nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
80,
68,
16,
44
] | 72 | [
"80-68=12",
"16+44=60",
"12+60=72"
] | Current State: 72:[80, 68, 16, 44], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [16, 44, 12]
Generated Node #2: [16, 44, 12] from Operation: 80-68=12
Current State: 72:[16, 44, 12], Operations: ['80-68=12']
Exploring Operation: 16+44=60, Resulting Numbers: [12, 60]
Generated Node #3: [12, 60] from Operation: 16+44=60
Current State: 72:[12, 60], Operations: ['80-68=12', '16+44=60']
Exploring Operation: 12+60=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
10,
31,
4,
43
] | 93 | [
"10*4=40",
"43-40=3",
"31*3=93"
] | Current State: 93:[10, 31, 4, 43], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [31, 43, 40]
Generated Node #2: [31, 43, 40] from Operation: 10*4=40
Current State: 93:[31, 43, 40], Operations: ['10*4=40']
Exploring Operation: 43-40=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 43-40=3
Current State: 93:[31, 3], Operations: ['10*4=40', '43-40=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
2,
91,
11,
96
] | 33 | [
"2+91=93",
"96-93=3",
"11*3=33"
] | Current State: 33:[2, 91, 11, 96], Operations: []
Exploring Operation: 2+91=93, Resulting Numbers: [11, 96, 93]
Generated Node #2: [11, 96, 93] from Operation: 2+91=93
Current State: 33:[11, 96, 93], Operations: ['2+91=93']
Exploring Operation: 96-93=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 96-93=3
Current State: 33:[11, 3], Operations: ['2+91=93', '96-93=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
30,
36,
23,
11
] | 89 | [
"36-30=6",
"11*6=66",
"23+66=89"
] | Current State: 89:[30, 36, 23, 11], Operations: []
Exploring Operation: 36-30=6, Resulting Numbers: [23, 11, 6]
Generated Node #2: [23, 11, 6] from Operation: 36-30=6
Current State: 89:[23, 11, 6], Operations: ['36-30=6']
Exploring Operation: 11*6=66, Resulting Numbers: [23, 66]
Generated Node #3: [23, 66] from Operation: 11*6=66
Current State: 89:[23, 66], Operations: ['36-30=6', '11*6=66']
Exploring Operation: 23+66=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
55,
94,
5,
62
] | 43 | [
"55/5=11",
"94-62=32",
"11+32=43"
] | Current State: 43:[55, 94, 5, 62], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [94, 62, 11]
Generated Node #2: [94, 62, 11] from Operation: 55/5=11
Current State: 43:[94, 62, 11], Operations: ['55/5=11']
Exploring Operation: 94-62=32, Resulting Numbers: [11, 32]
Generated Node #3: [11, 32] from Operation: 94-62=32
Current State: 43:[11, 32], Operations: ['55/5=11', '94-62=32']
Exploring Operation: 11+32=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
78,
1,
35,
49
] | 93 | [
"78+1=79",
"49-35=14",
"79+14=93"
] | Current State: 93:[78, 1, 35, 49], Operations: []
Exploring Operation: 78+1=79, Resulting Numbers: [35, 49, 79]
Generated Node #2: [35, 49, 79] from Operation: 78+1=79
Current State: 93:[35, 49, 79], Operations: ['78+1=79']
Exploring Operation: 49-35=14, Resulting Numbers: [79, 14]
Generated Node #3: [79, 14] from Operation: 49-35=14
Current State: 93:[79, 14], Operations: ['78+1=79', '49-35=14']
Exploring Operation: 79+14=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
28,
15,
72,
9
] | 68 | [
"28-15=13",
"72+9=81",
"81-13=68"
] | Current State: 68:[28, 15, 72, 9], Operations: []
Exploring Operation: 28-15=13, Resulting Numbers: [72, 9, 13]
Generated Node #2: [72, 9, 13] from Operation: 28-15=13
Current State: 68:[72, 9, 13], Operations: ['28-15=13']
Exploring Operation: 72+9=81, Resulting Numbers: [13, 81]
Generated Node #3: [13, 81] from Operation: 72+9=81
Current State: 68:[13, 81], Operations: ['28-15=13', '72+9=81']
Exploring Operation: 81-13=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
54,
17,
64,
8
] | 90 | [
"64-54=10",
"17-8=9",
"10*9=90"
] | Current State: 90:[54, 17, 64, 8], Operations: []
Exploring Operation: 64-54=10, Resulting Numbers: [17, 8, 10]
Generated Node #2: [17, 8, 10] from Operation: 64-54=10
Current State: 90:[17, 8, 10], Operations: ['64-54=10']
Exploring Operation: 17-8=9, Resulting Numbers: [10, 9]
Generated Node #3: [10, 9] from Operation: 17-8=9
Current State: 90:[10, 9], Operations: ['64-54=10', '17-8=9']
Exploring Operation: 10*9=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
34,
55,
90,
5
] | 67 | [
"90-34=56",
"55/5=11",
"56+11=67"
] | Current State: 67:[34, 55, 90, 5], Operations: []
Exploring Operation: 90-34=56, Resulting Numbers: [55, 5, 56]
Generated Node #2: [55, 5, 56] from Operation: 90-34=56
Current State: 67:[55, 5, 56], Operations: ['90-34=56']
Exploring Operation: 55/5=11, Resulting Numbers: [56, 11]
Generated Node #3: [56, 11] from Operation: 55/5=11
Current State: 67:[56, 11], Operations: ['90-34=56', '55/5=11']
Exploring Operation: 56+11=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
21,
32,
4,
84
] | 65 | [
"84-21=63",
"32*4=128",
"128-63=65"
] | Current State: 65:[21, 32, 4, 84], Operations: []
Exploring Operation: 84-21=63, Resulting Numbers: [32, 4, 63]
Generated Node #2: [32, 4, 63] from Operation: 84-21=63
Current State: 65:[32, 4, 63], Operations: ['84-21=63']
Exploring Operation: 32*4=128, Resulting Numbers: [63, 128]
Generated Node #3: [63, 128] from Operation: 32*4=128
Current State: 65:[63, 128], Operations: ['84-21=63', '32*4=128']
Exploring Operation: 128-63=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
64,
72,
93,
90
] | 24 | [
"72-64=8",
"93-90=3",
"8*3=24"
] | Current State: 24:[64, 72, 93, 90], Operations: []
Exploring Operation: 72-64=8, Resulting Numbers: [93, 90, 8]
Generated Node #2: [93, 90, 8] from Operation: 72-64=8
Current State: 24:[93, 90, 8], Operations: ['72-64=8']
Exploring Operation: 93-90=3, Resulting Numbers: [8, 3]
Generated Node #3: [8, 3] from Operation: 93-90=3
Current State: 24:[8, 3], Operations: ['72-64=8', '93-90=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
14,
62,
14,
3
] | 21 | [
"14/14=1",
"62+1=63",
"63/3=21"
] | Current State: 21:[14, 62, 14, 3], Operations: []
Exploring Operation: 14/14=1, Resulting Numbers: [62, 3, 1]
Generated Node #2: [62, 3, 1] from Operation: 14/14=1
Current State: 21:[62, 3, 1], Operations: ['14/14=1']
Exploring Operation: 62+1=63, Resulting Numbers: [3, 63]
Generated Node #3: [3, 63] from Operation: 62+1=63
Current State: 21:[3, 63], Operations: ['14/14=1', '62+1=63']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
41,
97,
27,
11
] | 94 | [
"97-41=56",
"27+11=38",
"56+38=94"
] | Current State: 94:[41, 97, 27, 11], Operations: []
Exploring Operation: 97-41=56, Resulting Numbers: [27, 11, 56]
Generated Node #2: [27, 11, 56] from Operation: 97-41=56
Current State: 94:[27, 11, 56], Operations: ['97-41=56']
Exploring Operation: 27+11=38, Resulting Numbers: [56, 38]
Generated Node #3: [56, 38] from Operation: 27+11=38
Current State: 94:[56, 38], Operations: ['97-41=56', '27+11=38']
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
94,
41,
17,
55
] | 19 | [
"94-41=53",
"17+55=72",
"72-53=19"
] | Current State: 19:[94, 41, 17, 55], Operations: []
Exploring Operation: 94-41=53, Resulting Numbers: [17, 55, 53]
Generated Node #2: [17, 55, 53] from Operation: 94-41=53
Current State: 19:[17, 55, 53], Operations: ['94-41=53']
Exploring Operation: 17+55=72, Resulting Numbers: [53, 72]
Generated Node #3: [53, 72] from Operation: 17+55=72
Current State: 19:[53, 72], Operations: ['94-41=53', '17+55=72']
Exploring Operation: 72-53=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
37,
94,
1,
37
] | 21 | [
"94-37=57",
"37-1=36",
"57-36=21"
] | Current State: 21:[37, 94, 1, 37], Operations: []
Exploring Operation: 94-37=57, Resulting Numbers: [1, 57]
Generated Node #2: [1, 57] from Operation: 94-37=57
Current State: 21:[1, 57], Operations: ['94-37=57']
Exploring Operation: 37-1=36, Resulting Numbers: [57, 36]
Generated Node #3: [57, 36] from Operation: 37-1=36
Current State: 21:[57, 36], Operations: ['94-37=57', '37-1=36']
Exploring Operation: 57-36=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
53,
96,
6,
20
] | 49 | [
"53-20=33",
"96/6=16",
"33+16=49"
] | Current State: 49:[53, 96, 6, 20], Operations: []
Exploring Operation: 53-20=33, Resulting Numbers: [96, 6, 33]
Generated Node #2: [96, 6, 33] from Operation: 53-20=33
Current State: 49:[96, 6, 33], Operations: ['53-20=33']
Exploring Operation: 96/6=16, Resulting Numbers: [33, 16]
Generated Node #3: [33, 16] from Operation: 96/6=16
Current State: 49:[33, 16], Operations: ['53-20=33', '96/6=16']
Exploring Operation: 33+16=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
20,
7,
30,
1
] | 58 | [
"20+7=27",
"30+1=31",
"27+31=58"
] | Current State: 58:[20, 7, 30, 1], Operations: []
Exploring Operation: 20+7=27, Resulting Numbers: [30, 1, 27]
Generated Node #2: [30, 1, 27] from Operation: 20+7=27
Current State: 58:[30, 1, 27], Operations: ['20+7=27']
Exploring Operation: 30+1=31, Resulting Numbers: [27, 31]
Generated Node #3: [27, 31] from Operation: 30+1=31
Current State: 58:[27, 31], Operations: ['20+7=27', '30+1=31']
Exploring Operation: 27+31=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
6,
19,
5,
88
] | 96 | [
"19-6=13",
"88-5=83",
"13+83=96"
] | Current State: 96:[6, 19, 5, 88], Operations: []
Exploring Operation: 19-6=13, Resulting Numbers: [5, 88, 13]
Generated Node #2: [5, 88, 13] from Operation: 19-6=13
Current State: 96:[5, 88, 13], Operations: ['19-6=13']
Exploring Operation: 88-5=83, Resulting Numbers: [13, 83]
Generated Node #3: [13, 83] from Operation: 88-5=83
Current State: 96:[13, 83], Operations: ['19-6=13', '88-5=83']
Exploring Operation: 13+83=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
72,
2,
47,
10
] | 70 | [
"72-47=25",
"10+25=35",
"2*35=70"
] | Current State: 70:[72, 2, 47, 10], Operations: []
Exploring Operation: 72-47=25, Resulting Numbers: [2, 10, 25]
Generated Node #2: [2, 10, 25] from Operation: 72-47=25
Current State: 70:[2, 10, 25], Operations: ['72-47=25']
Exploring Operation: 10+25=35, Resulting Numbers: [2, 35]
Generated Node #3: [2, 35] from Operation: 10+25=35
Current State: 70:[2, 35], Operations: ['72-47=25', '10+25=35']
Exploring Operation: 2*35=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
58,
13,
30,
5
] | 37 | [
"58-30=28",
"13*5=65",
"65-28=37"
] | Current State: 37:[58, 13, 30, 5], Operations: []
Exploring Operation: 58-30=28, Resulting Numbers: [13, 5, 28]
Generated Node #2: [13, 5, 28] from Operation: 58-30=28
Current State: 37:[13, 5, 28], Operations: ['58-30=28']
Exploring Operation: 13*5=65, Resulting Numbers: [28, 65]
Generated Node #3: [28, 65] from Operation: 13*5=65
Current State: 37:[28, 65], Operations: ['58-30=28', '13*5=65']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
13,
19,
77,
89
] | 73 | [
"89-13=76",
"76/19=4",
"77-4=73"
] | Current State: 73:[13, 19, 77, 89], Operations: []
Exploring Operation: 89-13=76, Resulting Numbers: [19, 77, 76]
Generated Node #2: [19, 77, 76] from Operation: 89-13=76
Current State: 73:[19, 77, 76], Operations: ['89-13=76']
Exploring Operation: 76/19=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 76/19=4
Current State: 73:[77, 4], Operations: ['89-13=76', '76/19=4']
Exploring Operation: 77-4=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
16,
80,
8,
25
] | 63 | [
"16+80=96",
"8+25=33",
"96-33=63"
] | Current State: 63:[16, 80, 8, 25], Operations: []
Exploring Operation: 16+80=96, Resulting Numbers: [8, 25, 96]
Generated Node #2: [8, 25, 96] from Operation: 16+80=96
Current State: 63:[8, 25, 96], Operations: ['16+80=96']
Exploring Operation: 8+25=33, Resulting Numbers: [96, 33]
Generated Node #3: [96, 33] from Operation: 8+25=33
Current State: 63:[96, 33], Operations: ['16+80=96', '8+25=33']
Exploring Operation: 96-33=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
86,
13,
36,
8
] | 29 | [
"86-13=73",
"36+8=44",
"73-44=29"
] | Current State: 29:[86, 13, 36, 8], Operations: []
Exploring Operation: 86-13=73, Resulting Numbers: [36, 8, 73]
Generated Node #2: [36, 8, 73] from Operation: 86-13=73
Current State: 29:[36, 8, 73], Operations: ['86-13=73']
Exploring Operation: 36+8=44, Resulting Numbers: [73, 44]
Generated Node #3: [73, 44] from Operation: 36+8=44
Current State: 29:[73, 44], Operations: ['86-13=73', '36+8=44']
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
46,
23,
3,
87
] | 100 | [
"87-46=41",
"3*41=123",
"123-23=100"
] | Current State: 100:[46, 23, 3, 87], Operations: []
Exploring Operation: 87-46=41, Resulting Numbers: [23, 3, 41]
Generated Node #2: [23, 3, 41] from Operation: 87-46=41
Current State: 100:[23, 3, 41], Operations: ['87-46=41']
Exploring Operation: 3*41=123, Resulting Numbers: [23, 123]
Generated Node #3: [23, 123] from Operation: 3*41=123
Current State: 100:[23, 123], Operations: ['87-46=41', '3*41=123']
Exploring Operation: 123-23=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
23,
12,
92,
50
] | 47 | [
"23*12=276",
"276/92=3",
"50-3=47"
] | Current State: 47:[23, 12, 92, 50], Operations: []
Exploring Operation: 23*12=276, Resulting Numbers: [92, 50, 276]
Generated Node #2: [92, 50, 276] from Operation: 23*12=276
Current State: 47:[92, 50, 276], Operations: ['23*12=276']
Exploring Operation: 276/92=3, Resulting Numbers: [50, 3]
Generated Node #3: [50, 3] from Operation: 276/92=3
Current State: 47:[50, 3], Operations: ['23*12=276', '276/92=3']
Exploring Operation: 50-3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
70,
72,
68,
11
] | 77 | [
"72-70=2",
"68+11=79",
"79-2=77"
] | Current State: 77:[70, 72, 68, 11], Operations: []
Exploring Operation: 72-70=2, Resulting Numbers: [68, 11, 2]
Generated Node #2: [68, 11, 2] from Operation: 72-70=2
Current State: 77:[68, 11, 2], Operations: ['72-70=2']
Exploring Operation: 68+11=79, Resulting Numbers: [2, 79]
Generated Node #3: [2, 79] from Operation: 68+11=79
Current State: 77:[2, 79], Operations: ['72-70=2', '68+11=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
30,
91,
20,
65
] | 52 | [
"65-30=35",
"91*20=1820",
"1820/35=52"
] | Current State: 52:[30, 91, 20, 65], Operations: []
Exploring Operation: 65-30=35, Resulting Numbers: [91, 20, 35]
Generated Node #2: [91, 20, 35] from Operation: 65-30=35
Current State: 52:[91, 20, 35], Operations: ['65-30=35']
Exploring Operation: 91*20=1820, Resulting Numbers: [35, 1820]
Generated Node #3: [35, 1820] from Operation: 91*20=1820
Current State: 52:[35, 1820], Operations: ['65-30=35', '91*20=1820']
Exploring Operation: 1820/35=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
55,
28,
2,
27
] | 54 | [
"55+28=83",
"2+27=29",
"83-29=54"
] | Current State: 54:[55, 28, 2, 27], Operations: []
Exploring Operation: 55+28=83, Resulting Numbers: [2, 27, 83]
Generated Node #2: [2, 27, 83] from Operation: 55+28=83
Current State: 54:[2, 27, 83], Operations: ['55+28=83']
Exploring Operation: 2+27=29, Resulting Numbers: [83, 29]
Generated Node #3: [83, 29] from Operation: 2+27=29
Current State: 54:[83, 29], Operations: ['55+28=83', '2+27=29']
Exploring Operation: 83-29=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
20,
48,
92,
62
] | 93 | [
"92-20=72",
"62*72=4464",
"4464/48=93"
] | Current State: 93:[20, 48, 92, 62], Operations: []
Exploring Operation: 92-20=72, Resulting Numbers: [48, 62, 72]
Generated Node #2: [48, 62, 72] from Operation: 92-20=72
Current State: 93:[48, 62, 72], Operations: ['92-20=72']
Exploring Operation: 62*72=4464, Resulting Numbers: [48, 4464]
Generated Node #3: [48, 4464] from Operation: 62*72=4464
Current State: 93:[48, 4464], Operations: ['92-20=72', '62*72=4464']
Exploring Operation: 4464/48=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
28,
9,
6,
11
] | 48 | [
"28-9=19",
"19-11=8",
"6*8=48"
] | Current State: 48:[28, 9, 6, 11], Operations: []
Exploring Operation: 28-9=19, Resulting Numbers: [6, 11, 19]
Generated Node #2: [6, 11, 19] from Operation: 28-9=19
Current State: 48:[6, 11, 19], Operations: ['28-9=19']
Exploring Operation: 19-11=8, Resulting Numbers: [6, 8]
Generated Node #3: [6, 8] from Operation: 19-11=8
Current State: 48:[6, 8], Operations: ['28-9=19', '19-11=8']
Exploring Operation: 6*8=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
10,
20,
32,
66
] | 88 | [
"20-10=10",
"32+66=98",
"98-10=88"
] | Current State: 88:[10, 20, 32, 66], Operations: []
Exploring Operation: 20-10=10, Resulting Numbers: [32, 66, 10]
Generated Node #2: [32, 66, 10] from Operation: 20-10=10
Current State: 88:[32, 66, 10], Operations: ['20-10=10']
Exploring Operation: 32+66=98, Resulting Numbers: [10, 98]
Generated Node #3: [10, 98] from Operation: 32+66=98
Current State: 88:[10, 98], Operations: ['20-10=10', '32+66=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
49,
23,
32,
44
] | 50 | [
"49-23=26",
"32+44=76",
"76-26=50"
] | Current State: 50:[49, 23, 32, 44], Operations: []
Exploring Operation: 49-23=26, Resulting Numbers: [32, 44, 26]
Generated Node #2: [32, 44, 26] from Operation: 49-23=26
Current State: 50:[32, 44, 26], Operations: ['49-23=26']
Exploring Operation: 32+44=76, Resulting Numbers: [26, 76]
Generated Node #3: [26, 76] from Operation: 32+44=76
Current State: 50:[26, 76], Operations: ['49-23=26', '32+44=76']
Exploring Operation: 76-26=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
92,
75,
29,
21
] | 23 | [
"75-29=46",
"92/46=2",
"21+2=23"
] | Current State: 23:[92, 75, 29, 21], Operations: []
Exploring Operation: 75-29=46, Resulting Numbers: [92, 21, 46]
Generated Node #2: [92, 21, 46] from Operation: 75-29=46
Current State: 23:[92, 21, 46], Operations: ['75-29=46']
Exploring Operation: 92/46=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 92/46=2
Current State: 23:[21, 2], Operations: ['75-29=46', '92/46=2']
Exploring Operation: 21+2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
4,
52,
83,
48
] | 68 | [
"83-52=31",
"48-31=17",
"4*17=68"
] | Current State: 68:[4, 52, 83, 48], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [4, 48, 31]
Generated Node #2: [4, 48, 31] from Operation: 83-52=31
Current State: 68:[4, 48, 31], Operations: ['83-52=31']
Exploring Operation: 48-31=17, Resulting Numbers: [4, 17]
Generated Node #3: [4, 17] from Operation: 48-31=17
Current State: 68:[4, 17], Operations: ['83-52=31', '48-31=17']
Exploring Operation: 4*17=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
94,
88,
22,
94
] | 38 | [
"94-88=6",
"22*6=132",
"132-94=38"
] | Current State: 38:[94, 88, 22, 94], Operations: []
Exploring Operation: 94-88=6, Resulting Numbers: [22, 6]
Generated Node #2: [22, 6] from Operation: 94-88=6
Current State: 38:[22, 6], Operations: ['94-88=6']
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,38 equal: Goal Reached
Exploring Operation: 132-94=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
68,
44,
59,
90
] | 52 | [
"68*59=4012",
"44*90=3960",
"4012-3960=52"
] | Current State: 52:[68, 44, 59, 90], Operations: []
Exploring Operation: 68*59=4012, Resulting Numbers: [44, 90, 4012]
Generated Node #2: [44, 90, 4012] from Operation: 68*59=4012
Current State: 52:[44, 90, 4012], Operations: ['68*59=4012']
Exploring Operation: 44*90=3960, Resulting Numbers: [4012, 3960]
Generated Node #3: [4012, 3960] from Operation: 44*90=3960
Current State: 52:[4012, 3960], Operations: ['68*59=4012', '44*90=3960']
Exploring Operation: 4012-3960=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
53,
2,
15,
81
] | 55 | [
"53+15=68",
"2*68=136",
"136-81=55"
] | Current State: 55:[53, 2, 15, 81], Operations: []
Exploring Operation: 53+15=68, Resulting Numbers: [2, 81, 68]
Generated Node #2: [2, 81, 68] from Operation: 53+15=68
Current State: 55:[2, 81, 68], Operations: ['53+15=68']
Exploring Operation: 2*68=136, Resulting Numbers: [81, 136]
Generated Node #3: [81, 136] from Operation: 2*68=136
Current State: 55:[81, 136], Operations: ['53+15=68', '2*68=136']
Exploring Operation: 136-81=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
19,
39,
2,
52
] | 28 | [
"19+2=21",
"52*21=1092",
"1092/39=28"
] | Current State: 28:[19, 39, 2, 52], Operations: []
Exploring Operation: 19+2=21, Resulting Numbers: [39, 52, 21]
Generated Node #2: [39, 52, 21] from Operation: 19+2=21
Current State: 28:[39, 52, 21], Operations: ['19+2=21']
Exploring Operation: 52*21=1092, Resulting Numbers: [39, 1092]
Generated Node #3: [39, 1092] from Operation: 52*21=1092
Current State: 28:[39, 1092], Operations: ['19+2=21', '52*21=1092']
Exploring Operation: 1092/39=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
3,
44,
81,
7
] | 64 | [
"81/3=27",
"44-7=37",
"27+37=64"
] | Current State: 64:[3, 44, 81, 7], Operations: []
Exploring Operation: 81/3=27, Resulting Numbers: [44, 7, 27]
Generated Node #2: [44, 7, 27] from Operation: 81/3=27
Current State: 64:[44, 7, 27], Operations: ['81/3=27']
Exploring Operation: 44-7=37, Resulting Numbers: [27, 37]
Generated Node #3: [27, 37] from Operation: 44-7=37
Current State: 64:[27, 37], Operations: ['81/3=27', '44-7=37']
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
40,
29,
6,
82
] | 16 | [
"40-29=11",
"6*11=66",
"82-66=16"
] | Current State: 16:[40, 29, 6, 82], Operations: []
Exploring Operation: 40-29=11, Resulting Numbers: [6, 82, 11]
Generated Node #2: [6, 82, 11] from Operation: 40-29=11
Current State: 16:[6, 82, 11], Operations: ['40-29=11']
Exploring Operation: 6*11=66, Resulting Numbers: [82, 66]
Generated Node #3: [82, 66] from Operation: 6*11=66
Current State: 16:[82, 66], Operations: ['40-29=11', '6*11=66']
Exploring Operation: 82-66=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
90,
18,
97,
40
] | 65 | [
"90-18=72",
"97+40=137",
"137-72=65"
] | Current State: 65:[90, 18, 97, 40], Operations: []
Exploring Operation: 90-18=72, Resulting Numbers: [97, 40, 72]
Generated Node #2: [97, 40, 72] from Operation: 90-18=72
Current State: 65:[97, 40, 72], Operations: ['90-18=72']
Exploring Operation: 97+40=137, Resulting Numbers: [72, 137]
Generated Node #3: [72, 137] from Operation: 97+40=137
Current State: 65:[72, 137], Operations: ['90-18=72', '97+40=137']
Exploring Operation: 137-72=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
2,
24,
66,
10
] | 54 | [
"24-2=22",
"66+10=76",
"76-22=54"
] | Current State: 54:[2, 24, 66, 10], Operations: []
Exploring Operation: 24-2=22, Resulting Numbers: [66, 10, 22]
Generated Node #2: [66, 10, 22] from Operation: 24-2=22
Current State: 54:[66, 10, 22], Operations: ['24-2=22']
Exploring Operation: 66+10=76, Resulting Numbers: [22, 76]
Generated Node #3: [22, 76] from Operation: 66+10=76
Current State: 54:[22, 76], Operations: ['24-2=22', '66+10=76']
Exploring Operation: 76-22=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
8,
10,
69,
90
] | 59 | [
"8*10=80",
"90-69=21",
"80-21=59"
] | Current State: 59:[8, 10, 69, 90], Operations: []
Exploring Operation: 8*10=80, Resulting Numbers: [69, 90, 80]
Generated Node #2: [69, 90, 80] from Operation: 8*10=80
Current State: 59:[69, 90, 80], Operations: ['8*10=80']
Exploring Operation: 90-69=21, Resulting Numbers: [80, 21]
Generated Node #3: [80, 21] from Operation: 90-69=21
Current State: 59:[80, 21], Operations: ['8*10=80', '90-69=21']
Exploring Operation: 80-21=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
70,
74,
26,
89
] | 29 | [
"70+74=144",
"26+89=115",
"144-115=29"
] | Current State: 29:[70, 74, 26, 89], Operations: []
Exploring Operation: 70+74=144, Resulting Numbers: [26, 89, 144]
Generated Node #2: [26, 89, 144] from Operation: 70+74=144
Current State: 29:[26, 89, 144], Operations: ['70+74=144']
Exploring Operation: 26+89=115, Resulting Numbers: [144, 115]
Generated Node #3: [144, 115] from Operation: 26+89=115
Current State: 29:[144, 115], Operations: ['70+74=144', '26+89=115']
Exploring Operation: 144-115=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
53,
39,
46
] | 18 | [
"3*39=117",
"53+46=99",
"117-99=18"
] | Current State: 18:[3, 53, 39, 46], Operations: []
Exploring Operation: 3*39=117, Resulting Numbers: [53, 46, 117]
Generated Node #2: [53, 46, 117] from Operation: 3*39=117
Current State: 18:[53, 46, 117], Operations: ['3*39=117']
Exploring Operation: 53+46=99, Resulting Numbers: [117, 99]
Generated Node #3: [117, 99] from Operation: 53+46=99
Current State: 18:[117, 99], Operations: ['3*39=117', '53+46=99']
Exploring Operation: 117-99=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
33,
3,
15,
46
] | 90 | [
"33+15=48",
"3*46=138",
"138-48=90"
] | Current State: 90:[33, 3, 15, 46], Operations: []
Exploring Operation: 33+15=48, Resulting Numbers: [3, 46, 48]
Generated Node #2: [3, 46, 48] from Operation: 33+15=48
Current State: 90:[3, 46, 48], Operations: ['33+15=48']
Exploring Operation: 3*46=138, Resulting Numbers: [48, 138]
Generated Node #3: [48, 138] from Operation: 3*46=138
Current State: 90:[48, 138], Operations: ['33+15=48', '3*46=138']
Exploring Operation: 138-48=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
68,
37,
35,
64
] | 30 | [
"37-35=2",
"68/2=34",
"64-34=30"
] | Current State: 30:[68, 37, 35, 64], Operations: []
Exploring Operation: 37-35=2, Resulting Numbers: [68, 64, 2]
Generated Node #2: [68, 64, 2] from Operation: 37-35=2
Current State: 30:[68, 64, 2], Operations: ['37-35=2']
Exploring Operation: 68/2=34, Resulting Numbers: [64, 34]
Generated Node #3: [64, 34] from Operation: 68/2=34
Current State: 30:[64, 34], Operations: ['37-35=2', '68/2=34']
Exploring Operation: 64-34=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
78,
67,
77,
9
] | 77 | [
"78+67=145",
"77-9=68",
"145-68=77"
] | Current State: 77:[78, 67, 77, 9], Operations: []
Exploring Operation: 78+67=145, Resulting Numbers: [77, 9, 145]
Generated Node #2: [77, 9, 145] from Operation: 78+67=145
Current State: 77:[77, 9, 145], Operations: ['78+67=145']
Exploring Operation: 77-9=68, Resulting Numbers: [145, 68]
Generated Node #3: [145, 68] from Operation: 77-9=68
Current State: 77:[145, 68], Operations: ['78+67=145', '77-9=68']
Exploring Operation: 145-68=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
47,
13,
20,
35
] | 89 | [
"47*13=611",
"20*35=700",
"700-611=89"
] | Current State: 89:[47, 13, 20, 35], Operations: []
Exploring Operation: 47*13=611, Resulting Numbers: [20, 35, 611]
Generated Node #2: [20, 35, 611] from Operation: 47*13=611
Current State: 89:[20, 35, 611], Operations: ['47*13=611']
Exploring Operation: 20*35=700, Resulting Numbers: [611, 700]
Generated Node #3: [611, 700] from Operation: 20*35=700
Current State: 89:[611, 700], Operations: ['47*13=611', '20*35=700']
Exploring Operation: 700-611=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
32,
43,
28,
7
] | 35 | [
"32*7=224",
"224/28=8",
"43-8=35"
] | Current State: 35:[32, 43, 28, 7], Operations: []
Exploring Operation: 32*7=224, Resulting Numbers: [43, 28, 224]
Generated Node #2: [43, 28, 224] from Operation: 32*7=224
Current State: 35:[43, 28, 224], Operations: ['32*7=224']
Exploring Operation: 224/28=8, Resulting Numbers: [43, 8]
Generated Node #3: [43, 8] from Operation: 224/28=8
Current State: 35:[43, 8], Operations: ['32*7=224', '224/28=8']
Exploring Operation: 43-8=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
9,
71,
18,
11
] | 46 | [
"9*11=99",
"71-18=53",
"99-53=46"
] | Current State: 46:[9, 71, 18, 11], Operations: []
Exploring Operation: 9*11=99, Resulting Numbers: [71, 18, 99]
Generated Node #2: [71, 18, 99] from Operation: 9*11=99
Current State: 46:[71, 18, 99], Operations: ['9*11=99']
Exploring Operation: 71-18=53, Resulting Numbers: [99, 53]
Generated Node #3: [99, 53] from Operation: 71-18=53
Current State: 46:[99, 53], Operations: ['9*11=99', '71-18=53']
Exploring Operation: 99-53=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
17,
43,
10,
83
] | 47 | [
"43-17=26",
"83-10=73",
"73-26=47"
] | Current State: 47:[17, 43, 10, 83], Operations: []
Exploring Operation: 43-17=26, Resulting Numbers: [10, 83, 26]
Generated Node #2: [10, 83, 26] from Operation: 43-17=26
Current State: 47:[10, 83, 26], Operations: ['43-17=26']
Exploring Operation: 83-10=73, Resulting Numbers: [26, 73]
Generated Node #3: [26, 73] from Operation: 83-10=73
Current State: 47:[26, 73], Operations: ['43-17=26', '83-10=73']
Exploring Operation: 73-26=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
27,
32,
42,
57
] | 10 | [
"32-27=5",
"57-42=15",
"15-5=10"
] | Current State: 10:[27, 32, 42, 57], Operations: []
Exploring Operation: 32-27=5, Resulting Numbers: [42, 57, 5]
Generated Node #2: [42, 57, 5] from Operation: 32-27=5
Current State: 10:[42, 57, 5], Operations: ['32-27=5']
Exploring Operation: 57-42=15, Resulting Numbers: [5, 15]
Generated Node #3: [5, 15] from Operation: 57-42=15
Current State: 10:[5, 15], Operations: ['32-27=5', '57-42=15']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
11,
92,
62,
58
] | 39 | [
"92-11=81",
"62+58=120",
"120-81=39"
] | Current State: 39:[11, 92, 62, 58], Operations: []
Exploring Operation: 92-11=81, Resulting Numbers: [62, 58, 81]
Generated Node #2: [62, 58, 81] from Operation: 92-11=81
Current State: 39:[62, 58, 81], Operations: ['92-11=81']
Exploring Operation: 62+58=120, Resulting Numbers: [81, 120]
Generated Node #3: [81, 120] from Operation: 62+58=120
Current State: 39:[81, 120], Operations: ['92-11=81', '62+58=120']
Exploring Operation: 120-81=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
50,
26,
34,
62
] | 100 | [
"26+34=60",
"62-60=2",
"50*2=100"
] | Current State: 100:[50, 26, 34, 62], Operations: []
Exploring Operation: 26+34=60, Resulting Numbers: [50, 62, 60]
Generated Node #2: [50, 62, 60] from Operation: 26+34=60
Current State: 100:[50, 62, 60], Operations: ['26+34=60']
Exploring Operation: 62-60=2, Resulting Numbers: [50, 2]
Generated Node #3: [50, 2] from Operation: 62-60=2
Current State: 100:[50, 2], Operations: ['26+34=60', '62-60=2']
Exploring Operation: 50*2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
57,
3,
56,
20
] | 61 | [
"57-56=1",
"3*20=60",
"1+60=61"
] | Current State: 61:[57, 3, 56, 20], Operations: []
Exploring Operation: 57-56=1, Resulting Numbers: [3, 20, 1]
Generated Node #2: [3, 20, 1] from Operation: 57-56=1
Current State: 61:[3, 20, 1], Operations: ['57-56=1']
Exploring Operation: 3*20=60, Resulting Numbers: [1, 60]
Generated Node #3: [1, 60] from Operation: 3*20=60
Current State: 61:[1, 60], Operations: ['57-56=1', '3*20=60']
Exploring Operation: 1+60=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
47,
3,
63,
65
] | 42 | [
"47-3=44",
"65-63=2",
"44-2=42"
] | Current State: 42:[47, 3, 63, 65], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [63, 65, 44]
Generated Node #2: [63, 65, 44] from Operation: 47-3=44
Current State: 42:[63, 65, 44], Operations: ['47-3=44']
Exploring Operation: 65-63=2, Resulting Numbers: [44, 2]
Generated Node #3: [44, 2] from Operation: 65-63=2
Current State: 42:[44, 2], Operations: ['47-3=44', '65-63=2']
Exploring Operation: 44-2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
90,
86,
71,
76
] | 62 | [
"86-76=10",
"90/10=9",
"71-9=62"
] | Current State: 62:[90, 86, 71, 76], Operations: []
Exploring Operation: 86-76=10, Resulting Numbers: [90, 71, 10]
Generated Node #2: [90, 71, 10] from Operation: 86-76=10
Current State: 62:[90, 71, 10], Operations: ['86-76=10']
Exploring Operation: 90/10=9, Resulting Numbers: [71, 9]
Generated Node #3: [71, 9] from Operation: 90/10=9
Current State: 62:[71, 9], Operations: ['86-76=10', '90/10=9']
Exploring Operation: 71-9=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
3,
58,
66,
93
] | 39 | [
"93/3=31",
"66-58=8",
"31+8=39"
] | Current State: 39:[3, 58, 66, 93], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [58, 66, 31]
Generated Node #2: [58, 66, 31] from Operation: 93/3=31
Current State: 39:[58, 66, 31], Operations: ['93/3=31']
Exploring Operation: 66-58=8, Resulting Numbers: [31, 8]
Generated Node #3: [31, 8] from Operation: 66-58=8
Current State: 39:[31, 8], Operations: ['93/3=31', '66-58=8']
Exploring Operation: 31+8=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
67,
98,
2,
49
] | 31 | [
"67-49=18",
"98/2=49",
"49-18=31"
] | Current State: 31:[67, 98, 2, 49], Operations: []
Exploring Operation: 67-49=18, Resulting Numbers: [98, 2, 18]
Generated Node #2: [98, 2, 18] from Operation: 67-49=18
Current State: 31:[98, 2, 18], Operations: ['67-49=18']
Exploring Operation: 98/2=49, Resulting Numbers: [18, 49]
Generated Node #3: [18, 49] from Operation: 98/2=49
Current State: 31:[18, 49], Operations: ['67-49=18', '98/2=49']
Exploring Operation: 49-18=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
87,
65,
87,
49
] | 49 | [
"87-87=0",
"65*0=0",
"49+0=49"
] | Current State: 49:[87, 65, 87, 49], Operations: []
Exploring Operation: 87-87=0, Resulting Numbers: [65, 49, 0]
Generated Node #2: [65, 49, 0] from Operation: 87-87=0
Current State: 49:[65, 49, 0], Operations: ['87-87=0']
Exploring Operation: 65*0=0, Resulting Numbers: [49, 0]
Generated Node #3: [49, 0] from Operation: 65*0=0
Current State: 49:[49, 0], Operations: ['87-87=0', '65*0=0']
Exploring Operation: 49+0=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
27,
61,
10,
26
] | 80 | [
"61-27=34",
"34-26=8",
"10*8=80"
] | Current State: 80:[27, 61, 10, 26], Operations: []
Exploring Operation: 61-27=34, Resulting Numbers: [10, 26, 34]
Generated Node #2: [10, 26, 34] from Operation: 61-27=34
Current State: 80:[10, 26, 34], Operations: ['61-27=34']
Exploring Operation: 34-26=8, Resulting Numbers: [10, 8]
Generated Node #3: [10, 8] from Operation: 34-26=8
Current State: 80:[10, 8], Operations: ['61-27=34', '34-26=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
12,
29,
32,
43
] | 39 | [
"32-29=3",
"12/3=4",
"43-4=39"
] | Current State: 39:[12, 29, 32, 43], Operations: []
Exploring Operation: 32-29=3, Resulting Numbers: [12, 43, 3]
Generated Node #2: [12, 43, 3] from Operation: 32-29=3
Current State: 39:[12, 43, 3], Operations: ['32-29=3']
Exploring Operation: 12/3=4, Resulting Numbers: [43, 4]
Generated Node #3: [43, 4] from Operation: 12/3=4
Current State: 39:[43, 4], Operations: ['32-29=3', '12/3=4']
Exploring Operation: 43-4=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
21,
3,
5,
54
] | 56 | [
"21/3=7",
"54-5=49",
"7+49=56"
] | Current State: 56:[21, 3, 5, 54], Operations: []
Exploring Operation: 21/3=7, Resulting Numbers: [5, 54, 7]
Generated Node #2: [5, 54, 7] from Operation: 21/3=7
Current State: 56:[5, 54, 7], Operations: ['21/3=7']
Exploring Operation: 54-5=49, Resulting Numbers: [7, 49]
Generated Node #3: [7, 49] from Operation: 54-5=49
Current State: 56:[7, 49], Operations: ['21/3=7', '54-5=49']
Exploring Operation: 7+49=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
24,
40,
44,
31
] | 100 | [
"44-40=4",
"31*4=124",
"124-24=100"
] | Current State: 100:[24, 40, 44, 31], Operations: []
Exploring Operation: 44-40=4, Resulting Numbers: [24, 31, 4]
Generated Node #2: [24, 31, 4] from Operation: 44-40=4
Current State: 100:[24, 31, 4], Operations: ['44-40=4']
Exploring Operation: 31*4=124, Resulting Numbers: [24, 124]
Generated Node #3: [24, 124] from Operation: 31*4=124
Current State: 100:[24, 124], Operations: ['44-40=4', '31*4=124']
Exploring Operation: 124-24=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
54,
67,
3,
10
] | 26 | [
"67-54=13",
"3+10=13",
"13+13=26"
] | Current State: 26:[54, 67, 3, 10], Operations: []
Exploring Operation: 67-54=13, Resulting Numbers: [3, 10, 13]
Generated Node #2: [3, 10, 13] from Operation: 67-54=13
Current State: 26:[3, 10, 13], Operations: ['67-54=13']
Exploring Operation: 3+10=13, Resulting Numbers: [13, 13]
Generated Node #3: [13, 13] from Operation: 3+10=13
Current State: 26:[13, 13], Operations: ['67-54=13', '3+10=13']
Exploring Operation: 13+13=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
42,
53,
25,
65
] | 51 | [
"53-42=11",
"65-25=40",
"11+40=51"
] | Current State: 51:[42, 53, 25, 65], Operations: []
Exploring Operation: 53-42=11, Resulting Numbers: [25, 65, 11]
Generated Node #2: [25, 65, 11] from Operation: 53-42=11
Current State: 51:[25, 65, 11], Operations: ['53-42=11']
Exploring Operation: 65-25=40, Resulting Numbers: [11, 40]
Generated Node #3: [11, 40] from Operation: 65-25=40
Current State: 51:[11, 40], Operations: ['53-42=11', '65-25=40']
Exploring Operation: 11+40=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
5,
45,
22,
33
] | 95 | [
"45-5=40",
"22+33=55",
"40+55=95"
] | Current State: 95:[5, 45, 22, 33], Operations: []
Exploring Operation: 45-5=40, Resulting Numbers: [22, 33, 40]
Generated Node #2: [22, 33, 40] from Operation: 45-5=40
Current State: 95:[22, 33, 40], Operations: ['45-5=40']
Exploring Operation: 22+33=55, Resulting Numbers: [40, 55]
Generated Node #3: [40, 55] from Operation: 22+33=55
Current State: 95:[40, 55], Operations: ['45-5=40', '22+33=55']
Exploring Operation: 40+55=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
4,
10,
44,
1
] | 49 | [
"10-4=6",
"44-1=43",
"6+43=49"
] | Current State: 49:[4, 10, 44, 1], Operations: []
Exploring Operation: 10-4=6, Resulting Numbers: [44, 1, 6]
Generated Node #2: [44, 1, 6] from Operation: 10-4=6
Current State: 49:[44, 1, 6], Operations: ['10-4=6']
Exploring Operation: 44-1=43, Resulting Numbers: [6, 43]
Generated Node #3: [6, 43] from Operation: 44-1=43
Current State: 49:[6, 43], Operations: ['10-4=6', '44-1=43']
Exploring Operation: 6+43=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
1,
41,
93,
34
] | 99 | [
"41-1=40",
"93-34=59",
"40+59=99"
] | Current State: 99:[1, 41, 93, 34], Operations: []
Exploring Operation: 41-1=40, Resulting Numbers: [93, 34, 40]
Generated Node #2: [93, 34, 40] from Operation: 41-1=40
Current State: 99:[93, 34, 40], Operations: ['41-1=40']
Exploring Operation: 93-34=59, Resulting Numbers: [40, 59]
Generated Node #3: [40, 59] from Operation: 93-34=59
Current State: 99:[40, 59], Operations: ['41-1=40', '93-34=59']
Exploring Operation: 40+59=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
14,
46,
18,
85
] | 71 | [
"46-14=32",
"18+85=103",
"103-32=71"
] | Current State: 71:[14, 46, 18, 85], Operations: []
Exploring Operation: 46-14=32, Resulting Numbers: [18, 85, 32]
Generated Node #2: [18, 85, 32] from Operation: 46-14=32
Current State: 71:[18, 85, 32], Operations: ['46-14=32']
Exploring Operation: 18+85=103, Resulting Numbers: [32, 103]
Generated Node #3: [32, 103] from Operation: 18+85=103
Current State: 71:[32, 103], Operations: ['46-14=32', '18+85=103']
Exploring Operation: 103-32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
80,
10,
53,
30
] | 81 | [
"80-53=27",
"30/10=3",
"27*3=81"
] | Current State: 81:[80, 10, 53, 30], Operations: []
Exploring Operation: 80-53=27, Resulting Numbers: [10, 30, 27]
Generated Node #2: [10, 30, 27] from Operation: 80-53=27
Current State: 81:[10, 30, 27], Operations: ['80-53=27']
Exploring Operation: 30/10=3, Resulting Numbers: [27, 3]
Generated Node #3: [27, 3] from Operation: 30/10=3
Current State: 81:[27, 3], Operations: ['80-53=27', '30/10=3']
Exploring Operation: 27*3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
77,
66,
86,
73
] | 97 | [
"73-66=7",
"77/7=11",
"86+11=97"
] | Current State: 97:[77, 66, 86, 73], Operations: []
Exploring Operation: 73-66=7, Resulting Numbers: [77, 86, 7]
Generated Node #2: [77, 86, 7] from Operation: 73-66=7
Current State: 97:[77, 86, 7], Operations: ['73-66=7']
Exploring Operation: 77/7=11, Resulting Numbers: [86, 11]
Generated Node #3: [86, 11] from Operation: 77/7=11
Current State: 97:[86, 11], Operations: ['73-66=7', '77/7=11']
Exploring Operation: 86+11=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
68,
2,
45,
61
] | 59 | [
"68-61=7",
"2*7=14",
"45+14=59"
] | Current State: 59:[68, 2, 45, 61], Operations: []
Exploring Operation: 68-61=7, Resulting Numbers: [2, 45, 7]
Generated Node #2: [2, 45, 7] from Operation: 68-61=7
Current State: 59:[2, 45, 7], Operations: ['68-61=7']
Exploring Operation: 2*7=14, Resulting Numbers: [45, 14]
Generated Node #3: [45, 14] from Operation: 2*7=14
Current State: 59:[45, 14], Operations: ['68-61=7', '2*7=14']
Exploring Operation: 45+14=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
63,
10,
56,
48
] | 44 | [
"63*48=3024",
"3024/56=54",
"54-10=44"
] | Current State: 44:[63, 10, 56, 48], Operations: []
Exploring Operation: 63*48=3024, Resulting Numbers: [10, 56, 3024]
Generated Node #2: [10, 56, 3024] from Operation: 63*48=3024
Current State: 44:[10, 56, 3024], Operations: ['63*48=3024']
Exploring Operation: 3024/56=54, Resulting Numbers: [10, 54]
Generated Node #3: [10, 54] from Operation: 3024/56=54
Current State: 44:[10, 54], Operations: ['63*48=3024', '3024/56=54']
Exploring Operation: 54-10=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
85,
47,
89,
88
] | 55 | [
"85*88=7480",
"47+89=136",
"7480/136=55"
] | Current State: 55:[85, 47, 89, 88], Operations: []
Exploring Operation: 85*88=7480, Resulting Numbers: [47, 89, 7480]
Generated Node #2: [47, 89, 7480] from Operation: 85*88=7480
Current State: 55:[47, 89, 7480], Operations: ['85*88=7480']
Exploring Operation: 47+89=136, Resulting Numbers: [7480, 136]
Generated Node #3: [7480, 136] from Operation: 47+89=136
Current State: 55:[7480, 136], Operations: ['85*88=7480', '47+89=136']
Exploring Operation: 7480/136=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
4,
7,
37,
66
] | 75 | [
"4*7=28",
"37+66=103",
"103-28=75"
] | Current State: 75:[4, 7, 37, 66], Operations: []
Exploring Operation: 4*7=28, Resulting Numbers: [37, 66, 28]
Generated Node #2: [37, 66, 28] from Operation: 4*7=28
Current State: 75:[37, 66, 28], Operations: ['4*7=28']
Exploring Operation: 37+66=103, Resulting Numbers: [28, 103]
Generated Node #3: [28, 103] from Operation: 37+66=103
Current State: 75:[28, 103], Operations: ['4*7=28', '37+66=103']
Exploring Operation: 103-28=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
78,
23,
53,
99
] | 76 | [
"99-53=46",
"46/23=2",
"78-2=76"
] | Current State: 76:[78, 23, 53, 99], Operations: []
Exploring Operation: 99-53=46, Resulting Numbers: [78, 23, 46]
Generated Node #2: [78, 23, 46] from Operation: 99-53=46
Current State: 76:[78, 23, 46], Operations: ['99-53=46']
Exploring Operation: 46/23=2, Resulting Numbers: [78, 2]
Generated Node #3: [78, 2] from Operation: 46/23=2
Current State: 76:[78, 2], Operations: ['99-53=46', '46/23=2']
Exploring Operation: 78-2=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
30,
10,
87,
70
] | 64 | [
"87-30=57",
"70/10=7",
"57+7=64"
] | Current State: 64:[30, 10, 87, 70], Operations: []
Exploring Operation: 87-30=57, Resulting Numbers: [10, 70, 57]
Generated Node #2: [10, 70, 57] from Operation: 87-30=57
Current State: 64:[10, 70, 57], Operations: ['87-30=57']
Exploring Operation: 70/10=7, Resulting Numbers: [57, 7]
Generated Node #3: [57, 7] from Operation: 70/10=7
Current State: 64:[57, 7], Operations: ['87-30=57', '70/10=7']
Exploring Operation: 57+7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
30,
50,
4,
18
] | 94 | [
"30+50=80",
"18-4=14",
"80+14=94"
] | Current State: 94:[30, 50, 4, 18], Operations: []
Exploring Operation: 30+50=80, Resulting Numbers: [4, 18, 80]
Generated Node #2: [4, 18, 80] from Operation: 30+50=80
Current State: 94:[4, 18, 80], Operations: ['30+50=80']
Exploring Operation: 18-4=14, Resulting Numbers: [80, 14]
Generated Node #3: [80, 14] from Operation: 18-4=14
Current State: 94:[80, 14], Operations: ['30+50=80', '18-4=14']
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
87,
36,
6,
95
] | 84 | [
"95-87=8",
"6*8=48",
"36+48=84"
] | Current State: 84:[87, 36, 6, 95], Operations: []
Exploring Operation: 95-87=8, Resulting Numbers: [36, 6, 8]
Generated Node #2: [36, 6, 8] from Operation: 95-87=8
Current State: 84:[36, 6, 8], Operations: ['95-87=8']
Exploring Operation: 6*8=48, Resulting Numbers: [36, 48]
Generated Node #3: [36, 48] from Operation: 6*8=48
Current State: 84:[36, 48], Operations: ['95-87=8', '6*8=48']
Exploring Operation: 36+48=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
41,
39,
8,
27
] | 31 | [
"41-39=2",
"8/2=4",
"27+4=31"
] | Current State: 31:[41, 39, 8, 27], Operations: []
Exploring Operation: 41-39=2, Resulting Numbers: [8, 27, 2]
Generated Node #2: [8, 27, 2] from Operation: 41-39=2
Current State: 31:[8, 27, 2], Operations: ['41-39=2']
Exploring Operation: 8/2=4, Resulting Numbers: [27, 4]
Generated Node #3: [27, 4] from Operation: 8/2=4
Current State: 31:[27, 4], Operations: ['41-39=2', '8/2=4']
Exploring Operation: 27+4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
66,
4,
43,
42
] | 53 | [
"66-42=24",
"4*24=96",
"96-43=53"
] | Current State: 53:[66, 4, 43, 42], Operations: []
Exploring Operation: 66-42=24, Resulting Numbers: [4, 43, 24]
Generated Node #2: [4, 43, 24] from Operation: 66-42=24
Current State: 53:[4, 43, 24], Operations: ['66-42=24']
Exploring Operation: 4*24=96, Resulting Numbers: [43, 96]
Generated Node #3: [43, 96] from Operation: 4*24=96
Current State: 53:[43, 96], Operations: ['66-42=24', '4*24=96']
Exploring Operation: 96-43=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
60,
74,
74,
76
] | 16 | [
"60+74=134",
"74+76=150",
"150-134=16"
] | Current State: 16:[60, 74, 74, 76], Operations: []
Exploring Operation: 60+74=134, Resulting Numbers: [76, 134]
Generated Node #2: [76, 134] from Operation: 60+74=134
Current State: 16:[76, 134], Operations: ['60+74=134']
Exploring Operation: 74+76=150, Resulting Numbers: [134, 150]
Generated Node #3: [134, 150] from Operation: 74+76=150
Current State: 16:[134, 150], Operations: ['60+74=134', '74+76=150']
Exploring Operation: 150-134=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
29,
25,
74,
9
] | 59 | [
"29*25=725",
"74*9=666",
"725-666=59"
] | Current State: 59:[29, 25, 74, 9], Operations: []
Exploring Operation: 29*25=725, Resulting Numbers: [74, 9, 725]
Generated Node #2: [74, 9, 725] from Operation: 29*25=725
Current State: 59:[74, 9, 725], Operations: ['29*25=725']
Exploring Operation: 74*9=666, Resulting Numbers: [725, 666]
Generated Node #3: [725, 666] from Operation: 74*9=666
Current State: 59:[725, 666], Operations: ['29*25=725', '74*9=666']
Exploring Operation: 725-666=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
68,
25,
4,
20
] | 13 | [
"68+25=93",
"4*20=80",
"93-80=13"
] | Current State: 13:[68, 25, 4, 20], Operations: []
Exploring Operation: 68+25=93, Resulting Numbers: [4, 20, 93]
Generated Node #2: [4, 20, 93] from Operation: 68+25=93
Current State: 13:[4, 20, 93], Operations: ['68+25=93']
Exploring Operation: 4*20=80, Resulting Numbers: [93, 80]
Generated Node #3: [93, 80] from Operation: 4*20=80
Current State: 13:[93, 80], Operations: ['68+25=93', '4*20=80']
Exploring Operation: 93-80=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
48,
96,
23,
31
] | 16 | [
"96/48=2",
"31-23=8",
"2*8=16"
] | Current State: 16:[48, 96, 23, 31], Operations: []
Exploring Operation: 96/48=2, Resulting Numbers: [23, 31, 2]
Generated Node #2: [23, 31, 2] from Operation: 96/48=2
Current State: 16:[23, 31, 2], Operations: ['96/48=2']
Exploring Operation: 31-23=8, Resulting Numbers: [2, 8]
Generated Node #3: [2, 8] from Operation: 31-23=8
Current State: 16:[2, 8], Operations: ['96/48=2', '31-23=8']
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
9,
55,
48,
48
] | 63 | [
"9+55=64",
"48/48=1",
"64-1=63"
] | Current State: 63:[9, 55, 48, 48], Operations: []
Exploring Operation: 9+55=64, Resulting Numbers: [48, 48, 64]
Generated Node #2: [48, 48, 64] from Operation: 9+55=64
Current State: 63:[48, 48, 64], Operations: ['9+55=64']
Exploring Operation: 48/48=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 48/48=1
Current State: 63:[64, 1], Operations: ['9+55=64', '48/48=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
12,
23,
43,
2
] | 11 | [
"12/2=6",
"23+43=66",
"66/6=11"
] | Current State: 11:[12, 23, 43, 2], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [23, 43, 6]
Generated Node #2: [23, 43, 6] from Operation: 12/2=6
Current State: 11:[23, 43, 6], Operations: ['12/2=6']
Exploring Operation: 23+43=66, Resulting Numbers: [6, 66]
Generated Node #3: [6, 66] from Operation: 23+43=66
Current State: 11:[6, 66], Operations: ['12/2=6', '23+43=66']
Exploring Operation: 66/6=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
75,
31,
59
] | 98 | [
"75+59=134",
"134/2=67",
"31+67=98"
] | Current State: 98:[2, 75, 31, 59], Operations: []
Exploring Operation: 75+59=134, Resulting Numbers: [2, 31, 134]
Generated Node #2: [2, 31, 134] from Operation: 75+59=134
Current State: 98:[2, 31, 134], Operations: ['75+59=134']
Exploring Operation: 134/2=67, Resulting Numbers: [31, 67]
Generated Node #3: [31, 67] from Operation: 134/2=67
Current State: 98:[31, 67], Operations: ['75+59=134', '134/2=67']
Exploring Operation: 31+67=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
32,
76,
72,
87
] | 79 | [
"76-72=4",
"32/4=8",
"87-8=79"
] | Current State: 79:[32, 76, 72, 87], Operations: []
Exploring Operation: 76-72=4, Resulting Numbers: [32, 87, 4]
Generated Node #2: [32, 87, 4] from Operation: 76-72=4
Current State: 79:[32, 87, 4], Operations: ['76-72=4']
Exploring Operation: 32/4=8, Resulting Numbers: [87, 8]
Generated Node #3: [87, 8] from Operation: 32/4=8
Current State: 79:[87, 8], Operations: ['76-72=4', '32/4=8']
Exploring Operation: 87-8=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
83,
15,
75,
35
] | 85 | [
"83-75=8",
"15*8=120",
"120-35=85"
] | Current State: 85:[83, 15, 75, 35], Operations: []
Exploring Operation: 83-75=8, Resulting Numbers: [15, 35, 8]
Generated Node #2: [15, 35, 8] from Operation: 83-75=8
Current State: 85:[15, 35, 8], Operations: ['83-75=8']
Exploring Operation: 15*8=120, Resulting Numbers: [35, 120]
Generated Node #3: [35, 120] from Operation: 15*8=120
Current State: 85:[35, 120], Operations: ['83-75=8', '15*8=120']
Exploring Operation: 120-35=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
59,
19,
99,
73
] | 71 | [
"19+99=118",
"118/59=2",
"73-2=71"
] | Current State: 71:[59, 19, 99, 73], Operations: []
Exploring Operation: 19+99=118, Resulting Numbers: [59, 73, 118]
Generated Node #2: [59, 73, 118] from Operation: 19+99=118
Current State: 71:[59, 73, 118], Operations: ['19+99=118']
Exploring Operation: 118/59=2, Resulting Numbers: [73, 2]
Generated Node #3: [73, 2] from Operation: 118/59=2
Current State: 71:[73, 2], Operations: ['19+99=118', '118/59=2']
Exploring Operation: 73-2=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
76,
86,
78,
55
] | 49 | [
"78*55=4290",
"4290-76=4214",
"4214/86=49"
] | Current State: 49:[76, 86, 78, 55], Operations: []
Exploring Operation: 78*55=4290, Resulting Numbers: [76, 86, 4290]
Generated Node #2: [76, 86, 4290] from Operation: 78*55=4290
Current State: 49:[76, 86, 4290], Operations: ['78*55=4290']
Exploring Operation: 4290-76=4214, Resulting Numbers: [86, 4214]
Generated Node #3: [86, 4214] from Operation: 4290-76=4214
Current State: 49:[86, 4214], Operations: ['78*55=4290', '4290-76=4214']
Exploring Operation: 4214/86=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
17,
47,
51,
59
] | 89 | [
"59-51=8",
"17*8=136",
"136-47=89"
] | Current State: 89:[17, 47, 51, 59], Operations: []
Exploring Operation: 59-51=8, Resulting Numbers: [17, 47, 8]
Generated Node #2: [17, 47, 8] from Operation: 59-51=8
Current State: 89:[17, 47, 8], Operations: ['59-51=8']
Exploring Operation: 17*8=136, Resulting Numbers: [47, 136]
Generated Node #3: [47, 136] from Operation: 17*8=136
Current State: 89:[47, 136], Operations: ['59-51=8', '17*8=136']
Exploring Operation: 136-47=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
76,
84,
66,
68
] | 68 | [
"84+68=152",
"152/76=2",
"66+2=68"
] | Current State: 68:[76, 84, 66, 68], Operations: []
Exploring Operation: 84+68=152, Resulting Numbers: [76, 66, 152]
Generated Node #2: [76, 66, 152] from Operation: 84+68=152
Current State: 68:[76, 66, 152], Operations: ['84+68=152']
Exploring Operation: 152/76=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 152/76=2
Current State: 68:[66, 2], Operations: ['84+68=152', '152/76=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
97,
32,
90,
32
] | 57 | [
"97-32=65",
"90+32=122",
"122-65=57"
] | Current State: 57:[97, 32, 90, 32], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [90, 65]
Generated Node #2: [90, 65] from Operation: 97-32=65
Current State: 57:[90, 65], Operations: ['97-32=65']
Exploring Operation: 90+32=122, Resulting Numbers: [65, 122]
Generated Node #3: [65, 122] from Operation: 90+32=122
Current State: 57:[65, 122], Operations: ['97-32=65', '90+32=122']
Exploring Operation: 122-65=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
40,
8,
55,
97
] | 14 | [
"55-40=15",
"97+15=112",
"112/8=14"
] | Current State: 14:[40, 8, 55, 97], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [8, 97, 15]
Generated Node #2: [8, 97, 15] from Operation: 55-40=15
Current State: 14:[8, 97, 15], Operations: ['55-40=15']
Exploring Operation: 97+15=112, Resulting Numbers: [8, 112]
Generated Node #3: [8, 112] from Operation: 97+15=112
Current State: 14:[8, 112], Operations: ['55-40=15', '97+15=112']
Exploring Operation: 112/8=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
84,
5,
5,
2
] | 79 | [
"84+5=89",
"5*2=10",
"89-10=79"
] | Current State: 79:[84, 5, 5, 2], Operations: []
Exploring Operation: 84+5=89, Resulting Numbers: [2, 89]
Generated Node #2: [2, 89] from Operation: 84+5=89
Current State: 79:[2, 89], Operations: ['84+5=89']
Exploring Operation: 5*2=10, Resulting Numbers: [89, 10]
Generated Node #3: [89, 10] from Operation: 5*2=10
Current State: 79:[89, 10], Operations: ['84+5=89', '5*2=10']
Exploring Operation: 89-10=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
10,
4,
15,
8
] | 82 | [
"10-4=6",
"15*6=90",
"90-8=82"
] | Current State: 82:[10, 4, 15, 8], Operations: []
Exploring Operation: 10-4=6, Resulting Numbers: [15, 8, 6]
Generated Node #2: [15, 8, 6] from Operation: 10-4=6
Current State: 82:[15, 8, 6], Operations: ['10-4=6']
Exploring Operation: 15*6=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 15*6=90
Current State: 82:[8, 90], Operations: ['10-4=6', '15*6=90']
Exploring Operation: 90-8=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
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