input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
|---|---|---|
Input:
742+662
Target:
| Input:
742+662
Target:
<scratch>
[7,4,2] has 3 digits.
[6,6,2] has 3 digits.
[7,4,2] + [6,6,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[7,4] + [6,6] , A=[4] , C=0 , 4+6+0=10 , A->0 , C->1
[7] + [6] , A=[0,4] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,0,4] C=1 , END
</scratch>
1404
| 1404 |
Input:
461+532
Target:
| Input:
461+532
Target:
<scratch>
[4,6,1] has 3 digits.
[5,3,2] has 3 digits.
[4,6,1] + [5,3,2] , A=[] , C=0 , 1+2+0=3 , A->3 , C->0
[4,6] + [5,3] , A=[3] , C=0 , 6+3+0=9 , A->9 , C->0
[4] + [5] , A=[9,3] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,3] C=0 , END
</scratch>
993
| 993 |
Input:
43+301
Target:
| Input:
43+301
Target:
<scratch>
[4,3] has 2 digits.
[3,0,1] has 3 digits.
[4,3] + [3,0,1] , A=[] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [3,0] , A=[4] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [3] , A=[4,4] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,4,4] C=0 , END
</scratch>
344
| 344 |
Input:
531+220
Target:
| Input:
531+220
Target:
<scratch>
[5,3,1] has 3 digits.
[2,2,0] has 3 digits.
[5,3,1] + [2,2,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[5,3] + [2,2] , A=[1] , C=0 , 3+2+0=5 , A->5 , C->0
[5] + [2] , A=[5,1] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,5,1] C=0 , END
</scratch>
751
| 751 |
Input:
492+699
Target:
| Input:
492+699
Target:
<scratch>
[4,9,2] has 3 digits.
[6,9,9] has 3 digits.
[4,9,2] + [6,9,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[4,9] + [6,9] , A=[1] , C=1 , 9+9+1=19 , A->9 , C->1
[4] + [6] , A=[9,1] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,9,1] C=1 , END
</scratch>
1191
| 1191 |
Input:
501+496
Target:
| Input:
501+496
Target:
<scratch>
[5,0,1] has 3 digits.
[4,9,6] has 3 digits.
[5,0,1] + [4,9,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[5,0] + [4,9] , A=[7] , C=0 , 0+9+0=9 , A->9 , C->0
[5] + [4] , A=[9,7] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,9,7] C=0 , END
</scratch>
997
| 997 |
Input:
610+992
Target:
| Input:
610+992
Target:
<scratch>
[6,1,0] has 3 digits.
[9,9,2] has 3 digits.
[6,1,0] + [9,9,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[6,1] + [9,9] , A=[2] , C=0 , 1+9+0=10 , A->0 , C->1
[6] + [9] , A=[0,2] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,0,2] C=1 , END
</scratch>
1602
| 1602 |
Input:
30+924
Target:
| Input:
30+924
Target:
<scratch>
[3,0] has 2 digits.
[9,2,4] has 3 digits.
[3,0] + [9,2,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[3] + [9,2] , A=[4] , C=0 , 3+2+0=5 , A->5 , C->0
[] + [9] , A=[5,4] , C=0 , 0+9+0=9 , A->9 , C->0
[] + [] , A=[9,5,4] C=0 , END
</scratch>
954
| 954 |
Input:
467+142
Target:
| Input:
467+142
Target:
<scratch>
[4,6,7] has 3 digits.
[1,4,2] has 3 digits.
[4,6,7] + [1,4,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[4,6] + [1,4] , A=[9] , C=0 , 6+4+0=10 , A->0 , C->1
[4] + [1] , A=[0,9] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,0,9] C=0 , END
</scratch>
609
| 609 |
Input:
841+935
Target:
| Input:
841+935
Target:
<scratch>
[8,4,1] has 3 digits.
[9,3,5] has 3 digits.
[8,4,1] + [9,3,5] , A=[] , C=0 , 1+5+0=6 , A->6 , C->0
[8,4] + [9,3] , A=[6] , C=0 , 4+3+0=7 , A->7 , C->0
[8] + [9] , A=[7,6] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,7,6] C=1 , END
</scratch>
1776
| 1776 |
Input:
620+517
Target:
| Input:
620+517
Target:
<scratch>
[6,2,0] has 3 digits.
[5,1,7] has 3 digits.
[6,2,0] + [5,1,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[6,2] + [5,1] , A=[7] , C=0 , 2+1+0=3 , A->3 , C->0
[6] + [5] , A=[3,7] , C=0 , 6+5+0=11 , A->1 , C->1
[] + [] , A=[1,3,7] C=1 , END
</scratch>
1137
| 1137 |
Input:
518+950
Target:
| Input:
518+950
Target:
<scratch>
[5,1,8] has 3 digits.
[9,5,0] has 3 digits.
[5,1,8] + [9,5,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[5,1] + [9,5] , A=[8] , C=0 , 1+5+0=6 , A->6 , C->0
[5] + [9] , A=[6,8] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,6,8] C=1 , END
</scratch>
1468
| 1468 |
Input:
602+679
Target:
| Input:
602+679
Target:
<scratch>
[6,0,2] has 3 digits.
[6,7,9] has 3 digits.
[6,0,2] + [6,7,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[6,0] + [6,7] , A=[1] , C=1 , 0+7+1=8 , A->8 , C->0
[6] + [6] , A=[8,1] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,8,1] C=1 , END
</scratch>
1281
| 1281 |
Input:
19+327
Target:
| Input:
19+327
Target:
<scratch>
[1,9] has 2 digits.
[3,2,7] has 3 digits.
[1,9] + [3,2,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[1] + [3,2] , A=[6] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [3] , A=[4,6] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,4,6] C=0 , END
</scratch>
346
| 346 |
Input:
579+588
Target:
| Input:
579+588
Target:
<scratch>
[5,7,9] has 3 digits.
[5,8,8] has 3 digits.
[5,7,9] + [5,8,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[5,7] + [5,8] , A=[7] , C=1 , 7+8+1=16 , A->6 , C->1
[5] + [5] , A=[6,7] , C=1 , 5+5+1=11 , A->1 , C->1
[] + [] , A=[1,6,7] C=1 , END
</scratch>
1167
| 1167 |
Input:
436+556
Target:
| Input:
436+556
Target:
<scratch>
[4,3,6] has 3 digits.
[5,5,6] has 3 digits.
[4,3,6] + [5,5,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[4,3] + [5,5] , A=[2] , C=1 , 3+5+1=9 , A->9 , C->0
[4] + [5] , A=[9,2] , C=0 , 4+5+0=9 , A->9 , C->0
[] + [] , A=[9,9,2] C=0 , END
</scratch>
992
| 992 |
Input:
870+410
Target:
| Input:
870+410
Target:
<scratch>
[8,7,0] has 3 digits.
[4,1,0] has 3 digits.
[8,7,0] + [4,1,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[8,7] + [4,1] , A=[0] , C=0 , 7+1+0=8 , A->8 , C->0
[8] + [4] , A=[8,0] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,8,0] C=1 , END
</scratch>
1280
| 1280 |
Input:
739+645
Target:
| Input:
739+645
Target:
<scratch>
[7,3,9] has 3 digits.
[6,4,5] has 3 digits.
[7,3,9] + [6,4,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[7,3] + [6,4] , A=[4] , C=1 , 3+4+1=8 , A->8 , C->0
[7] + [6] , A=[8,4] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,8,4] C=1 , END
</scratch>
1384
| 1384 |
Input:
29+140
Target:
| Input:
29+140
Target:
<scratch>
[2,9] has 2 digits.
[1,4,0] has 3 digits.
[2,9] + [1,4,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[2] + [1,4] , A=[9] , C=0 , 2+4+0=6 , A->6 , C->0
[] + [1] , A=[6,9] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,6,9] C=0 , END
</scratch>
169
| 169 |
Input:
362+965
Target:
| Input:
362+965
Target:
<scratch>
[3,6,2] has 3 digits.
[9,6,5] has 3 digits.
[3,6,2] + [9,6,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[3,6] + [9,6] , A=[7] , C=0 , 6+6+0=12 , A->2 , C->1
[3] + [9] , A=[2,7] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,2,7] C=1 , END
</scratch>
1327
| 1327 |
Input:
566+746
Target:
| Input:
566+746
Target:
<scratch>
[5,6,6] has 3 digits.
[7,4,6] has 3 digits.
[5,6,6] + [7,4,6] , A=[] , C=0 , 6+6+0=12 , A->2 , C->1
[5,6] + [7,4] , A=[2] , C=1 , 6+4+1=11 , A->1 , C->1
[5] + [7] , A=[1,2] , C=1 , 5+7+1=13 , A->3 , C->1
[] + [] , A=[3,1,2] C=1 , END
</scratch>
1312
| 1312 |
Input:
621+651
Target:
| Input:
621+651
Target:
<scratch>
[6,2,1] has 3 digits.
[6,5,1] has 3 digits.
[6,2,1] + [6,5,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[6,2] + [6,5] , A=[2] , C=0 , 2+5+0=7 , A->7 , C->0
[6] + [6] , A=[7,2] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,7,2] C=1 , END
</scratch>
1272
| 1272 |
Input:
249+635
Target:
| Input:
249+635
Target:
<scratch>
[2,4,9] has 3 digits.
[6,3,5] has 3 digits.
[2,4,9] + [6,3,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[2,4] + [6,3] , A=[4] , C=1 , 4+3+1=8 , A->8 , C->0
[2] + [6] , A=[8,4] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,8,4] C=0 , END
</scratch>
884
| 884 |
Input:
924+158
Target:
| Input:
924+158
Target:
<scratch>
[9,2,4] has 3 digits.
[1,5,8] has 3 digits.
[9,2,4] + [1,5,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[9,2] + [1,5] , A=[2] , C=1 , 2+5+1=8 , A->8 , C->0
[9] + [1] , A=[8,2] , C=0 , 9+1+0=10 , A->0 , C->1
[] + [] , A=[0,8,2] C=1 , END
</scratch>
1082
| 1082 |
Input:
319+731
Target:
| Input:
319+731
Target:
<scratch>
[3,1,9] has 3 digits.
[7,3,1] has 3 digits.
[3,1,9] + [7,3,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[3,1] + [7,3] , A=[0] , C=1 , 1+3+1=5 , A->5 , C->0
[3] + [7] , A=[5,0] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,5,0] C=1 , END
</scratch>
1050
| 1050 |
Input:
382+554
Target:
| Input:
382+554
Target:
<scratch>
[3,8,2] has 3 digits.
[5,5,4] has 3 digits.
[3,8,2] + [5,5,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[3,8] + [5,5] , A=[6] , C=0 , 8+5+0=13 , A->3 , C->1
[3] + [5] , A=[3,6] , C=1 , 3+5+1=9 , A->9 , C->0
[] + [] , A=[9,3,6] C=0 , END
</scratch>
936
| 936 |
Input:
448+736
Target:
| Input:
448+736
Target:
<scratch>
[4,4,8] has 3 digits.
[7,3,6] has 3 digits.
[4,4,8] + [7,3,6] , A=[] , C=0 , 8+6+0=14 , A->4 , C->1
[4,4] + [7,3] , A=[4] , C=1 , 4+3+1=8 , A->8 , C->0
[4] + [7] , A=[8,4] , C=0 , 4+7+0=11 , A->1 , C->1
[] + [] , A=[1,8,4] C=1 , END
</scratch>
1184
| 1184 |
Input:
855+631
Target:
| Input:
855+631
Target:
<scratch>
[8,5,5] has 3 digits.
[6,3,1] has 3 digits.
[8,5,5] + [6,3,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[8,5] + [6,3] , A=[6] , C=0 , 5+3+0=8 , A->8 , C->0
[8] + [6] , A=[8,6] , C=0 , 8+6+0=14 , A->4 , C->1
[] + [] , A=[4,8,6] C=1 , END
</scratch>
1486
| 1486 |
Input:
80+896
Target:
| Input:
80+896
Target:
<scratch>
[8,0] has 2 digits.
[8,9,6] has 3 digits.
[8,0] + [8,9,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[8] + [8,9] , A=[6] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [8] , A=[7,6] , C=1 , 0+8+1=9 , A->9 , C->0
[] + [] , A=[9,7,6] C=0 , END
</scratch>
976
| 976 |
Input:
762+424
Target:
| Input:
762+424
Target:
<scratch>
[7,6,2] has 3 digits.
[4,2,4] has 3 digits.
[7,6,2] + [4,2,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[7,6] + [4,2] , A=[6] , C=0 , 6+2+0=8 , A->8 , C->0
[7] + [4] , A=[8,6] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,8,6] C=1 , END
</scratch>
1186
| 1186 |
Input:
569+296
Target:
| Input:
569+296
Target:
<scratch>
[5,6,9] has 3 digits.
[2,9,6] has 3 digits.
[5,6,9] + [2,9,6] , A=[] , C=0 , 9+6+0=15 , A->5 , C->1
[5,6] + [2,9] , A=[5] , C=1 , 6+9+1=16 , A->6 , C->1
[5] + [2] , A=[6,5] , C=1 , 5+2+1=8 , A->8 , C->0
[] + [] , A=[8,6,5] C=0 , END
</scratch>
865
| 865 |
Input:
471+961
Target:
| Input:
471+961
Target:
<scratch>
[4,7,1] has 3 digits.
[9,6,1] has 3 digits.
[4,7,1] + [9,6,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[4,7] + [9,6] , A=[2] , C=0 , 7+6+0=13 , A->3 , C->1
[4] + [9] , A=[3,2] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,3,2] C=1 , END
</scratch>
1432
| 1432 |
Input:
783+419
Target:
| Input:
783+419
Target:
<scratch>
[7,8,3] has 3 digits.
[4,1,9] has 3 digits.
[7,8,3] + [4,1,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[7,8] + [4,1] , A=[2] , C=1 , 8+1+1=10 , A->0 , C->1
[7] + [4] , A=[0,2] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,0,2] C=1 , END
</scratch>
1202
| 1202 |
Input:
707+782
Target:
| Input:
707+782
Target:
<scratch>
[7,0,7] has 3 digits.
[7,8,2] has 3 digits.
[7,0,7] + [7,8,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[7,0] + [7,8] , A=[9] , C=0 , 0+8+0=8 , A->8 , C->0
[7] + [7] , A=[8,9] , C=0 , 7+7+0=14 , A->4 , C->1
[] + [] , A=[4,8,9] C=1 , END
</scratch>
1489
| 1489 |
Input:
937+734
Target:
| Input:
937+734
Target:
<scratch>
[9,3,7] has 3 digits.
[7,3,4] has 3 digits.
[9,3,7] + [7,3,4] , A=[] , C=0 , 7+4+0=11 , A->1 , C->1
[9,3] + [7,3] , A=[1] , C=1 , 3+3+1=7 , A->7 , C->0
[9] + [7] , A=[7,1] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,7,1] C=1 , END
</scratch>
1671
| 1671 |
Input:
592+825
Target:
| Input:
592+825
Target:
<scratch>
[5,9,2] has 3 digits.
[8,2,5] has 3 digits.
[5,9,2] + [8,2,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[5,9] + [8,2] , A=[7] , C=0 , 9+2+0=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:
461+261
Target:
| Input:
461+261
Target:
<scratch>
[4,6,1] has 3 digits.
[2,6,1] has 3 digits.
[4,6,1] + [2,6,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[4,6] + [2,6] , A=[2] , C=0 , 6+6+0=12 , A->2 , C->1
[4] + [2] , A=[2,2] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,2,2] C=0 , END
</scratch>
722
| 722 |
Input:
546+9
Target:
| Input:
546+9
Target:
<scratch>
[5,4,6] has 3 digits.
[9] has 1 digits.
[5,4,6] + [9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[5,4] + [] , A=[5] , C=1 , 4+0+1=5 , A->5 , C->0
[5] + [] , A=[5,5] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,5,5] C=0 , END
</scratch>
555
| 555 |
Input:
51+181
Target:
| Input:
51+181
Target:
<scratch>
[5,1] has 2 digits.
[1,8,1] has 3 digits.
[5,1] + [1,8,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[5] + [1,8] , A=[2] , C=0 , 5+8+0=13 , A->3 , C->1
[] + [1] , A=[3,2] , C=1 , 0+1+1=2 , A->2 , C->0
[] + [] , A=[2,3,2] C=0 , END
</scratch>
232
| 232 |
Input:
166+990
Target:
| Input:
166+990
Target:
<scratch>
[1,6,6] has 3 digits.
[9,9,0] has 3 digits.
[1,6,6] + [9,9,0] , A=[] , C=0 , 6+0+0=6 , A->6 , C->0
[1,6] + [9,9] , A=[6] , C=0 , 6+9+0=15 , A->5 , C->1
[1] + [9] , A=[5,6] , C=1 , 1+9+1=11 , A->1 , C->1
[] + [] , A=[1,5,6] C=1 , END
</scratch>
1156
| 1156 |
Input:
66+774
Target:
| Input:
66+774
Target:
<scratch>
[6,6] has 2 digits.
[7,7,4] has 3 digits.
[6,6] + [7,7,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6] + [7,7] , A=[0] , C=1 , 6+7+1=14 , A->4 , C->1
[] + [7] , A=[4,0] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,4,0] C=0 , END
</scratch>
840
| 840 |
Input:
556+303
Target:
| Input:
556+303
Target:
<scratch>
[5,5,6] has 3 digits.
[3,0,3] has 3 digits.
[5,5,6] + [3,0,3] , A=[] , C=0 , 6+3+0=9 , A->9 , C->0
[5,5] + [3,0] , A=[9] , C=0 , 5+0+0=5 , A->5 , C->0
[5] + [3] , A=[5,9] , C=0 , 5+3+0=8 , A->8 , C->0
[] + [] , A=[8,5,9] C=0 , END
</scratch>
859
| 859 |
Input:
252+601
Target:
| Input:
252+601
Target:
<scratch>
[2,5,2] has 3 digits.
[6,0,1] has 3 digits.
[2,5,2] + [6,0,1] , A=[] , C=0 , 2+1+0=3 , A->3 , C->0
[2,5] + [6,0] , A=[3] , C=0 , 5+0+0=5 , A->5 , C->0
[2] + [6] , A=[5,3] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,5,3] C=0 , END
</scratch>
853
| 853 |
Input:
704+417
Target:
| Input:
704+417
Target:
<scratch>
[7,0,4] has 3 digits.
[4,1,7] has 3 digits.
[7,0,4] + [4,1,7] , A=[] , C=0 , 4+7+0=11 , A->1 , C->1
[7,0] + [4,1] , A=[1] , C=1 , 0+1+1=2 , A->2 , C->0
[7] + [4] , A=[2,1] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,2,1] C=1 , END
</scratch>
1121
| 1121 |
Input:
282+518
Target:
| Input:
282+518
Target:
<scratch>
[2,8,2] has 3 digits.
[5,1,8] has 3 digits.
[2,8,2] + [5,1,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[2,8] + [5,1] , A=[0] , C=1 , 8+1+1=10 , A->0 , C->1
[2] + [5] , A=[0,0] , C=1 , 2+5+1=8 , A->8 , C->0
[] + [] , A=[8,0,0] C=0 , END
</scratch>
800
| 800 |
Input:
798+442
Target:
| Input:
798+442
Target:
<scratch>
[7,9,8] has 3 digits.
[4,4,2] has 3 digits.
[7,9,8] + [4,4,2] , A=[] , C=0 , 8+2+0=10 , A->0 , C->1
[7,9] + [4,4] , A=[0] , C=1 , 9+4+1=14 , A->4 , C->1
[7] + [4] , A=[4,0] , C=1 , 7+4+1=12 , A->2 , C->1
[] + [] , A=[2,4,0] C=1 , END
</scratch>
1240
| 1240 |
Input:
895+872
Target:
| Input:
895+872
Target:
<scratch>
[8,9,5] has 3 digits.
[8,7,2] has 3 digits.
[8,9,5] + [8,7,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[8,9] + [8,7] , A=[7] , C=0 , 9+7+0=16 , A->6 , C->1
[8] + [8] , A=[6,7] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,6,7] C=1 , END
</scratch>
1767
| 1767 |
Input:
53+750
Target:
| Input:
53+750
Target:
<scratch>
[5,3] has 2 digits.
[7,5,0] has 3 digits.
[5,3] + [7,5,0] , A=[] , C=0 , 3+0+0=3 , A->3 , C->0
[5] + [7,5] , A=[3] , C=0 , 5+5+0=10 , A->0 , C->1
[] + [7] , A=[0,3] , C=1 , 0+7+1=8 , A->8 , C->0
[] + [] , A=[8,0,3] C=0 , END
</scratch>
803
| 803 |
Input:
268+53
Target:
| Input:
268+53
Target:
<scratch>
[2,6,8] has 3 digits.
[5,3] has 2 digits.
[2,6,8] + [5,3] , A=[] , C=0 , 8+3+0=11 , A->1 , C->1
[2,6] + [5] , A=[1] , C=1 , 6+5+1=12 , A->2 , C->1
[2] + [] , A=[2,1] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,2,1] C=0 , END
</scratch>
321
| 321 |
Input:
436+742
Target:
| Input:
436+742
Target:
<scratch>
[4,3,6] has 3 digits.
[7,4,2] has 3 digits.
[4,3,6] + [7,4,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[4,3] + [7,4] , A=[8] , C=0 , 3+4+0=7 , A->7 , C->0
[4] + [7] , A=[7,8] , C=0 , 4+7+0=11 , A->1 , C->1
[] + [] , A=[1,7,8] C=1 , END
</scratch>
1178
| 1178 |
Input:
9+838
Target:
| Input:
9+838
Target:
<scratch>
[9] has 1 digits.
[8,3,8] has 3 digits.
[9] + [8,3,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[] + [8,3] , A=[7] , C=1 , 0+3+1=4 , A->4 , C->0
[] + [8] , A=[4,7] , C=0 , 0+8+0=8 , A->8 , C->0
[] + [] , A=[8,4,7] C=0 , END
</scratch>
847
| 847 |
Input:
752+647
Target:
| Input:
752+647
Target:
<scratch>
[7,5,2] has 3 digits.
[6,4,7] has 3 digits.
[7,5,2] + [6,4,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[7,5] + [6,4] , A=[9] , C=0 , 5+4+0=9 , A->9 , C->0
[7] + [6] , A=[9,9] , C=0 , 7+6+0=13 , A->3 , C->1
[] + [] , A=[3,9,9] C=1 , END
</scratch>
1399
| 1399 |
Input:
241+728
Target:
| Input:
241+728
Target:
<scratch>
[2,4,1] has 3 digits.
[7,2,8] has 3 digits.
[2,4,1] + [7,2,8] , A=[] , C=0 , 1+8+0=9 , A->9 , C->0
[2,4] + [7,2] , A=[9] , C=0 , 4+2+0=6 , A->6 , C->0
[2] + [7] , A=[6,9] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,6,9] C=0 , END
</scratch>
969
| 969 |
Input:
305+187
Target:
| Input:
305+187
Target:
<scratch>
[3,0,5] has 3 digits.
[1,8,7] has 3 digits.
[3,0,5] + [1,8,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[3,0] + [1,8] , A=[2] , C=1 , 0+8+1=9 , A->9 , C->0
[3] + [1] , A=[9,2] , C=0 , 3+1+0=4 , A->4 , C->0
[] + [] , A=[4,9,2] C=0 , END
</scratch>
492
| 492 |
Input:
475+271
Target:
| Input:
475+271
Target:
<scratch>
[4,7,5] has 3 digits.
[2,7,1] has 3 digits.
[4,7,5] + [2,7,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[4,7] + [2,7] , A=[6] , C=0 , 7+7+0=14 , A->4 , C->1
[4] + [2] , A=[4,6] , C=1 , 4+2+1=7 , A->7 , C->0
[] + [] , A=[7,4,6] C=0 , END
</scratch>
746
| 746 |
Input:
886+991
Target:
| Input:
886+991
Target:
<scratch>
[8,8,6] has 3 digits.
[9,9,1] has 3 digits.
[8,8,6] + [9,9,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[8,8] + [9,9] , A=[7] , C=0 , 8+9+0=17 , A->7 , C->1
[8] + [9] , A=[7,7] , C=1 , 8+9+1=18 , A->8 , C->1
[] + [] , A=[8,7,7] C=1 , END
</scratch>
1877
| 1877 |
Input:
534+20
Target:
| Input:
534+20
Target:
<scratch>
[5,3,4] has 3 digits.
[2,0] has 2 digits.
[5,3,4] + [2,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[5,3] + [2] , A=[4] , C=0 , 3+2+0=5 , A->5 , C->0
[5] + [] , A=[5,4] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,5,4] C=0 , END
</scratch>
554
| 554 |
Input:
212+509
Target:
| Input:
212+509
Target:
<scratch>
[2,1,2] has 3 digits.
[5,0,9] has 3 digits.
[2,1,2] + [5,0,9] , A=[] , C=0 , 2+9+0=11 , A->1 , C->1
[2,1] + [5,0] , A=[1] , C=1 , 1+0+1=2 , A->2 , C->0
[2] + [5] , A=[2,1] , C=0 , 2+5+0=7 , A->7 , C->0
[] + [] , A=[7,2,1] C=0 , END
</scratch>
721
| 721 |
Input:
385+640
Target:
| Input:
385+640
Target:
<scratch>
[3,8,5] has 3 digits.
[6,4,0] has 3 digits.
[3,8,5] + [6,4,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[3,8] + [6,4] , A=[5] , C=0 , 8+4+0=12 , A->2 , C->1
[3] + [6] , A=[2,5] , C=1 , 3+6+1=10 , A->0 , C->1
[] + [] , A=[0,2,5] C=1 , END
</scratch>
1025
| 1025 |
Input:
850+840
Target:
| Input:
850+840
Target:
<scratch>
[8,5,0] has 3 digits.
[8,4,0] has 3 digits.
[8,5,0] + [8,4,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[8,5] + [8,4] , A=[0] , C=0 , 5+4+0=9 , A->9 , C->0
[8] + [8] , A=[9,0] , C=0 , 8+8+0=16 , A->6 , C->1
[] + [] , A=[6,9,0] C=1 , END
</scratch>
1690
| 1690 |
Input:
52+112
Target:
| Input:
52+112
Target:
<scratch>
[5,2] has 2 digits.
[1,1,2] has 3 digits.
[5,2] + [1,1,2] , A=[] , C=0 , 2+2+0=4 , A->4 , C->0
[5] + [1,1] , A=[4] , C=0 , 5+1+0=6 , A->6 , C->0
[] + [1] , A=[6,4] , C=0 , 0+1+0=1 , A->1 , C->0
[] + [] , A=[1,6,4] C=0 , END
</scratch>
164
| 164 |
Input:
705+993
Target:
| Input:
705+993
Target:
<scratch>
[7,0,5] has 3 digits.
[9,9,3] has 3 digits.
[7,0,5] + [9,9,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[7,0] + [9,9] , A=[8] , C=0 , 0+9+0=9 , A->9 , C->0
[7] + [9] , A=[9,8] , C=0 , 7+9+0=16 , A->6 , C->1
[] + [] , A=[6,9,8] C=1 , END
</scratch>
1698
| 1698 |
Input:
708+574
Target:
| Input:
708+574
Target:
<scratch>
[7,0,8] has 3 digits.
[5,7,4] has 3 digits.
[7,0,8] + [5,7,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[7,0] + [5,7] , A=[2] , C=1 , 0+7+1=8 , A->8 , C->0
[7] + [5] , A=[8,2] , C=0 , 7+5+0=12 , A->2 , C->1
[] + [] , A=[2,8,2] C=1 , END
</scratch>
1282
| 1282 |
Input:
248+617
Target:
| Input:
248+617
Target:
<scratch>
[2,4,8] has 3 digits.
[6,1,7] has 3 digits.
[2,4,8] + [6,1,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[2,4] + [6,1] , A=[5] , C=1 , 4+1+1=6 , A->6 , C->0
[2] + [6] , A=[6,5] , C=0 , 2+6+0=8 , A->8 , C->0
[] + [] , A=[8,6,5] C=0 , END
</scratch>
865
| 865 |
Input:
459+981
Target:
| Input:
459+981
Target:
<scratch>
[4,5,9] has 3 digits.
[9,8,1] has 3 digits.
[4,5,9] + [9,8,1] , A=[] , C=0 , 9+1+0=10 , A->0 , C->1
[4,5] + [9,8] , A=[0] , C=1 , 5+8+1=14 , A->4 , C->1
[4] + [9] , A=[4,0] , C=1 , 4+9+1=14 , A->4 , C->1
[] + [] , A=[4,4,0] C=1 , END
</scratch>
1440
| 1440 |
Input:
937+513
Target:
| Input:
937+513
Target:
<scratch>
[9,3,7] has 3 digits.
[5,1,3] has 3 digits.
[9,3,7] + [5,1,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[9,3] + [5,1] , A=[0] , C=1 , 3+1+1=5 , A->5 , C->0
[9] + [5] , A=[5,0] , C=0 , 9+5+0=14 , A->4 , C->1
[] + [] , A=[4,5,0] C=1 , END
</scratch>
1450
| 1450 |
Input:
20+724
Target:
| Input:
20+724
Target:
<scratch>
[2,0] has 2 digits.
[7,2,4] has 3 digits.
[2,0] + [7,2,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[2] + [7,2] , A=[4] , C=0 , 2+2+0=4 , A->4 , C->0
[] + [7] , A=[4,4] , C=0 , 0+7+0=7 , A->7 , C->0
[] + [] , A=[7,4,4] C=0 , END
</scratch>
744
| 744 |
Input:
863+95
Target:
| Input:
863+95
Target:
<scratch>
[8,6,3] has 3 digits.
[9,5] has 2 digits.
[8,6,3] + [9,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[8,6] + [9] , A=[8] , C=0 , 6+9+0=15 , A->5 , C->1
[8] + [] , A=[5,8] , C=1 , 8+0+1=9 , A->9 , C->0
[] + [] , A=[9,5,8] C=0 , END
</scratch>
958
| 958 |
Input:
543+674
Target:
| Input:
543+674
Target:
<scratch>
[5,4,3] has 3 digits.
[6,7,4] has 3 digits.
[5,4,3] + [6,7,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[5,4] + [6,7] , A=[7] , C=0 , 4+7+0=11 , A->1 , C->1
[5] + [6] , A=[1,7] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,1,7] C=1 , END
</scratch>
1217
| 1217 |
Input:
803+955
Target:
| Input:
803+955
Target:
<scratch>
[8,0,3] has 3 digits.
[9,5,5] has 3 digits.
[8,0,3] + [9,5,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[8,0] + [9,5] , A=[8] , C=0 , 0+5+0=5 , A->5 , C->0
[8] + [9] , A=[5,8] , C=0 , 8+9+0=17 , A->7 , C->1
[] + [] , A=[7,5,8] C=1 , END
</scratch>
1758
| 1758 |
Input:
319+414
Target:
| Input:
319+414
Target:
<scratch>
[3,1,9] has 3 digits.
[4,1,4] has 3 digits.
[3,1,9] + [4,1,4] , A=[] , C=0 , 9+4+0=13 , A->3 , C->1
[3,1] + [4,1] , A=[3] , C=1 , 1+1+1=3 , A->3 , C->0
[3] + [4] , A=[3,3] , C=0 , 3+4+0=7 , A->7 , C->0
[] + [] , A=[7,3,3] C=0 , END
</scratch>
733
| 733 |
Input:
915+691
Target:
| Input:
915+691
Target:
<scratch>
[9,1,5] has 3 digits.
[6,9,1] has 3 digits.
[9,1,5] + [6,9,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9,1] + [6,9] , A=[6] , C=0 , 1+9+0=10 , A->0 , C->1
[9] + [6] , A=[0,6] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,0,6] C=1 , END
</scratch>
1606
| 1606 |
Input:
596+851
Target:
| Input:
596+851
Target:
<scratch>
[5,9,6] has 3 digits.
[8,5,1] has 3 digits.
[5,9,6] + [8,5,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[5,9] + [8,5] , A=[7] , C=0 , 9+5+0=14 , A->4 , C->1
[5] + [8] , A=[4,7] , C=1 , 5+8+1=14 , A->4 , C->1
[] + [] , A=[4,4,7] C=1 , END
</scratch>
1447
| 1447 |
Input:
927+220
Target:
| Input:
927+220
Target:
<scratch>
[9,2,7] has 3 digits.
[2,2,0] has 3 digits.
[9,2,7] + [2,2,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[9,2] + [2,2] , A=[7] , C=0 , 2+2+0=4 , A->4 , C->0
[9] + [2] , A=[4,7] , C=0 , 9+2+0=11 , A->1 , C->1
[] + [] , A=[1,4,7] C=1 , END
</scratch>
1147
| 1147 |
Input:
761+170
Target:
| Input:
761+170
Target:
<scratch>
[7,6,1] has 3 digits.
[1,7,0] has 3 digits.
[7,6,1] + [1,7,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[7,6] + [1,7] , A=[1] , C=0 , 6+7+0=13 , A->3 , C->1
[7] + [1] , A=[3,1] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,3,1] C=0 , END
</scratch>
931
| 931 |
Input:
683+715
Target:
| Input:
683+715
Target:
<scratch>
[6,8,3] has 3 digits.
[7,1,5] has 3 digits.
[6,8,3] + [7,1,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[6,8] + [7,1] , A=[8] , C=0 , 8+1+0=9 , A->9 , C->0
[6] + [7] , A=[9,8] , C=0 , 6+7+0=13 , A->3 , C->1
[] + [] , A=[3,9,8] C=1 , END
</scratch>
1398
| 1398 |
Input:
823+878
Target:
| Input:
823+878
Target:
<scratch>
[8,2,3] has 3 digits.
[8,7,8] has 3 digits.
[8,2,3] + [8,7,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[8,2] + [8,7] , A=[1] , C=1 , 2+7+1=10 , A->0 , C->1
[8] + [8] , A=[0,1] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,0,1] C=1 , END
</scratch>
1701
| 1701 |
Input:
515+683
Target:
| Input:
515+683
Target:
<scratch>
[5,1,5] has 3 digits.
[6,8,3] has 3 digits.
[5,1,5] + [6,8,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[5,1] + [6,8] , A=[8] , C=0 , 1+8+0=9 , A->9 , C->0
[5] + [6] , A=[9,8] , C=0 , 5+6+0=11 , A->1 , C->1
[] + [] , A=[1,9,8] C=1 , END
</scratch>
1198
| 1198 |
Input:
723+93
Target:
| Input:
723+93
Target:
<scratch>
[7,2,3] has 3 digits.
[9,3] has 2 digits.
[7,2,3] + [9,3] , A=[] , C=0 , 3+3+0=6 , A->6 , C->0
[7,2] + [9] , A=[6] , C=0 , 2+9+0=11 , A->1 , C->1
[7] + [] , A=[1,6] , C=1 , 7+0+1=8 , A->8 , C->0
[] + [] , A=[8,1,6] C=0 , END
</scratch>
816
| 816 |
Input:
780+172
Target:
| Input:
780+172
Target:
<scratch>
[7,8,0] has 3 digits.
[1,7,2] has 3 digits.
[7,8,0] + [1,7,2] , A=[] , C=0 , 0+2+0=2 , A->2 , C->0
[7,8] + [1,7] , A=[2] , C=0 , 8+7+0=15 , A->5 , C->1
[7] + [1] , A=[5,2] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,5,2] C=0 , END
</scratch>
952
| 952 |
Input:
808+449
Target:
| Input:
808+449
Target:
<scratch>
[8,0,8] has 3 digits.
[4,4,9] has 3 digits.
[8,0,8] + [4,4,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[8,0] + [4,4] , A=[7] , C=1 , 0+4+1=5 , A->5 , C->0
[8] + [4] , A=[5,7] , C=0 , 8+4+0=12 , A->2 , C->1
[] + [] , A=[2,5,7] C=1 , END
</scratch>
1257
| 1257 |
Input:
183+425
Target:
| Input:
183+425
Target:
<scratch>
[1,8,3] has 3 digits.
[4,2,5] has 3 digits.
[1,8,3] + [4,2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[1,8] + [4,2] , A=[8] , C=0 , 8+2+0=10 , A->0 , C->1
[1] + [4] , A=[0,8] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,0,8] C=0 , END
</scratch>
608
| 608 |
Input:
120+665
Target:
| Input:
120+665
Target:
<scratch>
[1,2,0] has 3 digits.
[6,6,5] has 3 digits.
[1,2,0] + [6,6,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[1,2] + [6,6] , A=[5] , C=0 , 2+6+0=8 , A->8 , C->0
[1] + [6] , A=[8,5] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,8,5] C=0 , END
</scratch>
785
| 785 |
Input:
100+497
Target:
| Input:
100+497
Target:
<scratch>
[1,0,0] has 3 digits.
[4,9,7] has 3 digits.
[1,0,0] + [4,9,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[1,0] + [4,9] , A=[7] , C=0 , 0+9+0=9 , A->9 , C->0
[1] + [4] , A=[9,7] , C=0 , 1+4+0=5 , A->5 , C->0
[] + [] , A=[5,9,7] C=0 , END
</scratch>
597
| 597 |
Input:
980+165
Target:
| Input:
980+165
Target:
<scratch>
[9,8,0] has 3 digits.
[1,6,5] has 3 digits.
[9,8,0] + [1,6,5] , A=[] , C=0 , 0+5+0=5 , A->5 , C->0
[9,8] + [1,6] , A=[5] , C=0 , 8+6+0=14 , A->4 , C->1
[9] + [1] , A=[4,5] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [] , A=[1,4,5] C=1 , END
</scratch>
1145
| 1145 |
Input:
877+169
Target:
| Input:
877+169
Target:
<scratch>
[8,7,7] has 3 digits.
[1,6,9] has 3 digits.
[8,7,7] + [1,6,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[8,7] + [1,6] , A=[6] , C=1 , 7+6+1=14 , A->4 , C->1
[8] + [1] , A=[4,6] , C=1 , 8+1+1=10 , A->0 , C->1
[] + [] , A=[0,4,6] C=1 , END
</scratch>
1046
| 1046 |
Input:
635+202
Target:
| Input:
635+202
Target:
<scratch>
[6,3,5] has 3 digits.
[2,0,2] has 3 digits.
[6,3,5] + [2,0,2] , A=[] , C=0 , 5+2+0=7 , A->7 , C->0
[6,3] + [2,0] , A=[7] , C=0 , 3+0+0=3 , A->3 , C->0
[6] + [2] , A=[3,7] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,3,7] C=0 , END
</scratch>
837
| 837 |
Input:
111+639
Target:
| Input:
111+639
Target:
<scratch>
[1,1,1] has 3 digits.
[6,3,9] has 3 digits.
[1,1,1] + [6,3,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[1,1] + [6,3] , A=[0] , C=1 , 1+3+1=5 , A->5 , C->0
[1] + [6] , A=[5,0] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,5,0] C=0 , END
</scratch>
750
| 750 |
Input:
589+402
Target:
| Input:
589+402
Target:
<scratch>
[5,8,9] has 3 digits.
[4,0,2] has 3 digits.
[5,8,9] + [4,0,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[5,8] + [4,0] , A=[1] , C=1 , 8+0+1=9 , A->9 , C->0
[5] + [4] , A=[9,1] , C=0 , 5+4+0=9 , A->9 , C->0
[] + [] , A=[9,9,1] C=0 , END
</scratch>
991
| 991 |
Input:
123+244
Target:
| Input:
123+244
Target:
<scratch>
[1,2,3] has 3 digits.
[2,4,4] has 3 digits.
[1,2,3] + [2,4,4] , A=[] , C=0 , 3+4+0=7 , A->7 , C->0
[1,2] + [2,4] , A=[7] , C=0 , 2+4+0=6 , A->6 , C->0
[1] + [2] , A=[6,7] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,6,7] C=0 , END
</scratch>
367
| 367 |
Input:
208+368
Target:
| Input:
208+368
Target:
<scratch>
[2,0,8] has 3 digits.
[3,6,8] has 3 digits.
[2,0,8] + [3,6,8] , A=[] , C=0 , 8+8+0=16 , A->6 , C->1
[2,0] + [3,6] , A=[6] , C=1 , 0+6+1=7 , A->7 , C->0
[2] + [3] , A=[7,6] , C=0 , 2+3+0=5 , A->5 , C->0
[] + [] , A=[5,7,6] C=0 , END
</scratch>
576
| 576 |
Input:
706+48
Target:
| Input:
706+48
Target:
<scratch>
[7,0,6] has 3 digits.
[4,8] has 2 digits.
[7,0,6] + [4,8] , A=[] , C=0 , 6+8+0=14 , A->4 , C->1
[7,0] + [4] , A=[4] , C=1 , 0+4+1=5 , A->5 , C->0
[7] + [] , A=[5,4] , C=0 , 7+0+0=7 , A->7 , C->0
[] + [] , A=[7,5,4] C=0 , END
</scratch>
754
| 754 |
Input:
695+577
Target:
| Input:
695+577
Target:
<scratch>
[6,9,5] has 3 digits.
[5,7,7] has 3 digits.
[6,9,5] + [5,7,7] , A=[] , C=0 , 5+7+0=12 , A->2 , C->1
[6,9] + [5,7] , A=[2] , C=1 , 9+7+1=17 , A->7 , C->1
[6] + [5] , A=[7,2] , C=1 , 6+5+1=12 , A->2 , C->1
[] + [] , A=[2,7,2] C=1 , END
</scratch>
1272
| 1272 |
Input:
810+143
Target:
| Input:
810+143
Target:
<scratch>
[8,1,0] has 3 digits.
[1,4,3] has 3 digits.
[8,1,0] + [1,4,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[8,1] + [1,4] , A=[3] , C=0 , 1+4+0=5 , A->5 , C->0
[8] + [1] , A=[5,3] , C=0 , 8+1+0=9 , A->9 , C->0
[] + [] , A=[9,5,3] C=0 , END
</scratch>
953
| 953 |
Input:
670+328
Target:
| Input:
670+328
Target:
<scratch>
[6,7,0] has 3 digits.
[3,2,8] has 3 digits.
[6,7,0] + [3,2,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[6,7] + [3,2] , A=[8] , C=0 , 7+2+0=9 , A->9 , C->0
[6] + [3] , A=[9,8] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,9,8] C=0 , END
</scratch>
998
| 998 |
Input:
105+71
Target:
| Input:
105+71
Target:
<scratch>
[1,0,5] has 3 digits.
[7,1] has 2 digits.
[1,0,5] + [7,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[1,0] + [7] , A=[6] , C=0 , 0+7+0=7 , A->7 , C->0
[1] + [] , A=[7,6] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,7,6] C=0 , END
</scratch>
176
| 176 |
Input:
180+209
Target:
| Input:
180+209
Target:
<scratch>
[1,8,0] has 3 digits.
[2,0,9] has 3 digits.
[1,8,0] + [2,0,9] , A=[] , C=0 , 0+9+0=9 , A->9 , C->0
[1,8] + [2,0] , A=[9] , C=0 , 8+0+0=8 , A->8 , C->0
[1] + [2] , A=[8,9] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,8,9] C=0 , END
</scratch>
389
| 389 |
Input:
82+305
Target:
| Input:
82+305
Target:
<scratch>
[8,2] has 2 digits.
[3,0,5] has 3 digits.
[8,2] + [3,0,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[8] + [3,0] , A=[7] , C=0 , 8+0+0=8 , A->8 , C->0
[] + [3] , A=[8,7] , C=0 , 0+3+0=3 , A->3 , C->0
[] + [] , A=[3,8,7] C=0 , END
</scratch>
387
| 387 |
Input:
971+379
Target:
| Input:
971+379
Target:
<scratch>
[9,7,1] has 3 digits.
[3,7,9] has 3 digits.
[9,7,1] + [3,7,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[9,7] + [3,7] , A=[0] , C=1 , 7+7+1=15 , A->5 , C->1
[9] + [3] , A=[5,0] , C=1 , 9+3+1=13 , A->3 , C->1
[] + [] , A=[3,5,0] C=1 , END
</scratch>
1350
| 1350 |
Input:
397+270
Target:
| Input:
397+270
Target:
<scratch>
[3,9,7] has 3 digits.
[2,7,0] has 3 digits.
[3,9,7] + [2,7,0] , A=[] , C=0 , 7+0+0=7 , A->7 , C->0
[3,9] + [2,7] , A=[7] , C=0 , 9+7+0=16 , A->6 , C->1
[3] + [2] , A=[6,7] , C=1 , 3+2+1=6 , A->6 , C->0
[] + [] , A=[6,6,7] C=0 , END
</scratch>
667
| 667 |
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