+989
Target:
| Input:
468+989
Target:
<scratch>
[4,6,8] has 3 digits.
[9,8,9] has 3 digits.
[4,6,8] + [9,8,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[4,6] + [9,8] , A=[7] , C=1 , 6+8+1=15 , A->5 , C->1
[4] + [9] , A=[5,7] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,5,7] C=1 , END
</scratch>
1457
| 1457 |
Input:
882+114
Target:
| Input:
882+114
Target:
<scratch>
[8,8,2] has 3 digits.
[1,1,4] has 3 digits.
[8,8,2] + [1,1,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[8,8] + [1,1] , A=[6] , C=0 , 8+1+0=9 , A->9 , C->0
[8] + [1] , A=[9,6] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,6] C=0 , END
</scratch>
996
| 996 |
Input:
760+116
Target:
| Input:
760+116
Target:
<scratch>
[7,6,0] has 3 digits.
[1,1,6] has 3 digits.
[7,6,0] + [1,1,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[7,6] + [1,1] , A=[6] , C=0 , 6+1+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:
505+10
Target:
| Input:
505+10
Target:
<scratch>
[5,0,5] has 3 digits.
[1,0] has 2 digits.
[5,0,5] + [1,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[5,0] + [1] , A=[5] , C=0 , 0+1+0=1 , A->1 , C->0
[5] + [] , A=[1,5] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,1,5] C=0 , END
</scratch>
515
| 515 |
Input:
450+133
Target:
| Input:
450+133
Target:
<scratch>
[4,5,0] has 3 digits.
[1,3,3] has 3 digits.
[4,5,0] + [1,3,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[4,5] + [1,3] , A=[3] , C=0 , 5+3+0=8 , A->8 , C->0
[4] + [1] , A=[8,3] , C=0 , 4+1+0=5 , A->5 , C->0
[] + [] , A=[5,8,3] C=0 , END
</scratch>
583
| 583 |
Input:
996+827
Target:
| Input:
996+827
Target:
<scratch>
[9,9,6] has 3 digits.
[8,2,7] has 3 digits.
[9,9,6] + [8,2,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[9,9] + [8,2] , A=[3] , C=1 , 9+2+1=12 , A->2 , C->1
[9] + [8] , A=[2,3] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,2,3] C=1 , END
</scratch>
1823
| 1823 |
Input:
621+318
Target:
| Input:
621+318
Target:
<scratch>
[6,2,1] has 3 digits.
[3,1,8] has 3 digits.
[6,2,1] + [3,1,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[6,2] + [3,1] , A=[9] , C=0 , 2+1+0=3 , A->3 , C->0
[6] + [3] , A=[3,9] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,3,9] C=0 , END
</scratch>
939
| 939 |
Input:
598+758
Target:
| Input:
598+758
Target:
<scratch>
[5,9,8] has 3 digits.
[7,5,8] has 3 digits.
[5,9,8] + [7,5,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,9] + [7,5] , A=[6] , C=1 , 9+5+1=15 , A->5 , C->1
[5] + [7] , A=[5,6] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,5,6] C=1 , END
</scratch>
1356
| 1356 |
Input:
738+762
Target:
| Input:
738+762
Target:
<scratch>
[7,3,8] has 3 digits.
[7,6,2] has 3 digits.
[7,3,8] + [7,6,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[7,3] + [7,6] , A=[0] , C=1 , 3+6+1=10 , A->0 , C->1
[7] + [7] , A=[0,0] , C=1 , 7+7+1=15 , A->5 , C->1
[] + [] , A=[5,0,0] C=1 , END
</scratch>
1500
| 1500 |
Input:
664+358
Target:
| Input:
664+358
Target:
<scratch>
[6,6,4] has 3 digits.
[3,5,8] has 3 digits.
[6,6,4] + [3,5,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[6,6] + [3,5] , A=[2] , C=1 , 6+5+1=12 , A->2 , C->1
[6] + [3] , A=[2,2] , C=1 , 6+3+1=10 , A->0 , C->1
[] + [] , A=[0,2,2] C=1 , END
</scratch>
1022
| 1022 |
Input:
695+489
Target:
| Input:
695+489
Target:
<scratch>
[6,9,5] has 3 digits.
[4,8,9] has 3 digits.
[6,9,5] + [4,8,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[6,9] + [4,8] , A=[4] , C=1 , 9+8+1=18 , A->8 , C->1
[6] + [4] , A=[8,4] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,8,4] C=1 , END
</scratch>
1184
| 1184 |
Input:
35+413
Target:
| Input:
35+413
Target:
<scratch>
[3,5] has 2 digits.
[4,1,3] has 3 digits.
[3,5] + [4,1,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[3] + [4,1] , A=[8] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [4] , A=[4,8] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,4,8] C=0 , END
</scratch>
448
| 448 |
Input:
99+903
Target:
| Input:
99+903
Target:
<scratch>
[9,9] has 2 digits.
[9,0,3] has 3 digits.
[9,9] + [9,0,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[9] + [9,0] , A=[2] , C=1 , 9+0+1=10 , A->0 , C->1
[] + [9] , A=[0,2] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
106+163
Target:
| Input:
106+163
Target:
<scratch>
[1,0,6] has 3 digits.
[1,6,3] has 3 digits.
[1,0,6] + [1,6,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[1,0] + [1,6] , A=[9] , C=0 , 0+6+0=6 , A->6 , C->0
[1] + [1] , A=[6,9] , C=0 , 1+1+0=2 , A->2 , C->0
[] + [] , A=[2,6,9] C=0 , END
</scratch>
269
| 269 |
Input:
245+969
Target:
| Input:
245+969
Target:
<scratch>
[2,4,5] has 3 digits.
[9,6,9] has 3 digits.
[2,4,5] + [9,6,9] , A=[] , C=0 , 5+9+0=14 , A->4 , C->1
[2,4] + [9,6] , A=[4] , C=1 , 4+6+1=11 , A->1 , C->1
[2] + [9] , A=[1,4] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,1,4] C=1 , END
</scratch>
1214
| 1214 |
Input:
346+113
Target:
| Input:
346+113
Target:
<scratch>
[3,4,6] has 3 digits.
[1,1,3] has 3 digits.
[3,4,6] + [1,1,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[3,4] + [1,1] , A=[9] , C=0 , 4+1+0=5 , A->5 , C->0
[3] + [1] , A=[5,9] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,5,9] C=0 , END
</scratch>
459
| 459 |
Input:
406+80
Target:
| Input:
406+80
Target:
<scratch>
[4,0,6] has 3 digits.
[8,0] has 2 digits.
[4,0,6] + [8,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[4,0] + [8] , A=[6] , C=0 , 0+8+0=8 , A->8 , C->0
[4] + [] , A=[8,6] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,8,6] C=0 , END
</scratch>
486
| 486 |
Input:
807+151
Target:
| Input:
807+151
Target:
<scratch>
[8,0,7] has 3 digits.
[1,5,1] has 3 digits.
[8,0,7] + [1,5,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[8,0] + [1,5] , A=[8] , C=0 , 0+5+0=5 , A->5 , C->0
[8] + [1] , A=[5,8] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,5,8] C=0 , END
</scratch>
958
| 958 |
Input:
746+887
Target:
| Input:
746+887
Target:
<scratch>
[7,4,6] has 3 digits.
[8,8,7] has 3 digits.
[7,4,6] + [8,8,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7,4] + [8,8] , A=[3] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [8] , A=[3,3] , C=1 , 7+8+1=16 , A->6 , C->1
[] + [] , A=[6,3,3] C=1 , END
</scratch>
1633
| 1633 |
Input:
699+642
Target:
| Input:
699+642
Target:
<scratch>
[6,9,9] has 3 digits.
[6,4,2] has 3 digits.
[6,9,9] + [6,4,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[6,9] + [6,4] , A=[1] , C=1 , 9+4+1=14 , A->4 , C->1
[6] + [6] , A=[4,1] , C=1 , 6+6+1=13 , A->3 , C->1
[] + [] , A=[3,4,1] C=1 , END
</scratch>
1341
| 1341 |
Input:
239+962
Target:
| Input:
239+962
Target:
<scratch>
[2,3,9] has 3 digits.
[9,6,2] has 3 digits.
[2,3,9] + [9,6,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[2,3] + [9,6] , A=[1] , C=1 , 3+6+1=10 , A->0 , C->1
[2] + [9] , A=[0,1] , C=1 , 2+9+1=12 , A->2 , C->1
[] + [] , A=[2,0,1] C=1 , END
</scratch>
1201
| 1201 |
Input:
299+891
Target:
| Input:
299+891
Target:
<scratch>
[2,9,9] has 3 digits.
[8,9,1] has 3 digits.
[2,9,9] + [8,9,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[2,9] + [8,9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[2] + [8] , A=[9,0] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,9,0] C=1 , END
</scratch>
1190
| 1190 |
Input:
929+274
Target:
| Input:
929+274
Target:
<scratch>
[9,2,9] has 3 digits.
[2,7,4] has 3 digits.
[9,2,9] + [2,7,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[9,2] + [2,7] , A=[3] , C=1 , 2+7+1=10 , A->0 , C->1
[9] + [2] , A=[0,3] , C=1 , 9+2+1=12 , A->2 , C->1
[] + [] , A=[2,0,3] C=1 , END
</scratch>
1203
| 1203 |
Input:
187+701
Target:
| Input:
187+701
Target:
<scratch>
[1,8,7] has 3 digits.
[7,0,1] has 3 digits.
[1,8,7] + [7,0,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[1,8] + [7,0] , A=[8] , C=0 , 8+0+0=8 , A->8 , C->0
[1] + [7] , A=[8,8] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,8,8] C=0 , END
</scratch>
888
| 888 |
Input:
104+294
Target:
| Input:
104+294
Target:
<scratch>
[1,0,4] has 3 digits.
[2,9,4] has 3 digits.
[1,0,4] + [2,9,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[1,0] + [2,9] , A=[8] , C=0 , 0+9+0=9 , A->9 , C->0
[1] + [2] , A=[9,8] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,9,8] C=0 , END
</scratch>
398
| 398 |
Input:
174+828
Target:
| Input:
174+828
Target:
<scratch>
[1,7,4] has 3 digits.
[8,2,8] has 3 digits.
[1,7,4] + [8,2,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[1,7] + [8,2] , A=[2] , C=1 , 7+2+1=10 , A->0 , C->1
[1] + [8] , A=[0,2] , C=1 , 1+8+1=10 , A->0 , C->1
[] + [] , A=[0,0,2] C=1 , END
</scratch>
1002
| 1002 |
Input:
173+526
Target:
| Input:
173+526
Target:
<scratch>
[1,7,3] has 3 digits.
[5,2,6] has 3 digits.
[1,7,3] + [5,2,6] , A=[] , C=0 , 3+6+0=9 , A->9 , C->0
[1,7] + [5,2] , A=[9] , C=0 , 7+2+0=9 , A->9 , C->0
[1] + [5] , A=[9,9] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,9,9] C=0 , END
</scratch>
699
| 699 |
Input:
51+305
Target:
| Input:
51+305
Target:
<scratch>
[5,1] has 2 digits.
[3,0,5] has 3 digits.
[5,1] + [3,0,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[5] + [3,0] , A=[6] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [3] , A=[5,6] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,5,6] C=0 , END
</scratch>
356
| 356 |
Input:
75+120
Target:
| Input:
75+120
Target:
<scratch>
[7,5] has 2 digits.
[1,2,0] has 3 digits.
[7,5] + [1,2,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[7] + [1,2] , A=[5] , C=0 , 7+2+0=9 , A->9 , C->0
[] + [1] , A=[9,5] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,9,5] C=0 , END
</scratch>
195
| 195 |
Input:
409+794
Target:
| Input:
409+794
Target:
<scratch>
[4,0,9] has 3 digits.
[7,9,4] has 3 digits.
[4,0,9] + [7,9,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[4,0] + [7,9] , A=[3] , C=1 , 0+9+1=10 , A->0 , C->1
[4] + [7] , A=[0,3] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,3] C=1 , END
</scratch>
1203
| 1203 |
Input:
947+894
Target:
| Input:
947+894
Target:
<scratch>
[9,4,7] has 3 digits.
[8,9,4] has 3 digits.
[9,4,7] + [8,9,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[9,4] + [8,9] , A=[1] , C=1 , 4+9+1=14 , A->4 , C->1
[9] + [8] , A=[4,1] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,4,1] C=1 , END
</scratch>
1841
| 1841 |
Input:
462+839
Target:
| Input:
462+839
Target:
<scratch>
[4,6,2] has 3 digits.
[8,3,9] has 3 digits.
[4,6,2] + [8,3,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[4,6] + [8,3] , A=[1] , C=1 , 6+3+1=10 , A->0 , C->1
[4] + [8] , A=[0,1] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,0,1] C=1 , END
</scratch>
1301
| 1301 |
Input:
545+966
Target:
| Input:
545+966
Target:
<scratch>
[5,4,5] has 3 digits.
[9,6,6] has 3 digits.
[5,4,5] + [9,6,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[5,4] + [9,6] , A=[1] , C=1 , 4+6+1=11 , A->1 , C->1
[5] + [9] , A=[1,1] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,1,1] C=1 , END
</scratch>
1511
| 1511 |
Input:
855+587
Target:
| Input:
855+587
Target:
<scratch>
[8,5,5] has 3 digits.
[5,8,7] has 3 digits.
[8,5,5] + [5,8,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[8,5] + [5,8] , A=[2] , C=1 , 5+8+1=14 , A->4 , C->1
[8] + [5] , A=[4,2] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,4,2] C=1 , END
</scratch>
1442
| 1442 |
Input:
621+301
Target:
| Input:
621+301
Target:
<scratch>
[6,2,1] has 3 digits.
[3,0,1] has 3 digits.
[6,2,1] + [3,0,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[6,2] + [3,0] , A=[2] , C=0 , 2+0+0=2 , A->2 , C->0
[6] + [3] , A=[2,2] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,2,2] C=0 , END
</scratch>
922
| 922 |
Input:
558+320
Target:
| Input:
558+320
Target:
<scratch>
[5,5,8] has 3 digits.
[3,2,0] has 3 digits.
[5,5,8] + [3,2,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[5,5] + [3,2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[5] + [3] , A=[7,8] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,7,8] C=0 , END
</scratch>
878
| 878 |
Input:
556+420
Target:
| Input:
556+420
Target:
<scratch>
[5,5,6] has 3 digits.
[4,2,0] has 3 digits.
[5,5,6] + [4,2,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[5,5] + [4,2] , A=[6] , C=0 , 5+2+0=7 , A->7 , C->0
[5] + [4] , A=[7,6] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,7,6] C=0 , END
</scratch>
976
| 976 |
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