nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
97,
40,
95,
50
] | 88 | [
"97-40=57",
"95+50=145",
"145-57=88"
] | Current State: 88:[97, 40, 95, 50], Operations: []
Exploring Operation: 97-40=57, Resulting Numbers: [95, 50, 57]
Generated Node #2: [95, 50, 57] from Operation: 97-40=57
Current State: 88:[95, 50, 57], Operations: ['97-40=57']
Exploring Operation: 95+50=145, Resulting Numbers: [57, 145]
Generated Node #3: [57, 145] from Operation: 95+50=145
Current State: 88:[57, 145], Operations: ['97-40=57', '95+50=145']
Exploring Operation: 145-57=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
28,
27,
68,
57
] | 66 | [
"28+27=55",
"68-57=11",
"55+11=66"
] | Current State: 66:[28, 27, 68, 57], Operations: []
Exploring Operation: 28+27=55, Resulting Numbers: [68, 57, 55]
Generated Node #2: [68, 57, 55] from Operation: 28+27=55
Current State: 66:[68, 57, 55], Operations: ['28+27=55']
Exploring Operation: 68-57=11, Resulting Numbers: [55, 11]
Generated Node #3: [55, 11] from Operation: 68-57=11
Current State: 66:[55, 11], Operations: ['28+27=55', '68-57=11']
Exploring Operation: 55+11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
76,
14,
82
] | 41 | [
"24+14=38",
"76/38=2",
"82/2=41"
] | Current State: 41:[24, 76, 14, 82], Operations: []
Exploring Operation: 24+14=38, Resulting Numbers: [76, 82, 38]
Generated Node #2: [76, 82, 38] from Operation: 24+14=38
Current State: 41:[76, 82, 38], Operations: ['24+14=38']
Exploring Operation: 76/38=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 76/38=2
Current State: 41:[82, 2], Operations: ['24+14=38', '76/38=2']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
38,
33,
41,
90
] | 19 | [
"41-38=3",
"90-33=57",
"57/3=19"
] | Current State: 19:[38, 33, 41, 90], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [33, 90, 3]
Generated Node #2: [33, 90, 3] from Operation: 41-38=3
Current State: 19:[33, 90, 3], Operations: ['41-38=3']
Exploring Operation: 90-33=57, Resulting Numbers: [3, 57]
Generated Node #3: [3, 57] from Operation: 90-33=57
Current State: 19:[3, 57], Operations: ['41-38=3', '90-33=57']
Exploring Operation: 57/3=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
3,
79,
14
] | 65 | [
"25+3=28",
"79+14=93",
"93-28=65"
] | Current State: 65:[25, 3, 79, 14], Operations: []
Exploring Operation: 25+3=28, Resulting Numbers: [79, 14, 28]
Generated Node #2: [79, 14, 28] from Operation: 25+3=28
Current State: 65:[79, 14, 28], Operations: ['25+3=28']
Exploring Operation: 79+14=93, Resulting Numbers: [28, 93]
Generated Node #3: [28, 93] from Operation: 79+14=93
Current State: 65:[28, 93], Operations: ['25+3=28', '79+14=93']
Exploring Operation: 93-28=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
24,
32,
85,
31
] | 87 | [
"85+31=116",
"24*116=2784",
"2784/32=87"
] | Current State: 87:[24, 32, 85, 31], Operations: []
Exploring Operation: 85+31=116, Resulting Numbers: [24, 32, 116]
Generated Node #2: [24, 32, 116] from Operation: 85+31=116
Current State: 87:[24, 32, 116], Operations: ['85+31=116']
Exploring Operation: 24*116=2784, Resulting Numbers: [32, 2784]
Generated Node #3: [32, 2784] from Operation: 24*116=2784
Current State: 87:[32, 2784], Operations: ['85+31=116', '24*116=2784']
Exploring Operation: 2784/32=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
41,
20,
35
] | 65 | [
"42*20=840",
"840/35=24",
"41+24=65"
] | Current State: 65:[42, 41, 20, 35], Operations: []
Exploring Operation: 42*20=840, Resulting Numbers: [41, 35, 840]
Generated Node #2: [41, 35, 840] from Operation: 42*20=840
Current State: 65:[41, 35, 840], Operations: ['42*20=840']
Exploring Operation: 840/35=24, Resulting Numbers: [41, 24]
Generated Node #3: [41, 24] from Operation: 840/35=24
Current State: 65:[41, 24], Operations: ['42*20=840', '840/35=24']
Exploring Operation: 41+24=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
45,
5,
41,
33
] | 65 | [
"45/5=9",
"41+33=74",
"74-9=65"
] | Current State: 65:[45, 5, 41, 33], Operations: []
Exploring Operation: 45/5=9, Resulting Numbers: [41, 33, 9]
Generated Node #2: [41, 33, 9] from Operation: 45/5=9
Current State: 65:[41, 33, 9], Operations: ['45/5=9']
Exploring Operation: 41+33=74, Resulting Numbers: [9, 74]
Generated Node #3: [9, 74] from Operation: 41+33=74
Current State: 65:[9, 74], Operations: ['45/5=9', '41+33=74']
Exploring Operation: 74-9=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
5,
5,
16,
51
] | 51 | [
"5-5=0",
"16*0=0",
"51+0=51"
] | Current State: 51:[5, 5, 16, 51], Operations: []
Exploring Operation: 5-5=0, Resulting Numbers: [16, 51, 0]
Generated Node #2: [16, 51, 0] from Operation: 5-5=0
Current State: 51:[16, 51, 0], Operations: ['5-5=0']
Exploring Operation: 16*0=0, Resulting Numbers: [51, 0]
Generated Node #3: [51, 0] from Operation: 16*0=0
Current State: 51:[51, 0], Operations: ['5-5=0', '16*0=0']
Exploring Operation: 51+0=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
76,
84,
64,
35
] | 42 | [
"76-64=12",
"84/12=7",
"35+7=42"
] | Current State: 42:[76, 84, 64, 35], Operations: []
Exploring Operation: 76-64=12, Resulting Numbers: [84, 35, 12]
Generated Node #2: [84, 35, 12] from Operation: 76-64=12
Current State: 42:[84, 35, 12], Operations: ['76-64=12']
Exploring Operation: 84/12=7, Resulting Numbers: [35, 7]
Generated Node #3: [35, 7] from Operation: 84/12=7
Current State: 42:[35, 7], Operations: ['76-64=12', '84/12=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
62,
57,
40,
38
] | 88 | [
"40-38=2",
"62/2=31",
"57+31=88"
] | Current State: 88:[62, 57, 40, 38], Operations: []
Exploring Operation: 40-38=2, Resulting Numbers: [62, 57, 2]
Generated Node #2: [62, 57, 2] from Operation: 40-38=2
Current State: 88:[62, 57, 2], Operations: ['40-38=2']
Exploring Operation: 62/2=31, Resulting Numbers: [57, 31]
Generated Node #3: [57, 31] from Operation: 62/2=31
Current State: 88:[57, 31], Operations: ['40-38=2', '62/2=31']
Exploring Operation: 57+31=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
24,
86,
19,
80
] | 70 | [
"24-19=5",
"80/5=16",
"86-16=70"
] | Current State: 70:[24, 86, 19, 80], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [86, 80, 5]
Generated Node #2: [86, 80, 5] from Operation: 24-19=5
Current State: 70:[86, 80, 5], Operations: ['24-19=5']
Exploring Operation: 80/5=16, Resulting Numbers: [86, 16]
Generated Node #3: [86, 16] from Operation: 80/5=16
Current State: 70:[86, 16], Operations: ['24-19=5', '80/5=16']
Exploring Operation: 86-16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
20,
15,
3,
38
] | 83 | [
"20*3=60",
"38-15=23",
"60+23=83"
] | Current State: 83:[20, 15, 3, 38], Operations: []
Exploring Operation: 20*3=60, Resulting Numbers: [15, 38, 60]
Generated Node #2: [15, 38, 60] from Operation: 20*3=60
Current State: 83:[15, 38, 60], Operations: ['20*3=60']
Exploring Operation: 38-15=23, Resulting Numbers: [60, 23]
Generated Node #3: [60, 23] from Operation: 38-15=23
Current State: 83:[60, 23], Operations: ['20*3=60', '38-15=23']
Exploring Operation: 60+23=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
6,
14,
94,
9
] | 93 | [
"14-6=8",
"94-9=85",
"8+85=93"
] | Current State: 93:[6, 14, 94, 9], Operations: []
Exploring Operation: 14-6=8, Resulting Numbers: [94, 9, 8]
Generated Node #2: [94, 9, 8] from Operation: 14-6=8
Current State: 93:[94, 9, 8], Operations: ['14-6=8']
Exploring Operation: 94-9=85, Resulting Numbers: [8, 85]
Generated Node #3: [8, 85] from Operation: 94-9=85
Current State: 93:[8, 85], Operations: ['14-6=8', '94-9=85']
Exploring Operation: 8+85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
82,
21,
46,
59
] | 90 | [
"82+21=103",
"59-46=13",
"103-13=90"
] | Current State: 90:[82, 21, 46, 59], Operations: []
Exploring Operation: 82+21=103, Resulting Numbers: [46, 59, 103]
Generated Node #2: [46, 59, 103] from Operation: 82+21=103
Current State: 90:[46, 59, 103], Operations: ['82+21=103']
Exploring Operation: 59-46=13, Resulting Numbers: [103, 13]
Generated Node #3: [103, 13] from Operation: 59-46=13
Current State: 90:[103, 13], Operations: ['82+21=103', '59-46=13']
Exploring Operation: 103-13=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
50,
4,
71,
66
] | 83 | [
"50+4=54",
"71+66=137",
"137-54=83"
] | Current State: 83:[50, 4, 71, 66], Operations: []
Exploring Operation: 50+4=54, Resulting Numbers: [71, 66, 54]
Generated Node #2: [71, 66, 54] from Operation: 50+4=54
Current State: 83:[71, 66, 54], Operations: ['50+4=54']
Exploring Operation: 71+66=137, Resulting Numbers: [54, 137]
Generated Node #3: [54, 137] from Operation: 71+66=137
Current State: 83:[54, 137], Operations: ['50+4=54', '71+66=137']
Exploring Operation: 137-54=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
3,
15,
44,
97
] | 97 | [
"3*15=45",
"45-44=1",
"97*1=97"
] | Current State: 97:[3, 15, 44, 97], Operations: []
Exploring Operation: 3*15=45, Resulting Numbers: [44, 97, 45]
Generated Node #2: [44, 97, 45] from Operation: 3*15=45
Current State: 97:[44, 97, 45], Operations: ['3*15=45']
Exploring Operation: 45-44=1, Resulting Numbers: [97, 1]
Generated Node #3: [97, 1] from Operation: 45-44=1
Current State: 97:[97, 1], Operations: ['3*15=45', '45-44=1']
Exploring Operation: 97*1=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
95,
68,
53,
30
] | 93 | [
"68-53=15",
"30/15=2",
"95-2=93"
] | Current State: 93:[95, 68, 53, 30], Operations: []
Exploring Operation: 68-53=15, Resulting Numbers: [95, 30, 15]
Generated Node #2: [95, 30, 15] from Operation: 68-53=15
Current State: 93:[95, 30, 15], Operations: ['68-53=15']
Exploring Operation: 30/15=2, Resulting Numbers: [95, 2]
Generated Node #3: [95, 2] from Operation: 30/15=2
Current State: 93:[95, 2], Operations: ['68-53=15', '30/15=2']
Exploring Operation: 95-2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
91,
29,
89,
47
] | 20 | [
"91-29=62",
"89-47=42",
"62-42=20"
] | Current State: 20:[91, 29, 89, 47], Operations: []
Exploring Operation: 91-29=62, Resulting Numbers: [89, 47, 62]
Generated Node #2: [89, 47, 62] from Operation: 91-29=62
Current State: 20:[89, 47, 62], Operations: ['91-29=62']
Exploring Operation: 89-47=42, Resulting Numbers: [62, 42]
Generated Node #3: [62, 42] from Operation: 89-47=42
Current State: 20:[62, 42], Operations: ['91-29=62', '89-47=42']
Exploring Operation: 62-42=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
97,
23,
88,
12
] | 26 | [
"97-23=74",
"88+12=100",
"100-74=26"
] | Current State: 26:[97, 23, 88, 12], Operations: []
Exploring Operation: 97-23=74, Resulting Numbers: [88, 12, 74]
Generated Node #2: [88, 12, 74] from Operation: 97-23=74
Current State: 26:[88, 12, 74], Operations: ['97-23=74']
Exploring Operation: 88+12=100, Resulting Numbers: [74, 100]
Generated Node #3: [74, 100] from Operation: 88+12=100
Current State: 26:[74, 100], Operations: ['97-23=74', '88+12=100']
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
38,
8,
46,
77
] | 20 | [
"38+77=115",
"8*115=920",
"920/46=20"
] | Current State: 20:[38, 8, 46, 77], Operations: []
Exploring Operation: 38+77=115, Resulting Numbers: [8, 46, 115]
Generated Node #2: [8, 46, 115] from Operation: 38+77=115
Current State: 20:[8, 46, 115], Operations: ['38+77=115']
Exploring Operation: 8*115=920, Resulting Numbers: [46, 920]
Generated Node #3: [46, 920] from Operation: 8*115=920
Current State: 20:[46, 920], Operations: ['38+77=115', '8*115=920']
Exploring Operation: 920/46=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
63,
69,
20,
7
] | 40 | [
"63/7=9",
"69-20=49",
"49-9=40"
] | Current State: 40:[63, 69, 20, 7], Operations: []
Exploring Operation: 63/7=9, Resulting Numbers: [69, 20, 9]
Generated Node #2: [69, 20, 9] from Operation: 63/7=9
Current State: 40:[69, 20, 9], Operations: ['63/7=9']
Exploring Operation: 69-20=49, Resulting Numbers: [9, 49]
Generated Node #3: [9, 49] from Operation: 69-20=49
Current State: 40:[9, 49], Operations: ['63/7=9', '69-20=49']
Exploring Operation: 49-9=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
96,
75,
25,
4
] | 49 | [
"96+75=171",
"25+171=196",
"196/4=49"
] | Current State: 49:[96, 75, 25, 4], Operations: []
Exploring Operation: 96+75=171, Resulting Numbers: [25, 4, 171]
Generated Node #2: [25, 4, 171] from Operation: 96+75=171
Current State: 49:[25, 4, 171], Operations: ['96+75=171']
Exploring Operation: 25+171=196, Resulting Numbers: [4, 196]
Generated Node #3: [4, 196] from Operation: 25+171=196
Current State: 49:[4, 196], Operations: ['96+75=171', '25+171=196']
Exploring Operation: 196/4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
51,
81,
24,
15
] | 58 | [
"81+24=105",
"105/15=7",
"51+7=58"
] | Current State: 58:[51, 81, 24, 15], Operations: []
Exploring Operation: 81+24=105, Resulting Numbers: [51, 15, 105]
Generated Node #2: [51, 15, 105] from Operation: 81+24=105
Current State: 58:[51, 15, 105], Operations: ['81+24=105']
Exploring Operation: 105/15=7, Resulting Numbers: [51, 7]
Generated Node #3: [51, 7] from Operation: 105/15=7
Current State: 58:[51, 7], Operations: ['81+24=105', '105/15=7']
Exploring Operation: 51+7=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
73,
2,
99,
75
] | 11 | [
"73+99=172",
"172/2=86",
"86-75=11"
] | Current State: 11:[73, 2, 99, 75], Operations: []
Exploring Operation: 73+99=172, Resulting Numbers: [2, 75, 172]
Generated Node #2: [2, 75, 172] from Operation: 73+99=172
Current State: 11:[2, 75, 172], Operations: ['73+99=172']
Exploring Operation: 172/2=86, Resulting Numbers: [75, 86]
Generated Node #3: [75, 86] from Operation: 172/2=86
Current State: 11:[75, 86], Operations: ['73+99=172', '172/2=86']
Exploring Operation: 86-75=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
32,
64,
73,
10
] | 31 | [
"64-32=32",
"73-10=63",
"63-32=31"
] | Current State: 31:[32, 64, 73, 10], Operations: []
Exploring Operation: 64-32=32, Resulting Numbers: [73, 10, 32]
Generated Node #2: [73, 10, 32] from Operation: 64-32=32
Current State: 31:[73, 10, 32], Operations: ['64-32=32']
Exploring Operation: 73-10=63, Resulting Numbers: [32, 63]
Generated Node #3: [32, 63] from Operation: 73-10=63
Current State: 31:[32, 63], Operations: ['64-32=32', '73-10=63']
Exploring Operation: 63-32=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
33,
97,
14,
68
] | 56 | [
"97-33=64",
"68-64=4",
"14*4=56"
] | Current State: 56:[33, 97, 14, 68], Operations: []
Exploring Operation: 97-33=64, Resulting Numbers: [14, 68, 64]
Generated Node #2: [14, 68, 64] from Operation: 97-33=64
Current State: 56:[14, 68, 64], Operations: ['97-33=64']
Exploring Operation: 68-64=4, Resulting Numbers: [14, 4]
Generated Node #3: [14, 4] from Operation: 68-64=4
Current State: 56:[14, 4], Operations: ['97-33=64', '68-64=4']
Exploring Operation: 14*4=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
65,
18,
59
] | 82 | [
"65-59=6",
"18*6=108",
"108-26=82"
] | Current State: 82:[26, 65, 18, 59], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [26, 18, 6]
Generated Node #2: [26, 18, 6] from Operation: 65-59=6
Current State: 82:[26, 18, 6], Operations: ['65-59=6']
Exploring Operation: 18*6=108, Resulting Numbers: [26, 108]
Generated Node #3: [26, 108] from Operation: 18*6=108
Current State: 82:[26, 108], Operations: ['65-59=6', '18*6=108']
Exploring Operation: 108-26=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
68,
98,
15,
95
] | 50 | [
"98-68=30",
"95-15=80",
"80-30=50"
] | Current State: 50:[68, 98, 15, 95], Operations: []
Exploring Operation: 98-68=30, Resulting Numbers: [15, 95, 30]
Generated Node #2: [15, 95, 30] from Operation: 98-68=30
Current State: 50:[15, 95, 30], Operations: ['98-68=30']
Exploring Operation: 95-15=80, Resulting Numbers: [30, 80]
Generated Node #3: [30, 80] from Operation: 95-15=80
Current State: 50:[30, 80], Operations: ['98-68=30', '95-15=80']
Exploring Operation: 80-30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
82,
99,
2,
12
] | 23 | [
"99-82=17",
"12/2=6",
"17+6=23"
] | Current State: 23:[82, 99, 2, 12], Operations: []
Exploring Operation: 99-82=17, Resulting Numbers: [2, 12, 17]
Generated Node #2: [2, 12, 17] from Operation: 99-82=17
Current State: 23:[2, 12, 17], Operations: ['99-82=17']
Exploring Operation: 12/2=6, Resulting Numbers: [17, 6]
Generated Node #3: [17, 6] from Operation: 12/2=6
Current State: 23:[17, 6], Operations: ['99-82=17', '12/2=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
88,
58,
24,
1
] | 54 | [
"88-58=30",
"24*1=24",
"30+24=54"
] | Current State: 54:[88, 58, 24, 1], Operations: []
Exploring Operation: 88-58=30, Resulting Numbers: [24, 1, 30]
Generated Node #2: [24, 1, 30] from Operation: 88-58=30
Current State: 54:[24, 1, 30], Operations: ['88-58=30']
Exploring Operation: 24*1=24, Resulting Numbers: [30, 24]
Generated Node #3: [30, 24] from Operation: 24*1=24
Current State: 54:[30, 24], Operations: ['88-58=30', '24*1=24']
Exploring Operation: 30+24=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
29,
37,
28,
84
] | 69 | [
"29+37=66",
"84/28=3",
"66+3=69"
] | Current State: 69:[29, 37, 28, 84], Operations: []
Exploring Operation: 29+37=66, Resulting Numbers: [28, 84, 66]
Generated Node #2: [28, 84, 66] from Operation: 29+37=66
Current State: 69:[28, 84, 66], Operations: ['29+37=66']
Exploring Operation: 84/28=3, Resulting Numbers: [66, 3]
Generated Node #3: [66, 3] from Operation: 84/28=3
Current State: 69:[66, 3], Operations: ['29+37=66', '84/28=3']
Exploring Operation: 66+3=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
6,
3,
48,
3
] | 17 | [
"6-3=3",
"48+3=51",
"51/3=17"
] | Current State: 17:[6, 3, 48, 3], Operations: []
Exploring Operation: 6-3=3, Resulting Numbers: [48, 3]
Generated Node #2: [48, 3] from Operation: 6-3=3
Current State: 17:[48, 3], Operations: ['6-3=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,17 equal: Goal Reached
Exploring Operation: 51/3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
98,
94,
37,
26
] | 67 | [
"98-94=4",
"37+26=63",
"4+63=67"
] | Current State: 67:[98, 94, 37, 26], Operations: []
Exploring Operation: 98-94=4, Resulting Numbers: [37, 26, 4]
Generated Node #2: [37, 26, 4] from Operation: 98-94=4
Current State: 67:[37, 26, 4], Operations: ['98-94=4']
Exploring Operation: 37+26=63, Resulting Numbers: [4, 63]
Generated Node #3: [4, 63] from Operation: 37+26=63
Current State: 67:[4, 63], Operations: ['98-94=4', '37+26=63']
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
65,
83,
37,
71
] | 90 | [
"83-65=18",
"37+71=108",
"108-18=90"
] | Current State: 90:[65, 83, 37, 71], Operations: []
Exploring Operation: 83-65=18, Resulting Numbers: [37, 71, 18]
Generated Node #2: [37, 71, 18] from Operation: 83-65=18
Current State: 90:[37, 71, 18], Operations: ['83-65=18']
Exploring Operation: 37+71=108, Resulting Numbers: [18, 108]
Generated Node #3: [18, 108] from Operation: 37+71=108
Current State: 90:[18, 108], Operations: ['83-65=18', '37+71=108']
Exploring Operation: 108-18=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
56,
22,
14,
37
] | 11 | [
"56-22=34",
"37-14=23",
"34-23=11"
] | Current State: 11:[56, 22, 14, 37], Operations: []
Exploring Operation: 56-22=34, Resulting Numbers: [14, 37, 34]
Generated Node #2: [14, 37, 34] from Operation: 56-22=34
Current State: 11:[14, 37, 34], Operations: ['56-22=34']
Exploring Operation: 37-14=23, Resulting Numbers: [34, 23]
Generated Node #3: [34, 23] from Operation: 37-14=23
Current State: 11:[34, 23], Operations: ['56-22=34', '37-14=23']
Exploring Operation: 34-23=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
72,
97,
89,
41
] | 32 | [
"97-89=8",
"72/8=9",
"41-9=32"
] | Current State: 32:[72, 97, 89, 41], Operations: []
Exploring Operation: 97-89=8, Resulting Numbers: [72, 41, 8]
Generated Node #2: [72, 41, 8] from Operation: 97-89=8
Current State: 32:[72, 41, 8], Operations: ['97-89=8']
Exploring Operation: 72/8=9, Resulting Numbers: [41, 9]
Generated Node #3: [41, 9] from Operation: 72/8=9
Current State: 32:[41, 9], Operations: ['97-89=8', '72/8=9']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
8,
29,
79,
27
] | 85 | [
"29-8=21",
"79+27=106",
"106-21=85"
] | Current State: 85:[8, 29, 79, 27], Operations: []
Exploring Operation: 29-8=21, Resulting Numbers: [79, 27, 21]
Generated Node #2: [79, 27, 21] from Operation: 29-8=21
Current State: 85:[79, 27, 21], Operations: ['29-8=21']
Exploring Operation: 79+27=106, Resulting Numbers: [21, 106]
Generated Node #3: [21, 106] from Operation: 79+27=106
Current State: 85:[21, 106], Operations: ['29-8=21', '79+27=106']
Exploring Operation: 106-21=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
19,
26,
5,
41
] | 14 | [
"19+41=60",
"60/5=12",
"26-12=14"
] | Current State: 14:[19, 26, 5, 41], Operations: []
Exploring Operation: 19+41=60, Resulting Numbers: [26, 5, 60]
Generated Node #2: [26, 5, 60] from Operation: 19+41=60
Current State: 14:[26, 5, 60], Operations: ['19+41=60']
Exploring Operation: 60/5=12, Resulting Numbers: [26, 12]
Generated Node #3: [26, 12] from Operation: 60/5=12
Current State: 14:[26, 12], Operations: ['19+41=60', '60/5=12']
Exploring Operation: 26-12=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
34,
17,
36,
1
] | 19 | [
"34-17=17",
"36*1=36",
"36-17=19"
] | Current State: 19:[34, 17, 36, 1], Operations: []
Exploring Operation: 34-17=17, Resulting Numbers: [36, 1, 17]
Generated Node #2: [36, 1, 17] from Operation: 34-17=17
Current State: 19:[36, 1, 17], Operations: ['34-17=17']
Exploring Operation: 36*1=36, Resulting Numbers: [17, 36]
Generated Node #3: [17, 36] from Operation: 36*1=36
Current State: 19:[17, 36], Operations: ['34-17=17', '36*1=36']
Exploring Operation: 36-17=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
44,
66,
55,
27
] | 33 | [
"55-44=11",
"66/11=6",
"27+6=33"
] | Current State: 33:[44, 66, 55, 27], Operations: []
Exploring Operation: 55-44=11, Resulting Numbers: [66, 27, 11]
Generated Node #2: [66, 27, 11] from Operation: 55-44=11
Current State: 33:[66, 27, 11], Operations: ['55-44=11']
Exploring Operation: 66/11=6, Resulting Numbers: [27, 6]
Generated Node #3: [27, 6] from Operation: 66/11=6
Current State: 33:[27, 6], Operations: ['55-44=11', '66/11=6']
Exploring Operation: 27+6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
14,
15,
8,
78
] | 85 | [
"15-14=1",
"8+78=86",
"86-1=85"
] | Current State: 85:[14, 15, 8, 78], Operations: []
Exploring Operation: 15-14=1, Resulting Numbers: [8, 78, 1]
Generated Node #2: [8, 78, 1] from Operation: 15-14=1
Current State: 85:[8, 78, 1], Operations: ['15-14=1']
Exploring Operation: 8+78=86, Resulting Numbers: [1, 86]
Generated Node #3: [1, 86] from Operation: 8+78=86
Current State: 85:[1, 86], Operations: ['15-14=1', '8+78=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
13,
31,
13,
15
] | 47 | [
"13/13=1",
"31+15=46",
"1+46=47"
] | Current State: 47:[13, 31, 13, 15], Operations: []
Exploring Operation: 13/13=1, Resulting Numbers: [31, 15, 1]
Generated Node #2: [31, 15, 1] from Operation: 13/13=1
Current State: 47:[31, 15, 1], Operations: ['13/13=1']
Exploring Operation: 31+15=46, Resulting Numbers: [1, 46]
Generated Node #3: [1, 46] from Operation: 31+15=46
Current State: 47:[1, 46], Operations: ['13/13=1', '31+15=46']
Exploring Operation: 1+46=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
45,
73,
26,
38
] | 92 | [
"73-45=28",
"26+38=64",
"28+64=92"
] | Current State: 92:[45, 73, 26, 38], Operations: []
Exploring Operation: 73-45=28, Resulting Numbers: [26, 38, 28]
Generated Node #2: [26, 38, 28] from Operation: 73-45=28
Current State: 92:[26, 38, 28], Operations: ['73-45=28']
Exploring Operation: 26+38=64, Resulting Numbers: [28, 64]
Generated Node #3: [28, 64] from Operation: 26+38=64
Current State: 92:[28, 64], Operations: ['73-45=28', '26+38=64']
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
61,
96,
99,
26
] | 90 | [
"96-61=35",
"99+26=125",
"125-35=90"
] | Current State: 90:[61, 96, 99, 26], Operations: []
Exploring Operation: 96-61=35, Resulting Numbers: [99, 26, 35]
Generated Node #2: [99, 26, 35] from Operation: 96-61=35
Current State: 90:[99, 26, 35], Operations: ['96-61=35']
Exploring Operation: 99+26=125, Resulting Numbers: [35, 125]
Generated Node #3: [35, 125] from Operation: 99+26=125
Current State: 90:[35, 125], Operations: ['96-61=35', '99+26=125']
Exploring Operation: 125-35=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
4,
14,
92,
92
] | 83 | [
"92/4=23",
"14+92=106",
"106-23=83"
] | Current State: 83:[4, 14, 92, 92], Operations: []
Exploring Operation: 92/4=23, Resulting Numbers: [14, 23]
Generated Node #2: [14, 23] from Operation: 92/4=23
Current State: 83:[14, 23], Operations: ['92/4=23']
Exploring Operation: 14+92=106, Resulting Numbers: [23, 106]
Generated Node #3: [23, 106] from Operation: 14+92=106
Current State: 83:[23, 106], Operations: ['92/4=23', '14+92=106']
Exploring Operation: 106-23=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
3,
57,
33,
58
] | 88 | [
"57+33=90",
"90/3=30",
"58+30=88"
] | Current State: 88:[3, 57, 33, 58], Operations: []
Exploring Operation: 57+33=90, Resulting Numbers: [3, 58, 90]
Generated Node #2: [3, 58, 90] from Operation: 57+33=90
Current State: 88:[3, 58, 90], Operations: ['57+33=90']
Exploring Operation: 90/3=30, Resulting Numbers: [58, 30]
Generated Node #3: [58, 30] from Operation: 90/3=30
Current State: 88:[58, 30], Operations: ['57+33=90', '90/3=30']
Exploring Operation: 58+30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
27,
92,
15,
11
] | 34 | [
"92-15=77",
"77/11=7",
"27+7=34"
] | Current State: 34:[27, 92, 15, 11], Operations: []
Exploring Operation: 92-15=77, Resulting Numbers: [27, 11, 77]
Generated Node #2: [27, 11, 77] from Operation: 92-15=77
Current State: 34:[27, 11, 77], Operations: ['92-15=77']
Exploring Operation: 77/11=7, Resulting Numbers: [27, 7]
Generated Node #3: [27, 7] from Operation: 77/11=7
Current State: 34:[27, 7], Operations: ['92-15=77', '77/11=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
21,
44,
71,
86
] | 92 | [
"21+44=65",
"71+86=157",
"157-65=92"
] | Current State: 92:[21, 44, 71, 86], Operations: []
Exploring Operation: 21+44=65, Resulting Numbers: [71, 86, 65]
Generated Node #2: [71, 86, 65] from Operation: 21+44=65
Current State: 92:[71, 86, 65], Operations: ['21+44=65']
Exploring Operation: 71+86=157, Resulting Numbers: [65, 157]
Generated Node #3: [65, 157] from Operation: 71+86=157
Current State: 92:[65, 157], Operations: ['21+44=65', '71+86=157']
Exploring Operation: 157-65=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
7,
70,
48,
67
] | 27 | [
"70-67=3",
"7*3=21",
"48-21=27"
] | Current State: 27:[7, 70, 48, 67], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [7, 48, 3]
Generated Node #2: [7, 48, 3] from Operation: 70-67=3
Current State: 27:[7, 48, 3], Operations: ['70-67=3']
Exploring Operation: 7*3=21, Resulting Numbers: [48, 21]
Generated Node #3: [48, 21] from Operation: 7*3=21
Current State: 27:[48, 21], Operations: ['70-67=3', '7*3=21']
Exploring Operation: 48-21=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
74,
25,
37,
81
] | 31 | [
"74*25=1850",
"1850/37=50",
"81-50=31"
] | Current State: 31:[74, 25, 37, 81], Operations: []
Exploring Operation: 74*25=1850, Resulting Numbers: [37, 81, 1850]
Generated Node #2: [37, 81, 1850] from Operation: 74*25=1850
Current State: 31:[37, 81, 1850], Operations: ['74*25=1850']
Exploring Operation: 1850/37=50, Resulting Numbers: [81, 50]
Generated Node #3: [81, 50] from Operation: 1850/37=50
Current State: 31:[81, 50], Operations: ['74*25=1850', '1850/37=50']
Exploring Operation: 81-50=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
72,
40,
75,
47
] | 88 | [
"72*75=5400",
"5400/40=135",
"135-47=88"
] | Current State: 88:[72, 40, 75, 47], Operations: []
Exploring Operation: 72*75=5400, Resulting Numbers: [40, 47, 5400]
Generated Node #2: [40, 47, 5400] from Operation: 72*75=5400
Current State: 88:[40, 47, 5400], Operations: ['72*75=5400']
Exploring Operation: 5400/40=135, Resulting Numbers: [47, 135]
Generated Node #3: [47, 135] from Operation: 5400/40=135
Current State: 88:[47, 135], Operations: ['72*75=5400', '5400/40=135']
Exploring Operation: 135-47=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
22,
99,
24,
44
] | 57 | [
"99-22=77",
"44-24=20",
"77-20=57"
] | Current State: 57:[22, 99, 24, 44], Operations: []
Exploring Operation: 99-22=77, Resulting Numbers: [24, 44, 77]
Generated Node #2: [24, 44, 77] from Operation: 99-22=77
Current State: 57:[24, 44, 77], Operations: ['99-22=77']
Exploring Operation: 44-24=20, Resulting Numbers: [77, 20]
Generated Node #3: [77, 20] from Operation: 44-24=20
Current State: 57:[77, 20], Operations: ['99-22=77', '44-24=20']
Exploring Operation: 77-20=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
72,
39,
91,
26
] | 79 | [
"39-26=13",
"91/13=7",
"72+7=79"
] | Current State: 79:[72, 39, 91, 26], Operations: []
Exploring Operation: 39-26=13, Resulting Numbers: [72, 91, 13]
Generated Node #2: [72, 91, 13] from Operation: 39-26=13
Current State: 79:[72, 91, 13], Operations: ['39-26=13']
Exploring Operation: 91/13=7, Resulting Numbers: [72, 7]
Generated Node #3: [72, 7] from Operation: 91/13=7
Current State: 79:[72, 7], Operations: ['39-26=13', '91/13=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
13,
85,
83,
28
] | 30 | [
"28-13=15",
"85-83=2",
"15*2=30"
] | Current State: 30:[13, 85, 83, 28], Operations: []
Exploring Operation: 28-13=15, Resulting Numbers: [85, 83, 15]
Generated Node #2: [85, 83, 15] from Operation: 28-13=15
Current State: 30:[85, 83, 15], Operations: ['28-13=15']
Exploring Operation: 85-83=2, Resulting Numbers: [15, 2]
Generated Node #3: [15, 2] from Operation: 85-83=2
Current State: 30:[15, 2], Operations: ['28-13=15', '85-83=2']
Exploring Operation: 15*2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
47,
45,
68,
24
] | 94 | [
"47-45=2",
"68+24=92",
"2+92=94"
] | Current State: 94:[47, 45, 68, 24], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [68, 24, 2]
Generated Node #2: [68, 24, 2] from Operation: 47-45=2
Current State: 94:[68, 24, 2], Operations: ['47-45=2']
Exploring Operation: 68+24=92, Resulting Numbers: [2, 92]
Generated Node #3: [2, 92] from Operation: 68+24=92
Current State: 94:[2, 92], Operations: ['47-45=2', '68+24=92']
Exploring Operation: 2+92=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
67,
61,
77,
90
] | 52 | [
"77-67=10",
"90/10=9",
"61-9=52"
] | Current State: 52:[67, 61, 77, 90], Operations: []
Exploring Operation: 77-67=10, Resulting Numbers: [61, 90, 10]
Generated Node #2: [61, 90, 10] from Operation: 77-67=10
Current State: 52:[61, 90, 10], Operations: ['77-67=10']
Exploring Operation: 90/10=9, Resulting Numbers: [61, 9]
Generated Node #3: [61, 9] from Operation: 90/10=9
Current State: 52:[61, 9], Operations: ['77-67=10', '90/10=9']
Exploring Operation: 61-9=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
75,
44,
3,
24
] | 10 | [
"75-44=31",
"24-3=21",
"31-21=10"
] | Current State: 10:[75, 44, 3, 24], Operations: []
Exploring Operation: 75-44=31, Resulting Numbers: [3, 24, 31]
Generated Node #2: [3, 24, 31] from Operation: 75-44=31
Current State: 10:[3, 24, 31], Operations: ['75-44=31']
Exploring Operation: 24-3=21, Resulting Numbers: [31, 21]
Generated Node #3: [31, 21] from Operation: 24-3=21
Current State: 10:[31, 21], Operations: ['75-44=31', '24-3=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
62,
5,
50,
23
] | 67 | [
"62+23=85",
"85/5=17",
"50+17=67"
] | Current State: 67:[62, 5, 50, 23], Operations: []
Exploring Operation: 62+23=85, Resulting Numbers: [5, 50, 85]
Generated Node #2: [5, 50, 85] from Operation: 62+23=85
Current State: 67:[5, 50, 85], Operations: ['62+23=85']
Exploring Operation: 85/5=17, Resulting Numbers: [50, 17]
Generated Node #3: [50, 17] from Operation: 85/5=17
Current State: 67:[50, 17], Operations: ['62+23=85', '85/5=17']
Exploring Operation: 50+17=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
7,
81,
4,
95
] | 17 | [
"81-7=74",
"95-4=91",
"91-74=17"
] | Current State: 17:[7, 81, 4, 95], Operations: []
Exploring Operation: 81-7=74, Resulting Numbers: [4, 95, 74]
Generated Node #2: [4, 95, 74] from Operation: 81-7=74
Current State: 17:[4, 95, 74], Operations: ['81-7=74']
Exploring Operation: 95-4=91, Resulting Numbers: [74, 91]
Generated Node #3: [74, 91] from Operation: 95-4=91
Current State: 17:[74, 91], Operations: ['81-7=74', '95-4=91']
Exploring Operation: 91-74=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
58,
7,
77,
72
] | 25 | [
"72-58=14",
"77/7=11",
"14+11=25"
] | Current State: 25:[58, 7, 77, 72], Operations: []
Exploring Operation: 72-58=14, Resulting Numbers: [7, 77, 14]
Generated Node #2: [7, 77, 14] from Operation: 72-58=14
Current State: 25:[7, 77, 14], Operations: ['72-58=14']
Exploring Operation: 77/7=11, Resulting Numbers: [14, 11]
Generated Node #3: [14, 11] from Operation: 77/7=11
Current State: 25:[14, 11], Operations: ['72-58=14', '77/7=11']
Exploring Operation: 14+11=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
62,
87,
98,
65
] | 33 | [
"65-62=3",
"98-87=11",
"3*11=33"
] | Current State: 33:[62, 87, 98, 65], Operations: []
Exploring Operation: 65-62=3, Resulting Numbers: [87, 98, 3]
Generated Node #2: [87, 98, 3] from Operation: 65-62=3
Current State: 33:[87, 98, 3], Operations: ['65-62=3']
Exploring Operation: 98-87=11, Resulting Numbers: [3, 11]
Generated Node #3: [3, 11] from Operation: 98-87=11
Current State: 33:[3, 11], Operations: ['65-62=3', '98-87=11']
Exploring Operation: 3*11=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
61,
25,
65,
57
] | 44 | [
"61-25=36",
"65-57=8",
"36+8=44"
] | Current State: 44:[61, 25, 65, 57], Operations: []
Exploring Operation: 61-25=36, Resulting Numbers: [65, 57, 36]
Generated Node #2: [65, 57, 36] from Operation: 61-25=36
Current State: 44:[65, 57, 36], Operations: ['61-25=36']
Exploring Operation: 65-57=8, Resulting Numbers: [36, 8]
Generated Node #3: [36, 8] from Operation: 65-57=8
Current State: 44:[36, 8], Operations: ['61-25=36', '65-57=8']
Exploring Operation: 36+8=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
10,
11,
68,
36
] | 31 | [
"11-10=1",
"68-36=32",
"32-1=31"
] | Current State: 31:[10, 11, 68, 36], Operations: []
Exploring Operation: 11-10=1, Resulting Numbers: [68, 36, 1]
Generated Node #2: [68, 36, 1] from Operation: 11-10=1
Current State: 31:[68, 36, 1], Operations: ['11-10=1']
Exploring Operation: 68-36=32, Resulting Numbers: [1, 32]
Generated Node #3: [1, 32] from Operation: 68-36=32
Current State: 31:[1, 32], Operations: ['11-10=1', '68-36=32']
Exploring Operation: 32-1=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
29,
69,
2,
28
] | 16 | [
"69-29=40",
"2*28=56",
"56-40=16"
] | Current State: 16:[29, 69, 2, 28], Operations: []
Exploring Operation: 69-29=40, Resulting Numbers: [2, 28, 40]
Generated Node #2: [2, 28, 40] from Operation: 69-29=40
Current State: 16:[2, 28, 40], Operations: ['69-29=40']
Exploring Operation: 2*28=56, Resulting Numbers: [40, 56]
Generated Node #3: [40, 56] from Operation: 2*28=56
Current State: 16:[40, 56], Operations: ['69-29=40', '2*28=56']
Exploring Operation: 56-40=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
8,
61,
67,
64
] | 10 | [
"61+67=128",
"128/64=2",
"8+2=10"
] | Current State: 10:[8, 61, 67, 64], Operations: []
Exploring Operation: 61+67=128, Resulting Numbers: [8, 64, 128]
Generated Node #2: [8, 64, 128] from Operation: 61+67=128
Current State: 10:[8, 64, 128], Operations: ['61+67=128']
Exploring Operation: 128/64=2, Resulting Numbers: [8, 2]
Generated Node #3: [8, 2] from Operation: 128/64=2
Current State: 10:[8, 2], Operations: ['61+67=128', '128/64=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
6,
32,
80,
52
] | 67 | [
"6*80=480",
"480/32=15",
"52+15=67"
] | Current State: 67:[6, 32, 80, 52], Operations: []
Exploring Operation: 6*80=480, Resulting Numbers: [32, 52, 480]
Generated Node #2: [32, 52, 480] from Operation: 6*80=480
Current State: 67:[32, 52, 480], Operations: ['6*80=480']
Exploring Operation: 480/32=15, Resulting Numbers: [52, 15]
Generated Node #3: [52, 15] from Operation: 480/32=15
Current State: 67:[52, 15], Operations: ['6*80=480', '480/32=15']
Exploring Operation: 52+15=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
38,
11,
75,
2
] | 59 | [
"75-38=37",
"11*2=22",
"37+22=59"
] | Current State: 59:[38, 11, 75, 2], Operations: []
Exploring Operation: 75-38=37, Resulting Numbers: [11, 2, 37]
Generated Node #2: [11, 2, 37] from Operation: 75-38=37
Current State: 59:[11, 2, 37], Operations: ['75-38=37']
Exploring Operation: 11*2=22, Resulting Numbers: [37, 22]
Generated Node #3: [37, 22] from Operation: 11*2=22
Current State: 59:[37, 22], Operations: ['75-38=37', '11*2=22']
Exploring Operation: 37+22=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
21,
22,
9,
55
] | 63 | [
"22-21=1",
"9+55=64",
"64-1=63"
] | Current State: 63:[21, 22, 9, 55], Operations: []
Exploring Operation: 22-21=1, Resulting Numbers: [9, 55, 1]
Generated Node #2: [9, 55, 1] from Operation: 22-21=1
Current State: 63:[9, 55, 1], Operations: ['22-21=1']
Exploring Operation: 9+55=64, Resulting Numbers: [1, 64]
Generated Node #3: [1, 64] from Operation: 9+55=64
Current State: 63:[1, 64], Operations: ['22-21=1', '9+55=64']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
49,
4,
59,
9
] | 36 | [
"49+59=108",
"108/4=27",
"9+27=36"
] | Current State: 36:[49, 4, 59, 9], Operations: []
Exploring Operation: 49+59=108, Resulting Numbers: [4, 9, 108]
Generated Node #2: [4, 9, 108] from Operation: 49+59=108
Current State: 36:[4, 9, 108], Operations: ['49+59=108']
Exploring Operation: 108/4=27, Resulting Numbers: [9, 27]
Generated Node #3: [9, 27] from Operation: 108/4=27
Current State: 36:[9, 27], Operations: ['49+59=108', '108/4=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
13,
21,
12,
69
] | 90 | [
"13-12=1",
"21+69=90",
"1*90=90"
] | Current State: 90:[13, 21, 12, 69], Operations: []
Exploring Operation: 13-12=1, Resulting Numbers: [21, 69, 1]
Generated Node #2: [21, 69, 1] from Operation: 13-12=1
Current State: 90:[21, 69, 1], Operations: ['13-12=1']
Exploring Operation: 21+69=90, Resulting Numbers: [1, 90]
Generated Node #3: [1, 90] from Operation: 21+69=90
Current State: 90:[1, 90], Operations: ['13-12=1', '21+69=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
73,
76,
71,
38
] | 43 | [
"76-73=3",
"38*3=114",
"114-71=43"
] | Current State: 43:[73, 76, 71, 38], Operations: []
Exploring Operation: 76-73=3, Resulting Numbers: [71, 38, 3]
Generated Node #2: [71, 38, 3] from Operation: 76-73=3
Current State: 43:[71, 38, 3], Operations: ['76-73=3']
Exploring Operation: 38*3=114, Resulting Numbers: [71, 114]
Generated Node #3: [71, 114] from Operation: 38*3=114
Current State: 43:[71, 114], Operations: ['76-73=3', '38*3=114']
Exploring Operation: 114-71=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
13,
21,
25,
2
] | 21 | [
"21-13=8",
"8/2=4",
"25-4=21"
] | Current State: 21:[13, 21, 25, 2], Operations: []
Exploring Operation: 21-13=8, Resulting Numbers: [25, 2, 8]
Generated Node #2: [25, 2, 8] from Operation: 21-13=8
Current State: 21:[25, 2, 8], Operations: ['21-13=8']
Exploring Operation: 8/2=4, Resulting Numbers: [25, 4]
Generated Node #3: [25, 4] from Operation: 8/2=4
Current State: 21:[25, 4], Operations: ['21-13=8', '8/2=4']
Exploring Operation: 25-4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
15,
13,
83,
22
] | 91 | [
"83+22=105",
"105/15=7",
"13*7=91"
] | Current State: 91:[15, 13, 83, 22], Operations: []
Exploring Operation: 83+22=105, Resulting Numbers: [15, 13, 105]
Generated Node #2: [15, 13, 105] from Operation: 83+22=105
Current State: 91:[15, 13, 105], Operations: ['83+22=105']
Exploring Operation: 105/15=7, Resulting Numbers: [13, 7]
Generated Node #3: [13, 7] from Operation: 105/15=7
Current State: 91:[13, 7], Operations: ['83+22=105', '105/15=7']
Exploring Operation: 13*7=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
20,
29,
60,
25
] | 41 | [
"25-20=5",
"60/5=12",
"29+12=41"
] | Current State: 41:[20, 29, 60, 25], Operations: []
Exploring Operation: 25-20=5, Resulting Numbers: [29, 60, 5]
Generated Node #2: [29, 60, 5] from Operation: 25-20=5
Current State: 41:[29, 60, 5], Operations: ['25-20=5']
Exploring Operation: 60/5=12, Resulting Numbers: [29, 12]
Generated Node #3: [29, 12] from Operation: 60/5=12
Current State: 41:[29, 12], Operations: ['25-20=5', '60/5=12']
Exploring Operation: 29+12=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
50,
8,
7,
63
] | 67 | [
"50+8=58",
"63/7=9",
"58+9=67"
] | Current State: 67:[50, 8, 7, 63], Operations: []
Exploring Operation: 50+8=58, Resulting Numbers: [7, 63, 58]
Generated Node #2: [7, 63, 58] from Operation: 50+8=58
Current State: 67:[7, 63, 58], Operations: ['50+8=58']
Exploring Operation: 63/7=9, Resulting Numbers: [58, 9]
Generated Node #3: [58, 9] from Operation: 63/7=9
Current State: 67:[58, 9], Operations: ['50+8=58', '63/7=9']
Exploring Operation: 58+9=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
23,
40,
98
] | 65 | [
"40/4=10",
"98-23=75",
"75-10=65"
] | Current State: 65:[4, 23, 40, 98], Operations: []
Exploring Operation: 40/4=10, Resulting Numbers: [23, 98, 10]
Generated Node #2: [23, 98, 10] from Operation: 40/4=10
Current State: 65:[23, 98, 10], Operations: ['40/4=10']
Exploring Operation: 98-23=75, Resulting Numbers: [10, 75]
Generated Node #3: [10, 75] from Operation: 98-23=75
Current State: 65:[10, 75], Operations: ['40/4=10', '98-23=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
74,
70,
21,
37
] | 28 | [
"74*21=1554",
"1554/37=42",
"70-42=28"
] | Current State: 28:[74, 70, 21, 37], Operations: []
Exploring Operation: 74*21=1554, Resulting Numbers: [70, 37, 1554]
Generated Node #2: [70, 37, 1554] from Operation: 74*21=1554
Current State: 28:[70, 37, 1554], Operations: ['74*21=1554']
Exploring Operation: 1554/37=42, Resulting Numbers: [70, 42]
Generated Node #3: [70, 42] from Operation: 1554/37=42
Current State: 28:[70, 42], Operations: ['74*21=1554', '1554/37=42']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
36,
87,
20,
12
] | 19 | [
"87-36=51",
"20+12=32",
"51-32=19"
] | Current State: 19:[36, 87, 20, 12], Operations: []
Exploring Operation: 87-36=51, Resulting Numbers: [20, 12, 51]
Generated Node #2: [20, 12, 51] from Operation: 87-36=51
Current State: 19:[20, 12, 51], Operations: ['87-36=51']
Exploring Operation: 20+12=32, Resulting Numbers: [51, 32]
Generated Node #3: [51, 32] from Operation: 20+12=32
Current State: 19:[51, 32], Operations: ['87-36=51', '20+12=32']
Exploring Operation: 51-32=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
31,
39,
38,
57
] | 57 | [
"57-31=26",
"39*38=1482",
"1482/26=57"
] | Current State: 57:[31, 39, 38, 57], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [39, 38, 26]
Generated Node #2: [39, 38, 26] from Operation: 57-31=26
Current State: 57:[39, 38, 26], Operations: ['57-31=26']
Exploring Operation: 39*38=1482, Resulting Numbers: [26, 1482]
Generated Node #3: [26, 1482] from Operation: 39*38=1482
Current State: 57:[26, 1482], Operations: ['57-31=26', '39*38=1482']
Exploring Operation: 1482/26=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
29,
11,
29,
31
] | 43 | [
"29/29=1",
"11+31=42",
"1+42=43"
] | Current State: 43:[29, 11, 29, 31], Operations: []
Exploring Operation: 29/29=1, Resulting Numbers: [11, 31, 1]
Generated Node #2: [11, 31, 1] from Operation: 29/29=1
Current State: 43:[11, 31, 1], Operations: ['29/29=1']
Exploring Operation: 11+31=42, Resulting Numbers: [1, 42]
Generated Node #3: [1, 42] from Operation: 11+31=42
Current State: 43:[1, 42], Operations: ['29/29=1', '11+31=42']
Exploring Operation: 1+42=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
2,
80,
60,
7
] | 40 | [
"80+60=140",
"2*140=280",
"280/7=40"
] | Current State: 40:[2, 80, 60, 7], Operations: []
Exploring Operation: 80+60=140, Resulting Numbers: [2, 7, 140]
Generated Node #2: [2, 7, 140] from Operation: 80+60=140
Current State: 40:[2, 7, 140], Operations: ['80+60=140']
Exploring Operation: 2*140=280, Resulting Numbers: [7, 280]
Generated Node #3: [7, 280] from Operation: 2*140=280
Current State: 40:[7, 280], Operations: ['80+60=140', '2*140=280']
Exploring Operation: 280/7=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
74,
18,
55,
26
] | 27 | [
"74-18=56",
"55-26=29",
"56-29=27"
] | Current State: 27:[74, 18, 55, 26], Operations: []
Exploring Operation: 74-18=56, Resulting Numbers: [55, 26, 56]
Generated Node #2: [55, 26, 56] from Operation: 74-18=56
Current State: 27:[55, 26, 56], Operations: ['74-18=56']
Exploring Operation: 55-26=29, Resulting Numbers: [56, 29]
Generated Node #3: [56, 29] from Operation: 55-26=29
Current State: 27:[56, 29], Operations: ['74-18=56', '55-26=29']
Exploring Operation: 56-29=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
31,
86,
90,
69
] | 55 | [
"90-86=4",
"31*4=124",
"124-69=55"
] | Current State: 55:[31, 86, 90, 69], Operations: []
Exploring Operation: 90-86=4, Resulting Numbers: [31, 69, 4]
Generated Node #2: [31, 69, 4] from Operation: 90-86=4
Current State: 55:[31, 69, 4], Operations: ['90-86=4']
Exploring Operation: 31*4=124, Resulting Numbers: [69, 124]
Generated Node #3: [69, 124] from Operation: 31*4=124
Current State: 55:[69, 124], Operations: ['90-86=4', '31*4=124']
Exploring Operation: 124-69=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
66,
44,
90,
39
] | 99 | [
"44*90=3960",
"3960/66=60",
"39+60=99"
] | Current State: 99:[66, 44, 90, 39], Operations: []
Exploring Operation: 44*90=3960, Resulting Numbers: [66, 39, 3960]
Generated Node #2: [66, 39, 3960] from Operation: 44*90=3960
Current State: 99:[66, 39, 3960], Operations: ['44*90=3960']
Exploring Operation: 3960/66=60, Resulting Numbers: [39, 60]
Generated Node #3: [39, 60] from Operation: 3960/66=60
Current State: 99:[39, 60], Operations: ['44*90=3960', '3960/66=60']
Exploring Operation: 39+60=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
68,
79,
93,
7
] | 96 | [
"93-68=25",
"7*25=175",
"175-79=96"
] | Current State: 96:[68, 79, 93, 7], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [79, 7, 25]
Generated Node #2: [79, 7, 25] from Operation: 93-68=25
Current State: 96:[79, 7, 25], Operations: ['93-68=25']
Exploring Operation: 7*25=175, Resulting Numbers: [79, 175]
Generated Node #3: [79, 175] from Operation: 7*25=175
Current State: 96:[79, 175], Operations: ['93-68=25', '7*25=175']
Exploring Operation: 175-79=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
49,
86,
45,
34
] | 48 | [
"86-49=37",
"45-34=11",
"37+11=48"
] | Current State: 48:[49, 86, 45, 34], Operations: []
Exploring Operation: 86-49=37, Resulting Numbers: [45, 34, 37]
Generated Node #2: [45, 34, 37] from Operation: 86-49=37
Current State: 48:[45, 34, 37], Operations: ['86-49=37']
Exploring Operation: 45-34=11, Resulting Numbers: [37, 11]
Generated Node #3: [37, 11] from Operation: 45-34=11
Current State: 48:[37, 11], Operations: ['86-49=37', '45-34=11']
Exploring Operation: 37+11=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
92,
83,
64,
37
] | 36 | [
"92-83=9",
"64-37=27",
"9+27=36"
] | Current State: 36:[92, 83, 64, 37], Operations: []
Exploring Operation: 92-83=9, Resulting Numbers: [64, 37, 9]
Generated Node #2: [64, 37, 9] from Operation: 92-83=9
Current State: 36:[64, 37, 9], Operations: ['92-83=9']
Exploring Operation: 64-37=27, Resulting Numbers: [9, 27]
Generated Node #3: [9, 27] from Operation: 64-37=27
Current State: 36:[9, 27], Operations: ['92-83=9', '64-37=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
83,
79,
57,
38
] | 99 | [
"83-79=4",
"57+38=95",
"4+95=99"
] | Current State: 99:[83, 79, 57, 38], Operations: []
Exploring Operation: 83-79=4, Resulting Numbers: [57, 38, 4]
Generated Node #2: [57, 38, 4] from Operation: 83-79=4
Current State: 99:[57, 38, 4], Operations: ['83-79=4']
Exploring Operation: 57+38=95, Resulting Numbers: [4, 95]
Generated Node #3: [4, 95] from Operation: 57+38=95
Current State: 99:[4, 95], Operations: ['83-79=4', '57+38=95']
Exploring Operation: 4+95=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
51,
99,
44,
35
] | 39 | [
"99-51=48",
"44-35=9",
"48-9=39"
] | Current State: 39:[51, 99, 44, 35], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [44, 35, 48]
Generated Node #2: [44, 35, 48] from Operation: 99-51=48
Current State: 39:[44, 35, 48], Operations: ['99-51=48']
Exploring Operation: 44-35=9, Resulting Numbers: [48, 9]
Generated Node #3: [48, 9] from Operation: 44-35=9
Current State: 39:[48, 9], Operations: ['99-51=48', '44-35=9']
Exploring Operation: 48-9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
93,
86,
55,
46
] | 49 | [
"86-55=31",
"93/31=3",
"46+3=49"
] | Current State: 49:[93, 86, 55, 46], Operations: []
Exploring Operation: 86-55=31, Resulting Numbers: [93, 46, 31]
Generated Node #2: [93, 46, 31] from Operation: 86-55=31
Current State: 49:[93, 46, 31], Operations: ['86-55=31']
Exploring Operation: 93/31=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 93/31=3
Current State: 49:[46, 3], Operations: ['86-55=31', '93/31=3']
Exploring Operation: 46+3=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
3,
39,
23,
82
] | 95 | [
"39-3=36",
"82-23=59",
"36+59=95"
] | Current State: 95:[3, 39, 23, 82], Operations: []
Exploring Operation: 39-3=36, Resulting Numbers: [23, 82, 36]
Generated Node #2: [23, 82, 36] from Operation: 39-3=36
Current State: 95:[23, 82, 36], Operations: ['39-3=36']
Exploring Operation: 82-23=59, Resulting Numbers: [36, 59]
Generated Node #3: [36, 59] from Operation: 82-23=59
Current State: 95:[36, 59], Operations: ['39-3=36', '82-23=59']
Exploring Operation: 36+59=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
31,
41,
96,
6
] | 100 | [
"41-31=10",
"96-6=90",
"10+90=100"
] | Current State: 100:[31, 41, 96, 6], Operations: []
Exploring Operation: 41-31=10, Resulting Numbers: [96, 6, 10]
Generated Node #2: [96, 6, 10] from Operation: 41-31=10
Current State: 100:[96, 6, 10], Operations: ['41-31=10']
Exploring Operation: 96-6=90, Resulting Numbers: [10, 90]
Generated Node #3: [10, 90] from Operation: 96-6=90
Current State: 100:[10, 90], Operations: ['41-31=10', '96-6=90']
Exploring Operation: 10+90=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
86,
33,
27,
36
] | 92 | [
"33-27=6",
"36/6=6",
"86+6=92"
] | Current State: 92:[86, 33, 27, 36], Operations: []
Exploring Operation: 33-27=6, Resulting Numbers: [86, 36, 6]
Generated Node #2: [86, 36, 6] from Operation: 33-27=6
Current State: 92:[86, 36, 6], Operations: ['33-27=6']
Exploring Operation: 36/6=6, Resulting Numbers: [86, 6]
Generated Node #3: [86, 6] from Operation: 36/6=6
Current State: 92:[86, 6], Operations: ['33-27=6', '36/6=6']
Exploring Operation: 86+6=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
10,
41,
71,
69
] | 21 | [
"71-69=2",
"10*2=20",
"41-20=21"
] | Current State: 21:[10, 41, 71, 69], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [10, 41, 2]
Generated Node #2: [10, 41, 2] from Operation: 71-69=2
Current State: 21:[10, 41, 2], Operations: ['71-69=2']
Exploring Operation: 10*2=20, Resulting Numbers: [41, 20]
Generated Node #3: [41, 20] from Operation: 10*2=20
Current State: 21:[41, 20], Operations: ['71-69=2', '10*2=20']
Exploring Operation: 41-20=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
42,
10,
24,
23
] | 33 | [
"42-10=32",
"24-23=1",
"32+1=33"
] | Current State: 33:[42, 10, 24, 23], Operations: []
Exploring Operation: 42-10=32, Resulting Numbers: [24, 23, 32]
Generated Node #2: [24, 23, 32] from Operation: 42-10=32
Current State: 33:[24, 23, 32], Operations: ['42-10=32']
Exploring Operation: 24-23=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 24-23=1
Current State: 33:[32, 1], Operations: ['42-10=32', '24-23=1']
Exploring Operation: 32+1=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
34,
7,
91,
3
] | 47 | [
"34+7=41",
"91-3=88",
"88-41=47"
] | Current State: 47:[34, 7, 91, 3], Operations: []
Exploring Operation: 34+7=41, Resulting Numbers: [91, 3, 41]
Generated Node #2: [91, 3, 41] from Operation: 34+7=41
Current State: 47:[91, 3, 41], Operations: ['34+7=41']
Exploring Operation: 91-3=88, Resulting Numbers: [41, 88]
Generated Node #3: [41, 88] from Operation: 91-3=88
Current State: 47:[41, 88], Operations: ['34+7=41', '91-3=88']
Exploring Operation: 88-41=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
21,
53,
62,
49
] | 21 | [
"62-53=9",
"49*9=441",
"441/21=21"
] | Current State: 21:[21, 53, 62, 49], Operations: []
Exploring Operation: 62-53=9, Resulting Numbers: [21, 49, 9]
Generated Node #2: [21, 49, 9] from Operation: 62-53=9
Current State: 21:[21, 49, 9], Operations: ['62-53=9']
Exploring Operation: 49*9=441, Resulting Numbers: [21, 441]
Generated Node #3: [21, 441] from Operation: 49*9=441
Current State: 21:[21, 441], Operations: ['62-53=9', '49*9=441']
Exploring Operation: 441/21=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
67,
26,
92,
81
] | 82 | [
"67+26=93",
"92-81=11",
"93-11=82"
] | Current State: 82:[67, 26, 92, 81], Operations: []
Exploring Operation: 67+26=93, Resulting Numbers: [92, 81, 93]
Generated Node #2: [92, 81, 93] from Operation: 67+26=93
Current State: 82:[92, 81, 93], Operations: ['67+26=93']
Exploring Operation: 92-81=11, Resulting Numbers: [93, 11]
Generated Node #3: [93, 11] from Operation: 92-81=11
Current State: 82:[93, 11], Operations: ['67+26=93', '92-81=11']
Exploring Operation: 93-11=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
60,
7,
41,
96
] | 30 | [
"7+41=48",
"60*48=2880",
"2880/96=30"
] | Current State: 30:[60, 7, 41, 96], Operations: []
Exploring Operation: 7+41=48, Resulting Numbers: [60, 96, 48]
Generated Node #2: [60, 96, 48] from Operation: 7+41=48
Current State: 30:[60, 96, 48], Operations: ['7+41=48']
Exploring Operation: 60*48=2880, Resulting Numbers: [96, 2880]
Generated Node #3: [96, 2880] from Operation: 60*48=2880
Current State: 30:[96, 2880], Operations: ['7+41=48', '60*48=2880']
Exploring Operation: 2880/96=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
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