input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
802+618
Target:
| Input:
802+618
Target:
<scratch>
[8,0,2] has 3 digits.
[6,1,8] has 3 digits.
[8,0,2] + [6,1,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[8,0] + [6,1] , A=[0] , C=1 , 0+1+1=2 , A->2 , C->0
[8] + [6] , A=[2,0] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,2,0] C=1 , END
</scratch>
1420
| 1420 |
Input:
826+279
Target:
| Input:
826+279
Target:
<scratch>
[8,2,6] has 3 digits.
[2,7,9] has 3 digits.
[8,2,6] + [2,7,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[8,2] + [2,7] , A=[5] , C=1 , 2+7+1=10 , A->0 , C->1
[8] + [2] , A=[0,5] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,0,5] C=1 , END
</scratch>
1105
| 1105 |
Input:
957+733
Target:
| Input:
957+733
Target:
<scratch>
[9,5,7] has 3 digits.
[7,3,3] has 3 digits.
[9,5,7] + [7,3,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,5] + [7,3] , A=[0] , C=1 , 5+3+1=9 , A->9 , C->0
[9] + [7] , A=[9,0] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,9,0] C=1 , END
</scratch>
1690
| 1690 |
Input:
811+386
Target:
| Input:
811+386
Target:
<scratch>
[8,1,1] has 3 digits.
[3,8,6] has 3 digits.
[8,1,1] + [3,8,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[8,1] + [3,8] , A=[7] , C=0 , 1+8+0=9 , A->9 , C->0
[8] + [3] , A=[9,7] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,9,7] C=1 , END
</scratch>
1197
| 1197 |
Input:
568+758
Target:
| Input:
568+758
Target:
<scratch>
[5,6,8] has 3 digits.
[7,5,8] has 3 digits.
[5,6,8] + [7,5,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[5,6] + [7,5] , A=[6] , C=1 , 6+5+1=12 , A->2 , C->1
[5] + [7] , A=[2,6] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,2,6] C=1 , END
</scratch>
1326
| 1326 |
Input:
766+427
Target:
| Input:
766+427
Target:
<scratch>
[7,6,6] has 3 digits.
[4,2,7] has 3 digits.
[7,6,6] + [4,2,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[7,6] + [4,2] , A=[3] , C=1 , 6+2+1=9 , A->9 , C->0
[7] + [4] , A=[9,3] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,9,3] C=1 , END
</scratch>
1193
| 1193 |
Input:
704+79
Target:
| Input:
704+79
Target:
<scratch>
[7,0,4] has 3 digits.
[7,9] has 2 digits.
[7,0,4] + [7,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[7,0] + [7] , A=[3] , C=1 , 0+7+1=8 , A->8 , C->0
[7] + [] , A=[8,3] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,8,3] C=0 , END
</scratch>
783
| 783 |
Input:
597+93
Target:
| Input:
597+93
Target:
<scratch>
[5,9,7] has 3 digits.
[9,3] has 2 digits.
[5,9,7] + [9,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[5,9] + [9] , A=[0] , C=1 , 9+9+1=19 , A->9 , C->1
[5] + [] , A=[9,0] , C=1 , 5+0+1=6 , A->6 , C->0
[] + [] , A=[6,9,0] C=0 , END
</scratch>
690
| 690 |
Input:
867+125
Target:
| Input:
867+125
Target:
<scratch>
[8,6,7] has 3 digits.
[1,2,5] has 3 digits.
[8,6,7] + [1,2,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[8,6] + [1,2] , A=[2] , C=1 , 6+2+1=9 , A->9 , C->0
[8] + [1] , A=[9,2] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,9,2] C=0 , END
</scratch>
992
| 992 |
Input:
814+312
Target:
| Input:
814+312
Target:
<scratch>
[8,1,4] has 3 digits.
[3,1,2] has 3 digits.
[8,1,4] + [3,1,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[8,1] + [3,1] , A=[6] , C=0 , 1+1+0=2 , A->2 , C->0
[8] + [3] , A=[2,6] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
426+80
Target:
| Input:
426+80
Target:
<scratch>
[4,2,6] has 3 digits.
[8,0] has 2 digits.
[4,2,6] + [8,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[4,2] + [8] , A=[6] , C=0 , 2+8+0=10 , A->0 , C->1
[4] + [] , A=[0,6] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,0,6] C=0 , END
</scratch>
506
| 506 |
Input:
574+777
Target:
| Input:
574+777
Target:
<scratch>
[5,7,4] has 3 digits.
[7,7,7] has 3 digits.
[5,7,4] + [7,7,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[5,7] + [7,7] , A=[1] , C=1 , 7+7+1=15 , A->5 , C->1
[5] + [7] , A=[5,1] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,5,1] C=1 , END
</scratch>
1351
| 1351 |
Input:
767+682
Target:
| Input:
767+682
Target:
<scratch>
[7,6,7] has 3 digits.
[6,8,2] has 3 digits.
[7,6,7] + [6,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[7,6] + [6,8] , A=[9] , C=0 , 6+8+0=14 , A->4 , C->1
[7] + [6] , A=[4,9] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,4,9] C=1 , END
</scratch>
1449
| 1449 |
Input:
402+963
Target:
| Input:
402+963
Target:
<scratch>
[4,0,2] has 3 digits.
[9,6,3] has 3 digits.
[4,0,2] + [9,6,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[4,0] + [9,6] , A=[5] , C=0 , 0+6+0=6 , A->6 , C->0
[4] + [9] , A=[6,5] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,6,5] C=1 , END
</scratch>
1365
| 1365 |
Input:
173+514
Target:
| Input:
173+514
Target:
<scratch>
[1,7,3] has 3 digits.
[5,1,4] has 3 digits.
[1,7,3] + [5,1,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,7] + [5,1] , A=[7] , C=0 , 7+1+0=8 , A->8 , C->0
[1] + [5] , A=[8,7] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,8,7] C=0 , END
</scratch>
687
| 687 |
Input:
702+486
Target:
| Input:
702+486
Target:
<scratch>
[7,0,2] has 3 digits.
[4,8,6] has 3 digits.
[7,0,2] + [4,8,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[7,0] + [4,8] , A=[8] , C=0 , 0+8+0=8 , A->8 , C->0
[7] + [4] , A=[8,8] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,8,8] C=1 , END
</scratch>
1188
| 1188 |
Input:
116+775
Target:
| Input:
116+775
Target:
<scratch>
[1,1,6] has 3 digits.
[7,7,5] has 3 digits.
[1,1,6] + [7,7,5] , A=[] , C=0 , 6+5+0=11 , A->1 , C->1
[1,1] + [7,7] , A=[1] , C=1 , 1+7+1=9 , A->9 , C->0
[1] + [7] , A=[9,1] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,9,1] C=0 , END
</scratch>
891
| 891 |
Input:
836+863
Target:
| Input:
836+863
Target:
<scratch>
[8,3,6] has 3 digits.
[8,6,3] has 3 digits.
[8,3,6] + [8,6,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[8,3] + [8,6] , A=[9] , C=0 , 3+6+0=9 , A->9 , C->0
[8] + [8] , A=[9,9] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,9,9] C=1 , END
</scratch>
1699
| 1699 |
Input:
509+435
Target:
| Input:
509+435
Target:
<scratch>
[5,0,9] has 3 digits.
[4,3,5] has 3 digits.
[5,0,9] + [4,3,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[5,0] + [4,3] , A=[4] , C=1 , 0+3+1=4 , A->4 , C->0
[5] + [4] , A=[4,4] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,4,4] C=0 , END
</scratch>
944
| 944 |
Input:
309+634
Target:
| Input:
309+634
Target:
<scratch>
[3,0,9] has 3 digits.
[6,3,4] has 3 digits.
[3,0,9] + [6,3,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[3,0] + [6,3] , A=[3] , C=1 , 0+3+1=4 , A->4 , C->0
[3] + [6] , A=[4,3] , C=0 , 3+6+0=9 , A->9 , C->0
[] + [] , A=[9,4,3] C=0 , END
</scratch>
943
| 943 |
Input:
880+437
Target:
| Input:
880+437
Target:
<scratch>
[8,8,0] has 3 digits.
[4,3,7] has 3 digits.
[8,8,0] + [4,3,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[8,8] + [4,3] , A=[7] , C=0 , 8+3+0=11 , A->1 , C->1
[8] + [4] , A=[1,7] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,1,7] C=1 , END
</scratch>
1317
| 1317 |
Input:
690+971
Target:
| Input:
690+971
Target:
<scratch>
[6,9,0] has 3 digits.
[9,7,1] has 3 digits.
[6,9,0] + [9,7,1] , A=[] , C=0 , 0+1+0=1 , A->1 , C->0
[6,9] + [9,7] , A=[1] , C=0 , 9+7+0=16 , A->6 , C->1
[6] + [9] , A=[6,1] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,6,1] C=1 , END
</scratch>
1661
| 1661 |
Input:
285+275
Target:
| Input:
285+275
Target:
<scratch>
[2,8,5] has 3 digits.
[2,7,5] has 3 digits.
[2,8,5] + [2,7,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[2,8] + [2,7] , A=[0] , C=1 , 8+7+1=16 , A->6 , C->1
[2] + [2] , A=[6,0] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,6,0] C=0 , END
</scratch>
560
| 560 |
Input:
171+977
Target:
| Input:
171+977
Target:
<scratch>
[1,7,1] has 3 digits.
[9,7,7] has 3 digits.
[1,7,1] + [9,7,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,7] + [9,7] , A=[8] , C=0 , 7+7+0=14 , A->4 , C->1
[1] + [9] , A=[4,8] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,4,8] C=1 , END
</scratch>
1148
| 1148 |
Input:
691+543
Target:
| Input:
691+543
Target:
<scratch>
[6,9,1] has 3 digits.
[5,4,3] has 3 digits.
[6,9,1] + [5,4,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[6,9] + [5,4] , A=[4] , C=0 , 9+4+0=13 , A->3 , C->1
[6] + [5] , A=[3,4] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,3,4] C=1 , END
</scratch>
1234
| 1234 |
Input:
4+113
Target:
| Input:
4+113
Target:
<scratch>
[4] has 1 digits.
[1,1,3] has 3 digits.
[4] + [1,1,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [1,1] , A=[7] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [1] , A=[1,7] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,1,7] C=0 , END
</scratch>
117
| 117 |
Input:
428+852
Target:
| Input:
428+852
Target:
<scratch>
[4,2,8] has 3 digits.
[8,5,2] has 3 digits.
[4,2,8] + [8,5,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[4,2] + [8,5] , A=[0] , C=1 , 2+5+1=8 , A->8 , C->0
[4] + [8] , A=[8,0] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [] , A=[2,8,0] C=1 , END
</scratch>
1280
| 1280 |
Input:
277+219
Target:
| Input:
277+219
Target:
<scratch>
[2,7,7] has 3 digits.
[2,1,9] has 3 digits.
[2,7,7] + [2,1,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[2,7] + [2,1] , A=[6] , C=1 , 7+1+1=9 , A->9 , C->0
[2] + [2] , A=[9,6] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,9,6] C=0 , END
</scratch>
496
| 496 |
Input:
132+537
Target:
| Input:
132+537
Target:
<scratch>
[1,3,2] has 3 digits.
[5,3,7] has 3 digits.
[1,3,2] + [5,3,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[1,3] + [5,3] , A=[9] , C=0 , 3+3+0=6 , A->6 , C->0
[1] + [5] , A=[6,9] , C=0 , 1+5+0=6 , A->6 , C->0
[] + [] , A=[6,6,9] C=0 , END
</scratch>
669
| 669 |
Input:
502+351
Target:
| Input:
502+351
Target:
<scratch>
[5,0,2] has 3 digits.
[3,5,1] has 3 digits.
[5,0,2] + [3,5,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[5,0] + [3,5] , A=[3] , C=0 , 0+5+0=5 , A->5 , C->0
[5] + [3] , A=[5,3] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,5,3] C=0 , END
</scratch>
853
| 853 |
Input:
691+494
Target:
| Input:
691+494
Target:
<scratch>
[6,9,1] has 3 digits.
[4,9,4] has 3 digits.
[6,9,1] + [4,9,4] , A=[] , C=0 , 1+4+0=5 , A->5 , C->0
[6,9] + [4,9] , A=[5] , C=0 , 9+9+0=18 , A->8 , C->1
[6] + [4] , A=[8,5] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,8,5] C=1 , END
</scratch>
1185
| 1185 |
Input:
693+258
Target:
| Input:
693+258
Target:
<scratch>
[6,9,3] has 3 digits.
[2,5,8] has 3 digits.
[6,9,3] + [2,5,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[6,9] + [2,5] , A=[1] , C=1 , 9+5+1=15 , A->5 , C->1
[6] + [2] , A=[5,1] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,5,1] C=0 , END
</scratch>
951
| 951 |
Input:
594+975
Target:
| Input:
594+975
Target:
<scratch>
[5,9,4] has 3 digits.
[9,7,5] has 3 digits.
[5,9,4] + [9,7,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[5,9] + [9,7] , A=[9] , C=0 , 9+7+0=16 , A->6 , C->1
[5] + [9] , A=[6,9] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,6,9] C=1 , END
</scratch>
1569
| 1569 |
Input:
559+507
Target:
| Input:
559+507
Target:
<scratch>
[5,5,9] has 3 digits.
[5,0,7] has 3 digits.
[5,5,9] + [5,0,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[5,5] + [5,0] , A=[6] , C=1 , 5+0+1=6 , A->6 , C->0
[5] + [5] , A=[6,6] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,6,6] C=1 , END
</scratch>
1066
| 1066 |
Input:
884+294
Target:
| Input:
884+294
Target:
<scratch>
[8,8,4] has 3 digits.
[2,9,4] has 3 digits.
[8,8,4] + [2,9,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[8,8] + [2,9] , A=[8] , C=0 , 8+9+0=17 , A->7 , C->1
[8] + [2] , A=[7,8] , C=1 , 8+2+1=11 , A->1 , C->1
[] + [] , A=[1,7,8] C=1 , END
</scratch>
1178
| 1178 |
Input:
103+499
Target:
| Input:
103+499
Target:
<scratch>
[1,0,3] has 3 digits.
[4,9,9] has 3 digits.
[1,0,3] + [4,9,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[1,0] + [4,9] , A=[2] , C=1 , 0+9+1=10 , A->0 , C->1
[1] + [4] , A=[0,2] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,0,2] C=0 , END
</scratch>
602
| 602 |
Input:
875+548
Target:
| Input:
875+548
Target:
<scratch>
[8,7,5] has 3 digits.
[5,4,8] has 3 digits.
[8,7,5] + [5,4,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[8,7] + [5,4] , A=[3] , C=1 , 7+4+1=12 , A->2 , C->1
[8] + [5] , A=[2,3] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,2,3] C=1 , END
</scratch>
1423
| 1423 |
Input:
274+513
Target:
| Input:
274+513
Target:
<scratch>
[2,7,4] has 3 digits.
[5,1,3] has 3 digits.
[2,7,4] + [5,1,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[2,7] + [5,1] , A=[7] , C=0 , 7+1+0=8 , A->8 , C->0
[2] + [5] , A=[8,7] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,8,7] C=0 , END
</scratch>
787
| 787 |
Input:
713+908
Target:
| Input:
713+908
Target:
<scratch>
[7,1,3] has 3 digits.
[9,0,8] has 3 digits.
[7,1,3] + [9,0,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[7,1] + [9,0] , A=[1] , C=1 , 1+0+1=2 , A->2 , C->0
[7] + [9] , A=[2,1] , C=0 , 7+9+0=16 , A->6 , C->1
[] + [] , A=[6,2,1] C=1 , END
</scratch>
1621
| 1621 |
Input:
351+260
Target:
| Input:
351+260
Target:
<scratch>
[3,5,1] has 3 digits.
[2,6,0] has 3 digits.
[3,5,1] + [2,6,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[3,5] + [2,6] , A=[1] , C=0 , 5+6+0=11 , A->1 , C->1
[3] + [2] , A=[1,1] , C=1 , 3+2+1=6 , A->6 , C->0
[] + [] , A=[6,1,1] C=0 , END
</scratch>
611
| 611 |
Input:
459+29
Target:
| Input:
459+29
Target:
<scratch>
[4,5,9] has 3 digits.
[2,9] has 2 digits.
[4,5,9] + [2,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[4,5] + [2] , A=[8] , C=1 , 5+2+1=8 , A->8 , C->0
[4] + [] , A=[8,8] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,8,8] C=0 , END
</scratch>
488
| 488 |
Input:
138+779
Target:
| Input:
138+779
Target:
<scratch>
[1,3,8] has 3 digits.
[7,7,9] has 3 digits.
[1,3,8] + [7,7,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[1,3] + [7,7] , A=[7] , C=1 , 3+7+1=11 , A->1 , C->1
[1] + [7] , A=[1,7] , C=1 , 1+7+1=9 , A->9 , C->0
[] + [] , A=[9,1,7] C=0 , END
</scratch>
917
| 917 |
Input:
276+416
Target:
| Input:
276+416
Target:
<scratch>
[2,7,6] has 3 digits.
[4,1,6] has 3 digits.
[2,7,6] + [4,1,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[2,7] + [4,1] , A=[2] , C=1 , 7+1+1=9 , A->9 , C->0
[2] + [4] , A=[9,2] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [] , A=[6,9,2] C=0 , END
</scratch>
692
| 692 |
Input:
394+63
Target:
| Input:
394+63
Target:
<scratch>
[3,9,4] has 3 digits.
[6,3] has 2 digits.
[3,9,4] + [6,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[3,9] + [6] , A=[7] , C=0 , 9+6+0=15 , A->5 , C->1
[3] + [] , A=[5,7] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,5,7] C=0 , END
</scratch>
457
| 457 |
Input:
407+426
Target:
| Input:
407+426
Target:
<scratch>
[4,0,7] has 3 digits.
[4,2,6] has 3 digits.
[4,0,7] + [4,2,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[4,0] + [4,2] , A=[3] , C=1 , 0+2+1=3 , A->3 , C->0
[4] + [4] , A=[3,3] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,3,3] C=0 , END
</scratch>
833
| 833 |
Input:
79+223
Target:
| Input:
79+223
Target:
<scratch>
[7,9] has 2 digits.
[2,2,3] has 3 digits.
[7,9] + [2,2,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[7] + [2,2] , A=[2] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [2] , A=[0,2] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,0,2] C=0 , END
</scratch>
302
| 302 |
Input:
53+289
Target:
| Input:
53+289
Target:
<scratch>
[5,3] has 2 digits.
[2,8,9] has 3 digits.
[5,3] + [2,8,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[5] + [2,8] , A=[2] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [2] , A=[4,2] , C=1 , 0+2+1=3 , A->3 , C->0
[] + [] , A=[3,4,2] C=0 , END
</scratch>
342
| 342 |
Input:
420+782
Target:
| Input:
420+782
Target:
<scratch>
[4,2,0] has 3 digits.
[7,8,2] has 3 digits.
[4,2,0] + [7,8,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[4,2] + [7,8] , A=[2] , C=0 , 2+8+0=10 , A->0 , C->1
[4] + [7] , A=[0,2] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,0,2] C=1 , END
</scratch>
1202
| 1202 |
Input:
318+305
Target:
| Input:
318+305
Target:
<scratch>
[3,1,8] has 3 digits.
[3,0,5] has 3 digits.
[3,1,8] + [3,0,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[3,1] + [3,0] , A=[3] , C=1 , 1+0+1=2 , A->2 , C->0
[3] + [3] , A=[2,3] , C=0 , 3+3+0=6 , A->6 , C->0
[] + [] , A=[6,2,3] C=0 , END
</scratch>
623
| 623 |
Input:
32+791
Target:
| Input:
32+791
Target:
<scratch>
[3,2] has 2 digits.
[7,9,1] has 3 digits.
[3,2] + [7,9,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[3] + [7,9] , A=[3] , C=0 , 3+9+0=12 , A->2 , C->1
[] + [7] , A=[2,3] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,2,3] C=0 , END
</scratch>
823
| 823 |
Input:
550+603
Target:
| Input:
550+603
Target:
<scratch>
[5,5,0] has 3 digits.
[6,0,3] has 3 digits.
[5,5,0] + [6,0,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[5,5] + [6,0] , A=[3] , C=0 , 5+0+0=5 , A->5 , C->0
[5] + [6] , A=[5,3] , C=0 , 5+6+0=11 , A->1 , C->1
[] + [] , A=[1,5,3] C=1 , END
</scratch>
1153
| 1153 |
Input:
193+581
Target:
| Input:
193+581
Target:
<scratch>
[1,9,3] has 3 digits.
[5,8,1] has 3 digits.
[1,9,3] + [5,8,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[1,9] + [5,8] , A=[4] , C=0 , 9+8+0=17 , A->7 , C->1
[1] + [5] , A=[7,4] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,7,4] C=0 , END
</scratch>
774
| 774 |
Input:
284+215
Target:
| Input:
284+215
Target:
<scratch>
[2,8,4] has 3 digits.
[2,1,5] has 3 digits.
[2,8,4] + [2,1,5] , A=[] , C=0 , 4+5+0=9 , A->9 , C->0
[2,8] + [2,1] , A=[9] , C=0 , 8+1+0=9 , A->9 , C->0
[2] + [2] , A=[9,9] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [] , A=[4,9,9] C=0 , END
</scratch>
499
| 499 |
Input:
471+63
Target:
| Input:
471+63
Target:
<scratch>
[4,7,1] has 3 digits.
[6,3] has 2 digits.
[4,7,1] + [6,3] , A=[] , C=0 , 1+3+0=4 , A->4 , C->0
[4,7] + [6] , A=[4] , C=0 , 7+6+0=13 , A->3 , C->1
[4] + [] , A=[3,4] , C=1 , 4+0+1=5 , A->5 , C->0
[] + [] , A=[5,3,4] C=0 , END
</scratch>
534
| 534 |
Input:
823+113
Target:
| Input:
823+113
Target:
<scratch>
[8,2,3] has 3 digits.
[1,1,3] has 3 digits.
[8,2,3] + [1,1,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[8,2] + [1,1] , A=[6] , C=0 , 2+1+0=3 , A->3 , C->0
[8] + [1] , A=[3,6] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,3,6] C=0 , END
</scratch>
936
| 936 |
Input:
806+549
Target:
| Input:
806+549
Target:
<scratch>
[8,0,6] has 3 digits.
[5,4,9] has 3 digits.
[8,0,6] + [5,4,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[8,0] + [5,4] , A=[5] , C=1 , 0+4+1=5 , A->5 , C->0
[8] + [5] , A=[5,5] , C=0 , 8+5+0=13 , A->3 , C->1
[] + [] , A=[3,5,5] C=1 , END
</scratch>
1355
| 1355 |
Input:
269+565
Target:
| Input:
269+565
Target:
<scratch>
[2,6,9] has 3 digits.
[5,6,5] has 3 digits.
[2,6,9] + [5,6,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[2,6] + [5,6] , A=[4] , C=1 , 6+6+1=13 , A->3 , C->1
[2] + [5] , A=[3,4] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,3,4] C=0 , END
</scratch>
834
| 834 |
Input:
914+940
Target:
| Input:
914+940
Target:
<scratch>
[9,1,4] has 3 digits.
[9,4,0] has 3 digits.
[9,1,4] + [9,4,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[9,1] + [9,4] , A=[4] , C=0 , 1+4+0=5 , A->5 , C->0
[9] + [9] , A=[5,4] , C=0 , 9+9+0=18 , A->8 , C->1
[] + [] , A=[8,5,4] C=1 , END
</scratch>
1854
| 1854 |
Input:
638+272
Target:
| Input:
638+272
Target:
<scratch>
[6,3,8] has 3 digits.
[2,7,2] has 3 digits.
[6,3,8] + [2,7,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[6,3] + [2,7] , A=[0] , C=1 , 3+7+1=11 , A->1 , C->1
[6] + [2] , A=[1,0] , C=1 , 6+2+1=9 , A->9 , C->0
[] + [] , A=[9,1,0] C=0 , END
</scratch>
910
| 910 |
Input:
754+129
Target:
| Input:
754+129
Target:
<scratch>
[7,5,4] has 3 digits.
[1,2,9] has 3 digits.
[7,5,4] + [1,2,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[7,5] + [1,2] , A=[3] , C=1 , 5+2+1=8 , A->8 , C->0
[7] + [1] , A=[8,3] , C=0 , 7+1+0=8 , A->8 , C->0
[] + [] , A=[8,8,3] C=0 , END
</scratch>
883
| 883 |
Input:
121+617
Target:
| Input:
121+617
Target:
<scratch>
[1,2,1] has 3 digits.
[6,1,7] has 3 digits.
[1,2,1] + [6,1,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[1,2] + [6,1] , A=[8] , C=0 , 2+1+0=3 , A->3 , C->0
[1] + [6] , A=[3,8] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,3,8] C=0 , END
</scratch>
738
| 738 |
Input:
834+749
Target:
| Input:
834+749
Target:
<scratch>
[8,3,4] has 3 digits.
[7,4,9] has 3 digits.
[8,3,4] + [7,4,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[8,3] + [7,4] , A=[3] , C=1 , 3+4+1=8 , A->8 , C->0
[8] + [7] , A=[8,3] , C=0 , 8+7+0=15 , A->5 , C->1
[] + [] , A=[5,8,3] C=1 , END
</scratch>
1583
| 1583 |
Input:
108+823
Target:
| Input:
108+823
Target:
<scratch>
[1,0,8] has 3 digits.
[8,2,3] has 3 digits.
[1,0,8] + [8,2,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[1,0] + [8,2] , A=[1] , C=1 , 0+2+1=3 , A->3 , C->0
[1] + [8] , A=[3,1] , C=0 , 1+8+0=9 , A->9 , C->0
[] + [] , A=[9,3,1] C=0 , END
</scratch>
931
| 931 |
Input:
168+347
Target:
| Input:
168+347
Target:
<scratch>
[1,6,8] has 3 digits.
[3,4,7] has 3 digits.
[1,6,8] + [3,4,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[1,6] + [3,4] , A=[5] , C=1 , 6+4+1=11 , A->1 , C->1
[1] + [3] , A=[1,5] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,1,5] C=0 , END
</scratch>
515
| 515 |
Input:
905+152
Target:
| Input:
905+152
Target:
<scratch>
[9,0,5] has 3 digits.
[1,5,2] has 3 digits.
[9,0,5] + [1,5,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[9,0] + [1,5] , A=[7] , C=0 , 0+5+0=5 , A->5 , C->0
[9] + [1] , A=[5,7] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,5,7] C=1 , END
</scratch>
1057
| 1057 |
Input:
50+553
Target:
| Input:
50+553
Target:
<scratch>
[5,0] has 2 digits.
[5,5,3] has 3 digits.
[5,0] + [5,5,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[5] + [5,5] , A=[3] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [5] , A=[0,3] , C=1 , 0+5+1=6 , A->6 , C->0
[] + [] , A=[6,0,3] C=0 , END
</scratch>
603
| 603 |
Input:
523+603
Target:
| Input:
523+603
Target:
<scratch>
[5,2,3] has 3 digits.
[6,0,3] has 3 digits.
[5,2,3] + [6,0,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[5,2] + [6,0] , A=[6] , C=0 , 2+0+0=2 , A->2 , C->0
[5] + [6] , A=[2,6] , C=0 , 5+6+0=11 , A->1 , C->1
[] + [] , A=[1,2,6] C=1 , END
</scratch>
1126
| 1126 |
Input:
680+408
Target:
| Input:
680+408
Target:
<scratch>
[6,8,0] has 3 digits.
[4,0,8] has 3 digits.
[6,8,0] + [4,0,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[6,8] + [4,0] , A=[8] , C=0 , 8+0+0=8 , A->8 , C->0
[6] + [4] , A=[8,8] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,8,8] C=1 , END
</scratch>
1088
| 1088 |
Input:
48+601
Target:
| Input:
48+601
Target:
<scratch>
[4,8] has 2 digits.
[6,0,1] has 3 digits.
[4,8] + [6,0,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[4] + [6,0] , A=[9] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [6] , A=[4,9] , C=0 , 0+6+0=6 , A->6 , C->0
[] + [] , A=[6,4,9] C=0 , END
</scratch>
649
| 649 |
Input:
403+478
Target:
| Input:
403+478
Target:
<scratch>
[4,0,3] has 3 digits.
[4,7,8] has 3 digits.
[4,0,3] + [4,7,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[4,0] + [4,7] , A=[1] , C=1 , 0+7+1=8 , A->8 , C->0
[4] + [4] , A=[8,1] , C=0 , 4+4+0=8 , A->8 , C->0
[] + [] , A=[8,8,1] C=0 , END
</scratch>
881
| 881 |
Input:
518+576
Target:
| Input:
518+576
Target:
<scratch>
[5,1,8] has 3 digits.
[5,7,6] has 3 digits.
[5,1,8] + [5,7,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[5,1] + [5,7] , A=[4] , C=1 , 1+7+1=9 , A->9 , C->0
[5] + [5] , A=[9,4] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [] , A=[0,9,4] C=1 , END
</scratch>
1094
| 1094 |
Input:
105+730
Target:
| Input:
105+730
Target:
<scratch>
[1,0,5] has 3 digits.
[7,3,0] has 3 digits.
[1,0,5] + [7,3,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[1,0] + [7,3] , A=[5] , C=0 , 0+3+0=3 , A->3 , C->0
[1] + [7] , A=[3,5] , C=0 , 1+7+0=8 , A->8 , C->0
[] + [] , A=[8,3,5] C=0 , END
</scratch>
835
| 835 |
Input:
439+782
Target:
| Input:
439+782
Target:
<scratch>
[4,3,9] has 3 digits.
[7,8,2] has 3 digits.
[4,3,9] + [7,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[4,3] + [7,8] , A=[1] , C=1 , 3+8+1=12 , A->2 , C->1
[4] + [7] , A=[2,1] , C=1 , 4+7+1=12 , A->2 , C->1
[] + [] , A=[2,2,1] C=1 , END
</scratch>
1221
| 1221 |
Input:
608+470
Target:
| Input:
608+470
Target:
<scratch>
[6,0,8] has 3 digits.
[4,7,0] has 3 digits.
[6,0,8] + [4,7,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[6,0] + [4,7] , A=[8] , C=0 , 0+7+0=7 , A->7 , C->0
[6] + [4] , A=[7,8] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,7,8] C=1 , END
</scratch>
1078
| 1078 |
Input:
854+430
Target:
| Input:
854+430
Target:
<scratch>
[8,5,4] has 3 digits.
[4,3,0] has 3 digits.
[8,5,4] + [4,3,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[8,5] + [4,3] , A=[4] , C=0 , 5+3+0=8 , A->8 , C->0
[8] + [4] , A=[8,4] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,8,4] C=1 , END
</scratch>
1284
| 1284 |
Input:
248+302
Target:
| Input:
248+302
Target:
<scratch>
[2,4,8] has 3 digits.
[3,0,2] has 3 digits.
[2,4,8] + [3,0,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[2,4] + [3,0] , A=[0] , C=1 , 4+0+1=5 , A->5 , C->0
[2] + [3] , A=[5,0] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,5,0] C=0 , END
</scratch>
550
| 550 |
Input:
575+978
Target:
| Input:
575+978
Target:
<scratch>
[5,7,5] has 3 digits.
[9,7,8] has 3 digits.
[5,7,5] + [9,7,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[5,7] + [9,7] , A=[3] , C=1 , 7+7+1=15 , A->5 , C->1
[5] + [9] , A=[5,3] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,5,3] C=1 , END
</scratch>
1553
| 1553 |
Input:
407+92
Target:
| Input:
407+92
Target:
<scratch>
[4,0,7] has 3 digits.
[9,2] has 2 digits.
[4,0,7] + [9,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[4,0] + [9] , A=[9] , C=0 , 0+9+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:
462+448
Target:
| Input:
462+448
Target:
<scratch>
[4,6,2] has 3 digits.
[4,4,8] has 3 digits.
[4,6,2] + [4,4,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[4,6] + [4,4] , A=[0] , C=1 , 6+4+1=11 , A->1 , C->1
[4] + [4] , A=[1,0] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,1,0] C=0 , END
</scratch>
910
| 910 |
Input:
577+204
Target:
| Input:
577+204
Target:
<scratch>
[5,7,7] has 3 digits.
[2,0,4] has 3 digits.
[5,7,7] + [2,0,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[5,7] + [2,0] , A=[1] , C=1 , 7+0+1=8 , A->8 , C->0
[5] + [2] , A=[8,1] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,1] C=0 , END
</scratch>
781
| 781 |
Input:
505+84
Target:
| Input:
505+84
Target:
<scratch>
[5,0,5] has 3 digits.
[8,4] has 2 digits.
[5,0,5] + [8,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[5,0] + [8] , A=[9] , C=0 , 0+8+0=8 , A->8 , C->0
[5] + [] , A=[8,9] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,8,9] C=0 , END
</scratch>
589
| 589 |
Input:
727+4
Target:
| Input:
727+4
Target:
<scratch>
[7,2,7] has 3 digits.
[4] has 1 digits.
[7,2,7] + [4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[7,2] + [] , A=[1] , C=1 , 2+0+1=3 , A->3 , C->0
[7] + [] , A=[3,1] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,3,1] C=0 , END
</scratch>
731
| 731 |
Input:
577+439
Target:
| Input:
577+439
Target:
<scratch>
[5,7,7] has 3 digits.
[4,3,9] has 3 digits.
[5,7,7] + [4,3,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[5,7] + [4,3] , A=[6] , C=1 , 7+3+1=11 , A->1 , C->1
[5] + [4] , A=[1,6] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,1,6] C=1 , END
</scratch>
1016
| 1016 |
Input:
480+476
Target:
| Input:
480+476
Target:
<scratch>
[4,8,0] has 3 digits.
[4,7,6] has 3 digits.
[4,8,0] + [4,7,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[4,8] + [4,7] , A=[6] , C=0 , 8+7+0=15 , A->5 , C->1
[4] + [4] , A=[5,6] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,5,6] C=0 , END
</scratch>
956
| 956 |
Input:
526+239
Target:
| Input:
526+239
Target:
<scratch>
[5,2,6] has 3 digits.
[2,3,9] has 3 digits.
[5,2,6] + [2,3,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[5,2] + [2,3] , A=[5] , C=1 , 2+3+1=6 , A->6 , C->0
[5] + [2] , A=[6,5] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,6,5] C=0 , END
</scratch>
765
| 765 |
Input:
114+428
Target:
| Input:
114+428
Target:
<scratch>
[1,1,4] has 3 digits.
[4,2,8] has 3 digits.
[1,1,4] + [4,2,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[1,1] + [4,2] , A=[2] , C=1 , 1+2+1=4 , A->4 , C->0
[1] + [4] , A=[4,2] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,4,2] C=0 , END
</scratch>
542
| 542 |
Input:
86+767
Target:
| Input:
86+767
Target:
<scratch>
[8,6] has 2 digits.
[7,6,7] has 3 digits.
[8,6] + [7,6,7] , A=[] , C=0 , 6+7+0=13 , A->3 , C->1
[8] + [7,6] , A=[3] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [7] , A=[5,3] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,5,3] C=0 , END
</scratch>
853
| 853 |
Input:
557+956
Target:
| Input:
557+956
Target:
<scratch>
[5,5,7] has 3 digits.
[9,5,6] has 3 digits.
[5,5,7] + [9,5,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[5,5] + [9,5] , A=[3] , C=1 , 5+5+1=11 , A->1 , C->1
[5] + [9] , A=[1,3] , C=1 , 5+9+1=15 , A->5 , C->1
[] + [] , A=[5,1,3] C=1 , END
</scratch>
1513
| 1513 |
Input:
688+854
Target:
| Input:
688+854
Target:
<scratch>
[6,8,8] has 3 digits.
[8,5,4] has 3 digits.
[6,8,8] + [8,5,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[6,8] + [8,5] , A=[2] , C=1 , 8+5+1=14 , A->4 , C->1
[6] + [8] , A=[4,2] , C=1 , 6+8+1=15 , A->5 , C->1
[] + [] , A=[5,4,2] C=1 , END
</scratch>
1542
| 1542 |
Input:
451+827
Target:
| Input:
451+827
Target:
<scratch>
[4,5,1] has 3 digits.
[8,2,7] has 3 digits.
[4,5,1] + [8,2,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[4,5] + [8,2] , A=[8] , C=0 , 5+2+0=7 , A->7 , C->0
[4] + [8] , A=[7,8] , C=0 , 4+8+0=12 , A->2 , C->1
[] + [] , A=[2,7,8] C=1 , END
</scratch>
1278
| 1278 |
Input:
941+48
Target:
| Input:
941+48
Target:
<scratch>
[9,4,1] has 3 digits.
[4,8] has 2 digits.
[9,4,1] + [4,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[9,4] + [4] , A=[9] , C=0 , 4+4+0=8 , A->8 , C->0
[9] + [] , A=[8,9] , C=0 , 9+0+0=9 , A->9 , C->0
[] + [] , A=[9,8,9] C=0 , END
</scratch>
989
| 989 |
Input:
180+720
Target:
| Input:
180+720
Target:
<scratch>
[1,8,0] has 3 digits.
[7,2,0] has 3 digits.
[1,8,0] + [7,2,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[1,8] + [7,2] , A=[0] , C=0 , 8+2+0=10 , A->0 , C->1
[1] + [7] , A=[0,0] , C=1 , 1+7+1=9 , A->9 , C->0
[] + [] , A=[9,0,0] C=0 , END
</scratch>
900
| 900 |
Input:
75+337
Target:
| Input:
75+337
Target:
<scratch>
[7,5] has 2 digits.
[3,3,7] has 3 digits.
[7,5] + [3,3,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[7] + [3,3] , A=[2] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [3] , A=[1,2] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [] , A=[4,1,2] C=0 , END
</scratch>
412
| 412 |
Input:
432+210
Target:
| Input:
432+210
Target:
<scratch>
[4,3,2] has 3 digits.
[2,1,0] has 3 digits.
[4,3,2] + [2,1,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[4,3] + [2,1] , A=[2] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [2] , A=[4,2] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,4,2] C=0 , END
</scratch>
642
| 642 |
Input:
597+886
Target:
| Input:
597+886
Target:
<scratch>
[5,9,7] has 3 digits.
[8,8,6] has 3 digits.
[5,9,7] + [8,8,6] , A=[] , C=0 , 7+6+0=13 , A->3 , C->1
[5,9] + [8,8] , A=[3] , C=1 , 9+8+1=18 , A->8 , C->1
[5] + [8] , A=[8,3] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,8,3] C=1 , END
</scratch>
1483
| 1483 |
Input:
63+384
Target:
| Input:
63+384
Target:
<scratch>
[6,3] has 2 digits.
[3,8,4] has 3 digits.
[6,3] + [3,8,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[6] + [3,8] , A=[7] , C=0 , 6+8+0=14 , A->4 , C->1
[] + [3] , A=[4,7] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [] , A=[4,4,7] C=0 , END
</scratch>
447
| 447 |
Input:
998+574
Target:
| Input:
998+574
Target:
<scratch>
[9,9,8] has 3 digits.
[5,7,4] has 3 digits.
[9,9,8] + [5,7,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[9,9] + [5,7] , A=[2] , C=1 , 9+7+1=17 , A->7 , C->1
[9] + [5] , A=[7,2] , C=1 , 9+5+1=15 , A->5 , C->1
[] + [] , A=[5,7,2] C=1 , END
</scratch>
1572
| 1572 |
Input:
891+557
Target:
| Input:
891+557
Target:
<scratch>
[8,9,1] has 3 digits.
[5,5,7] has 3 digits.
[8,9,1] + [5,5,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[8,9] + [5,5] , A=[8] , C=0 , 9+5+0=14 , A->4 , C->1
[8] + [5] , A=[4,8] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,4,8] C=1 , END
</scratch>
1448
| 1448 |
Input:
903+172
Target:
| Input:
903+172
Target:
<scratch>
[9,0,3] has 3 digits.
[1,7,2] has 3 digits.
[9,0,3] + [1,7,2] , A=[] , C=0 , 3+2+0=5 , A->5 , C->0
[9,0] + [1,7] , A=[5] , C=0 , 0+7+0=7 , A->7 , C->0
[9] + [1] , A=[7,5] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,7,5] C=1 , END
</scratch>
1075
| 1075 |
Input:
898+960
Target:
| Input:
898+960
Target:
<scratch>
[8,9,8] has 3 digits.
[9,6,0] has 3 digits.
[8,9,8] + [9,6,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[8,9] + [9,6] , A=[8] , C=0 , 9+6+0=15 , A->5 , C->1
[8] + [9] , A=[5,8] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,5,8] C=1 , END
</scratch>
1858
| 1858 |
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