nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
50,
88,
81,
4
] | 36 | [
"81-50=31",
"4*31=124",
"124-88=36"
] | Current State: 36:[50, 88, 81, 4], Operations: []
Exploring Operation: 81-50=31, Resulting Numbers: [88, 4, 31]
Generated Node #2: [88, 4, 31] from Operation: 81-50=31
Current State: 36:[88, 4, 31], Operations: ['81-50=31']
Exploring Operation: 4*31=124, Resulting Numbers: [88, 124]
Generated Node #3: [88, 124] from Operation: 4*31=124
Current State: 36:[88, 124], Operations: ['81-50=31', '4*31=124']
Exploring Operation: 124-88=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
71,
54,
24,
6
] | 68 | [
"71-54=17",
"24/6=4",
"17*4=68"
] | Current State: 68:[71, 54, 24, 6], Operations: []
Exploring Operation: 71-54=17, Resulting Numbers: [24, 6, 17]
Generated Node #2: [24, 6, 17] from Operation: 71-54=17
Current State: 68:[24, 6, 17], Operations: ['71-54=17']
Exploring Operation: 24/6=4, Resulting Numbers: [17, 4]
Generated Node #3: [17, 4] from Operation: 24/6=4
Current State: 68:[17, 4], Operations: ['71-54=17', '24/6=4']
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
25,
2,
86,
72
] | 33 | [
"25+86=111",
"2*72=144",
"144-111=33"
] | Current State: 33:[25, 2, 86, 72], Operations: []
Exploring Operation: 25+86=111, Resulting Numbers: [2, 72, 111]
Generated Node #2: [2, 72, 111] from Operation: 25+86=111
Current State: 33:[2, 72, 111], Operations: ['25+86=111']
Exploring Operation: 2*72=144, Resulting Numbers: [111, 144]
Generated Node #3: [111, 144] from Operation: 2*72=144
Current State: 33:[111, 144], Operations: ['25+86=111', '2*72=144']
Exploring Operation: 144-111=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
69,
71,
54,
73
] | 38 | [
"71-69=2",
"73-54=19",
"2*19=38"
] | Current State: 38:[69, 71, 54, 73], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [54, 73, 2]
Generated Node #2: [54, 73, 2] from Operation: 71-69=2
Current State: 38:[54, 73, 2], Operations: ['71-69=2']
Exploring Operation: 73-54=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 73-54=19
Current State: 38:[2, 19], Operations: ['71-69=2', '73-54=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
34,
34,
84,
44
] | 84 | [
"34-34=0",
"44*0=0",
"84+0=84"
] | Current State: 84:[34, 34, 84, 44], Operations: []
Exploring Operation: 34-34=0, Resulting Numbers: [84, 44, 0]
Generated Node #2: [84, 44, 0] from Operation: 34-34=0
Current State: 84:[84, 44, 0], Operations: ['34-34=0']
Exploring Operation: 44*0=0, Resulting Numbers: [84, 0]
Generated Node #3: [84, 0] from Operation: 44*0=0
Current State: 84:[84, 0], Operations: ['34-34=0', '44*0=0']
Exploring Operation: 84+0=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
57,
80,
96,
1
] | 72 | [
"80-57=23",
"96-1=95",
"95-23=72"
] | Current State: 72:[57, 80, 96, 1], Operations: []
Exploring Operation: 80-57=23, Resulting Numbers: [96, 1, 23]
Generated Node #2: [96, 1, 23] from Operation: 80-57=23
Current State: 72:[96, 1, 23], Operations: ['80-57=23']
Exploring Operation: 96-1=95, Resulting Numbers: [23, 95]
Generated Node #3: [23, 95] from Operation: 96-1=95
Current State: 72:[23, 95], Operations: ['80-57=23', '96-1=95']
Exploring Operation: 95-23=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
3,
6,
70,
66
] | 92 | [
"6-3=3",
"66/3=22",
"70+22=92"
] | Current State: 92:[3, 6, 70, 66], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [70, 66, 3]
Generated Node #2: [70, 66, 3] from Operation: 6-3=3
Current State: 92:[70, 66, 3], Operations: ['6-3=3']
Exploring Operation: 66/3=22, Resulting Numbers: [70, 22]
Generated Node #3: [70, 22] from Operation: 66/3=22
Current State: 92:[70, 22], Operations: ['6-3=3', '66/3=22']
Exploring Operation: 70+22=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
85,
19,
24,
57
] | 77 | [
"19*24=456",
"456/57=8",
"85-8=77"
] | Current State: 77:[85, 19, 24, 57], Operations: []
Exploring Operation: 19*24=456, Resulting Numbers: [85, 57, 456]
Generated Node #2: [85, 57, 456] from Operation: 19*24=456
Current State: 77:[85, 57, 456], Operations: ['19*24=456']
Exploring Operation: 456/57=8, Resulting Numbers: [85, 8]
Generated Node #3: [85, 8] from Operation: 456/57=8
Current State: 77:[85, 8], Operations: ['19*24=456', '456/57=8']
Exploring Operation: 85-8=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
26,
51,
98,
49
] | 38 | [
"26*49=1274",
"1274/98=13",
"51-13=38"
] | Current State: 38:[26, 51, 98, 49], Operations: []
Exploring Operation: 26*49=1274, Resulting Numbers: [51, 98, 1274]
Generated Node #2: [51, 98, 1274] from Operation: 26*49=1274
Current State: 38:[51, 98, 1274], Operations: ['26*49=1274']
Exploring Operation: 1274/98=13, Resulting Numbers: [51, 13]
Generated Node #3: [51, 13] from Operation: 1274/98=13
Current State: 38:[51, 13], Operations: ['26*49=1274', '1274/98=13']
Exploring Operation: 51-13=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
2,
84,
41,
16
] | 35 | [
"16-2=14",
"84/14=6",
"41-6=35"
] | Current State: 35:[2, 84, 41, 16], Operations: []
Exploring Operation: 16-2=14, Resulting Numbers: [84, 41, 14]
Generated Node #2: [84, 41, 14] from Operation: 16-2=14
Current State: 35:[84, 41, 14], Operations: ['16-2=14']
Exploring Operation: 84/14=6, Resulting Numbers: [41, 6]
Generated Node #3: [41, 6] from Operation: 84/14=6
Current State: 35:[41, 6], Operations: ['16-2=14', '84/14=6']
Exploring Operation: 41-6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
76,
42,
9,
9
] | 34 | [
"76-42=34",
"9-9=0",
"34+0=34"
] | Current State: 34:[76, 42, 9, 9], Operations: []
Exploring Operation: 76-42=34, Resulting Numbers: [9, 9, 34]
Generated Node #2: [9, 9, 34] from Operation: 76-42=34
Current State: 34:[9, 9, 34], Operations: ['76-42=34']
Exploring Operation: 9-9=0, Resulting Numbers: [34, 0]
Generated Node #3: [34, 0] from Operation: 9-9=0
Current State: 34:[34, 0], Operations: ['76-42=34', '9-9=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
72,
71,
3,
50
] | 79 | [
"71-50=21",
"21/3=7",
"72+7=79"
] | Current State: 79:[72, 71, 3, 50], Operations: []
Exploring Operation: 71-50=21, Resulting Numbers: [72, 3, 21]
Generated Node #2: [72, 3, 21] from Operation: 71-50=21
Current State: 79:[72, 3, 21], Operations: ['71-50=21']
Exploring Operation: 21/3=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 21/3=7
Current State: 79:[72, 7], Operations: ['71-50=21', '21/3=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
25,
21,
14,
91
] | 81 | [
"25-21=4",
"91-14=77",
"4+77=81"
] | Current State: 81:[25, 21, 14, 91], Operations: []
Exploring Operation: 25-21=4, Resulting Numbers: [14, 91, 4]
Generated Node #2: [14, 91, 4] from Operation: 25-21=4
Current State: 81:[14, 91, 4], Operations: ['25-21=4']
Exploring Operation: 91-14=77, Resulting Numbers: [4, 77]
Generated Node #3: [4, 77] from Operation: 91-14=77
Current State: 81:[4, 77], Operations: ['25-21=4', '91-14=77']
Exploring Operation: 4+77=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
57,
33,
65,
62
] | 46 | [
"62-57=5",
"65/5=13",
"33+13=46"
] | Current State: 46:[57, 33, 65, 62], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [33, 65, 5]
Generated Node #2: [33, 65, 5] from Operation: 62-57=5
Current State: 46:[33, 65, 5], Operations: ['62-57=5']
Exploring Operation: 65/5=13, Resulting Numbers: [33, 13]
Generated Node #3: [33, 13] from Operation: 65/5=13
Current State: 46:[33, 13], Operations: ['62-57=5', '65/5=13']
Exploring Operation: 33+13=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
14,
45,
84,
11
] | 50 | [
"84/14=6",
"45+11=56",
"56-6=50"
] | Current State: 50:[14, 45, 84, 11], Operations: []
Exploring Operation: 84/14=6, Resulting Numbers: [45, 11, 6]
Generated Node #2: [45, 11, 6] from Operation: 84/14=6
Current State: 50:[45, 11, 6], Operations: ['84/14=6']
Exploring Operation: 45+11=56, Resulting Numbers: [6, 56]
Generated Node #3: [6, 56] from Operation: 45+11=56
Current State: 50:[6, 56], Operations: ['84/14=6', '45+11=56']
Exploring Operation: 56-6=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
6,
21,
30,
55
] | 24 | [
"21+30=51",
"55-51=4",
"6*4=24"
] | Current State: 24:[6, 21, 30, 55], Operations: []
Exploring Operation: 21+30=51, Resulting Numbers: [6, 55, 51]
Generated Node #2: [6, 55, 51] from Operation: 21+30=51
Current State: 24:[6, 55, 51], Operations: ['21+30=51']
Exploring Operation: 55-51=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 55-51=4
Current State: 24:[6, 4], Operations: ['21+30=51', '55-51=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
90,
80,
50,
9
] | 45 | [
"90-80=10",
"50*9=450",
"450/10=45"
] | Current State: 45:[90, 80, 50, 9], Operations: []
Exploring Operation: 90-80=10, Resulting Numbers: [50, 9, 10]
Generated Node #2: [50, 9, 10] from Operation: 90-80=10
Current State: 45:[50, 9, 10], Operations: ['90-80=10']
Exploring Operation: 50*9=450, Resulting Numbers: [10, 450]
Generated Node #3: [10, 450] from Operation: 50*9=450
Current State: 45:[10, 450], Operations: ['90-80=10', '50*9=450']
Exploring Operation: 450/10=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
5,
50,
50,
24
] | 84 | [
"50/5=10",
"50+24=74",
"10+74=84"
] | Current State: 84:[5, 50, 50, 24], Operations: []
Exploring Operation: 50/5=10, Resulting Numbers: [24, 10]
Generated Node #2: [24, 10] from Operation: 50/5=10
Current State: 84:[24, 10], Operations: ['50/5=10']
Exploring Operation: 50+24=74, Resulting Numbers: [10, 74]
Generated Node #3: [10, 74] from Operation: 50+24=74
Current State: 84:[10, 74], Operations: ['50/5=10', '50+24=74']
Exploring Operation: 10+74=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
88,
18,
2,
15
] | 94 | [
"88*2=176",
"18*15=270",
"270-176=94"
] | Current State: 94:[88, 18, 2, 15], Operations: []
Exploring Operation: 88*2=176, Resulting Numbers: [18, 15, 176]
Generated Node #2: [18, 15, 176] from Operation: 88*2=176
Current State: 94:[18, 15, 176], Operations: ['88*2=176']
Exploring Operation: 18*15=270, Resulting Numbers: [176, 270]
Generated Node #3: [176, 270] from Operation: 18*15=270
Current State: 94:[176, 270], Operations: ['88*2=176', '18*15=270']
Exploring Operation: 270-176=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
59,
74,
43
] | 62 | [
"59+74=133",
"133/7=19",
"43+19=62"
] | Current State: 62:[7, 59, 74, 43], Operations: []
Exploring Operation: 59+74=133, Resulting Numbers: [7, 43, 133]
Generated Node #2: [7, 43, 133] from Operation: 59+74=133
Current State: 62:[7, 43, 133], Operations: ['59+74=133']
Exploring Operation: 133/7=19, Resulting Numbers: [43, 19]
Generated Node #3: [43, 19] from Operation: 133/7=19
Current State: 62:[43, 19], Operations: ['59+74=133', '133/7=19']
Exploring Operation: 43+19=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
19,
25,
41,
30
] | 23 | [
"19+41=60",
"60/30=2",
"25-2=23"
] | Current State: 23:[19, 25, 41, 30], Operations: []
Exploring Operation: 19+41=60, Resulting Numbers: [25, 30, 60]
Generated Node #2: [25, 30, 60] from Operation: 19+41=60
Current State: 23:[25, 30, 60], Operations: ['19+41=60']
Exploring Operation: 60/30=2, Resulting Numbers: [25, 2]
Generated Node #3: [25, 2] from Operation: 60/30=2
Current State: 23:[25, 2], Operations: ['19+41=60', '60/30=2']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
25,
87,
19,
45
] | 22 | [
"25-19=6",
"87+45=132",
"132/6=22"
] | Current State: 22:[25, 87, 19, 45], Operations: []
Exploring Operation: 25-19=6, Resulting Numbers: [87, 45, 6]
Generated Node #2: [87, 45, 6] from Operation: 25-19=6
Current State: 22:[87, 45, 6], Operations: ['25-19=6']
Exploring Operation: 87+45=132, Resulting Numbers: [6, 132]
Generated Node #3: [6, 132] from Operation: 87+45=132
Current State: 22:[6, 132], Operations: ['25-19=6', '87+45=132']
Exploring Operation: 132/6=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
96,
80,
49
] | 11 | [
"96-54=42",
"80-49=31",
"42-31=11"
] | Current State: 11:[54, 96, 80, 49], Operations: []
Exploring Operation: 96-54=42, Resulting Numbers: [80, 49, 42]
Generated Node #2: [80, 49, 42] from Operation: 96-54=42
Current State: 11:[80, 49, 42], Operations: ['96-54=42']
Exploring Operation: 80-49=31, Resulting Numbers: [42, 31]
Generated Node #3: [42, 31] from Operation: 80-49=31
Current State: 11:[42, 31], Operations: ['96-54=42', '80-49=31']
Exploring Operation: 42-31=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
94,
23,
8,
1
] | 64 | [
"94-23=71",
"8-1=7",
"71-7=64"
] | Current State: 64:[94, 23, 8, 1], Operations: []
Exploring Operation: 94-23=71, Resulting Numbers: [8, 1, 71]
Generated Node #2: [8, 1, 71] from Operation: 94-23=71
Current State: 64:[8, 1, 71], Operations: ['94-23=71']
Exploring Operation: 8-1=7, Resulting Numbers: [71, 7]
Generated Node #3: [71, 7] from Operation: 8-1=7
Current State: 64:[71, 7], Operations: ['94-23=71', '8-1=7']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
44,
55,
52,
43
] | 76 | [
"52+43=95",
"44*95=4180",
"4180/55=76"
] | Current State: 76:[44, 55, 52, 43], Operations: []
Exploring Operation: 52+43=95, Resulting Numbers: [44, 55, 95]
Generated Node #2: [44, 55, 95] from Operation: 52+43=95
Current State: 76:[44, 55, 95], Operations: ['52+43=95']
Exploring Operation: 44*95=4180, Resulting Numbers: [55, 4180]
Generated Node #3: [55, 4180] from Operation: 44*95=4180
Current State: 76:[55, 4180], Operations: ['52+43=95', '44*95=4180']
Exploring Operation: 4180/55=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
65,
36,
38,
91
] | 52 | [
"91-65=26",
"38-36=2",
"26*2=52"
] | Current State: 52:[65, 36, 38, 91], Operations: []
Exploring Operation: 91-65=26, Resulting Numbers: [36, 38, 26]
Generated Node #2: [36, 38, 26] from Operation: 91-65=26
Current State: 52:[36, 38, 26], Operations: ['91-65=26']
Exploring Operation: 38-36=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 38-36=2
Current State: 52:[26, 2], Operations: ['91-65=26', '38-36=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
48,
63,
6,
99
] | 66 | [
"48-6=42",
"99*42=4158",
"4158/63=66"
] | Current State: 66:[48, 63, 6, 99], Operations: []
Exploring Operation: 48-6=42, Resulting Numbers: [63, 99, 42]
Generated Node #2: [63, 99, 42] from Operation: 48-6=42
Current State: 66:[63, 99, 42], Operations: ['48-6=42']
Exploring Operation: 99*42=4158, Resulting Numbers: [63, 4158]
Generated Node #3: [63, 4158] from Operation: 99*42=4158
Current State: 66:[63, 4158], Operations: ['48-6=42', '99*42=4158']
Exploring Operation: 4158/63=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
10,
17,
35
] | 38 | [
"24-10=14",
"17+35=52",
"52-14=38"
] | Current State: 38:[24, 10, 17, 35], Operations: []
Exploring Operation: 24-10=14, Resulting Numbers: [17, 35, 14]
Generated Node #2: [17, 35, 14] from Operation: 24-10=14
Current State: 38:[17, 35, 14], Operations: ['24-10=14']
Exploring Operation: 17+35=52, Resulting Numbers: [14, 52]
Generated Node #3: [14, 52] from Operation: 17+35=52
Current State: 38:[14, 52], Operations: ['24-10=14', '17+35=52']
Exploring Operation: 52-14=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
9,
11,
83,
50
] | 31 | [
"11-9=2",
"83-50=33",
"33-2=31"
] | Current State: 31:[9, 11, 83, 50], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [83, 50, 2]
Generated Node #2: [83, 50, 2] from Operation: 11-9=2
Current State: 31:[83, 50, 2], Operations: ['11-9=2']
Exploring Operation: 83-50=33, Resulting Numbers: [2, 33]
Generated Node #3: [2, 33] from Operation: 83-50=33
Current State: 31:[2, 33], Operations: ['11-9=2', '83-50=33']
Exploring Operation: 33-2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
61,
71,
29,
65
] | 15 | [
"61+29=90",
"71-65=6",
"90/6=15"
] | Current State: 15:[61, 71, 29, 65], Operations: []
Exploring Operation: 61+29=90, Resulting Numbers: [71, 65, 90]
Generated Node #2: [71, 65, 90] from Operation: 61+29=90
Current State: 15:[71, 65, 90], Operations: ['61+29=90']
Exploring Operation: 71-65=6, Resulting Numbers: [90, 6]
Generated Node #3: [90, 6] from Operation: 71-65=6
Current State: 15:[90, 6], Operations: ['61+29=90', '71-65=6']
Exploring Operation: 90/6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
31,
70,
25,
30
] | 85 | [
"30-25=5",
"31*5=155",
"155-70=85"
] | Current State: 85:[31, 70, 25, 30], Operations: []
Exploring Operation: 30-25=5, Resulting Numbers: [31, 70, 5]
Generated Node #2: [31, 70, 5] from Operation: 30-25=5
Current State: 85:[31, 70, 5], Operations: ['30-25=5']
Exploring Operation: 31*5=155, Resulting Numbers: [70, 155]
Generated Node #3: [70, 155] from Operation: 31*5=155
Current State: 85:[70, 155], Operations: ['30-25=5', '31*5=155']
Exploring Operation: 155-70=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
54,
69,
1,
98
] | 25 | [
"54+69=123",
"1*98=98",
"123-98=25"
] | Current State: 25:[54, 69, 1, 98], Operations: []
Exploring Operation: 54+69=123, Resulting Numbers: [1, 98, 123]
Generated Node #2: [1, 98, 123] from Operation: 54+69=123
Current State: 25:[1, 98, 123], Operations: ['54+69=123']
Exploring Operation: 1*98=98, Resulting Numbers: [123, 98]
Generated Node #3: [123, 98] from Operation: 1*98=98
Current State: 25:[123, 98], Operations: ['54+69=123', '1*98=98']
Exploring Operation: 123-98=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
16,
51,
34,
47
] | 71 | [
"16*51=816",
"816/34=24",
"47+24=71"
] | Current State: 71:[16, 51, 34, 47], Operations: []
Exploring Operation: 16*51=816, Resulting Numbers: [34, 47, 816]
Generated Node #2: [34, 47, 816] from Operation: 16*51=816
Current State: 71:[34, 47, 816], Operations: ['16*51=816']
Exploring Operation: 816/34=24, Resulting Numbers: [47, 24]
Generated Node #3: [47, 24] from Operation: 816/34=24
Current State: 71:[47, 24], Operations: ['16*51=816', '816/34=24']
Exploring Operation: 47+24=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
84,
38,
97,
59
] | 83 | [
"97-38=59",
"59/59=1",
"84-1=83"
] | Current State: 83:[84, 38, 97, 59], Operations: []
Exploring Operation: 97-38=59, Resulting Numbers: [84, 59, 59]
Generated Node #2: [84, 59, 59] from Operation: 97-38=59
Current State: 83:[84, 59, 59], Operations: ['97-38=59']
Exploring Operation: 59/59=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 59/59=1
Current State: 83:[84, 1], Operations: ['97-38=59', '59/59=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
8,
97,
12,
33
] | 44 | [
"97-8=89",
"12+33=45",
"89-45=44"
] | Current State: 44:[8, 97, 12, 33], Operations: []
Exploring Operation: 97-8=89, Resulting Numbers: [12, 33, 89]
Generated Node #2: [12, 33, 89] from Operation: 97-8=89
Current State: 44:[12, 33, 89], Operations: ['97-8=89']
Exploring Operation: 12+33=45, Resulting Numbers: [89, 45]
Generated Node #3: [89, 45] from Operation: 12+33=45
Current State: 44:[89, 45], Operations: ['97-8=89', '12+33=45']
Exploring Operation: 89-45=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
98,
91,
72,
39
] | 70 | [
"91*72=6552",
"6552/39=168",
"168-98=70"
] | Current State: 70:[98, 91, 72, 39], Operations: []
Exploring Operation: 91*72=6552, Resulting Numbers: [98, 39, 6552]
Generated Node #2: [98, 39, 6552] from Operation: 91*72=6552
Current State: 70:[98, 39, 6552], Operations: ['91*72=6552']
Exploring Operation: 6552/39=168, Resulting Numbers: [98, 168]
Generated Node #3: [98, 168] from Operation: 6552/39=168
Current State: 70:[98, 168], Operations: ['91*72=6552', '6552/39=168']
Exploring Operation: 168-98=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
63,
91,
44,
50
] | 34 | [
"91-63=28",
"50-44=6",
"28+6=34"
] | Current State: 34:[63, 91, 44, 50], Operations: []
Exploring Operation: 91-63=28, Resulting Numbers: [44, 50, 28]
Generated Node #2: [44, 50, 28] from Operation: 91-63=28
Current State: 34:[44, 50, 28], Operations: ['91-63=28']
Exploring Operation: 50-44=6, Resulting Numbers: [28, 6]
Generated Node #3: [28, 6] from Operation: 50-44=6
Current State: 34:[28, 6], Operations: ['91-63=28', '50-44=6']
Exploring Operation: 28+6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
27,
84,
1,
40
] | 71 | [
"27+84=111",
"1*40=40",
"111-40=71"
] | Current State: 71:[27, 84, 1, 40], Operations: []
Exploring Operation: 27+84=111, Resulting Numbers: [1, 40, 111]
Generated Node #2: [1, 40, 111] from Operation: 27+84=111
Current State: 71:[1, 40, 111], Operations: ['27+84=111']
Exploring Operation: 1*40=40, Resulting Numbers: [111, 40]
Generated Node #3: [111, 40] from Operation: 1*40=40
Current State: 71:[111, 40], Operations: ['27+84=111', '1*40=40']
Exploring Operation: 111-40=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
11,
2,
67,
16
] | 47 | [
"11+67=78",
"16+78=94",
"94/2=47"
] | Current State: 47:[11, 2, 67, 16], Operations: []
Exploring Operation: 11+67=78, Resulting Numbers: [2, 16, 78]
Generated Node #2: [2, 16, 78] from Operation: 11+67=78
Current State: 47:[2, 16, 78], Operations: ['11+67=78']
Exploring Operation: 16+78=94, Resulting Numbers: [2, 94]
Generated Node #3: [2, 94] from Operation: 16+78=94
Current State: 47:[2, 94], Operations: ['11+67=78', '16+78=94']
Exploring Operation: 94/2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
1,
3,
57
] | 16 | [
"45-1=44",
"3+57=60",
"60-44=16"
] | Current State: 16:[45, 1, 3, 57], Operations: []
Exploring Operation: 45-1=44, Resulting Numbers: [3, 57, 44]
Generated Node #2: [3, 57, 44] from Operation: 45-1=44
Current State: 16:[3, 57, 44], Operations: ['45-1=44']
Exploring Operation: 3+57=60, Resulting Numbers: [44, 60]
Generated Node #3: [44, 60] from Operation: 3+57=60
Current State: 16:[44, 60], Operations: ['45-1=44', '3+57=60']
Exploring Operation: 60-44=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
17,
43,
12,
29
] | 77 | [
"17+43=60",
"29-12=17",
"60+17=77"
] | Current State: 77:[17, 43, 12, 29], Operations: []
Exploring Operation: 17+43=60, Resulting Numbers: [12, 29, 60]
Generated Node #2: [12, 29, 60] from Operation: 17+43=60
Current State: 77:[12, 29, 60], Operations: ['17+43=60']
Exploring Operation: 29-12=17, Resulting Numbers: [60, 17]
Generated Node #3: [60, 17] from Operation: 29-12=17
Current State: 77:[60, 17], Operations: ['17+43=60', '29-12=17']
Exploring Operation: 60+17=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
29,
58,
87,
37
] | 99 | [
"29+37=66",
"87*66=5742",
"5742/58=99"
] | Current State: 99:[29, 58, 87, 37], Operations: []
Exploring Operation: 29+37=66, Resulting Numbers: [58, 87, 66]
Generated Node #2: [58, 87, 66] from Operation: 29+37=66
Current State: 99:[58, 87, 66], Operations: ['29+37=66']
Exploring Operation: 87*66=5742, Resulting Numbers: [58, 5742]
Generated Node #3: [58, 5742] from Operation: 87*66=5742
Current State: 99:[58, 5742], Operations: ['29+37=66', '87*66=5742']
Exploring Operation: 5742/58=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
94,
44,
10,
8
] | 48 | [
"94-44=50",
"10-8=2",
"50-2=48"
] | Current State: 48:[94, 44, 10, 8], Operations: []
Exploring Operation: 94-44=50, Resulting Numbers: [10, 8, 50]
Generated Node #2: [10, 8, 50] from Operation: 94-44=50
Current State: 48:[10, 8, 50], Operations: ['94-44=50']
Exploring Operation: 10-8=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 10-8=2
Current State: 48:[50, 2], Operations: ['94-44=50', '10-8=2']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
86,
66,
58,
91
] | 40 | [
"91-86=5",
"66-58=8",
"5*8=40"
] | Current State: 40:[86, 66, 58, 91], Operations: []
Exploring Operation: 91-86=5, Resulting Numbers: [66, 58, 5]
Generated Node #2: [66, 58, 5] from Operation: 91-86=5
Current State: 40:[66, 58, 5], Operations: ['91-86=5']
Exploring Operation: 66-58=8, Resulting Numbers: [5, 8]
Generated Node #3: [5, 8] from Operation: 66-58=8
Current State: 40:[5, 8], Operations: ['91-86=5', '66-58=8']
Exploring Operation: 5*8=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
12,
7,
96,
84
] | 57 | [
"7*84=588",
"96+588=684",
"684/12=57"
] | Current State: 57:[12, 7, 96, 84], Operations: []
Exploring Operation: 7*84=588, Resulting Numbers: [12, 96, 588]
Generated Node #2: [12, 96, 588] from Operation: 7*84=588
Current State: 57:[12, 96, 588], Operations: ['7*84=588']
Exploring Operation: 96+588=684, Resulting Numbers: [12, 684]
Generated Node #3: [12, 684] from Operation: 96+588=684
Current State: 57:[12, 684], Operations: ['7*84=588', '96+588=684']
Exploring Operation: 684/12=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
75,
66,
5,
8
] | 73 | [
"75/5=15",
"66-8=58",
"15+58=73"
] | Current State: 73:[75, 66, 5, 8], Operations: []
Exploring Operation: 75/5=15, Resulting Numbers: [66, 8, 15]
Generated Node #2: [66, 8, 15] from Operation: 75/5=15
Current State: 73:[66, 8, 15], Operations: ['75/5=15']
Exploring Operation: 66-8=58, Resulting Numbers: [15, 58]
Generated Node #3: [15, 58] from Operation: 66-8=58
Current State: 73:[15, 58], Operations: ['75/5=15', '66-8=58']
Exploring Operation: 15+58=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
92,
62,
2,
20
] | 10 | [
"92-62=30",
"2*20=40",
"40-30=10"
] | Current State: 10:[92, 62, 2, 20], Operations: []
Exploring Operation: 92-62=30, Resulting Numbers: [2, 20, 30]
Generated Node #2: [2, 20, 30] from Operation: 92-62=30
Current State: 10:[2, 20, 30], Operations: ['92-62=30']
Exploring Operation: 2*20=40, Resulting Numbers: [30, 40]
Generated Node #3: [30, 40] from Operation: 2*20=40
Current State: 10:[30, 40], Operations: ['92-62=30', '2*20=40']
Exploring Operation: 40-30=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
76,
70,
47,
72
] | 50 | [
"76*47=3572",
"3572-72=3500",
"3500/70=50"
] | Current State: 50:[76, 70, 47, 72], Operations: []
Exploring Operation: 76*47=3572, Resulting Numbers: [70, 72, 3572]
Generated Node #2: [70, 72, 3572] from Operation: 76*47=3572
Current State: 50:[70, 72, 3572], Operations: ['76*47=3572']
Exploring Operation: 3572-72=3500, Resulting Numbers: [70, 3500]
Generated Node #3: [70, 3500] from Operation: 3572-72=3500
Current State: 50:[70, 3500], Operations: ['76*47=3572', '3572-72=3500']
Exploring Operation: 3500/70=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
87,
40,
54,
48
] | 100 | [
"87+48=135",
"40*135=5400",
"5400/54=100"
] | Current State: 100:[87, 40, 54, 48], Operations: []
Exploring Operation: 87+48=135, Resulting Numbers: [40, 54, 135]
Generated Node #2: [40, 54, 135] from Operation: 87+48=135
Current State: 100:[40, 54, 135], Operations: ['87+48=135']
Exploring Operation: 40*135=5400, Resulting Numbers: [54, 5400]
Generated Node #3: [54, 5400] from Operation: 40*135=5400
Current State: 100:[54, 5400], Operations: ['87+48=135', '40*135=5400']
Exploring Operation: 5400/54=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
26,
52,
42,
46
] | 19 | [
"52/26=2",
"46/2=23",
"42-23=19"
] | Current State: 19:[26, 52, 42, 46], Operations: []
Exploring Operation: 52/26=2, Resulting Numbers: [42, 46, 2]
Generated Node #2: [42, 46, 2] from Operation: 52/26=2
Current State: 19:[42, 46, 2], Operations: ['52/26=2']
Exploring Operation: 46/2=23, Resulting Numbers: [42, 23]
Generated Node #3: [42, 23] from Operation: 46/2=23
Current State: 19:[42, 23], Operations: ['52/26=2', '46/2=23']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
67,
35,
2,
84
] | 100 | [
"67-35=32",
"32/2=16",
"84+16=100"
] | Current State: 100:[67, 35, 2, 84], Operations: []
Exploring Operation: 67-35=32, Resulting Numbers: [2, 84, 32]
Generated Node #2: [2, 84, 32] from Operation: 67-35=32
Current State: 100:[2, 84, 32], Operations: ['67-35=32']
Exploring Operation: 32/2=16, Resulting Numbers: [84, 16]
Generated Node #3: [84, 16] from Operation: 32/2=16
Current State: 100:[84, 16], Operations: ['67-35=32', '32/2=16']
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
57,
13,
70,
75
] | 94 | [
"70-57=13",
"13*13=169",
"169-75=94"
] | Current State: 94:[57, 13, 70, 75], Operations: []
Exploring Operation: 70-57=13, Resulting Numbers: [13, 75, 13]
Generated Node #2: [13, 75, 13] from Operation: 70-57=13
Current State: 94:[13, 75, 13], Operations: ['70-57=13']
Exploring Operation: 13*13=169, Resulting Numbers: [75, 169]
Generated Node #3: [75, 169] from Operation: 13*13=169
Current State: 94:[75, 169], Operations: ['70-57=13', '13*13=169']
Exploring Operation: 169-75=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
92,
79,
76
] | 49 | [
"92-40=52",
"79-76=3",
"52-3=49"
] | Current State: 49:[40, 92, 79, 76], Operations: []
Exploring Operation: 92-40=52, Resulting Numbers: [79, 76, 52]
Generated Node #2: [79, 76, 52] from Operation: 92-40=52
Current State: 49:[79, 76, 52], Operations: ['92-40=52']
Exploring Operation: 79-76=3, Resulting Numbers: [52, 3]
Generated Node #3: [52, 3] from Operation: 79-76=3
Current State: 49:[52, 3], Operations: ['92-40=52', '79-76=3']
Exploring Operation: 52-3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
23,
50,
28,
29
] | 29 | [
"50-23=27",
"28-27=1",
"29*1=29"
] | Current State: 29:[23, 50, 28, 29], Operations: []
Exploring Operation: 50-23=27, Resulting Numbers: [28, 29, 27]
Generated Node #2: [28, 29, 27] from Operation: 50-23=27
Current State: 29:[28, 29, 27], Operations: ['50-23=27']
Exploring Operation: 28-27=1, Resulting Numbers: [29, 1]
Generated Node #3: [29, 1] from Operation: 28-27=1
Current State: 29:[29, 1], Operations: ['50-23=27', '28-27=1']
Exploring Operation: 29*1=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
83,
24,
26,
60
] | 27 | [
"83-24=59",
"26+60=86",
"86-59=27"
] | Current State: 27:[83, 24, 26, 60], Operations: []
Exploring Operation: 83-24=59, Resulting Numbers: [26, 60, 59]
Generated Node #2: [26, 60, 59] from Operation: 83-24=59
Current State: 27:[26, 60, 59], Operations: ['83-24=59']
Exploring Operation: 26+60=86, Resulting Numbers: [59, 86]
Generated Node #3: [59, 86] from Operation: 26+60=86
Current State: 27:[59, 86], Operations: ['83-24=59', '26+60=86']
Exploring Operation: 86-59=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
55,
18,
96,
74
] | 51 | [
"55+18=73",
"96-74=22",
"73-22=51"
] | Current State: 51:[55, 18, 96, 74], Operations: []
Exploring Operation: 55+18=73, Resulting Numbers: [96, 74, 73]
Generated Node #2: [96, 74, 73] from Operation: 55+18=73
Current State: 51:[96, 74, 73], Operations: ['55+18=73']
Exploring Operation: 96-74=22, Resulting Numbers: [73, 22]
Generated Node #3: [73, 22] from Operation: 96-74=22
Current State: 51:[73, 22], Operations: ['55+18=73', '96-74=22']
Exploring Operation: 73-22=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
15,
33,
18
] | 72 | [
"33-15=18",
"18+18=36",
"2*36=72"
] | Current State: 72:[2, 15, 33, 18], Operations: []
Exploring Operation: 33-15=18, Resulting Numbers: [2, 18, 18]
Generated Node #2: [2, 18, 18] from Operation: 33-15=18
Current State: 72:[2, 18, 18], Operations: ['33-15=18']
Exploring Operation: 18+18=36, Resulting Numbers: [2, 36]
Generated Node #3: [2, 36] from Operation: 18+18=36
Current State: 72:[2, 36], Operations: ['33-15=18', '18+18=36']
Exploring Operation: 2*36=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
59,
8,
42,
39
] | 14 | [
"59+8=67",
"42+39=81",
"81-67=14"
] | Current State: 14:[59, 8, 42, 39], Operations: []
Exploring Operation: 59+8=67, Resulting Numbers: [42, 39, 67]
Generated Node #2: [42, 39, 67] from Operation: 59+8=67
Current State: 14:[42, 39, 67], Operations: ['59+8=67']
Exploring Operation: 42+39=81, Resulting Numbers: [67, 81]
Generated Node #3: [67, 81] from Operation: 42+39=81
Current State: 14:[67, 81], Operations: ['59+8=67', '42+39=81']
Exploring Operation: 81-67=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
97,
45,
97,
97
] | 45 | [
"97-97=0",
"97*0=0",
"45+0=45"
] | Current State: 45:[97, 45, 97, 97], Operations: []
Exploring Operation: 97-97=0, Resulting Numbers: [45, 0]
Generated Node #2: [45, 0] from Operation: 97-97=0
Current State: 45:[45, 0], Operations: ['97-97=0']
Exploring Operation: 97*0=0, Resulting Numbers: [45, 0]
Generated Node #3: [45, 0] from Operation: 97*0=0
Current State: 45:[45, 0], Operations: ['97-97=0', '97*0=0']
Exploring Operation: 45+0=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
72,
2,
98,
14
] | 67 | [
"72+2=74",
"98/14=7",
"74-7=67"
] | Current State: 67:[72, 2, 98, 14], Operations: []
Exploring Operation: 72+2=74, Resulting Numbers: [98, 14, 74]
Generated Node #2: [98, 14, 74] from Operation: 72+2=74
Current State: 67:[98, 14, 74], Operations: ['72+2=74']
Exploring Operation: 98/14=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 98/14=7
Current State: 67:[74, 7], Operations: ['72+2=74', '98/14=7']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
44,
66,
18,
42
] | 42 | [
"44-42=2",
"66+18=84",
"84/2=42"
] | Current State: 42:[44, 66, 18, 42], Operations: []
Exploring Operation: 44-42=2, Resulting Numbers: [66, 18, 2]
Generated Node #2: [66, 18, 2] from Operation: 44-42=2
Current State: 42:[66, 18, 2], Operations: ['44-42=2']
Exploring Operation: 66+18=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 66+18=84
Current State: 42:[2, 84], Operations: ['44-42=2', '66+18=84']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
57,
42,
38,
30
] | 63 | [
"42-38=4",
"30*4=120",
"120-57=63"
] | Current State: 63:[57, 42, 38, 30], Operations: []
Exploring Operation: 42-38=4, Resulting Numbers: [57, 30, 4]
Generated Node #2: [57, 30, 4] from Operation: 42-38=4
Current State: 63:[57, 30, 4], Operations: ['42-38=4']
Exploring Operation: 30*4=120, Resulting Numbers: [57, 120]
Generated Node #3: [57, 120] from Operation: 30*4=120
Current State: 63:[57, 120], Operations: ['42-38=4', '30*4=120']
Exploring Operation: 120-57=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
78,
43,
2,
64
] | 56 | [
"78+64=142",
"43*2=86",
"142-86=56"
] | Current State: 56:[78, 43, 2, 64], Operations: []
Exploring Operation: 78+64=142, Resulting Numbers: [43, 2, 142]
Generated Node #2: [43, 2, 142] from Operation: 78+64=142
Current State: 56:[43, 2, 142], Operations: ['78+64=142']
Exploring Operation: 43*2=86, Resulting Numbers: [142, 86]
Generated Node #3: [142, 86] from Operation: 43*2=86
Current State: 56:[142, 86], Operations: ['78+64=142', '43*2=86']
Exploring Operation: 142-86=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
9,
61,
58,
99
] | 11 | [
"61-9=52",
"99-58=41",
"52-41=11"
] | Current State: 11:[9, 61, 58, 99], Operations: []
Exploring Operation: 61-9=52, Resulting Numbers: [58, 99, 52]
Generated Node #2: [58, 99, 52] from Operation: 61-9=52
Current State: 11:[58, 99, 52], Operations: ['61-9=52']
Exploring Operation: 99-58=41, Resulting Numbers: [52, 41]
Generated Node #3: [52, 41] from Operation: 99-58=41
Current State: 11:[52, 41], Operations: ['61-9=52', '99-58=41']
Exploring Operation: 52-41=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
82,
24,
44,
2
] | 28 | [
"82-24=58",
"58-44=14",
"2*14=28"
] | Current State: 28:[82, 24, 44, 2], Operations: []
Exploring Operation: 82-24=58, Resulting Numbers: [44, 2, 58]
Generated Node #2: [44, 2, 58] from Operation: 82-24=58
Current State: 28:[44, 2, 58], Operations: ['82-24=58']
Exploring Operation: 58-44=14, Resulting Numbers: [2, 14]
Generated Node #3: [2, 14] from Operation: 58-44=14
Current State: 28:[2, 14], Operations: ['82-24=58', '58-44=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
29,
44,
15,
97
] | 97 | [
"44-29=15",
"15+97=112",
"112-15=97"
] | Current State: 97:[29, 44, 15, 97], Operations: []
Exploring Operation: 44-29=15, Resulting Numbers: [15, 97, 15]
Generated Node #2: [15, 97, 15] from Operation: 44-29=15
Current State: 97:[15, 97, 15], Operations: ['44-29=15']
Exploring Operation: 15+97=112, Resulting Numbers: [112]
112,97 equal: Goal Reached
Exploring Operation: 112-15=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
48,
13,
44,
96
] | 35 | [
"48*44=2112",
"2112/96=22",
"13+22=35"
] | Current State: 35:[48, 13, 44, 96], Operations: []
Exploring Operation: 48*44=2112, Resulting Numbers: [13, 96, 2112]
Generated Node #2: [13, 96, 2112] from Operation: 48*44=2112
Current State: 35:[13, 96, 2112], Operations: ['48*44=2112']
Exploring Operation: 2112/96=22, Resulting Numbers: [13, 22]
Generated Node #3: [13, 22] from Operation: 2112/96=22
Current State: 35:[13, 22], Operations: ['48*44=2112', '2112/96=22']
Exploring Operation: 13+22=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
96,
90,
78,
34
] | 26 | [
"90-78=12",
"96/12=8",
"34-8=26"
] | Current State: 26:[96, 90, 78, 34], Operations: []
Exploring Operation: 90-78=12, Resulting Numbers: [96, 34, 12]
Generated Node #2: [96, 34, 12] from Operation: 90-78=12
Current State: 26:[96, 34, 12], Operations: ['90-78=12']
Exploring Operation: 96/12=8, Resulting Numbers: [34, 8]
Generated Node #3: [34, 8] from Operation: 96/12=8
Current State: 26:[34, 8], Operations: ['90-78=12', '96/12=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
61,
13,
31,
43
] | 60 | [
"61-13=48",
"43-31=12",
"48+12=60"
] | Current State: 60:[61, 13, 31, 43], Operations: []
Exploring Operation: 61-13=48, Resulting Numbers: [31, 43, 48]
Generated Node #2: [31, 43, 48] from Operation: 61-13=48
Current State: 60:[31, 43, 48], Operations: ['61-13=48']
Exploring Operation: 43-31=12, Resulting Numbers: [48, 12]
Generated Node #3: [48, 12] from Operation: 43-31=12
Current State: 60:[48, 12], Operations: ['61-13=48', '43-31=12']
Exploring Operation: 48+12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
62,
2,
15,
88
] | 21 | [
"62*2=124",
"15+88=103",
"124-103=21"
] | Current State: 21:[62, 2, 15, 88], Operations: []
Exploring Operation: 62*2=124, Resulting Numbers: [15, 88, 124]
Generated Node #2: [15, 88, 124] from Operation: 62*2=124
Current State: 21:[15, 88, 124], Operations: ['62*2=124']
Exploring Operation: 15+88=103, Resulting Numbers: [124, 103]
Generated Node #3: [124, 103] from Operation: 15+88=103
Current State: 21:[124, 103], Operations: ['62*2=124', '15+88=103']
Exploring Operation: 124-103=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
73,
94,
95,
42
] | 93 | [
"94-73=21",
"42/21=2",
"95-2=93"
] | Current State: 93:[73, 94, 95, 42], Operations: []
Exploring Operation: 94-73=21, Resulting Numbers: [95, 42, 21]
Generated Node #2: [95, 42, 21] from Operation: 94-73=21
Current State: 93:[95, 42, 21], Operations: ['94-73=21']
Exploring Operation: 42/21=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 42/21=2
Current State: 93:[95, 2], Operations: ['94-73=21', '42/21=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
70,
84,
86,
34
] | 52 | [
"70+34=104",
"86-84=2",
"104/2=52"
] | Current State: 52:[70, 84, 86, 34], Operations: []
Exploring Operation: 70+34=104, Resulting Numbers: [84, 86, 104]
Generated Node #2: [84, 86, 104] from Operation: 70+34=104
Current State: 52:[84, 86, 104], Operations: ['70+34=104']
Exploring Operation: 86-84=2, Resulting Numbers: [104, 2]
Generated Node #3: [104, 2] from Operation: 86-84=2
Current State: 52:[104, 2], Operations: ['70+34=104', '86-84=2']
Exploring Operation: 104/2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
38,
6,
40,
95
] | 55 | [
"6*95=570",
"570/38=15",
"40+15=55"
] | Current State: 55:[38, 6, 40, 95], Operations: []
Exploring Operation: 6*95=570, Resulting Numbers: [38, 40, 570]
Generated Node #2: [38, 40, 570] from Operation: 6*95=570
Current State: 55:[38, 40, 570], Operations: ['6*95=570']
Exploring Operation: 570/38=15, Resulting Numbers: [40, 15]
Generated Node #3: [40, 15] from Operation: 570/38=15
Current State: 55:[40, 15], Operations: ['6*95=570', '570/38=15']
Exploring Operation: 40+15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
93,
83,
27,
12
] | 11 | [
"83*12=996",
"27+996=1023",
"1023/93=11"
] | Current State: 11:[93, 83, 27, 12], Operations: []
Exploring Operation: 83*12=996, Resulting Numbers: [93, 27, 996]
Generated Node #2: [93, 27, 996] from Operation: 83*12=996
Current State: 11:[93, 27, 996], Operations: ['83*12=996']
Exploring Operation: 27+996=1023, Resulting Numbers: [93, 1023]
Generated Node #3: [93, 1023] from Operation: 27+996=1023
Current State: 11:[93, 1023], Operations: ['83*12=996', '27+996=1023']
Exploring Operation: 1023/93=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
1,
4,
80,
9
] | 30 | [
"1+9=10",
"80/4=20",
"10+20=30"
] | Current State: 30:[1, 4, 80, 9], Operations: []
Exploring Operation: 1+9=10, Resulting Numbers: [4, 80, 10]
Generated Node #2: [4, 80, 10] from Operation: 1+9=10
Current State: 30:[4, 80, 10], Operations: ['1+9=10']
Exploring Operation: 80/4=20, Resulting Numbers: [10, 20]
Generated Node #3: [10, 20] from Operation: 80/4=20
Current State: 30:[10, 20], Operations: ['1+9=10', '80/4=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
79,
37,
17,
17
] | 42 | [
"79-37=42",
"17-17=0",
"42+0=42"
] | Current State: 42:[79, 37, 17, 17], Operations: []
Exploring Operation: 79-37=42, Resulting Numbers: [17, 17, 42]
Generated Node #2: [17, 17, 42] from Operation: 79-37=42
Current State: 42:[17, 17, 42], Operations: ['79-37=42']
Exploring Operation: 17-17=0, Resulting Numbers: [42, 0]
Generated Node #3: [42, 0] from Operation: 17-17=0
Current State: 42:[42, 0], Operations: ['79-37=42', '17-17=0']
Exploring Operation: 42+0=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
42,
21,
90,
18
] | 30 | [
"42-21=21",
"21-18=3",
"90/3=30"
] | Current State: 30:[42, 21, 90, 18], Operations: []
Exploring Operation: 42-21=21, Resulting Numbers: [90, 18, 21]
Generated Node #2: [90, 18, 21] from Operation: 42-21=21
Current State: 30:[90, 18, 21], Operations: ['42-21=21']
Exploring Operation: 21-18=3, Resulting Numbers: [90, 3]
Generated Node #3: [90, 3] from Operation: 21-18=3
Current State: 30:[90, 3], Operations: ['42-21=21', '21-18=3']
Exploring Operation: 90/3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
36,
25,
14,
27
] | 99 | [
"36-27=9",
"25-14=11",
"9*11=99"
] | Current State: 99:[36, 25, 14, 27], Operations: []
Exploring Operation: 36-27=9, Resulting Numbers: [25, 14, 9]
Generated Node #2: [25, 14, 9] from Operation: 36-27=9
Current State: 99:[25, 14, 9], Operations: ['36-27=9']
Exploring Operation: 25-14=11, Resulting Numbers: [9, 11]
Generated Node #3: [9, 11] from Operation: 25-14=11
Current State: 99:[9, 11], Operations: ['36-27=9', '25-14=11']
Exploring Operation: 9*11=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
13,
41,
5,
12
] | 44 | [
"13*41=533",
"533-5=528",
"528/12=44"
] | Current State: 44:[13, 41, 5, 12], Operations: []
Exploring Operation: 13*41=533, Resulting Numbers: [5, 12, 533]
Generated Node #2: [5, 12, 533] from Operation: 13*41=533
Current State: 44:[5, 12, 533], Operations: ['13*41=533']
Exploring Operation: 533-5=528, Resulting Numbers: [12, 528]
Generated Node #3: [12, 528] from Operation: 533-5=528
Current State: 44:[12, 528], Operations: ['13*41=533', '533-5=528']
Exploring Operation: 528/12=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
75,
54,
23,
28
] | 56 | [
"75-54=21",
"23-21=2",
"28*2=56"
] | Current State: 56:[75, 54, 23, 28], Operations: []
Exploring Operation: 75-54=21, Resulting Numbers: [23, 28, 21]
Generated Node #2: [23, 28, 21] from Operation: 75-54=21
Current State: 56:[23, 28, 21], Operations: ['75-54=21']
Exploring Operation: 23-21=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 23-21=2
Current State: 56:[28, 2], Operations: ['75-54=21', '23-21=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
53,
56,
63,
3
] | 26 | [
"63-53=10",
"3*10=30",
"56-30=26"
] | Current State: 26:[53, 56, 63, 3], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [56, 3, 10]
Generated Node #2: [56, 3, 10] from Operation: 63-53=10
Current State: 26:[56, 3, 10], Operations: ['63-53=10']
Exploring Operation: 3*10=30, Resulting Numbers: [56, 30]
Generated Node #3: [56, 30] from Operation: 3*10=30
Current State: 26:[56, 30], Operations: ['63-53=10', '3*10=30']
Exploring Operation: 56-30=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
87,
87,
87,
9
] | 11 | [
"87+87=174",
"174/87=2",
"9+2=11"
] | Current State: 11:[87, 87, 87, 9], Operations: []
Exploring Operation: 87+87=174, Resulting Numbers: [9, 174]
Generated Node #2: [9, 174] from Operation: 87+87=174
Current State: 11:[9, 174], Operations: ['87+87=174']
Exploring Operation: 174/87=2, Resulting Numbers: [9, 2]
Generated Node #3: [9, 2] from Operation: 174/87=2
Current State: 11:[9, 2], Operations: ['87+87=174', '174/87=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
77,
70,
22,
14
] | 66 | [
"22*14=308",
"308/77=4",
"70-4=66"
] | Current State: 66:[77, 70, 22, 14], Operations: []
Exploring Operation: 22*14=308, Resulting Numbers: [77, 70, 308]
Generated Node #2: [77, 70, 308] from Operation: 22*14=308
Current State: 66:[77, 70, 308], Operations: ['22*14=308']
Exploring Operation: 308/77=4, Resulting Numbers: [70, 4]
Generated Node #3: [70, 4] from Operation: 308/77=4
Current State: 66:[70, 4], Operations: ['22*14=308', '308/77=4']
Exploring Operation: 70-4=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
49,
56,
48,
69
] | 84 | [
"49+56=105",
"69-48=21",
"105-21=84"
] | Current State: 84:[49, 56, 48, 69], Operations: []
Exploring Operation: 49+56=105, Resulting Numbers: [48, 69, 105]
Generated Node #2: [48, 69, 105] from Operation: 49+56=105
Current State: 84:[48, 69, 105], Operations: ['49+56=105']
Exploring Operation: 69-48=21, Resulting Numbers: [105, 21]
Generated Node #3: [105, 21] from Operation: 69-48=21
Current State: 84:[105, 21], Operations: ['49+56=105', '69-48=21']
Exploring Operation: 105-21=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
33,
42,
12,
15
] | 48 | [
"33+42=75",
"12+15=27",
"75-27=48"
] | Current State: 48:[33, 42, 12, 15], Operations: []
Exploring Operation: 33+42=75, Resulting Numbers: [12, 15, 75]
Generated Node #2: [12, 15, 75] from Operation: 33+42=75
Current State: 48:[12, 15, 75], Operations: ['33+42=75']
Exploring Operation: 12+15=27, Resulting Numbers: [75, 27]
Generated Node #3: [75, 27] from Operation: 12+15=27
Current State: 48:[75, 27], Operations: ['33+42=75', '12+15=27']
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
43,
76,
13,
11
] | 81 | [
"13-11=2",
"76/2=38",
"43+38=81"
] | Current State: 81:[43, 76, 13, 11], Operations: []
Exploring Operation: 13-11=2, Resulting Numbers: [43, 76, 2]
Generated Node #2: [43, 76, 2] from Operation: 13-11=2
Current State: 81:[43, 76, 2], Operations: ['13-11=2']
Exploring Operation: 76/2=38, Resulting Numbers: [43, 38]
Generated Node #3: [43, 38] from Operation: 76/2=38
Current State: 81:[43, 38], Operations: ['13-11=2', '76/2=38']
Exploring Operation: 43+38=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
54,
79,
38,
10
] | 85 | [
"54+79=133",
"38+10=48",
"133-48=85"
] | Current State: 85:[54, 79, 38, 10], Operations: []
Exploring Operation: 54+79=133, Resulting Numbers: [38, 10, 133]
Generated Node #2: [38, 10, 133] from Operation: 54+79=133
Current State: 85:[38, 10, 133], Operations: ['54+79=133']
Exploring Operation: 38+10=48, Resulting Numbers: [133, 48]
Generated Node #3: [133, 48] from Operation: 38+10=48
Current State: 85:[133, 48], Operations: ['54+79=133', '38+10=48']
Exploring Operation: 133-48=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
67,
83,
95,
2
] | 43 | [
"95-83=12",
"2*12=24",
"67-24=43"
] | Current State: 43:[67, 83, 95, 2], Operations: []
Exploring Operation: 95-83=12, Resulting Numbers: [67, 2, 12]
Generated Node #2: [67, 2, 12] from Operation: 95-83=12
Current State: 43:[67, 2, 12], Operations: ['95-83=12']
Exploring Operation: 2*12=24, Resulting Numbers: [67, 24]
Generated Node #3: [67, 24] from Operation: 2*12=24
Current State: 43:[67, 24], Operations: ['95-83=12', '2*12=24']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
89,
7,
6,
31
] | 18 | [
"89+6=95",
"31+95=126",
"126/7=18"
] | Current State: 18:[89, 7, 6, 31], Operations: []
Exploring Operation: 89+6=95, Resulting Numbers: [7, 31, 95]
Generated Node #2: [7, 31, 95] from Operation: 89+6=95
Current State: 18:[7, 31, 95], Operations: ['89+6=95']
Exploring Operation: 31+95=126, Resulting Numbers: [7, 126]
Generated Node #3: [7, 126] from Operation: 31+95=126
Current State: 18:[7, 126], Operations: ['89+6=95', '31+95=126']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
68,
49,
39,
98
] | 27 | [
"68-39=29",
"98/49=2",
"29-2=27"
] | Current State: 27:[68, 49, 39, 98], Operations: []
Exploring Operation: 68-39=29, Resulting Numbers: [49, 98, 29]
Generated Node #2: [49, 98, 29] from Operation: 68-39=29
Current State: 27:[49, 98, 29], Operations: ['68-39=29']
Exploring Operation: 98/49=2, Resulting Numbers: [29, 2]
Generated Node #3: [29, 2] from Operation: 98/49=2
Current State: 27:[29, 2], Operations: ['68-39=29', '98/49=2']
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
41,
4,
22,
45
] | 31 | [
"41-22=19",
"4*19=76",
"76-45=31"
] | Current State: 31:[41, 4, 22, 45], Operations: []
Exploring Operation: 41-22=19, Resulting Numbers: [4, 45, 19]
Generated Node #2: [4, 45, 19] from Operation: 41-22=19
Current State: 31:[4, 45, 19], Operations: ['41-22=19']
Exploring Operation: 4*19=76, Resulting Numbers: [45, 76]
Generated Node #3: [45, 76] from Operation: 4*19=76
Current State: 31:[45, 76], Operations: ['41-22=19', '4*19=76']
Exploring Operation: 76-45=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
17,
1,
4,
80
] | 67 | [
"17*1=17",
"4+80=84",
"84-17=67"
] | Current State: 67:[17, 1, 4, 80], Operations: []
Exploring Operation: 17*1=17, Resulting Numbers: [4, 80, 17]
Generated Node #2: [4, 80, 17] from Operation: 17*1=17
Current State: 67:[4, 80, 17], Operations: ['17*1=17']
Exploring Operation: 4+80=84, Resulting Numbers: [17, 84]
Generated Node #3: [17, 84] from Operation: 4+80=84
Current State: 67:[17, 84], Operations: ['17*1=17', '4+80=84']
Exploring Operation: 84-17=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
24,
15,
4,
89
] | 80 | [
"24/4=6",
"89-15=74",
"6+74=80"
] | Current State: 80:[24, 15, 4, 89], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [15, 89, 6]
Generated Node #2: [15, 89, 6] from Operation: 24/4=6
Current State: 80:[15, 89, 6], Operations: ['24/4=6']
Exploring Operation: 89-15=74, Resulting Numbers: [6, 74]
Generated Node #3: [6, 74] from Operation: 89-15=74
Current State: 80:[6, 74], Operations: ['24/4=6', '89-15=74']
Exploring Operation: 6+74=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
49,
43,
52,
95
] | 37 | [
"49-43=6",
"95-52=43",
"43-6=37"
] | Current State: 37:[49, 43, 52, 95], Operations: []
Exploring Operation: 49-43=6, Resulting Numbers: [52, 95, 6]
Generated Node #2: [52, 95, 6] from Operation: 49-43=6
Current State: 37:[52, 95, 6], Operations: ['49-43=6']
Exploring Operation: 95-52=43, Resulting Numbers: [6, 43]
Generated Node #3: [6, 43] from Operation: 95-52=43
Current State: 37:[6, 43], Operations: ['49-43=6', '95-52=43']
Exploring Operation: 43-6=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
19,
37,
8,
83
] | 57 | [
"37-19=18",
"83-8=75",
"75-18=57"
] | Current State: 57:[19, 37, 8, 83], Operations: []
Exploring Operation: 37-19=18, Resulting Numbers: [8, 83, 18]
Generated Node #2: [8, 83, 18] from Operation: 37-19=18
Current State: 57:[8, 83, 18], Operations: ['37-19=18']
Exploring Operation: 83-8=75, Resulting Numbers: [18, 75]
Generated Node #3: [18, 75] from Operation: 83-8=75
Current State: 57:[18, 75], Operations: ['37-19=18', '83-8=75']
Exploring Operation: 75-18=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
78,
89,
3,
2
] | 10 | [
"89-78=11",
"3-2=1",
"11-1=10"
] | Current State: 10:[78, 89, 3, 2], Operations: []
Exploring Operation: 89-78=11, Resulting Numbers: [3, 2, 11]
Generated Node #2: [3, 2, 11] from Operation: 89-78=11
Current State: 10:[3, 2, 11], Operations: ['89-78=11']
Exploring Operation: 3-2=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 3-2=1
Current State: 10:[11, 1], Operations: ['89-78=11', '3-2=1']
Exploring Operation: 11-1=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
83,
74,
91,
58
] | 71 | [
"83+91=174",
"174/58=3",
"74-3=71"
] | Current State: 71:[83, 74, 91, 58], Operations: []
Exploring Operation: 83+91=174, Resulting Numbers: [74, 58, 174]
Generated Node #2: [74, 58, 174] from Operation: 83+91=174
Current State: 71:[74, 58, 174], Operations: ['83+91=174']
Exploring Operation: 174/58=3, Resulting Numbers: [74, 3]
Generated Node #3: [74, 3] from Operation: 174/58=3
Current State: 71:[74, 3], Operations: ['83+91=174', '174/58=3']
Exploring Operation: 74-3=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
85,
38,
51,
17
] | 89 | [
"85+38=123",
"51-17=34",
"123-34=89"
] | Current State: 89:[85, 38, 51, 17], Operations: []
Exploring Operation: 85+38=123, Resulting Numbers: [51, 17, 123]
Generated Node #2: [51, 17, 123] from Operation: 85+38=123
Current State: 89:[51, 17, 123], Operations: ['85+38=123']
Exploring Operation: 51-17=34, Resulting Numbers: [123, 34]
Generated Node #3: [123, 34] from Operation: 51-17=34
Current State: 89:[123, 34], Operations: ['85+38=123', '51-17=34']
Exploring Operation: 123-34=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
33,
71,
6,
63
] | 47 | [
"33+71=104",
"63-6=57",
"104-57=47"
] | Current State: 47:[33, 71, 6, 63], Operations: []
Exploring Operation: 33+71=104, Resulting Numbers: [6, 63, 104]
Generated Node #2: [6, 63, 104] from Operation: 33+71=104
Current State: 47:[6, 63, 104], Operations: ['33+71=104']
Exploring Operation: 63-6=57, Resulting Numbers: [104, 57]
Generated Node #3: [104, 57] from Operation: 63-6=57
Current State: 47:[104, 57], Operations: ['33+71=104', '63-6=57']
Exploring Operation: 104-57=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
50,
46,
51,
25
] | 35 | [
"51-46=5",
"50/5=10",
"25+10=35"
] | Current State: 35:[50, 46, 51, 25], Operations: []
Exploring Operation: 51-46=5, Resulting Numbers: [50, 25, 5]
Generated Node #2: [50, 25, 5] from Operation: 51-46=5
Current State: 35:[50, 25, 5], Operations: ['51-46=5']
Exploring Operation: 50/5=10, Resulting Numbers: [25, 10]
Generated Node #3: [25, 10] from Operation: 50/5=10
Current State: 35:[25, 10], Operations: ['51-46=5', '50/5=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
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