input_test
stringlengths 19
23
| scratchpad
stringlengths 151
283
| result_final
stringlengths 1
4
|
---|---|---|
Input:
946+419
Target:
| Input:
946+419
Target:
<scratch>
[9,4,6] has 3 digits.
[4,1,9] has 3 digits.
[9,4,6] + [4,1,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[9,4] + [4,1] , A=[5] , C=1 , 4+1+1=6 , A->6 , C->0
[9] + [4] , A=[6,5] , C=0 , 9+4+0=13 , A->3 , C->1
[] + [] , A=[3,6,5] C=1 , END
</scratch>
1365
| 1365 |
Input:
684+970
Target:
| Input:
684+970
Target:
<scratch>
[6,8,4] has 3 digits.
[9,7,0] has 3 digits.
[6,8,4] + [9,7,0] , A=[] , C=0 , 4+0+0=4 , A->4 , C->0
[6,8] + [9,7] , A=[4] , C=0 , 8+7+0=15 , A->5 , C->1
[6] + [9] , A=[5,4] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,5,4] C=1 , END
</scratch>
1654
| 1654 |
Input:
882+873
Target:
| Input:
882+873
Target:
<scratch>
[8,8,2] has 3 digits.
[8,7,3] has 3 digits.
[8,8,2] + [8,7,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[8,8] + [8,7] , A=[5] , C=0 , 8+7+0=15 , A->5 , C->1
[8] + [8] , A=[5,5] , C=1 , 8+8+1=17 , A->7 , C->1
[] + [] , A=[7,5,5] C=1 , END
</scratch>
1755
| 1755 |
Input:
512+703
Target:
| Input:
512+703
Target:
<scratch>
[5,1,2] has 3 digits.
[7,0,3] has 3 digits.
[5,1,2] + [7,0,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[5,1] + [7,0] , A=[5] , C=0 , 1+0+0=1 , A->1 , C->0
[5] + [7] , A=[1,5] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,1,5] C=1 , END
</scratch>
1215
| 1215 |
Input:
804+388
Target:
| Input:
804+388
Target:
<scratch>
[8,0,4] has 3 digits.
[3,8,8] has 3 digits.
[8,0,4] + [3,8,8] , A=[] , C=0 , 4+8+0=12 , A->2 , C->1
[8,0] + [3,8] , A=[2] , C=1 , 0+8+1=9 , A->9 , C->0
[8] + [3] , A=[9,2] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,9,2] C=1 , END
</scratch>
1192
| 1192 |
Input:
443+568
Target:
| Input:
443+568
Target:
<scratch>
[4,4,3] has 3 digits.
[5,6,8] has 3 digits.
[4,4,3] + [5,6,8] , A=[] , C=0 , 3+8+0=11 , A->1 , C->1
[4,4] + [5,6] , A=[1] , C=1 , 4+6+1=11 , A->1 , C->1
[4] + [5] , A=[1,1] , C=1 , 4+5+1=10 , A->0 , C->1
[] + [] , A=[0,1,1] C=1 , END
</scratch>
1011
| 1011 |
Input:
502+760
Target:
| Input:
502+760
Target:
<scratch>
[5,0,2] has 3 digits.
[7,6,0] has 3 digits.
[5,0,2] + [7,6,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[5,0] + [7,6] , A=[2] , C=0 , 0+6+0=6 , A->6 , C->0
[5] + [7] , A=[6,2] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,6,2] C=1 , END
</scratch>
1262
| 1262 |
Input:
697+908
Target:
| Input:
697+908
Target:
<scratch>
[6,9,7] has 3 digits.
[9,0,8] has 3 digits.
[6,9,7] + [9,0,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[6,9] + [9,0] , A=[5] , C=1 , 9+0+1=10 , A->0 , C->1
[6] + [9] , A=[0,5] , C=1 , 6+9+1=16 , A->6 , C->1
[] + [] , A=[6,0,5] C=1 , END
</scratch>
1605
| 1605 |
Input:
442+877
Target:
| Input:
442+877
Target:
<scratch>
[4,4,2] has 3 digits.
[8,7,7] has 3 digits.
[4,4,2] + [8,7,7] , A=[] , C=0 , 2+7+0=9 , A->9 , C->0
[4,4] + [8,7] , A=[9] , C=0 , 4+7+0=11 , A->1 , C->1
[4] + [8] , A=[1,9] , C=1 , 4+8+1=13 , A->3 , C->1
[] + [] , A=[3,1,9] C=1 , END
</scratch>
1319
| 1319 |
Input:
466+462
Target:
| Input:
466+462
Target:
<scratch>
[4,6,6] has 3 digits.
[4,6,2] has 3 digits.
[4,6,6] + [4,6,2] , A=[] , C=0 , 6+2+0=8 , A->8 , C->0
[4,6] + [4,6] , A=[8] , C=0 , 6+6+0=12 , A->2 , C->1
[4] + [4] , A=[2,8] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,2,8] C=0 , END
</scratch>
928
| 928 |
Input:
155+770
Target:
| Input:
155+770
Target:
<scratch>
[1,5,5] has 3 digits.
[7,7,0] has 3 digits.
[1,5,5] + [7,7,0] , A=[] , C=0 , 5+0+0=5 , A->5 , C->0
[1,5] + [7,7] , A=[5] , C=0 , 5+7+0=12 , A->2 , C->1
[1] + [7] , A=[2,5] , C=1 , 1+7+1=9 , A->9 , C->0
[] + [] , A=[9,2,5] C=0 , END
</scratch>
925
| 925 |
Input:
612+275
Target:
| Input:
612+275
Target:
<scratch>
[6,1,2] has 3 digits.
[2,7,5] has 3 digits.
[6,1,2] + [2,7,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[6,1] + [2,7] , A=[7] , C=0 , 1+7+0=8 , A->8 , C->0
[6] + [2] , A=[8,7] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,8,7] C=0 , END
</scratch>
887
| 887 |
Input:
431+717
Target:
| Input:
431+717
Target:
<scratch>
[4,3,1] has 3 digits.
[7,1,7] has 3 digits.
[4,3,1] + [7,1,7] , A=[] , C=0 , 1+7+0=8 , A->8 , C->0
[4,3] + [7,1] , A=[8] , C=0 , 3+1+0=4 , A->4 , C->0
[4] + [7] , A=[4,8] , C=0 , 4+7+0=11 , A->1 , C->1
[] + [] , A=[1,4,8] C=1 , END
</scratch>
1148
| 1148 |
Input:
938+519
Target:
| Input:
938+519
Target:
<scratch>
[9,3,8] has 3 digits.
[5,1,9] has 3 digits.
[9,3,8] + [5,1,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[9,3] + [5,1] , A=[7] , C=1 , 3+1+1=5 , A->5 , C->0
[9] + [5] , A=[5,7] , C=0 , 9+5+0=14 , A->4 , C->1
[] + [] , A=[4,5,7] C=1 , END
</scratch>
1457
| 1457 |
Input:
679+619
Target:
| Input:
679+619
Target:
<scratch>
[6,7,9] has 3 digits.
[6,1,9] has 3 digits.
[6,7,9] + [6,1,9] , A=[] , C=0 , 9+9+0=18 , A->8 , C->1
[6,7] + [6,1] , A=[8] , C=1 , 7+1+1=9 , A->9 , C->0
[6] + [6] , A=[9,8] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,9,8] C=1 , END
</scratch>
1298
| 1298 |
Input:
424+369
Target:
| Input:
424+369
Target:
<scratch>
[4,2,4] has 3 digits.
[3,6,9] has 3 digits.
[4,2,4] + [3,6,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[4,2] + [3,6] , A=[3] , C=1 , 2+6+1=9 , A->9 , C->0
[4] + [3] , A=[9,3] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [] , A=[7,9,3] C=0 , END
</scratch>
793
| 793 |
Input:
885+973
Target:
| Input:
885+973
Target:
<scratch>
[8,8,5] has 3 digits.
[9,7,3] has 3 digits.
[8,8,5] + [9,7,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[8,8] + [9,7] , A=[8] , C=0 , 8+7+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 |
Input:
321+979
Target:
| Input:
321+979
Target:
<scratch>
[3,2,1] has 3 digits.
[9,7,9] has 3 digits.
[3,2,1] + [9,7,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[3,2] + [9,7] , A=[0] , C=1 , 2+7+1=10 , A->0 , C->1
[3] + [9] , A=[0,0] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,0,0] C=1 , END
</scratch>
1300
| 1300 |
Input:
365+948
Target:
| Input:
365+948
Target:
<scratch>
[3,6,5] has 3 digits.
[9,4,8] has 3 digits.
[3,6,5] + [9,4,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[3,6] + [9,4] , A=[3] , C=1 , 6+4+1=11 , A->1 , C->1
[3] + [9] , A=[1,3] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [] , A=[3,1,3] C=1 , END
</scratch>
1313
| 1313 |
Input:
819+690
Target:
| Input:
819+690
Target:
<scratch>
[8,1,9] has 3 digits.
[6,9,0] has 3 digits.
[8,1,9] + [6,9,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[8,1] + [6,9] , A=[9] , C=0 , 1+9+0=10 , A->0 , C->1
[8] + [6] , A=[0,9] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,0,9] C=1 , END
</scratch>
1509
| 1509 |
Input:
35+895
Target:
| Input:
35+895
Target:
<scratch>
[3,5] has 2 digits.
[8,9,5] has 3 digits.
[3,5] + [8,9,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[3] + [8,9] , A=[0] , C=1 , 3+9+1=13 , A->3 , C->1
[] + [8] , A=[3,0] , C=1 , 0+8+1=9 , A->9 , C->0
[] + [] , A=[9,3,0] C=0 , END
</scratch>
930
| 930 |
Input:
910+763
Target:
| Input:
910+763
Target:
<scratch>
[9,1,0] has 3 digits.
[7,6,3] has 3 digits.
[9,1,0] + [7,6,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[9,1] + [7,6] , A=[3] , C=0 , 1+6+0=7 , A->7 , C->0
[9] + [7] , A=[7,3] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,7,3] C=1 , END
</scratch>
1673
| 1673 |
Input:
656+634
Target:
| Input:
656+634
Target:
<scratch>
[6,5,6] has 3 digits.
[6,3,4] has 3 digits.
[6,5,6] + [6,3,4] , A=[] , C=0 , 6+4+0=10 , A->0 , C->1
[6,5] + [6,3] , A=[0] , C=1 , 5+3+1=9 , A->9 , C->0
[6] + [6] , A=[9,0] , C=0 , 6+6+0=12 , A->2 , C->1
[] + [] , A=[2,9,0] C=1 , END
</scratch>
1290
| 1290 |
Input:
880+577
Target:
| Input:
880+577
Target:
<scratch>
[8,8,0] has 3 digits.
[5,7,7] has 3 digits.
[8,8,0] + [5,7,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[8,8] + [5,7] , A=[7] , C=0 , 8+7+0=15 , A->5 , C->1
[8] + [5] , A=[5,7] , C=1 , 8+5+1=14 , A->4 , C->1
[] + [] , A=[4,5,7] C=1 , END
</scratch>
1457
| 1457 |
Input:
170+496
Target:
| Input:
170+496
Target:
<scratch>
[1,7,0] has 3 digits.
[4,9,6] has 3 digits.
[1,7,0] + [4,9,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[1,7] + [4,9] , A=[6] , C=0 , 7+9+0=16 , A->6 , C->1
[1] + [4] , A=[6,6] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,6,6] C=0 , END
</scratch>
666
| 666 |
Input:
172+564
Target:
| Input:
172+564
Target:
<scratch>
[1,7,2] has 3 digits.
[5,6,4] has 3 digits.
[1,7,2] + [5,6,4] , A=[] , C=0 , 2+4+0=6 , A->6 , C->0
[1,7] + [5,6] , A=[6] , C=0 , 7+6+0=13 , A->3 , C->1
[1] + [5] , A=[3,6] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,3,6] C=0 , END
</scratch>
736
| 736 |
Input:
101+226
Target:
| Input:
101+226
Target:
<scratch>
[1,0,1] has 3 digits.
[2,2,6] has 3 digits.
[1,0,1] + [2,2,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[1,0] + [2,2] , A=[7] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [2] , A=[2,7] , C=0 , 1+2+0=3 , A->3 , C->0
[] + [] , A=[3,2,7] C=0 , END
</scratch>
327
| 327 |
Input:
249+293
Target:
| Input:
249+293
Target:
<scratch>
[2,4,9] has 3 digits.
[2,9,3] has 3 digits.
[2,4,9] + [2,9,3] , A=[] , C=0 , 9+3+0=12 , A->2 , C->1
[2,4] + [2,9] , A=[2] , C=1 , 4+9+1=14 , A->4 , C->1
[2] + [2] , A=[4,2] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,4,2] C=0 , END
</scratch>
542
| 542 |
Input:
285+858
Target:
| Input:
285+858
Target:
<scratch>
[2,8,5] has 3 digits.
[8,5,8] has 3 digits.
[2,8,5] + [8,5,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[2,8] + [8,5] , A=[3] , C=1 , 8+5+1=14 , A->4 , C->1
[2] + [8] , A=[4,3] , C=1 , 2+8+1=11 , A->1 , C->1
[] + [] , A=[1,4,3] C=1 , END
</scratch>
1143
| 1143 |
Input:
604+476
Target:
| Input:
604+476
Target:
<scratch>
[6,0,4] has 3 digits.
[4,7,6] has 3 digits.
[6,0,4] + [4,7,6] , A=[] , C=0 , 4+6+0=10 , A->0 , C->1
[6,0] + [4,7] , A=[0] , C=1 , 0+7+1=8 , A->8 , C->0
[6] + [4] , A=[8,0] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,8,0] C=1 , END
</scratch>
1080
| 1080 |
Input:
105+395
Target:
| Input:
105+395
Target:
<scratch>
[1,0,5] has 3 digits.
[3,9,5] has 3 digits.
[1,0,5] + [3,9,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[1,0] + [3,9] , A=[0] , C=1 , 0+9+1=10 , A->0 , C->1
[1] + [3] , A=[0,0] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,0,0] C=0 , END
</scratch>
500
| 500 |
Input:
197+542
Target:
| Input:
197+542
Target:
<scratch>
[1,9,7] has 3 digits.
[5,4,2] has 3 digits.
[1,9,7] + [5,4,2] , A=[] , C=0 , 7+2+0=9 , A->9 , C->0
[1,9] + [5,4] , A=[9] , C=0 , 9+4+0=13 , A->3 , C->1
[1] + [5] , A=[3,9] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,3,9] C=0 , END
</scratch>
739
| 739 |
Input:
217+705
Target:
| Input:
217+705
Target:
<scratch>
[2,1,7] has 3 digits.
[7,0,5] has 3 digits.
[2,1,7] + [7,0,5] , A=[] , C=0 , 7+5+0=12 , A->2 , C->1
[2,1] + [7,0] , A=[2] , C=1 , 1+0+1=2 , A->2 , C->0
[2] + [7] , A=[2,2] , C=0 , 2+7+0=9 , A->9 , C->0
[] + [] , A=[9,2,2] C=0 , END
</scratch>
922
| 922 |
Input:
297+283
Target:
| Input:
297+283
Target:
<scratch>
[2,9,7] has 3 digits.
[2,8,3] has 3 digits.
[2,9,7] + [2,8,3] , A=[] , C=0 , 7+3+0=10 , A->0 , C->1
[2,9] + [2,8] , A=[0] , C=1 , 9+8+1=18 , A->8 , C->1
[2] + [2] , A=[8,0] , C=1 , 2+2+1=5 , A->5 , C->0
[] + [] , A=[5,8,0] C=0 , END
</scratch>
580
| 580 |
Input:
629+267
Target:
| Input:
629+267
Target:
<scratch>
[6,2,9] has 3 digits.
[2,6,7] has 3 digits.
[6,2,9] + [2,6,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[6,2] + [2,6] , A=[6] , C=1 , 2+6+1=9 , A->9 , C->0
[6] + [2] , A=[9,6] , C=0 , 6+2+0=8 , A->8 , C->0
[] + [] , A=[8,9,6] C=0 , END
</scratch>
896
| 896 |
Input:
857+519
Target:
| Input:
857+519
Target:
<scratch>
[8,5,7] has 3 digits.
[5,1,9] has 3 digits.
[8,5,7] + [5,1,9] , A=[] , C=0 , 7+9+0=16 , A->6 , C->1
[8,5] + [5,1] , A=[6] , C=1 , 5+1+1=7 , A->7 , C->0
[8] + [5] , A=[7,6] , C=0 , 8+5+0=13 , A->3 , C->1
[] + [] , A=[3,7,6] C=1 , END
</scratch>
1376
| 1376 |
Input:
721+841
Target:
| Input:
721+841
Target:
<scratch>
[7,2,1] has 3 digits.
[8,4,1] has 3 digits.
[7,2,1] + [8,4,1] , A=[] , C=0 , 1+1+0=2 , A->2 , C->0
[7,2] + [8,4] , A=[2] , C=0 , 2+4+0=6 , A->6 , C->0
[7] + [8] , A=[6,2] , C=0 , 7+8+0=15 , A->5 , C->1
[] + [] , A=[5,6,2] C=1 , END
</scratch>
1562
| 1562 |
Input:
231+70
Target:
| Input:
231+70
Target:
<scratch>
[2,3,1] has 3 digits.
[7,0] has 2 digits.
[2,3,1] + [7,0] , A=[] , C=0 , 1+0+0=1 , A->1 , C->0
[2,3] + [7] , A=[1] , C=0 , 3+7+0=10 , A->0 , C->1
[2] + [] , A=[0,1] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,0,1] C=0 , END
</scratch>
301
| 301 |
Input:
504+772
Target:
| Input:
504+772
Target:
<scratch>
[5,0,4] has 3 digits.
[7,7,2] has 3 digits.
[5,0,4] + [7,7,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[5,0] + [7,7] , A=[6] , C=0 , 0+7+0=7 , A->7 , C->0
[5] + [7] , A=[7,6] , C=0 , 5+7+0=12 , A->2 , C->1
[] + [] , A=[2,7,6] C=1 , END
</scratch>
1276
| 1276 |
Input:
240+90
Target:
| Input:
240+90
Target:
<scratch>
[2,4,0] has 3 digits.
[9,0] has 2 digits.
[2,4,0] + [9,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[2,4] + [9] , A=[0] , C=0 , 4+9+0=13 , A->3 , C->1
[2] + [] , A=[3,0] , C=1 , 2+0+1=3 , A->3 , C->0
[] + [] , A=[3,3,0] C=0 , END
</scratch>
330
| 330 |
Input:
860+313
Target:
| Input:
860+313
Target:
<scratch>
[8,6,0] has 3 digits.
[3,1,3] has 3 digits.
[8,6,0] + [3,1,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[8,6] + [3,1] , A=[3] , C=0 , 6+1+0=7 , A->7 , C->0
[8] + [3] , A=[7,3] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,7,3] C=1 , END
</scratch>
1173
| 1173 |
Input:
180+368
Target:
| Input:
180+368
Target:
<scratch>
[1,8,0] has 3 digits.
[3,6,8] has 3 digits.
[1,8,0] + [3,6,8] , A=[] , C=0 , 0+8+0=8 , A->8 , C->0
[1,8] + [3,6] , A=[8] , C=0 , 8+6+0=14 , A->4 , C->1
[1] + [3] , A=[4,8] , C=1 , 1+3+1=5 , A->5 , C->0
[] + [] , A=[5,4,8] C=0 , END
</scratch>
548
| 548 |
Input:
602+473
Target:
| Input:
602+473
Target:
<scratch>
[6,0,2] has 3 digits.
[4,7,3] has 3 digits.
[6,0,2] + [4,7,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[6,0] + [4,7] , A=[5] , C=0 , 0+7+0=7 , A->7 , C->0
[6] + [4] , A=[7,5] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,7,5] C=1 , END
</scratch>
1075
| 1075 |
Input:
517+691
Target:
| Input:
517+691
Target:
<scratch>
[5,1,7] has 3 digits.
[6,9,1] has 3 digits.
[5,1,7] + [6,9,1] , A=[] , C=0 , 7+1+0=8 , A->8 , C->0
[5,1] + [6,9] , A=[8] , C=0 , 1+9+0=10 , A->0 , C->1
[5] + [6] , A=[0,8] , C=1 , 5+6+1=12 , A->2 , C->1
[] + [] , A=[2,0,8] C=1 , END
</scratch>
1208
| 1208 |
Input:
915+656
Target:
| Input:
915+656
Target:
<scratch>
[9,1,5] has 3 digits.
[6,5,6] has 3 digits.
[9,1,5] + [6,5,6] , A=[] , C=0 , 5+6+0=11 , A->1 , C->1
[9,1] + [6,5] , A=[1] , C=1 , 1+5+1=7 , A->7 , C->0
[9] + [6] , A=[7,1] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [] , A=[5,7,1] C=1 , END
</scratch>
1571
| 1571 |
Input:
706+449
Target:
| Input:
706+449
Target:
<scratch>
[7,0,6] has 3 digits.
[4,4,9] has 3 digits.
[7,0,6] + [4,4,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[7,0] + [4,4] , A=[5] , C=1 , 0+4+1=5 , A->5 , C->0
[7] + [4] , A=[5,5] , C=0 , 7+4+0=11 , A->1 , C->1
[] + [] , A=[1,5,5] C=1 , END
</scratch>
1155
| 1155 |
Input:
568+1
Target:
| Input:
568+1
Target:
<scratch>
[5,6,8] has 3 digits.
[1] has 1 digits.
[5,6,8] + [1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[5,6] + [] , A=[9] , C=0 , 6+0+0=6 , A->6 , C->0
[5] + [] , A=[6,9] , C=0 , 5+0+0=5 , A->5 , C->0
[] + [] , A=[5,6,9] C=0 , END
</scratch>
569
| 569 |
Input:
153+607
Target:
| Input:
153+607
Target:
<scratch>
[1,5,3] has 3 digits.
[6,0,7] has 3 digits.
[1,5,3] + [6,0,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[1,5] + [6,0] , A=[0] , C=1 , 5+0+1=6 , A->6 , C->0
[1] + [6] , A=[6,0] , C=0 , 1+6+0=7 , A->7 , C->0
[] + [] , A=[7,6,0] C=0 , END
</scratch>
760
| 760 |
Input:
105+21
Target:
| Input:
105+21
Target:
<scratch>
[1,0,5] has 3 digits.
[2,1] has 2 digits.
[1,0,5] + [2,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[1,0] + [2] , A=[6] , C=0 , 0+2+0=2 , A->2 , C->0
[1] + [] , A=[2,6] , C=0 , 1+0+0=1 , A->1 , C->0
[] + [] , A=[1,2,6] C=0 , END
</scratch>
126
| 126 |
Input:
897+618
Target:
| Input:
897+618
Target:
<scratch>
[8,9,7] has 3 digits.
[6,1,8] has 3 digits.
[8,9,7] + [6,1,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[8,9] + [6,1] , A=[5] , C=1 , 9+1+1=11 , A->1 , C->1
[8] + [6] , A=[1,5] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,1,5] C=1 , END
</scratch>
1515
| 1515 |
Input:
39+408
Target:
| Input:
39+408
Target:
<scratch>
[3,9] has 2 digits.
[4,0,8] has 3 digits.
[3,9] + [4,0,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[3] + [4,0] , A=[7] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [4] , A=[4,7] , C=0 , 0+4+0=4 , A->4 , C->0
[] + [] , A=[4,4,7] C=0 , END
</scratch>
447
| 447 |
Input:
196+639
Target:
| Input:
196+639
Target:
<scratch>
[1,9,6] has 3 digits.
[6,3,9] has 3 digits.
[1,9,6] + [6,3,9] , A=[] , C=0 , 6+9+0=15 , A->5 , C->1
[1,9] + [6,3] , A=[5] , C=1 , 9+3+1=13 , A->3 , C->1
[1] + [6] , A=[3,5] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,3,5] C=0 , END
</scratch>
835
| 835 |
Input:
190+163
Target:
| Input:
190+163
Target:
<scratch>
[1,9,0] has 3 digits.
[1,6,3] has 3 digits.
[1,9,0] + [1,6,3] , A=[] , C=0 , 0+3+0=3 , A->3 , C->0
[1,9] + [1,6] , A=[3] , C=0 , 9+6+0=15 , A->5 , C->1
[1] + [1] , A=[5,3] , C=1 , 1+1+1=3 , A->3 , C->0
[] + [] , A=[3,5,3] C=0 , END
</scratch>
353
| 353 |
Input:
955+601
Target:
| Input:
955+601
Target:
<scratch>
[9,5,5] has 3 digits.
[6,0,1] has 3 digits.
[9,5,5] + [6,0,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9,5] + [6,0] , A=[6] , C=0 , 5+0+0=5 , A->5 , C->0
[9] + [6] , A=[5,6] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [] , A=[5,5,6] C=1 , END
</scratch>
1556
| 1556 |
Input:
743+387
Target:
| Input:
743+387
Target:
<scratch>
[7,4,3] has 3 digits.
[3,8,7] has 3 digits.
[7,4,3] + [3,8,7] , A=[] , C=0 , 3+7+0=10 , A->0 , C->1
[7,4] + [3,8] , A=[0] , C=1 , 4+8+1=13 , A->3 , C->1
[7] + [3] , A=[3,0] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,3,0] C=1 , END
</scratch>
1130
| 1130 |
Input:
784+534
Target:
| Input:
784+534
Target:
<scratch>
[7,8,4] has 3 digits.
[5,3,4] has 3 digits.
[7,8,4] + [5,3,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[7,8] + [5,3] , A=[8] , C=0 , 8+3+0=11 , A->1 , C->1
[7] + [5] , A=[1,8] , C=1 , 7+5+1=13 , A->3 , C->1
[] + [] , A=[3,1,8] C=1 , END
</scratch>
1318
| 1318 |
Input:
124+693
Target:
| Input:
124+693
Target:
<scratch>
[1,2,4] has 3 digits.
[6,9,3] has 3 digits.
[1,2,4] + [6,9,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[1,2] + [6,9] , A=[7] , C=0 , 2+9+0=11 , A->1 , C->1
[1] + [6] , A=[1,7] , C=1 , 1+6+1=8 , A->8 , C->0
[] + [] , A=[8,1,7] C=0 , END
</scratch>
817
| 817 |
Input:
564+923
Target:
| Input:
564+923
Target:
<scratch>
[5,6,4] has 3 digits.
[9,2,3] has 3 digits.
[5,6,4] + [9,2,3] , A=[] , C=0 , 4+3+0=7 , A->7 , C->0
[5,6] + [9,2] , A=[7] , C=0 , 6+2+0=8 , A->8 , C->0
[5] + [9] , A=[8,7] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,8,7] C=1 , END
</scratch>
1487
| 1487 |
Input:
798+394
Target:
| Input:
798+394
Target:
<scratch>
[7,9,8] has 3 digits.
[3,9,4] has 3 digits.
[7,9,8] + [3,9,4] , A=[] , C=0 , 8+4+0=12 , A->2 , C->1
[7,9] + [3,9] , A=[2] , C=1 , 9+9+1=19 , A->9 , C->1
[7] + [3] , A=[9,2] , C=1 , 7+3+1=11 , A->1 , C->1
[] + [] , A=[1,9,2] C=1 , END
</scratch>
1192
| 1192 |
Input:
662+465
Target:
| Input:
662+465
Target:
<scratch>
[6,6,2] has 3 digits.
[4,6,5] has 3 digits.
[6,6,2] + [4,6,5] , A=[] , C=0 , 2+5+0=7 , A->7 , C->0
[6,6] + [4,6] , A=[7] , C=0 , 6+6+0=12 , A->2 , C->1
[6] + [4] , A=[2,7] , C=1 , 6+4+1=11 , A->1 , C->1
[] + [] , A=[1,2,7] C=1 , END
</scratch>
1127
| 1127 |
Input:
20+984
Target:
| Input:
20+984
Target:
<scratch>
[2,0] has 2 digits.
[9,8,4] has 3 digits.
[2,0] + [9,8,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[2] + [9,8] , A=[4] , C=0 , 2+8+0=10 , A->0 , C->1
[] + [9] , A=[0,4] , C=1 , 0+9+1=10 , A->0 , C->1
[] + [] , A=[0,0,4] C=1 , END
</scratch>
1004
| 1004 |
Input:
949+878
Target:
| Input:
949+878
Target:
<scratch>
[9,4,9] has 3 digits.
[8,7,8] has 3 digits.
[9,4,9] + [8,7,8] , A=[] , C=0 , 9+8+0=17 , A->7 , C->1
[9,4] + [8,7] , A=[7] , C=1 , 4+7+1=12 , A->2 , C->1
[9] + [8] , A=[2,7] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,2,7] C=1 , END
</scratch>
1827
| 1827 |
Input:
199+282
Target:
| Input:
199+282
Target:
<scratch>
[1,9,9] has 3 digits.
[2,8,2] has 3 digits.
[1,9,9] + [2,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[1,9] + [2,8] , A=[1] , C=1 , 9+8+1=18 , A->8 , C->1
[1] + [2] , A=[8,1] , C=1 , 1+2+1=4 , A->4 , C->0
[] + [] , A=[4,8,1] C=0 , END
</scratch>
481
| 481 |
Input:
169+925
Target:
| Input:
169+925
Target:
<scratch>
[1,6,9] has 3 digits.
[9,2,5] has 3 digits.
[1,6,9] + [9,2,5] , A=[] , C=0 , 9+5+0=14 , A->4 , C->1
[1,6] + [9,2] , A=[4] , C=1 , 6+2+1=9 , A->9 , C->0
[1] + [9] , A=[9,4] , C=0 , 1+9+0=10 , A->0 , C->1
[] + [] , A=[0,9,4] C=1 , END
</scratch>
1094
| 1094 |
Input:
839+240
Target:
| Input:
839+240
Target:
<scratch>
[8,3,9] has 3 digits.
[2,4,0] has 3 digits.
[8,3,9] + [2,4,0] , A=[] , C=0 , 9+0+0=9 , A->9 , C->0
[8,3] + [2,4] , A=[9] , C=0 , 3+4+0=7 , A->7 , C->0
[8] + [2] , A=[7,9] , C=0 , 8+2+0=10 , A->0 , C->1
[] + [] , A=[0,7,9] C=1 , END
</scratch>
1079
| 1079 |
Input:
508+911
Target:
| Input:
508+911
Target:
<scratch>
[5,0,8] has 3 digits.
[9,1,1] has 3 digits.
[5,0,8] + [9,1,1] , A=[] , C=0 , 8+1+0=9 , A->9 , C->0
[5,0] + [9,1] , A=[9] , C=0 , 0+1+0=1 , A->1 , C->0
[5] + [9] , A=[1,9] , C=0 , 5+9+0=14 , A->4 , C->1
[] + [] , A=[4,1,9] C=1 , END
</scratch>
1419
| 1419 |
Input:
616+351
Target:
| Input:
616+351
Target:
<scratch>
[6,1,6] has 3 digits.
[3,5,1] has 3 digits.
[6,1,6] + [3,5,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[6,1] + [3,5] , A=[7] , C=0 , 1+5+0=6 , A->6 , C->0
[6] + [3] , A=[6,7] , C=0 , 6+3+0=9 , A->9 , C->0
[] + [] , A=[9,6,7] C=0 , END
</scratch>
967
| 967 |
Input:
608+440
Target:
| Input:
608+440
Target:
<scratch>
[6,0,8] has 3 digits.
[4,4,0] has 3 digits.
[6,0,8] + [4,4,0] , A=[] , C=0 , 8+0+0=8 , A->8 , C->0
[6,0] + [4,4] , A=[8] , C=0 , 0+4+0=4 , A->4 , C->0
[6] + [4] , A=[4,8] , C=0 , 6+4+0=10 , A->0 , C->1
[] + [] , A=[0,4,8] C=1 , END
</scratch>
1048
| 1048 |
Input:
783+125
Target:
| Input:
783+125
Target:
<scratch>
[7,8,3] has 3 digits.
[1,2,5] has 3 digits.
[7,8,3] + [1,2,5] , A=[] , C=0 , 3+5+0=8 , A->8 , C->0
[7,8] + [1,2] , A=[8] , C=0 , 8+2+0=10 , A->0 , C->1
[7] + [1] , A=[0,8] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,0,8] C=0 , END
</scratch>
908
| 908 |
Input:
878+305
Target:
| Input:
878+305
Target:
<scratch>
[8,7,8] has 3 digits.
[3,0,5] has 3 digits.
[8,7,8] + [3,0,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[8,7] + [3,0] , A=[3] , C=1 , 7+0+1=8 , A->8 , C->0
[8] + [3] , A=[8,3] , C=0 , 8+3+0=11 , A->1 , C->1
[] + [] , A=[1,8,3] C=1 , END
</scratch>
1183
| 1183 |
Input:
897+607
Target:
| Input:
897+607
Target:
<scratch>
[8,9,7] has 3 digits.
[6,0,7] has 3 digits.
[8,9,7] + [6,0,7] , A=[] , C=0 , 7+7+0=14 , A->4 , C->1
[8,9] + [6,0] , A=[4] , C=1 , 9+0+1=10 , A->0 , C->1
[8] + [6] , A=[0,4] , C=1 , 8+6+1=15 , A->5 , C->1
[] + [] , A=[5,0,4] C=1 , END
</scratch>
1504
| 1504 |
Input:
365+898
Target:
| Input:
365+898
Target:
<scratch>
[3,6,5] has 3 digits.
[8,9,8] has 3 digits.
[3,6,5] + [8,9,8] , A=[] , C=0 , 5+8+0=13 , A->3 , C->1
[3,6] + [8,9] , A=[3] , C=1 , 6+9+1=16 , A->6 , C->1
[3] + [8] , A=[6,3] , C=1 , 3+8+1=12 , A->2 , C->1
[] + [] , A=[2,6,3] C=1 , END
</scratch>
1263
| 1263 |
Input:
281+679
Target:
| Input:
281+679
Target:
<scratch>
[2,8,1] has 3 digits.
[6,7,9] has 3 digits.
[2,8,1] + [6,7,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[2,8] + [6,7] , A=[0] , C=1 , 8+7+1=16 , A->6 , C->1
[2] + [6] , A=[6,0] , C=1 , 2+6+1=9 , A->9 , C->0
[] + [] , A=[9,6,0] C=0 , END
</scratch>
960
| 960 |
Input:
742+268
Target:
| Input:
742+268
Target:
<scratch>
[7,4,2] has 3 digits.
[2,6,8] has 3 digits.
[7,4,2] + [2,6,8] , A=[] , C=0 , 2+8+0=10 , A->0 , C->1
[7,4] + [2,6] , A=[0] , C=1 , 4+6+1=11 , A->1 , C->1
[7] + [2] , A=[1,0] , C=1 , 7+2+1=10 , A->0 , C->1
[] + [] , A=[0,1,0] C=1 , END
</scratch>
1010
| 1010 |
Input:
92+76
Target:
| Input:
92+76
Target:
<scratch>
[9,2] has 2 digits.
[7,6] has 2 digits.
[9,2] + [7,6] , A=[] , C=0 , 2+6+0=8 , A->8 , C->0
[9] + [7] , A=[8] , C=0 , 9+7+0=16 , A->6 , C->1
[] + [] , A=[6,8] C=1 , END
</scratch>
168
| 168 |
Input:
276+381
Target:
| Input:
276+381
Target:
<scratch>
[2,7,6] has 3 digits.
[3,8,1] has 3 digits.
[2,7,6] + [3,8,1] , A=[] , C=0 , 6+1+0=7 , A->7 , C->0
[2,7] + [3,8] , A=[7] , C=0 , 7+8+0=15 , A->5 , C->1
[2] + [3] , A=[5,7] , C=1 , 2+3+1=6 , A->6 , C->0
[] + [] , A=[6,5,7] C=0 , END
</scratch>
657
| 657 |
Input:
400+976
Target:
| Input:
400+976
Target:
<scratch>
[4,0,0] has 3 digits.
[9,7,6] has 3 digits.
[4,0,0] + [9,7,6] , A=[] , C=0 , 0+6+0=6 , A->6 , C->0
[4,0] + [9,7] , A=[6] , C=0 , 0+7+0=7 , A->7 , C->0
[4] + [9] , A=[7,6] , C=0 , 4+9+0=13 , A->3 , C->1
[] + [] , A=[3,7,6] C=1 , END
</scratch>
1376
| 1376 |
Input:
428+237
Target:
| Input:
428+237
Target:
<scratch>
[4,2,8] has 3 digits.
[2,3,7] has 3 digits.
[4,2,8] + [2,3,7] , A=[] , C=0 , 8+7+0=15 , A->5 , C->1
[4,2] + [2,3] , A=[5] , C=1 , 2+3+1=6 , A->6 , C->0
[4] + [2] , A=[6,5] , C=0 , 4+2+0=6 , A->6 , C->0
[] + [] , A=[6,6,5] C=0 , END
</scratch>
665
| 665 |
Input:
590+234
Target:
| Input:
590+234
Target:
<scratch>
[5,9,0] has 3 digits.
[2,3,4] has 3 digits.
[5,9,0] + [2,3,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[5,9] + [2,3] , A=[4] , C=0 , 9+3+0=12 , A->2 , C->1
[5] + [2] , A=[2,4] , C=1 , 5+2+1=8 , A->8 , C->0
[] + [] , A=[8,2,4] C=0 , END
</scratch>
824
| 824 |
Input:
44+232
Target:
| Input:
44+232
Target:
<scratch>
[4,4] has 2 digits.
[2,3,2] has 3 digits.
[4,4] + [2,3,2] , A=[] , C=0 , 4+2+0=6 , A->6 , C->0
[4] + [2,3] , A=[6] , C=0 , 4+3+0=7 , A->7 , C->0
[] + [2] , A=[7,6] , C=0 , 0+2+0=2 , A->2 , C->0
[] + [] , A=[2,7,6] C=0 , END
</scratch>
276
| 276 |
Input:
400+54
Target:
| Input:
400+54
Target:
<scratch>
[4,0,0] has 3 digits.
[5,4] has 2 digits.
[4,0,0] + [5,4] , A=[] , C=0 , 0+4+0=4 , A->4 , C->0
[4,0] + [5] , A=[4] , C=0 , 0+5+0=5 , A->5 , C->0
[4] + [] , A=[5,4] , C=0 , 4+0+0=4 , A->4 , C->0
[] + [] , A=[4,5,4] C=0 , END
</scratch>
454
| 454 |
Input:
189+457
Target:
| Input:
189+457
Target:
<scratch>
[1,8,9] has 3 digits.
[4,5,7] has 3 digits.
[1,8,9] + [4,5,7] , A=[] , C=0 , 9+7+0=16 , A->6 , C->1
[1,8] + [4,5] , A=[6] , C=1 , 8+5+1=14 , A->4 , C->1
[1] + [4] , A=[4,6] , C=1 , 1+4+1=6 , A->6 , C->0
[] + [] , A=[6,4,6] C=0 , END
</scratch>
646
| 646 |
Input:
314+91
Target:
| Input:
314+91
Target:
<scratch>
[3,1,4] has 3 digits.
[9,1] has 2 digits.
[3,1,4] + [9,1] , A=[] , C=0 , 4+1+0=5 , A->5 , C->0
[3,1] + [9] , A=[5] , C=0 , 1+9+0=10 , A->0 , C->1
[3] + [] , A=[0,5] , C=1 , 3+0+1=4 , A->4 , C->0
[] + [] , A=[4,0,5] C=0 , END
</scratch>
405
| 405 |
Input:
177+558
Target:
| Input:
177+558
Target:
<scratch>
[1,7,7] has 3 digits.
[5,5,8] has 3 digits.
[1,7,7] + [5,5,8] , A=[] , C=0 , 7+8+0=15 , A->5 , C->1
[1,7] + [5,5] , A=[5] , C=1 , 7+5+1=13 , A->3 , C->1
[1] + [5] , A=[3,5] , C=1 , 1+5+1=7 , A->7 , C->0
[] + [] , A=[7,3,5] C=0 , END
</scratch>
735
| 735 |
Input:
460+487
Target:
| Input:
460+487
Target:
<scratch>
[4,6,0] has 3 digits.
[4,8,7] has 3 digits.
[4,6,0] + [4,8,7] , A=[] , C=0 , 0+7+0=7 , A->7 , C->0
[4,6] + [4,8] , A=[7] , C=0 , 6+8+0=14 , A->4 , C->1
[4] + [4] , A=[4,7] , C=1 , 4+4+1=9 , A->9 , C->0
[] + [] , A=[9,4,7] C=0 , END
</scratch>
947
| 947 |
Input:
894+434
Target:
| Input:
894+434
Target:
<scratch>
[8,9,4] has 3 digits.
[4,3,4] has 3 digits.
[8,9,4] + [4,3,4] , A=[] , C=0 , 4+4+0=8 , A->8 , C->0
[8,9] + [4,3] , A=[8] , C=0 , 9+3+0=12 , A->2 , C->1
[8] + [4] , A=[2,8] , C=1 , 8+4+1=13 , A->3 , C->1
[] + [] , A=[3,2,8] C=1 , END
</scratch>
1328
| 1328 |
Input:
495+363
Target:
| Input:
495+363
Target:
<scratch>
[4,9,5] has 3 digits.
[3,6,3] has 3 digits.
[4,9,5] + [3,6,3] , A=[] , C=0 , 5+3+0=8 , A->8 , C->0
[4,9] + [3,6] , A=[8] , C=0 , 9+6+0=15 , A->5 , C->1
[4] + [3] , A=[5,8] , C=1 , 4+3+1=8 , A->8 , C->0
[] + [] , A=[8,5,8] C=0 , END
</scratch>
858
| 858 |
Input:
58+909
Target:
| Input:
58+909
Target:
<scratch>
[5,8] has 2 digits.
[9,0,9] has 3 digits.
[5,8] + [9,0,9] , A=[] , C=0 , 8+9+0=17 , A->7 , C->1
[5] + [9,0] , A=[7] , C=1 , 5+0+1=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:
712+190
Target:
| Input:
712+190
Target:
<scratch>
[7,1,2] has 3 digits.
[1,9,0] has 3 digits.
[7,1,2] + [1,9,0] , A=[] , C=0 , 2+0+0=2 , A->2 , C->0
[7,1] + [1,9] , A=[2] , C=0 , 1+9+0=10 , A->0 , C->1
[7] + [1] , A=[0,2] , C=1 , 7+1+1=9 , A->9 , C->0
[] + [] , A=[9,0,2] C=0 , END
</scratch>
902
| 902 |
Input:
735+354
Target:
| Input:
735+354
Target:
<scratch>
[7,3,5] has 3 digits.
[3,5,4] has 3 digits.
[7,3,5] + [3,5,4] , A=[] , C=0 , 5+4+0=9 , A->9 , C->0
[7,3] + [3,5] , A=[9] , C=0 , 3+5+0=8 , A->8 , C->0
[7] + [3] , A=[8,9] , C=0 , 7+3+0=10 , A->0 , C->1
[] + [] , A=[0,8,9] C=1 , END
</scratch>
1089
| 1089 |
Input:
764+699
Target:
| Input:
764+699
Target:
<scratch>
[7,6,4] has 3 digits.
[6,9,9] has 3 digits.
[7,6,4] + [6,9,9] , A=[] , C=0 , 4+9+0=13 , A->3 , C->1
[7,6] + [6,9] , A=[3] , C=1 , 6+9+1=16 , A->6 , C->1
[7] + [6] , A=[6,3] , C=1 , 7+6+1=14 , A->4 , C->1
[] + [] , A=[4,6,3] C=1 , END
</scratch>
1463
| 1463 |
Input:
441+179
Target:
| Input:
441+179
Target:
<scratch>
[4,4,1] has 3 digits.
[1,7,9] has 3 digits.
[4,4,1] + [1,7,9] , A=[] , C=0 , 1+9+0=10 , A->0 , C->1
[4,4] + [1,7] , A=[0] , C=1 , 4+7+1=12 , A->2 , C->1
[4] + [1] , A=[2,0] , C=1 , 4+1+1=6 , A->6 , C->0
[] + [] , A=[6,2,0] C=0 , END
</scratch>
620
| 620 |
Input:
459+682
Target:
| Input:
459+682
Target:
<scratch>
[4,5,9] has 3 digits.
[6,8,2] has 3 digits.
[4,5,9] + [6,8,2] , A=[] , C=0 , 9+2+0=11 , A->1 , C->1
[4,5] + [6,8] , A=[1] , C=1 , 5+8+1=14 , A->4 , C->1
[4] + [6] , A=[4,1] , C=1 , 4+6+1=11 , A->1 , C->1
[] + [] , A=[1,4,1] C=1 , END
</scratch>
1141
| 1141 |
Input:
580+480
Target:
| Input:
580+480
Target:
<scratch>
[5,8,0] has 3 digits.
[4,8,0] has 3 digits.
[5,8,0] + [4,8,0] , A=[] , C=0 , 0+0+0=0 , A->0 , C->0
[5,8] + [4,8] , A=[0] , C=0 , 8+8+0=16 , A->6 , C->1
[5] + [4] , A=[6,0] , C=1 , 5+4+1=10 , A->0 , C->1
[] + [] , A=[0,6,0] C=1 , END
</scratch>
1060
| 1060 |
Input:
322+743
Target:
| Input:
322+743
Target:
<scratch>
[3,2,2] has 3 digits.
[7,4,3] has 3 digits.
[3,2,2] + [7,4,3] , A=[] , C=0 , 2+3+0=5 , A->5 , C->0
[3,2] + [7,4] , A=[5] , C=0 , 2+4+0=6 , A->6 , C->0
[3] + [7] , A=[6,5] , C=0 , 3+7+0=10 , A->0 , C->1
[] + [] , A=[0,6,5] C=1 , END
</scratch>
1065
| 1065 |
Input:
95+815
Target:
| Input:
95+815
Target:
<scratch>
[9,5] has 2 digits.
[8,1,5] has 3 digits.
[9,5] + [8,1,5] , A=[] , C=0 , 5+5+0=10 , A->0 , C->1
[9] + [8,1] , A=[0] , C=1 , 9+1+1=11 , A->1 , C->1
[] + [8] , A=[1,0] , C=1 , 0+8+1=9 , A->9 , C->0
[] + [] , A=[9,1,0] C=0 , END
</scratch>
910
| 910 |
Input:
538+245
Target:
| Input:
538+245
Target:
<scratch>
[5,3,8] has 3 digits.
[2,4,5] has 3 digits.
[5,3,8] + [2,4,5] , A=[] , C=0 , 8+5+0=13 , A->3 , C->1
[5,3] + [2,4] , A=[3] , C=1 , 3+4+1=8 , A->8 , C->0
[5] + [2] , A=[8,3] , C=0 , 5+2+0=7 , A->7 , C->0
[] + [] , A=[7,8,3] C=0 , END
</scratch>
783
| 783 |
Input:
983+849
Target:
| Input:
983+849
Target:
<scratch>
[9,8,3] has 3 digits.
[8,4,9] has 3 digits.
[9,8,3] + [8,4,9] , A=[] , C=0 , 3+9+0=12 , A->2 , C->1
[9,8] + [8,4] , A=[2] , C=1 , 8+4+1=13 , A->3 , C->1
[9] + [8] , A=[3,2] , C=1 , 9+8+1=18 , A->8 , C->1
[] + [] , A=[8,3,2] C=1 , END
</scratch>
1832
| 1832 |
Input:
991+636
Target:
| Input:
991+636
Target:
<scratch>
[9,9,1] has 3 digits.
[6,3,6] has 3 digits.
[9,9,1] + [6,3,6] , A=[] , C=0 , 1+6+0=7 , A->7 , C->0
[9,9] + [6,3] , A=[7] , C=0 , 9+3+0=12 , A->2 , C->1
[9] + [6] , A=[2,7] , C=1 , 9+6+1=16 , A->6 , C->1
[] + [] , A=[6,2,7] C=1 , END
</scratch>
1627
| 1627 |
Input:
95+661
Target:
| Input:
95+661
Target:
<scratch>
[9,5] has 2 digits.
[6,6,1] has 3 digits.
[9,5] + [6,6,1] , A=[] , C=0 , 5+1+0=6 , A->6 , C->0
[9] + [6,6] , A=[6] , C=0 , 9+6+0=15 , A->5 , C->1
[] + [6] , A=[5,6] , C=1 , 0+6+1=7 , A->7 , C->0
[] + [] , A=[7,5,6] C=0 , END
</scratch>
756
| 756 |
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