nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
65,
27,
76,
16
] | 14 | [
"65-27=38",
"76/38=2",
"16-2=14"
] | Current State: 14:[65, 27, 76, 16], Operations: []
Exploring Operation: 65-27=38, Resulting Numbers: [76, 16, 38]
Generated Node #2: [76, 16, 38] from Operation: 65-27=38
Current State: 14:[76, 16, 38], Operations: ['65-27=38']
Exploring Operation: 76/38=2, Resulting Numbers: [16, 2]
Generated Node #3: [16, 2] from Operation: 76/38=2
Current State: 14:[16, 2], Operations: ['65-27=38', '76/38=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
99,
55,
35,
90
] | 22 | [
"55-35=20",
"99*20=1980",
"1980/90=22"
] | Current State: 22:[99, 55, 35, 90], Operations: []
Exploring Operation: 55-35=20, Resulting Numbers: [99, 90, 20]
Generated Node #2: [99, 90, 20] from Operation: 55-35=20
Current State: 22:[99, 90, 20], Operations: ['55-35=20']
Exploring Operation: 99*20=1980, Resulting Numbers: [90, 1980]
Generated Node #3: [90, 1980] from Operation: 99*20=1980
Current State: 22:[90, 1980], Operations: ['55-35=20', '99*20=1980']
Exploring Operation: 1980/90=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
74,
5,
38,
77
] | 97 | [
"38+77=115",
"115/5=23",
"74+23=97"
] | Current State: 97:[74, 5, 38, 77], Operations: []
Exploring Operation: 38+77=115, Resulting Numbers: [74, 5, 115]
Generated Node #2: [74, 5, 115] from Operation: 38+77=115
Current State: 97:[74, 5, 115], Operations: ['38+77=115']
Exploring Operation: 115/5=23, Resulting Numbers: [74, 23]
Generated Node #3: [74, 23] from Operation: 115/5=23
Current State: 97:[74, 23], Operations: ['38+77=115', '115/5=23']
Exploring Operation: 74+23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
43,
39,
57,
4
] | 64 | [
"43+57=100",
"100/4=25",
"39+25=64"
] | Current State: 64:[43, 39, 57, 4], Operations: []
Exploring Operation: 43+57=100, Resulting Numbers: [39, 4, 100]
Generated Node #2: [39, 4, 100] from Operation: 43+57=100
Current State: 64:[39, 4, 100], Operations: ['43+57=100']
Exploring Operation: 100/4=25, Resulting Numbers: [39, 25]
Generated Node #3: [39, 25] from Operation: 100/4=25
Current State: 64:[39, 25], Operations: ['43+57=100', '100/4=25']
Exploring Operation: 39+25=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
57,
31,
14
] | 24 | [
"57-31=26",
"26-14=12",
"2*12=24"
] | Current State: 24:[2, 57, 31, 14], Operations: []
Exploring Operation: 57-31=26, Resulting Numbers: [2, 14, 26]
Generated Node #2: [2, 14, 26] from Operation: 57-31=26
Current State: 24:[2, 14, 26], Operations: ['57-31=26']
Exploring Operation: 26-14=12, Resulting Numbers: [2, 12]
Generated Node #3: [2, 12] from Operation: 26-14=12
Current State: 24:[2, 12], Operations: ['57-31=26', '26-14=12']
Exploring Operation: 2*12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
61,
5,
7,
49
] | 75 | [
"61+49=110",
"5*7=35",
"110-35=75"
] | Current State: 75:[61, 5, 7, 49], Operations: []
Exploring Operation: 61+49=110, Resulting Numbers: [5, 7, 110]
Generated Node #2: [5, 7, 110] from Operation: 61+49=110
Current State: 75:[5, 7, 110], Operations: ['61+49=110']
Exploring Operation: 5*7=35, Resulting Numbers: [110, 35]
Generated Node #3: [110, 35] from Operation: 5*7=35
Current State: 75:[110, 35], Operations: ['61+49=110', '5*7=35']
Exploring Operation: 110-35=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
80,
33,
76,
85
] | 71 | [
"80+85=165",
"165/33=5",
"76-5=71"
] | Current State: 71:[80, 33, 76, 85], Operations: []
Exploring Operation: 80+85=165, Resulting Numbers: [33, 76, 165]
Generated Node #2: [33, 76, 165] from Operation: 80+85=165
Current State: 71:[33, 76, 165], Operations: ['80+85=165']
Exploring Operation: 165/33=5, Resulting Numbers: [76, 5]
Generated Node #3: [76, 5] from Operation: 165/33=5
Current State: 71:[76, 5], Operations: ['80+85=165', '165/33=5']
Exploring Operation: 76-5=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
11,
37,
2,
74
] | 22 | [
"11+37=48",
"2*48=96",
"96-74=22"
] | Current State: 22:[11, 37, 2, 74], Operations: []
Exploring Operation: 11+37=48, Resulting Numbers: [2, 74, 48]
Generated Node #2: [2, 74, 48] from Operation: 11+37=48
Current State: 22:[2, 74, 48], Operations: ['11+37=48']
Exploring Operation: 2*48=96, Resulting Numbers: [74, 96]
Generated Node #3: [74, 96] from Operation: 2*48=96
Current State: 22:[74, 96], Operations: ['11+37=48', '2*48=96']
Exploring Operation: 96-74=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
54,
20,
3,
9
] | 90 | [
"54*20=1080",
"3+9=12",
"1080/12=90"
] | Current State: 90:[54, 20, 3, 9], Operations: []
Exploring Operation: 54*20=1080, Resulting Numbers: [3, 9, 1080]
Generated Node #2: [3, 9, 1080] from Operation: 54*20=1080
Current State: 90:[3, 9, 1080], Operations: ['54*20=1080']
Exploring Operation: 3+9=12, Resulting Numbers: [1080, 12]
Generated Node #3: [1080, 12] from Operation: 3+9=12
Current State: 90:[1080, 12], Operations: ['54*20=1080', '3+9=12']
Exploring Operation: 1080/12=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
69,
24,
3,
12
] | 36 | [
"69-24=45",
"12-3=9",
"45-9=36"
] | Current State: 36:[69, 24, 3, 12], Operations: []
Exploring Operation: 69-24=45, Resulting Numbers: [3, 12, 45]
Generated Node #2: [3, 12, 45] from Operation: 69-24=45
Current State: 36:[3, 12, 45], Operations: ['69-24=45']
Exploring Operation: 12-3=9, Resulting Numbers: [45, 9]
Generated Node #3: [45, 9] from Operation: 12-3=9
Current State: 36:[45, 9], Operations: ['69-24=45', '12-3=9']
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
19,
57,
68,
12
] | 20 | [
"19+57=76",
"68-12=56",
"76-56=20"
] | Current State: 20:[19, 57, 68, 12], Operations: []
Exploring Operation: 19+57=76, Resulting Numbers: [68, 12, 76]
Generated Node #2: [68, 12, 76] from Operation: 19+57=76
Current State: 20:[68, 12, 76], Operations: ['19+57=76']
Exploring Operation: 68-12=56, Resulting Numbers: [76, 56]
Generated Node #3: [76, 56] from Operation: 68-12=56
Current State: 20:[76, 56], Operations: ['19+57=76', '68-12=56']
Exploring Operation: 76-56=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
40,
18,
5,
32
] | 22 | [
"40/5=8",
"32-18=14",
"8+14=22"
] | Current State: 22:[40, 18, 5, 32], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [18, 32, 8]
Generated Node #2: [18, 32, 8] from Operation: 40/5=8
Current State: 22:[18, 32, 8], Operations: ['40/5=8']
Exploring Operation: 32-18=14, Resulting Numbers: [8, 14]
Generated Node #3: [8, 14] from Operation: 32-18=14
Current State: 22:[8, 14], Operations: ['40/5=8', '32-18=14']
Exploring Operation: 8+14=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
29,
60,
17,
6
] | 10 | [
"29-17=12",
"12-6=6",
"60/6=10"
] | Current State: 10:[29, 60, 17, 6], Operations: []
Exploring Operation: 29-17=12, Resulting Numbers: [60, 6, 12]
Generated Node #2: [60, 6, 12] from Operation: 29-17=12
Current State: 10:[60, 6, 12], Operations: ['29-17=12']
Exploring Operation: 12-6=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 12-6=6
Current State: 10:[60, 6], Operations: ['29-17=12', '12-6=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
26,
67,
40,
88
] | 45 | [
"26+67=93",
"88-40=48",
"93-48=45"
] | Current State: 45:[26, 67, 40, 88], Operations: []
Exploring Operation: 26+67=93, Resulting Numbers: [40, 88, 93]
Generated Node #2: [40, 88, 93] from Operation: 26+67=93
Current State: 45:[40, 88, 93], Operations: ['26+67=93']
Exploring Operation: 88-40=48, Resulting Numbers: [93, 48]
Generated Node #3: [93, 48] from Operation: 88-40=48
Current State: 45:[93, 48], Operations: ['26+67=93', '88-40=48']
Exploring Operation: 93-48=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
59,
65,
54,
96
] | 70 | [
"65-59=6",
"96/6=16",
"54+16=70"
] | Current State: 70:[59, 65, 54, 96], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [54, 96, 6]
Generated Node #2: [54, 96, 6] from Operation: 65-59=6
Current State: 70:[54, 96, 6], Operations: ['65-59=6']
Exploring Operation: 96/6=16, Resulting Numbers: [54, 16]
Generated Node #3: [54, 16] from Operation: 96/6=16
Current State: 70:[54, 16], Operations: ['65-59=6', '96/6=16']
Exploring Operation: 54+16=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
70,
12,
81,
35
] | 97 | [
"81-70=11",
"12*11=132",
"132-35=97"
] | Current State: 97:[70, 12, 81, 35], Operations: []
Exploring Operation: 81-70=11, Resulting Numbers: [12, 35, 11]
Generated Node #2: [12, 35, 11] from Operation: 81-70=11
Current State: 97:[12, 35, 11], Operations: ['81-70=11']
Exploring Operation: 12*11=132, Resulting Numbers: [35, 132]
Generated Node #3: [35, 132] from Operation: 12*11=132
Current State: 97:[35, 132], Operations: ['81-70=11', '12*11=132']
Exploring Operation: 132-35=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
49,
46,
68,
98
] | 24 | [
"98/49=2",
"68-46=22",
"2+22=24"
] | Current State: 24:[49, 46, 68, 98], Operations: []
Exploring Operation: 98/49=2, Resulting Numbers: [46, 68, 2]
Generated Node #2: [46, 68, 2] from Operation: 98/49=2
Current State: 24:[46, 68, 2], Operations: ['98/49=2']
Exploring Operation: 68-46=22, Resulting Numbers: [2, 22]
Generated Node #3: [2, 22] from Operation: 68-46=22
Current State: 24:[2, 22], Operations: ['98/49=2', '68-46=22']
Exploring Operation: 2+22=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
38,
66,
6,
67
] | 21 | [
"66+67=133",
"6*133=798",
"798/38=21"
] | Current State: 21:[38, 66, 6, 67], Operations: []
Exploring Operation: 66+67=133, Resulting Numbers: [38, 6, 133]
Generated Node #2: [38, 6, 133] from Operation: 66+67=133
Current State: 21:[38, 6, 133], Operations: ['66+67=133']
Exploring Operation: 6*133=798, Resulting Numbers: [38, 798]
Generated Node #3: [38, 798] from Operation: 6*133=798
Current State: 21:[38, 798], Operations: ['66+67=133', '6*133=798']
Exploring Operation: 798/38=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
32,
29,
13,
49
] | 88 | [
"32-29=3",
"13*3=39",
"49+39=88"
] | Current State: 88:[32, 29, 13, 49], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [13, 49, 3]
Generated Node #2: [13, 49, 3] from Operation: 32-29=3
Current State: 88:[13, 49, 3], Operations: ['32-29=3']
Exploring Operation: 13*3=39, Resulting Numbers: [49, 39]
Generated Node #3: [49, 39] from Operation: 13*3=39
Current State: 88:[49, 39], Operations: ['32-29=3', '13*3=39']
Exploring Operation: 49+39=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
29,
36,
15,
22
] | 83 | [
"36-29=7",
"15*7=105",
"105-22=83"
] | Current State: 83:[29, 36, 15, 22], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [15, 22, 7]
Generated Node #2: [15, 22, 7] from Operation: 36-29=7
Current State: 83:[15, 22, 7], Operations: ['36-29=7']
Exploring Operation: 15*7=105, Resulting Numbers: [22, 105]
Generated Node #3: [22, 105] from Operation: 15*7=105
Current State: 83:[22, 105], Operations: ['36-29=7', '15*7=105']
Exploring Operation: 105-22=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
36,
74,
67,
49
] | 53 | [
"36*74=2664",
"2664-67=2597",
"2597/49=53"
] | Current State: 53:[36, 74, 67, 49], Operations: []
Exploring Operation: 36*74=2664, Resulting Numbers: [67, 49, 2664]
Generated Node #2: [67, 49, 2664] from Operation: 36*74=2664
Current State: 53:[67, 49, 2664], Operations: ['36*74=2664']
Exploring Operation: 2664-67=2597, Resulting Numbers: [49, 2597]
Generated Node #3: [49, 2597] from Operation: 2664-67=2597
Current State: 53:[49, 2597], Operations: ['36*74=2664', '2664-67=2597']
Exploring Operation: 2597/49=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
63,
28,
44,
77
] | 86 | [
"63-28=35",
"44+77=121",
"121-35=86"
] | Current State: 86:[63, 28, 44, 77], Operations: []
Exploring Operation: 63-28=35, Resulting Numbers: [44, 77, 35]
Generated Node #2: [44, 77, 35] from Operation: 63-28=35
Current State: 86:[44, 77, 35], Operations: ['63-28=35']
Exploring Operation: 44+77=121, Resulting Numbers: [35, 121]
Generated Node #3: [35, 121] from Operation: 44+77=121
Current State: 86:[35, 121], Operations: ['63-28=35', '44+77=121']
Exploring Operation: 121-35=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
39,
97,
40
] | 57 | [
"39+97=136",
"136/8=17",
"40+17=57"
] | Current State: 57:[8, 39, 97, 40], Operations: []
Exploring Operation: 39+97=136, Resulting Numbers: [8, 40, 136]
Generated Node #2: [8, 40, 136] from Operation: 39+97=136
Current State: 57:[8, 40, 136], Operations: ['39+97=136']
Exploring Operation: 136/8=17, Resulting Numbers: [40, 17]
Generated Node #3: [40, 17] from Operation: 136/8=17
Current State: 57:[40, 17], Operations: ['39+97=136', '136/8=17']
Exploring Operation: 40+17=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
50,
8,
99,
13
] | 57 | [
"99-8=91",
"91/13=7",
"50+7=57"
] | Current State: 57:[50, 8, 99, 13], Operations: []
Exploring Operation: 99-8=91, Resulting Numbers: [50, 13, 91]
Generated Node #2: [50, 13, 91] from Operation: 99-8=91
Current State: 57:[50, 13, 91], Operations: ['99-8=91']
Exploring Operation: 91/13=7, Resulting Numbers: [50, 7]
Generated Node #3: [50, 7] from Operation: 91/13=7
Current State: 57:[50, 7], Operations: ['99-8=91', '91/13=7']
Exploring Operation: 50+7=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
81,
86,
6,
98
] | 99 | [
"86-81=5",
"6+98=104",
"104-5=99"
] | Current State: 99:[81, 86, 6, 98], Operations: []
Exploring Operation: 86-81=5, Resulting Numbers: [6, 98, 5]
Generated Node #2: [6, 98, 5] from Operation: 86-81=5
Current State: 99:[6, 98, 5], Operations: ['86-81=5']
Exploring Operation: 6+98=104, Resulting Numbers: [5, 104]
Generated Node #3: [5, 104] from Operation: 6+98=104
Current State: 99:[5, 104], Operations: ['86-81=5', '6+98=104']
Exploring Operation: 104-5=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
98,
45,
93,
44
] | 35 | [
"98-93=5",
"45/5=9",
"44-9=35"
] | Current State: 35:[98, 45, 93, 44], Operations: []
Exploring Operation: 98-93=5, Resulting Numbers: [45, 44, 5]
Generated Node #2: [45, 44, 5] from Operation: 98-93=5
Current State: 35:[45, 44, 5], Operations: ['98-93=5']
Exploring Operation: 45/5=9, Resulting Numbers: [44, 9]
Generated Node #3: [44, 9] from Operation: 45/5=9
Current State: 35:[44, 9], Operations: ['98-93=5', '45/5=9']
Exploring Operation: 44-9=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
21,
42,
12,
84
] | 75 | [
"42-21=21",
"12+84=96",
"96-21=75"
] | Current State: 75:[21, 42, 12, 84], Operations: []
Exploring Operation: 42-21=21, Resulting Numbers: [12, 84, 21]
Generated Node #2: [12, 84, 21] from Operation: 42-21=21
Current State: 75:[12, 84, 21], Operations: ['42-21=21']
Exploring Operation: 12+84=96, Resulting Numbers: [21, 96]
Generated Node #3: [21, 96] from Operation: 12+84=96
Current State: 75:[21, 96], Operations: ['42-21=21', '12+84=96']
Exploring Operation: 96-21=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
71,
27,
37,
17
] | 99 | [
"37-27=10",
"17*10=170",
"170-71=99"
] | Current State: 99:[71, 27, 37, 17], Operations: []
Exploring Operation: 37-27=10, Resulting Numbers: [71, 17, 10]
Generated Node #2: [71, 17, 10] from Operation: 37-27=10
Current State: 99:[71, 17, 10], Operations: ['37-27=10']
Exploring Operation: 17*10=170, Resulting Numbers: [71, 170]
Generated Node #3: [71, 170] from Operation: 17*10=170
Current State: 99:[71, 170], Operations: ['37-27=10', '17*10=170']
Exploring Operation: 170-71=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
2,
1,
57,
32
] | 12 | [
"57-1=56",
"56-32=24",
"24/2=12"
] | Current State: 12:[2, 1, 57, 32], Operations: []
Exploring Operation: 57-1=56, Resulting Numbers: [2, 32, 56]
Generated Node #2: [2, 32, 56] from Operation: 57-1=56
Current State: 12:[2, 32, 56], Operations: ['57-1=56']
Exploring Operation: 56-32=24, Resulting Numbers: [2, 24]
Generated Node #3: [2, 24] from Operation: 56-32=24
Current State: 12:[2, 24], Operations: ['57-1=56', '56-32=24']
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
20,
85,
22,
87
] | 86 | [
"22-20=2",
"85+87=172",
"172/2=86"
] | Current State: 86:[20, 85, 22, 87], Operations: []
Exploring Operation: 22-20=2, Resulting Numbers: [85, 87, 2]
Generated Node #2: [85, 87, 2] from Operation: 22-20=2
Current State: 86:[85, 87, 2], Operations: ['22-20=2']
Exploring Operation: 85+87=172, Resulting Numbers: [2, 172]
Generated Node #3: [2, 172] from Operation: 85+87=172
Current State: 86:[2, 172], Operations: ['22-20=2', '85+87=172']
Exploring Operation: 172/2=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
44,
22,
90,
10
] | 98 | [
"44/22=2",
"90+10=100",
"100-2=98"
] | Current State: 98:[44, 22, 90, 10], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [90, 10, 2]
Generated Node #2: [90, 10, 2] from Operation: 44/22=2
Current State: 98:[90, 10, 2], Operations: ['44/22=2']
Exploring Operation: 90+10=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 90+10=100
Current State: 98:[2, 100], Operations: ['44/22=2', '90+10=100']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
30,
63,
88,
50
] | 60 | [
"30*50=1500",
"88-63=25",
"1500/25=60"
] | Current State: 60:[30, 63, 88, 50], Operations: []
Exploring Operation: 30*50=1500, Resulting Numbers: [63, 88, 1500]
Generated Node #2: [63, 88, 1500] from Operation: 30*50=1500
Current State: 60:[63, 88, 1500], Operations: ['30*50=1500']
Exploring Operation: 88-63=25, Resulting Numbers: [1500, 25]
Generated Node #3: [1500, 25] from Operation: 88-63=25
Current State: 60:[1500, 25], Operations: ['30*50=1500', '88-63=25']
Exploring Operation: 1500/25=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
62,
85,
74,
3
] | 100 | [
"85-62=23",
"74+3=77",
"23+77=100"
] | Current State: 100:[62, 85, 74, 3], Operations: []
Exploring Operation: 85-62=23, Resulting Numbers: [74, 3, 23]
Generated Node #2: [74, 3, 23] from Operation: 85-62=23
Current State: 100:[74, 3, 23], Operations: ['85-62=23']
Exploring Operation: 74+3=77, Resulting Numbers: [23, 77]
Generated Node #3: [23, 77] from Operation: 74+3=77
Current State: 100:[23, 77], Operations: ['85-62=23', '74+3=77']
Exploring Operation: 23+77=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
63,
3,
54,
48
] | 81 | [
"63/3=21",
"54+48=102",
"102-21=81"
] | Current State: 81:[63, 3, 54, 48], Operations: []
Exploring Operation: 63/3=21, Resulting Numbers: [54, 48, 21]
Generated Node #2: [54, 48, 21] from Operation: 63/3=21
Current State: 81:[54, 48, 21], Operations: ['63/3=21']
Exploring Operation: 54+48=102, Resulting Numbers: [21, 102]
Generated Node #3: [21, 102] from Operation: 54+48=102
Current State: 81:[21, 102], Operations: ['63/3=21', '54+48=102']
Exploring Operation: 102-21=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
78,
76,
3,
81
] | 76 | [
"78+76=154",
"81-3=78",
"154-78=76"
] | Current State: 76:[78, 76, 3, 81], Operations: []
Exploring Operation: 78+76=154, Resulting Numbers: [3, 81, 154]
Generated Node #2: [3, 81, 154] from Operation: 78+76=154
Current State: 76:[3, 81, 154], Operations: ['78+76=154']
Exploring Operation: 81-3=78, Resulting Numbers: [154, 78]
Generated Node #3: [154, 78] from Operation: 81-3=78
Current State: 76:[154, 78], Operations: ['78+76=154', '81-3=78']
Exploring Operation: 154-78=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
76,
10,
29,
1
] | 95 | [
"76-10=66",
"29*1=29",
"66+29=95"
] | Current State: 95:[76, 10, 29, 1], Operations: []
Exploring Operation: 76-10=66, Resulting Numbers: [29, 1, 66]
Generated Node #2: [29, 1, 66] from Operation: 76-10=66
Current State: 95:[29, 1, 66], Operations: ['76-10=66']
Exploring Operation: 29*1=29, Resulting Numbers: [66, 29]
Generated Node #3: [66, 29] from Operation: 29*1=29
Current State: 95:[66, 29], Operations: ['76-10=66', '29*1=29']
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
54,
63,
68,
81
] | 77 | [
"63-54=9",
"81/9=9",
"68+9=77"
] | Current State: 77:[54, 63, 68, 81], Operations: []
Exploring Operation: 63-54=9, Resulting Numbers: [68, 81, 9]
Generated Node #2: [68, 81, 9] from Operation: 63-54=9
Current State: 77:[68, 81, 9], Operations: ['63-54=9']
Exploring Operation: 81/9=9, Resulting Numbers: [68, 9]
Generated Node #3: [68, 9] from Operation: 81/9=9
Current State: 77:[68, 9], Operations: ['63-54=9', '81/9=9']
Exploring Operation: 68+9=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
34,
5,
25,
84
] | 80 | [
"34-5=29",
"25+84=109",
"109-29=80"
] | Current State: 80:[34, 5, 25, 84], Operations: []
Exploring Operation: 34-5=29, Resulting Numbers: [25, 84, 29]
Generated Node #2: [25, 84, 29] from Operation: 34-5=29
Current State: 80:[25, 84, 29], Operations: ['34-5=29']
Exploring Operation: 25+84=109, Resulting Numbers: [29, 109]
Generated Node #3: [29, 109] from Operation: 25+84=109
Current State: 80:[29, 109], Operations: ['34-5=29', '25+84=109']
Exploring Operation: 109-29=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
13,
23,
25,
88
] | 27 | [
"13+23=36",
"88-25=63",
"63-36=27"
] | Current State: 27:[13, 23, 25, 88], Operations: []
Exploring Operation: 13+23=36, Resulting Numbers: [25, 88, 36]
Generated Node #2: [25, 88, 36] from Operation: 13+23=36
Current State: 27:[25, 88, 36], Operations: ['13+23=36']
Exploring Operation: 88-25=63, Resulting Numbers: [36, 63]
Generated Node #3: [36, 63] from Operation: 88-25=63
Current State: 27:[36, 63], Operations: ['13+23=36', '88-25=63']
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
81,
25,
54,
84
] | 32 | [
"81+25=106",
"54+84=138",
"138-106=32"
] | Current State: 32:[81, 25, 54, 84], Operations: []
Exploring Operation: 81+25=106, Resulting Numbers: [54, 84, 106]
Generated Node #2: [54, 84, 106] from Operation: 81+25=106
Current State: 32:[54, 84, 106], Operations: ['81+25=106']
Exploring Operation: 54+84=138, Resulting Numbers: [106, 138]
Generated Node #3: [106, 138] from Operation: 54+84=138
Current State: 32:[106, 138], Operations: ['81+25=106', '54+84=138']
Exploring Operation: 138-106=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
56,
17,
58,
42
] | 61 | [
"56-17=39",
"58+42=100",
"100-39=61"
] | Current State: 61:[56, 17, 58, 42], Operations: []
Exploring Operation: 56-17=39, Resulting Numbers: [58, 42, 39]
Generated Node #2: [58, 42, 39] from Operation: 56-17=39
Current State: 61:[58, 42, 39], Operations: ['56-17=39']
Exploring Operation: 58+42=100, Resulting Numbers: [39, 100]
Generated Node #3: [39, 100] from Operation: 58+42=100
Current State: 61:[39, 100], Operations: ['56-17=39', '58+42=100']
Exploring Operation: 100-39=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
48,
72,
20,
40
] | 84 | [
"72-48=24",
"20+40=60",
"24+60=84"
] | Current State: 84:[48, 72, 20, 40], Operations: []
Exploring Operation: 72-48=24, Resulting Numbers: [20, 40, 24]
Generated Node #2: [20, 40, 24] from Operation: 72-48=24
Current State: 84:[20, 40, 24], Operations: ['72-48=24']
Exploring Operation: 20+40=60, Resulting Numbers: [24, 60]
Generated Node #3: [24, 60] from Operation: 20+40=60
Current State: 84:[24, 60], Operations: ['72-48=24', '20+40=60']
Exploring Operation: 24+60=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
10,
43,
8,
5
] | 94 | [
"10*43=430",
"430/5=86",
"8+86=94"
] | Current State: 94:[10, 43, 8, 5], Operations: []
Exploring Operation: 10*43=430, Resulting Numbers: [8, 5, 430]
Generated Node #2: [8, 5, 430] from Operation: 10*43=430
Current State: 94:[8, 5, 430], Operations: ['10*43=430']
Exploring Operation: 430/5=86, Resulting Numbers: [8, 86]
Generated Node #3: [8, 86] from Operation: 430/5=86
Current State: 94:[8, 86], Operations: ['10*43=430', '430/5=86']
Exploring Operation: 8+86=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
97,
38,
83,
72
] | 96 | [
"97-38=59",
"83+72=155",
"155-59=96"
] | Current State: 96:[97, 38, 83, 72], Operations: []
Exploring Operation: 97-38=59, Resulting Numbers: [83, 72, 59]
Generated Node #2: [83, 72, 59] from Operation: 97-38=59
Current State: 96:[83, 72, 59], Operations: ['97-38=59']
Exploring Operation: 83+72=155, Resulting Numbers: [59, 155]
Generated Node #3: [59, 155] from Operation: 83+72=155
Current State: 96:[59, 155], Operations: ['97-38=59', '83+72=155']
Exploring Operation: 155-59=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
65,
64,
35,
76
] | 88 | [
"65+64=129",
"76-35=41",
"129-41=88"
] | Current State: 88:[65, 64, 35, 76], Operations: []
Exploring Operation: 65+64=129, Resulting Numbers: [35, 76, 129]
Generated Node #2: [35, 76, 129] from Operation: 65+64=129
Current State: 88:[35, 76, 129], Operations: ['65+64=129']
Exploring Operation: 76-35=41, Resulting Numbers: [129, 41]
Generated Node #3: [129, 41] from Operation: 76-35=41
Current State: 88:[129, 41], Operations: ['65+64=129', '76-35=41']
Exploring Operation: 129-41=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
14,
10,
48,
96
] | 18 | [
"14*96=1344",
"1344/48=28",
"28-10=18"
] | Current State: 18:[14, 10, 48, 96], Operations: []
Exploring Operation: 14*96=1344, Resulting Numbers: [10, 48, 1344]
Generated Node #2: [10, 48, 1344] from Operation: 14*96=1344
Current State: 18:[10, 48, 1344], Operations: ['14*96=1344']
Exploring Operation: 1344/48=28, Resulting Numbers: [10, 28]
Generated Node #3: [10, 28] from Operation: 1344/48=28
Current State: 18:[10, 28], Operations: ['14*96=1344', '1344/48=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
98,
6,
39,
45
] | 84 | [
"98-39=59",
"59-45=14",
"6*14=84"
] | Current State: 84:[98, 6, 39, 45], Operations: []
Exploring Operation: 98-39=59, Resulting Numbers: [6, 45, 59]
Generated Node #2: [6, 45, 59] from Operation: 98-39=59
Current State: 84:[6, 45, 59], Operations: ['98-39=59']
Exploring Operation: 59-45=14, Resulting Numbers: [6, 14]
Generated Node #3: [6, 14] from Operation: 59-45=14
Current State: 84:[6, 14], Operations: ['98-39=59', '59-45=14']
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
24,
80,
47,
16
] | 18 | [
"47-24=23",
"80/16=5",
"23-5=18"
] | Current State: 18:[24, 80, 47, 16], Operations: []
Exploring Operation: 47-24=23, Resulting Numbers: [80, 16, 23]
Generated Node #2: [80, 16, 23] from Operation: 47-24=23
Current State: 18:[80, 16, 23], Operations: ['47-24=23']
Exploring Operation: 80/16=5, Resulting Numbers: [23, 5]
Generated Node #3: [23, 5] from Operation: 80/16=5
Current State: 18:[23, 5], Operations: ['47-24=23', '80/16=5']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
5,
25,
7,
6
] | 98 | [
"25-5=20",
"20-6=14",
"7*14=98"
] | Current State: 98:[5, 25, 7, 6], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [7, 6, 20]
Generated Node #2: [7, 6, 20] from Operation: 25-5=20
Current State: 98:[7, 6, 20], Operations: ['25-5=20']
Exploring Operation: 20-6=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 20-6=14
Current State: 98:[7, 14], Operations: ['25-5=20', '20-6=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
37,
33,
20,
73
] | 23 | [
"37+33=70",
"20+73=93",
"93-70=23"
] | Current State: 23:[37, 33, 20, 73], Operations: []
Exploring Operation: 37+33=70, Resulting Numbers: [20, 73, 70]
Generated Node #2: [20, 73, 70] from Operation: 37+33=70
Current State: 23:[20, 73, 70], Operations: ['37+33=70']
Exploring Operation: 20+73=93, Resulting Numbers: [70, 93]
Generated Node #3: [70, 93] from Operation: 20+73=93
Current State: 23:[70, 93], Operations: ['37+33=70', '20+73=93']
Exploring Operation: 93-70=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
2,
63,
7,
89
] | 20 | [
"89-63=26",
"26/2=13",
"7+13=20"
] | Current State: 20:[2, 63, 7, 89], Operations: []
Exploring Operation: 89-63=26, Resulting Numbers: [2, 7, 26]
Generated Node #2: [2, 7, 26] from Operation: 89-63=26
Current State: 20:[2, 7, 26], Operations: ['89-63=26']
Exploring Operation: 26/2=13, Resulting Numbers: [7, 13]
Generated Node #3: [7, 13] from Operation: 26/2=13
Current State: 20:[7, 13], Operations: ['89-63=26', '26/2=13']
Exploring Operation: 7+13=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
65,
68,
23,
45
] | 65 | [
"65+68=133",
"23+45=68",
"133-68=65"
] | Current State: 65:[65, 68, 23, 45], Operations: []
Exploring Operation: 65+68=133, Resulting Numbers: [23, 45, 133]
Generated Node #2: [23, 45, 133] from Operation: 65+68=133
Current State: 65:[23, 45, 133], Operations: ['65+68=133']
Exploring Operation: 23+45=68, Resulting Numbers: [133, 68]
Generated Node #3: [133, 68] from Operation: 23+45=68
Current State: 65:[133, 68], Operations: ['65+68=133', '23+45=68']
Exploring Operation: 133-68=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
6,
90,
27,
16
] | 88 | [
"6*27=162",
"90-16=74",
"162-74=88"
] | Current State: 88:[6, 90, 27, 16], Operations: []
Exploring Operation: 6*27=162, Resulting Numbers: [90, 16, 162]
Generated Node #2: [90, 16, 162] from Operation: 6*27=162
Current State: 88:[90, 16, 162], Operations: ['6*27=162']
Exploring Operation: 90-16=74, Resulting Numbers: [162, 74]
Generated Node #3: [162, 74] from Operation: 90-16=74
Current State: 88:[162, 74], Operations: ['6*27=162', '90-16=74']
Exploring Operation: 162-74=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
60,
61,
8,
12
] | 84 | [
"61-60=1",
"8-1=7",
"12*7=84"
] | Current State: 84:[60, 61, 8, 12], Operations: []
Exploring Operation: 61-60=1, Resulting Numbers: [8, 12, 1]
Generated Node #2: [8, 12, 1] from Operation: 61-60=1
Current State: 84:[8, 12, 1], Operations: ['61-60=1']
Exploring Operation: 8-1=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 8-1=7
Current State: 84:[12, 7], Operations: ['61-60=1', '8-1=7']
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
64,
99,
90,
80
] | 45 | [
"99-64=35",
"90-80=10",
"35+10=45"
] | Current State: 45:[64, 99, 90, 80], Operations: []
Exploring Operation: 99-64=35, Resulting Numbers: [90, 80, 35]
Generated Node #2: [90, 80, 35] from Operation: 99-64=35
Current State: 45:[90, 80, 35], Operations: ['99-64=35']
Exploring Operation: 90-80=10, Resulting Numbers: [35, 10]
Generated Node #3: [35, 10] from Operation: 90-80=10
Current State: 45:[35, 10], Operations: ['99-64=35', '90-80=10']
Exploring Operation: 35+10=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
12,
4,
14,
98
] | 96 | [
"12+4=16",
"14+98=112",
"112-16=96"
] | Current State: 96:[12, 4, 14, 98], Operations: []
Exploring Operation: 12+4=16, Resulting Numbers: [14, 98, 16]
Generated Node #2: [14, 98, 16] from Operation: 12+4=16
Current State: 96:[14, 98, 16], Operations: ['12+4=16']
Exploring Operation: 14+98=112, Resulting Numbers: [16, 112]
Generated Node #3: [16, 112] from Operation: 14+98=112
Current State: 96:[16, 112], Operations: ['12+4=16', '14+98=112']
Exploring Operation: 112-16=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
55,
29,
5,
42
] | 82 | [
"55/5=11",
"29+42=71",
"11+71=82"
] | Current State: 82:[55, 29, 5, 42], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [29, 42, 11]
Generated Node #2: [29, 42, 11] from Operation: 55/5=11
Current State: 82:[29, 42, 11], Operations: ['55/5=11']
Exploring Operation: 29+42=71, Resulting Numbers: [11, 71]
Generated Node #3: [11, 71] from Operation: 29+42=71
Current State: 82:[11, 71], Operations: ['55/5=11', '29+42=71']
Exploring Operation: 11+71=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
88,
34,
24,
2
] | 28 | [
"88-34=54",
"24+2=26",
"54-26=28"
] | Current State: 28:[88, 34, 24, 2], Operations: []
Exploring Operation: 88-34=54, Resulting Numbers: [24, 2, 54]
Generated Node #2: [24, 2, 54] from Operation: 88-34=54
Current State: 28:[24, 2, 54], Operations: ['88-34=54']
Exploring Operation: 24+2=26, Resulting Numbers: [54, 26]
Generated Node #3: [54, 26] from Operation: 24+2=26
Current State: 28:[54, 26], Operations: ['88-34=54', '24+2=26']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
23,
40,
7,
34
] | 10 | [
"40-23=17",
"34-7=27",
"27-17=10"
] | Current State: 10:[23, 40, 7, 34], Operations: []
Exploring Operation: 40-23=17, Resulting Numbers: [7, 34, 17]
Generated Node #2: [7, 34, 17] from Operation: 40-23=17
Current State: 10:[7, 34, 17], Operations: ['40-23=17']
Exploring Operation: 34-7=27, Resulting Numbers: [17, 27]
Generated Node #3: [17, 27] from Operation: 34-7=27
Current State: 10:[17, 27], Operations: ['40-23=17', '34-7=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
68,
68,
26,
56
] | 31 | [
"68/68=1",
"56-26=30",
"1+30=31"
] | Current State: 31:[68, 68, 26, 56], Operations: []
Exploring Operation: 68/68=1, Resulting Numbers: [26, 56, 1]
Generated Node #2: [26, 56, 1] from Operation: 68/68=1
Current State: 31:[26, 56, 1], Operations: ['68/68=1']
Exploring Operation: 56-26=30, Resulting Numbers: [1, 30]
Generated Node #3: [1, 30] from Operation: 56-26=30
Current State: 31:[1, 30], Operations: ['68/68=1', '56-26=30']
Exploring Operation: 1+30=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
10,
7,
66,
48
] | 56 | [
"66-10=56",
"56/7=8",
"48+8=56"
] | Current State: 56:[10, 7, 66, 48], Operations: []
Exploring Operation: 66-10=56, Resulting Numbers: [7, 48, 56]
Generated Node #2: [7, 48, 56] from Operation: 66-10=56
Current State: 56:[7, 48, 56], Operations: ['66-10=56']
Exploring Operation: 56/7=8, Resulting Numbers: [48, 8]
Generated Node #3: [48, 8] from Operation: 56/7=8
Current State: 56:[48, 8], Operations: ['66-10=56', '56/7=8']
Exploring Operation: 48+8=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
35,
43,
91,
48
] | 98 | [
"48-43=5",
"35/5=7",
"91+7=98"
] | Current State: 98:[35, 43, 91, 48], Operations: []
Exploring Operation: 48-43=5, Resulting Numbers: [35, 91, 5]
Generated Node #2: [35, 91, 5] from Operation: 48-43=5
Current State: 98:[35, 91, 5], Operations: ['48-43=5']
Exploring Operation: 35/5=7, Resulting Numbers: [91, 7]
Generated Node #3: [91, 7] from Operation: 35/5=7
Current State: 98:[91, 7], Operations: ['48-43=5', '35/5=7']
Exploring Operation: 91+7=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
34,
41,
17,
63
] | 87 | [
"41-34=7",
"17+63=80",
"7+80=87"
] | Current State: 87:[34, 41, 17, 63], Operations: []
Exploring Operation: 41-34=7, Resulting Numbers: [17, 63, 7]
Generated Node #2: [17, 63, 7] from Operation: 41-34=7
Current State: 87:[17, 63, 7], Operations: ['41-34=7']
Exploring Operation: 17+63=80, Resulting Numbers: [7, 80]
Generated Node #3: [7, 80] from Operation: 17+63=80
Current State: 87:[7, 80], Operations: ['41-34=7', '17+63=80']
Exploring Operation: 7+80=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
76,
15,
15,
60
] | 78 | [
"15+15=30",
"60/30=2",
"76+2=78"
] | Current State: 78:[76, 15, 15, 60], Operations: []
Exploring Operation: 15+15=30, Resulting Numbers: [76, 60, 30]
Generated Node #2: [76, 60, 30] from Operation: 15+15=30
Current State: 78:[76, 60, 30], Operations: ['15+15=30']
Exploring Operation: 60/30=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 60/30=2
Current State: 78:[76, 2], Operations: ['15+15=30', '60/30=2']
Exploring Operation: 76+2=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
15,
56,
15,
7
] | 34 | [
"15+56=71",
"15*7=105",
"105-71=34"
] | Current State: 34:[15, 56, 15, 7], Operations: []
Exploring Operation: 15+56=71, Resulting Numbers: [7, 71]
Generated Node #2: [7, 71] from Operation: 15+56=71
Current State: 34:[7, 71], Operations: ['15+56=71']
Exploring Operation: 15*7=105, Resulting Numbers: [71, 105]
Generated Node #3: [71, 105] from Operation: 15*7=105
Current State: 34:[71, 105], Operations: ['15+56=71', '15*7=105']
Exploring Operation: 105-71=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
5,
57,
60,
42
] | 80 | [
"5+57=62",
"60-42=18",
"62+18=80"
] | Current State: 80:[5, 57, 60, 42], Operations: []
Exploring Operation: 5+57=62, Resulting Numbers: [60, 42, 62]
Generated Node #2: [60, 42, 62] from Operation: 5+57=62
Current State: 80:[60, 42, 62], Operations: ['5+57=62']
Exploring Operation: 60-42=18, Resulting Numbers: [62, 18]
Generated Node #3: [62, 18] from Operation: 60-42=18
Current State: 80:[62, 18], Operations: ['5+57=62', '60-42=18']
Exploring Operation: 62+18=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
94,
3,
78,
40
] | 53 | [
"94-3=91",
"78-40=38",
"91-38=53"
] | Current State: 53:[94, 3, 78, 40], Operations: []
Exploring Operation: 94-3=91, Resulting Numbers: [78, 40, 91]
Generated Node #2: [78, 40, 91] from Operation: 94-3=91
Current State: 53:[78, 40, 91], Operations: ['94-3=91']
Exploring Operation: 78-40=38, Resulting Numbers: [91, 38]
Generated Node #3: [91, 38] from Operation: 78-40=38
Current State: 53:[91, 38], Operations: ['94-3=91', '78-40=38']
Exploring Operation: 91-38=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
28,
9,
3
] | 91 | [
"60+28=88",
"9/3=3",
"88+3=91"
] | Current State: 91:[60, 28, 9, 3], Operations: []
Exploring Operation: 60+28=88, Resulting Numbers: [9, 3, 88]
Generated Node #2: [9, 3, 88] from Operation: 60+28=88
Current State: 91:[9, 3, 88], Operations: ['60+28=88']
Exploring Operation: 9/3=3, Resulting Numbers: [88, 3]
Generated Node #3: [88, 3] from Operation: 9/3=3
Current State: 91:[88, 3], Operations: ['60+28=88', '9/3=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
13,
2,
16,
10
] | 100 | [
"13*2=26",
"26-16=10",
"10*10=100"
] | Current State: 100:[13, 2, 16, 10], Operations: []
Exploring Operation: 13*2=26, Resulting Numbers: [16, 10, 26]
Generated Node #2: [16, 10, 26] from Operation: 13*2=26
Current State: 100:[16, 10, 26], Operations: ['13*2=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10, 10]
Generated Node #3: [10, 10] from Operation: 26-16=10
Current State: 100:[10, 10], Operations: ['13*2=26', '26-16=10']
Exploring Operation: 10*10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
19,
78,
33,
3
] | 95 | [
"78-19=59",
"33+3=36",
"59+36=95"
] | Current State: 95:[19, 78, 33, 3], Operations: []
Exploring Operation: 78-19=59, Resulting Numbers: [33, 3, 59]
Generated Node #2: [33, 3, 59] from Operation: 78-19=59
Current State: 95:[33, 3, 59], Operations: ['78-19=59']
Exploring Operation: 33+3=36, Resulting Numbers: [59, 36]
Generated Node #3: [59, 36] from Operation: 33+3=36
Current State: 95:[59, 36], Operations: ['78-19=59', '33+3=36']
Exploring Operation: 59+36=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
26,
6,
12,
60
] | 43 | [
"26+60=86",
"12/6=2",
"86/2=43"
] | Current State: 43:[26, 6, 12, 60], Operations: []
Exploring Operation: 26+60=86, Resulting Numbers: [6, 12, 86]
Generated Node #2: [6, 12, 86] from Operation: 26+60=86
Current State: 43:[6, 12, 86], Operations: ['26+60=86']
Exploring Operation: 12/6=2, Resulting Numbers: [86, 2]
Generated Node #3: [86, 2] from Operation: 12/6=2
Current State: 43:[86, 2], Operations: ['26+60=86', '12/6=2']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
1,
97,
8,
62
] | 44 | [
"1+97=98",
"62-8=54",
"98-54=44"
] | Current State: 44:[1, 97, 8, 62], Operations: []
Exploring Operation: 1+97=98, Resulting Numbers: [8, 62, 98]
Generated Node #2: [8, 62, 98] from Operation: 1+97=98
Current State: 44:[8, 62, 98], Operations: ['1+97=98']
Exploring Operation: 62-8=54, Resulting Numbers: [98, 54]
Generated Node #3: [98, 54] from Operation: 62-8=54
Current State: 44:[98, 54], Operations: ['1+97=98', '62-8=54']
Exploring Operation: 98-54=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
49,
80,
11,
69
] | 44 | [
"69-49=20",
"80*11=880",
"880/20=44"
] | Current State: 44:[49, 80, 11, 69], Operations: []
Exploring Operation: 69-49=20, Resulting Numbers: [80, 11, 20]
Generated Node #2: [80, 11, 20] from Operation: 69-49=20
Current State: 44:[80, 11, 20], Operations: ['69-49=20']
Exploring Operation: 80*11=880, Resulting Numbers: [20, 880]
Generated Node #3: [20, 880] from Operation: 80*11=880
Current State: 44:[20, 880], Operations: ['69-49=20', '80*11=880']
Exploring Operation: 880/20=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
12,
9,
21,
76
] | 58 | [
"12-9=3",
"76-21=55",
"3+55=58"
] | Current State: 58:[12, 9, 21, 76], Operations: []
Exploring Operation: 12-9=3, Resulting Numbers: [21, 76, 3]
Generated Node #2: [21, 76, 3] from Operation: 12-9=3
Current State: 58:[21, 76, 3], Operations: ['12-9=3']
Exploring Operation: 76-21=55, Resulting Numbers: [3, 55]
Generated Node #3: [3, 55] from Operation: 76-21=55
Current State: 58:[3, 55], Operations: ['12-9=3', '76-21=55']
Exploring Operation: 3+55=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
86,
5,
32,
13
] | 39 | [
"86+5=91",
"91/13=7",
"32+7=39"
] | Current State: 39:[86, 5, 32, 13], Operations: []
Exploring Operation: 86+5=91, Resulting Numbers: [32, 13, 91]
Generated Node #2: [32, 13, 91] from Operation: 86+5=91
Current State: 39:[32, 13, 91], Operations: ['86+5=91']
Exploring Operation: 91/13=7, Resulting Numbers: [32, 7]
Generated Node #3: [32, 7] from Operation: 91/13=7
Current State: 39:[32, 7], Operations: ['86+5=91', '91/13=7']
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
9,
56,
54,
6
] | 21 | [
"56-54=2",
"6*2=12",
"9+12=21"
] | Current State: 21:[9, 56, 54, 6], Operations: []
Exploring Operation: 56-54=2, Resulting Numbers: [9, 6, 2]
Generated Node #2: [9, 6, 2] from Operation: 56-54=2
Current State: 21:[9, 6, 2], Operations: ['56-54=2']
Exploring Operation: 6*2=12, Resulting Numbers: [9, 12]
Generated Node #3: [9, 12] from Operation: 6*2=12
Current State: 21:[9, 12], Operations: ['56-54=2', '6*2=12']
Exploring Operation: 9+12=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
74,
89,
19,
37
] | 51 | [
"74*19=1406",
"1406/37=38",
"89-38=51"
] | Current State: 51:[74, 89, 19, 37], Operations: []
Exploring Operation: 74*19=1406, Resulting Numbers: [89, 37, 1406]
Generated Node #2: [89, 37, 1406] from Operation: 74*19=1406
Current State: 51:[89, 37, 1406], Operations: ['74*19=1406']
Exploring Operation: 1406/37=38, Resulting Numbers: [89, 38]
Generated Node #3: [89, 38] from Operation: 1406/37=38
Current State: 51:[89, 38], Operations: ['74*19=1406', '1406/37=38']
Exploring Operation: 89-38=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
81,
32,
62,
74
] | 43 | [
"81*32=2592",
"74+2592=2666",
"2666/62=43"
] | Current State: 43:[81, 32, 62, 74], Operations: []
Exploring Operation: 81*32=2592, Resulting Numbers: [62, 74, 2592]
Generated Node #2: [62, 74, 2592] from Operation: 81*32=2592
Current State: 43:[62, 74, 2592], Operations: ['81*32=2592']
Exploring Operation: 74+2592=2666, Resulting Numbers: [62, 2666]
Generated Node #3: [62, 2666] from Operation: 74+2592=2666
Current State: 43:[62, 2666], Operations: ['81*32=2592', '74+2592=2666']
Exploring Operation: 2666/62=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
84,
42,
35,
99
] | 18 | [
"99-84=15",
"42*15=630",
"630/35=18"
] | Current State: 18:[84, 42, 35, 99], Operations: []
Exploring Operation: 99-84=15, Resulting Numbers: [42, 35, 15]
Generated Node #2: [42, 35, 15] from Operation: 99-84=15
Current State: 18:[42, 35, 15], Operations: ['99-84=15']
Exploring Operation: 42*15=630, Resulting Numbers: [35, 630]
Generated Node #3: [35, 630] from Operation: 42*15=630
Current State: 18:[35, 630], Operations: ['99-84=15', '42*15=630']
Exploring Operation: 630/35=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
16,
94,
54,
26
] | 51 | [
"94-16=78",
"78/26=3",
"54-3=51"
] | Current State: 51:[16, 94, 54, 26], Operations: []
Exploring Operation: 94-16=78, Resulting Numbers: [54, 26, 78]
Generated Node #2: [54, 26, 78] from Operation: 94-16=78
Current State: 51:[54, 26, 78], Operations: ['94-16=78']
Exploring Operation: 78/26=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 78/26=3
Current State: 51:[54, 3], Operations: ['94-16=78', '78/26=3']
Exploring Operation: 54-3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
2,
69,
55,
53
] | 18 | [
"2*53=106",
"69+55=124",
"124-106=18"
] | Current State: 18:[2, 69, 55, 53], Operations: []
Exploring Operation: 2*53=106, Resulting Numbers: [69, 55, 106]
Generated Node #2: [69, 55, 106] from Operation: 2*53=106
Current State: 18:[69, 55, 106], Operations: ['2*53=106']
Exploring Operation: 69+55=124, Resulting Numbers: [106, 124]
Generated Node #3: [106, 124] from Operation: 69+55=124
Current State: 18:[106, 124], Operations: ['2*53=106', '69+55=124']
Exploring Operation: 124-106=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
2,
33,
77,
42
] | 43 | [
"77-33=44",
"42+44=86",
"86/2=43"
] | Current State: 43:[2, 33, 77, 42], Operations: []
Exploring Operation: 77-33=44, Resulting Numbers: [2, 42, 44]
Generated Node #2: [2, 42, 44] from Operation: 77-33=44
Current State: 43:[2, 42, 44], Operations: ['77-33=44']
Exploring Operation: 42+44=86, Resulting Numbers: [2, 86]
Generated Node #3: [2, 86] from Operation: 42+44=86
Current State: 43:[2, 86], Operations: ['77-33=44', '42+44=86']
Exploring Operation: 86/2=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
73,
85,
37,
34
] | 44 | [
"73+37=110",
"34*110=3740",
"3740/85=44"
] | Current State: 44:[73, 85, 37, 34], Operations: []
Exploring Operation: 73+37=110, Resulting Numbers: [85, 34, 110]
Generated Node #2: [85, 34, 110] from Operation: 73+37=110
Current State: 44:[85, 34, 110], Operations: ['73+37=110']
Exploring Operation: 34*110=3740, Resulting Numbers: [85, 3740]
Generated Node #3: [85, 3740] from Operation: 34*110=3740
Current State: 44:[85, 3740], Operations: ['73+37=110', '34*110=3740']
Exploring Operation: 3740/85=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
9,
64,
32,
29
] | 58 | [
"64-9=55",
"32-29=3",
"55+3=58"
] | Current State: 58:[9, 64, 32, 29], Operations: []
Exploring Operation: 64-9=55, Resulting Numbers: [32, 29, 55]
Generated Node #2: [32, 29, 55] from Operation: 64-9=55
Current State: 58:[32, 29, 55], Operations: ['64-9=55']
Exploring Operation: 32-29=3, Resulting Numbers: [55, 3]
Generated Node #3: [55, 3] from Operation: 32-29=3
Current State: 58:[55, 3], Operations: ['64-9=55', '32-29=3']
Exploring Operation: 55+3=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
49,
69,
13,
99
] | 32 | [
"49+69=118",
"99-13=86",
"118-86=32"
] | Current State: 32:[49, 69, 13, 99], Operations: []
Exploring Operation: 49+69=118, Resulting Numbers: [13, 99, 118]
Generated Node #2: [13, 99, 118] from Operation: 49+69=118
Current State: 32:[13, 99, 118], Operations: ['49+69=118']
Exploring Operation: 99-13=86, Resulting Numbers: [118, 86]
Generated Node #3: [118, 86] from Operation: 99-13=86
Current State: 32:[118, 86], Operations: ['49+69=118', '99-13=86']
Exploring Operation: 118-86=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
17,
19,
14,
14
] | 87 | [
"19-14=5",
"14*5=70",
"17+70=87"
] | Current State: 87:[17, 19, 14, 14], Operations: []
Exploring Operation: 19-14=5, Resulting Numbers: [17, 5]
Generated Node #2: [17, 5] from Operation: 19-14=5
Current State: 87:[17, 5], Operations: ['19-14=5']
Exploring Operation: 14*5=70, Resulting Numbers: [17, 70]
Generated Node #3: [17, 70] from Operation: 14*5=70
Current State: 87:[17, 70], Operations: ['19-14=5', '14*5=70']
Exploring Operation: 17+70=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
10,
45,
37,
34
] | 37 | [
"45-10=35",
"35-34=1",
"37*1=37"
] | Current State: 37:[10, 45, 37, 34], Operations: []
Exploring Operation: 45-10=35, Resulting Numbers: [37, 34, 35]
Generated Node #2: [37, 34, 35] from Operation: 45-10=35
Current State: 37:[37, 34, 35], Operations: ['45-10=35']
Exploring Operation: 35-34=1, Resulting Numbers: [37, 1]
Generated Node #3: [37, 1] from Operation: 35-34=1
Current State: 37:[37, 1], Operations: ['45-10=35', '35-34=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
34,
50,
3
] | 80 | [
"15/3=5",
"50-34=16",
"5*16=80"
] | Current State: 80:[15, 34, 50, 3], Operations: []
Exploring Operation: 15/3=5, Resulting Numbers: [34, 50, 5]
Generated Node #2: [34, 50, 5] from Operation: 15/3=5
Current State: 80:[34, 50, 5], Operations: ['15/3=5']
Exploring Operation: 50-34=16, Resulting Numbers: [5, 16]
Generated Node #3: [5, 16] from Operation: 50-34=16
Current State: 80:[5, 16], Operations: ['15/3=5', '50-34=16']
Exploring Operation: 5*16=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
31,
55,
95,
91
] | 19 | [
"31+55=86",
"91-86=5",
"95/5=19"
] | Current State: 19:[31, 55, 95, 91], Operations: []
Exploring Operation: 31+55=86, Resulting Numbers: [95, 91, 86]
Generated Node #2: [95, 91, 86] from Operation: 31+55=86
Current State: 19:[95, 91, 86], Operations: ['31+55=86']
Exploring Operation: 91-86=5, Resulting Numbers: [95, 5]
Generated Node #3: [95, 5] from Operation: 91-86=5
Current State: 19:[95, 5], Operations: ['31+55=86', '91-86=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
37,
71,
5,
40
] | 92 | [
"37+71=108",
"5*40=200",
"200-108=92"
] | Current State: 92:[37, 71, 5, 40], Operations: []
Exploring Operation: 37+71=108, Resulting Numbers: [5, 40, 108]
Generated Node #2: [5, 40, 108] from Operation: 37+71=108
Current State: 92:[5, 40, 108], Operations: ['37+71=108']
Exploring Operation: 5*40=200, Resulting Numbers: [108, 200]
Generated Node #3: [108, 200] from Operation: 5*40=200
Current State: 92:[108, 200], Operations: ['37+71=108', '5*40=200']
Exploring Operation: 200-108=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
46,
47,
91,
11
] | 50 | [
"91-47=44",
"44/11=4",
"46+4=50"
] | Current State: 50:[46, 47, 91, 11], Operations: []
Exploring Operation: 91-47=44, Resulting Numbers: [46, 11, 44]
Generated Node #2: [46, 11, 44] from Operation: 91-47=44
Current State: 50:[46, 11, 44], Operations: ['91-47=44']
Exploring Operation: 44/11=4, Resulting Numbers: [46, 4]
Generated Node #3: [46, 4] from Operation: 44/11=4
Current State: 50:[46, 4], Operations: ['91-47=44', '44/11=4']
Exploring Operation: 46+4=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
15,
37,
13,
56
] | 91 | [
"37-15=22",
"13+56=69",
"22+69=91"
] | Current State: 91:[15, 37, 13, 56], Operations: []
Exploring Operation: 37-15=22, Resulting Numbers: [13, 56, 22]
Generated Node #2: [13, 56, 22] from Operation: 37-15=22
Current State: 91:[13, 56, 22], Operations: ['37-15=22']
Exploring Operation: 13+56=69, Resulting Numbers: [22, 69]
Generated Node #3: [22, 69] from Operation: 13+56=69
Current State: 91:[22, 69], Operations: ['37-15=22', '13+56=69']
Exploring Operation: 22+69=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
5,
31,
78,
56
] | 48 | [
"31-5=26",
"78-56=22",
"26+22=48"
] | Current State: 48:[5, 31, 78, 56], Operations: []
Exploring Operation: 31-5=26, Resulting Numbers: [78, 56, 26]
Generated Node #2: [78, 56, 26] from Operation: 31-5=26
Current State: 48:[78, 56, 26], Operations: ['31-5=26']
Exploring Operation: 78-56=22, Resulting Numbers: [26, 22]
Generated Node #3: [26, 22] from Operation: 78-56=22
Current State: 48:[26, 22], Operations: ['31-5=26', '78-56=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
85,
18,
11
] | 49 | [
"22*18=396",
"396/11=36",
"85-36=49"
] | Current State: 49:[22, 85, 18, 11], Operations: []
Exploring Operation: 22*18=396, Resulting Numbers: [85, 11, 396]
Generated Node #2: [85, 11, 396] from Operation: 22*18=396
Current State: 49:[85, 11, 396], Operations: ['22*18=396']
Exploring Operation: 396/11=36, Resulting Numbers: [85, 36]
Generated Node #3: [85, 36] from Operation: 396/11=36
Current State: 49:[85, 36], Operations: ['22*18=396', '396/11=36']
Exploring Operation: 85-36=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
85,
85,
4,
92
] | 97 | [
"85/85=1",
"4+92=96",
"1+96=97"
] | Current State: 97:[85, 85, 4, 92], Operations: []
Exploring Operation: 85/85=1, Resulting Numbers: [4, 92, 1]
Generated Node #2: [4, 92, 1] from Operation: 85/85=1
Current State: 97:[4, 92, 1], Operations: ['85/85=1']
Exploring Operation: 4+92=96, Resulting Numbers: [1, 96]
Generated Node #3: [1, 96] from Operation: 4+92=96
Current State: 97:[1, 96], Operations: ['85/85=1', '4+92=96']
Exploring Operation: 1+96=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
54,
84,
39,
91
] | 100 | [
"84-54=30",
"39+91=130",
"130-30=100"
] | Current State: 100:[54, 84, 39, 91], Operations: []
Exploring Operation: 84-54=30, Resulting Numbers: [39, 91, 30]
Generated Node #2: [39, 91, 30] from Operation: 84-54=30
Current State: 100:[39, 91, 30], Operations: ['84-54=30']
Exploring Operation: 39+91=130, Resulting Numbers: [30, 130]
Generated Node #3: [30, 130] from Operation: 39+91=130
Current State: 100:[30, 130], Operations: ['84-54=30', '39+91=130']
Exploring Operation: 130-30=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
97,
41,
99,
60
] | 38 | [
"99-97=2",
"60-41=19",
"2*19=38"
] | Current State: 38:[97, 41, 99, 60], Operations: []
Exploring Operation: 99-97=2, Resulting Numbers: [41, 60, 2]
Generated Node #2: [41, 60, 2] from Operation: 99-97=2
Current State: 38:[41, 60, 2], Operations: ['99-97=2']
Exploring Operation: 60-41=19, Resulting Numbers: [2, 19]
Generated Node #3: [2, 19] from Operation: 60-41=19
Current State: 38:[2, 19], Operations: ['99-97=2', '60-41=19']
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
51,
26,
28,
48
] | 75 | [
"28-26=2",
"48/2=24",
"51+24=75"
] | Current State: 75:[51, 26, 28, 48], Operations: []
Exploring Operation: 28-26=2, Resulting Numbers: [51, 48, 2]
Generated Node #2: [51, 48, 2] from Operation: 28-26=2
Current State: 75:[51, 48, 2], Operations: ['28-26=2']
Exploring Operation: 48/2=24, Resulting Numbers: [51, 24]
Generated Node #3: [51, 24] from Operation: 48/2=24
Current State: 75:[51, 24], Operations: ['28-26=2', '48/2=24']
Exploring Operation: 51+24=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
31,
30,
60
] | 10 | [
"5+31=36",
"36-30=6",
"60/6=10"
] | Current State: 10:[5, 31, 30, 60], Operations: []
Exploring Operation: 5+31=36, Resulting Numbers: [30, 60, 36]
Generated Node #2: [30, 60, 36] from Operation: 5+31=36
Current State: 10:[30, 60, 36], Operations: ['5+31=36']
Exploring Operation: 36-30=6, Resulting Numbers: [60, 6]
Generated Node #3: [60, 6] from Operation: 36-30=6
Current State: 10:[60, 6], Operations: ['5+31=36', '36-30=6']
Exploring Operation: 60/6=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
37,
96,
31,
43
] | 59 | [
"37+96=133",
"31+43=74",
"133-74=59"
] | Current State: 59:[37, 96, 31, 43], Operations: []
Exploring Operation: 37+96=133, Resulting Numbers: [31, 43, 133]
Generated Node #2: [31, 43, 133] from Operation: 37+96=133
Current State: 59:[31, 43, 133], Operations: ['37+96=133']
Exploring Operation: 31+43=74, Resulting Numbers: [133, 74]
Generated Node #3: [133, 74] from Operation: 31+43=74
Current State: 59:[133, 74], Operations: ['37+96=133', '31+43=74']
Exploring Operation: 133-74=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
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