nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
46,
11,
66,
1
] | 51 | [
"46-1=45",
"66/11=6",
"45+6=51"
] | Current State: 51:[46, 11, 66, 1], Operations: []
Exploring Operation: 46-1=45, Resulting Numbers: [11, 66, 45]
Generated Node #2: [11, 66, 45] from Operation: 46-1=45
Current State: 51:[11, 66, 45], Operations: ['46-1=45']
Exploring Operation: 66/11=6, Resulting Numbers: [45, 6]
Generated Node #3: [45, 6] from Operation: 66/11=6
Current State: 51:[45, 6], Operations: ['46-1=45', '66/11=6']
Exploring Operation: 45+6=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
26,
49,
45,
75
] | 97 | [
"49-26=23",
"45+75=120",
"120-23=97"
] | Current State: 97:[26, 49, 45, 75], Operations: []
Exploring Operation: 49-26=23, Resulting Numbers: [45, 75, 23]
Generated Node #2: [45, 75, 23] from Operation: 49-26=23
Current State: 97:[45, 75, 23], Operations: ['49-26=23']
Exploring Operation: 45+75=120, Resulting Numbers: [23, 120]
Generated Node #3: [23, 120] from Operation: 45+75=120
Current State: 97:[23, 120], Operations: ['49-26=23', '45+75=120']
Exploring Operation: 120-23=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
67,
8,
59,
89
] | 89 | [
"67-8=59",
"59+89=148",
"148-59=89"
] | Current State: 89:[67, 8, 59, 89], Operations: []
Exploring Operation: 67-8=59, Resulting Numbers: [59, 89, 59]
Generated Node #2: [59, 89, 59] from Operation: 67-8=59
Current State: 89:[59, 89, 59], Operations: ['67-8=59']
Exploring Operation: 59+89=148, Resulting Numbers: [148]
148,89 equal: Goal Reached
Exploring Operation: 148-59=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
19,
2,
4,
85
] | 43 | [
"19*2=38",
"85-4=81",
"81-38=43"
] | Current State: 43:[19, 2, 4, 85], Operations: []
Exploring Operation: 19*2=38, Resulting Numbers: [4, 85, 38]
Generated Node #2: [4, 85, 38] from Operation: 19*2=38
Current State: 43:[4, 85, 38], Operations: ['19*2=38']
Exploring Operation: 85-4=81, Resulting Numbers: [38, 81]
Generated Node #3: [38, 81] from Operation: 85-4=81
Current State: 43:[38, 81], Operations: ['19*2=38', '85-4=81']
Exploring Operation: 81-38=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
15,
39,
77,
94
] | 37 | [
"15+39=54",
"94-77=17",
"54-17=37"
] | Current State: 37:[15, 39, 77, 94], Operations: []
Exploring Operation: 15+39=54, Resulting Numbers: [77, 94, 54]
Generated Node #2: [77, 94, 54] from Operation: 15+39=54
Current State: 37:[77, 94, 54], Operations: ['15+39=54']
Exploring Operation: 94-77=17, Resulting Numbers: [54, 17]
Generated Node #3: [54, 17] from Operation: 94-77=17
Current State: 37:[54, 17], Operations: ['15+39=54', '94-77=17']
Exploring Operation: 54-17=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
16,
90,
66,
42
] | 34 | [
"90-16=74",
"66+42=108",
"108-74=34"
] | Current State: 34:[16, 90, 66, 42], Operations: []
Exploring Operation: 90-16=74, Resulting Numbers: [66, 42, 74]
Generated Node #2: [66, 42, 74] from Operation: 90-16=74
Current State: 34:[66, 42, 74], Operations: ['90-16=74']
Exploring Operation: 66+42=108, Resulting Numbers: [74, 108]
Generated Node #3: [74, 108] from Operation: 66+42=108
Current State: 34:[74, 108], Operations: ['90-16=74', '66+42=108']
Exploring Operation: 108-74=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
1,
20,
33,
2
] | 10 | [
"1+20=21",
"33-2=31",
"31-21=10"
] | Current State: 10:[1, 20, 33, 2], Operations: []
Exploring Operation: 1+20=21, Resulting Numbers: [33, 2, 21]
Generated Node #2: [33, 2, 21] from Operation: 1+20=21
Current State: 10:[33, 2, 21], Operations: ['1+20=21']
Exploring Operation: 33-2=31, Resulting Numbers: [21, 31]
Generated Node #3: [21, 31] from Operation: 33-2=31
Current State: 10:[21, 31], Operations: ['1+20=21', '33-2=31']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
6,
9,
28,
13
] | 88 | [
"28-6=22",
"13-9=4",
"22*4=88"
] | Current State: 88:[6, 9, 28, 13], Operations: []
Exploring Operation: 28-6=22, Resulting Numbers: [9, 13, 22]
Generated Node #2: [9, 13, 22] from Operation: 28-6=22
Current State: 88:[9, 13, 22], Operations: ['28-6=22']
Exploring Operation: 13-9=4, Resulting Numbers: [22, 4]
Generated Node #3: [22, 4] from Operation: 13-9=4
Current State: 88:[22, 4], Operations: ['28-6=22', '13-9=4']
Exploring Operation: 22*4=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
71,
97,
97,
24
] | 94 | [
"71+24=95",
"97/97=1",
"95-1=94"
] | Current State: 94:[71, 97, 97, 24], Operations: []
Exploring Operation: 71+24=95, Resulting Numbers: [97, 97, 95]
Generated Node #2: [97, 97, 95] from Operation: 71+24=95
Current State: 94:[97, 97, 95], Operations: ['71+24=95']
Exploring Operation: 97/97=1, Resulting Numbers: [95, 1]
Generated Node #3: [95, 1] from Operation: 97/97=1
Current State: 94:[95, 1], Operations: ['71+24=95', '97/97=1']
Exploring Operation: 95-1=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
2,
51,
20,
22
] | 60 | [
"2*51=102",
"20+22=42",
"102-42=60"
] | Current State: 60:[2, 51, 20, 22], Operations: []
Exploring Operation: 2*51=102, Resulting Numbers: [20, 22, 102]
Generated Node #2: [20, 22, 102] from Operation: 2*51=102
Current State: 60:[20, 22, 102], Operations: ['2*51=102']
Exploring Operation: 20+22=42, Resulting Numbers: [102, 42]
Generated Node #3: [102, 42] from Operation: 20+22=42
Current State: 60:[102, 42], Operations: ['2*51=102', '20+22=42']
Exploring Operation: 102-42=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
43,
8,
19,
8
] | 45 | [
"19-8=11",
"8*11=88",
"88-43=45"
] | Current State: 45:[43, 8, 19, 8], Operations: []
Exploring Operation: 19-8=11, Resulting Numbers: [43, 11]
Generated Node #2: [43, 11] from Operation: 19-8=11
Current State: 45:[43, 11], Operations: ['19-8=11']
Exploring Operation: 8*11=88, Resulting Numbers: [43, 88]
Generated Node #3: [43, 88] from Operation: 8*11=88
Current State: 45:[43, 88], Operations: ['19-8=11', '8*11=88']
Exploring Operation: 88-43=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
63,
14,
36,
3
] | 95 | [
"63-36=27",
"3*27=81",
"14+81=95"
] | Current State: 95:[63, 14, 36, 3], Operations: []
Exploring Operation: 63-36=27, Resulting Numbers: [14, 3, 27]
Generated Node #2: [14, 3, 27] from Operation: 63-36=27
Current State: 95:[14, 3, 27], Operations: ['63-36=27']
Exploring Operation: 3*27=81, Resulting Numbers: [14, 81]
Generated Node #3: [14, 81] from Operation: 3*27=81
Current State: 95:[14, 81], Operations: ['63-36=27', '3*27=81']
Exploring Operation: 14+81=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
40,
49,
28,
28
] | 33 | [
"40+49=89",
"28+28=56",
"89-56=33"
] | Current State: 33:[40, 49, 28, 28], Operations: []
Exploring Operation: 40+49=89, Resulting Numbers: [28, 28, 89]
Generated Node #2: [28, 28, 89] from Operation: 40+49=89
Current State: 33:[28, 28, 89], Operations: ['40+49=89']
Exploring Operation: 28+28=56, Resulting Numbers: [89, 56]
Generated Node #3: [89, 56] from Operation: 28+28=56
Current State: 33:[89, 56], Operations: ['40+49=89', '28+28=56']
Exploring Operation: 89-56=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
8,
55,
2,
72
] | 67 | [
"8-2=6",
"72/6=12",
"55+12=67"
] | Current State: 67:[8, 55, 2, 72], Operations: []
Exploring Operation: 8-2=6, Resulting Numbers: [55, 72, 6]
Generated Node #2: [55, 72, 6] from Operation: 8-2=6
Current State: 67:[55, 72, 6], Operations: ['8-2=6']
Exploring Operation: 72/6=12, Resulting Numbers: [55, 12]
Generated Node #3: [55, 12] from Operation: 72/6=12
Current State: 67:[55, 12], Operations: ['8-2=6', '72/6=12']
Exploring Operation: 55+12=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
91,
11,
27,
8
] | 93 | [
"27-11=16",
"16/8=2",
"91+2=93"
] | Current State: 93:[91, 11, 27, 8], Operations: []
Exploring Operation: 27-11=16, Resulting Numbers: [91, 8, 16]
Generated Node #2: [91, 8, 16] from Operation: 27-11=16
Current State: 93:[91, 8, 16], Operations: ['27-11=16']
Exploring Operation: 16/8=2, Resulting Numbers: [91, 2]
Generated Node #3: [91, 2] from Operation: 16/8=2
Current State: 93:[91, 2], Operations: ['27-11=16', '16/8=2']
Exploring Operation: 91+2=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
96,
49,
89,
35
] | 98 | [
"96-89=7",
"49-35=14",
"7*14=98"
] | Current State: 98:[96, 49, 89, 35], Operations: []
Exploring Operation: 96-89=7, Resulting Numbers: [49, 35, 7]
Generated Node #2: [49, 35, 7] from Operation: 96-89=7
Current State: 98:[49, 35, 7], Operations: ['96-89=7']
Exploring Operation: 49-35=14, Resulting Numbers: [7, 14]
Generated Node #3: [7, 14] from Operation: 49-35=14
Current State: 98:[7, 14], Operations: ['96-89=7', '49-35=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
66,
61,
4,
48
] | 48 | [
"66-61=5",
"5-4=1",
"48*1=48"
] | Current State: 48:[66, 61, 4, 48], Operations: []
Exploring Operation: 66-61=5, Resulting Numbers: [4, 48, 5]
Generated Node #2: [4, 48, 5] from Operation: 66-61=5
Current State: 48:[4, 48, 5], Operations: ['66-61=5']
Exploring Operation: 5-4=1, Resulting Numbers: [48, 1]
Generated Node #3: [48, 1] from Operation: 5-4=1
Current State: 48:[48, 1], Operations: ['66-61=5', '5-4=1']
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
98,
5,
40,
7
] | 30 | [
"98*5=490",
"490/7=70",
"70-40=30"
] | Current State: 30:[98, 5, 40, 7], Operations: []
Exploring Operation: 98*5=490, Resulting Numbers: [40, 7, 490]
Generated Node #2: [40, 7, 490] from Operation: 98*5=490
Current State: 30:[40, 7, 490], Operations: ['98*5=490']
Exploring Operation: 490/7=70, Resulting Numbers: [40, 70]
Generated Node #3: [40, 70] from Operation: 490/7=70
Current State: 30:[40, 70], Operations: ['98*5=490', '490/7=70']
Exploring Operation: 70-40=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
7,
62,
62,
66
] | 51 | [
"62-7=55",
"66-62=4",
"55-4=51"
] | Current State: 51:[7, 62, 62, 66], Operations: []
Exploring Operation: 62-7=55, Resulting Numbers: [66, 55]
Generated Node #2: [66, 55] from Operation: 62-7=55
Current State: 51:[66, 55], Operations: ['62-7=55']
Exploring Operation: 66-62=4, Resulting Numbers: [55, 4]
Generated Node #3: [55, 4] from Operation: 66-62=4
Current State: 51:[55, 4], Operations: ['62-7=55', '66-62=4']
Exploring Operation: 55-4=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
19,
91,
32,
89
] | 35 | [
"91-89=2",
"32/2=16",
"19+16=35"
] | Current State: 35:[19, 91, 32, 89], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [19, 32, 2]
Generated Node #2: [19, 32, 2] from Operation: 91-89=2
Current State: 35:[19, 32, 2], Operations: ['91-89=2']
Exploring Operation: 32/2=16, Resulting Numbers: [19, 16]
Generated Node #3: [19, 16] from Operation: 32/2=16
Current State: 35:[19, 16], Operations: ['91-89=2', '32/2=16']
Exploring Operation: 19+16=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
51,
65,
74,
44
] | 63 | [
"51-44=7",
"74-65=9",
"7*9=63"
] | Current State: 63:[51, 65, 74, 44], Operations: []
Exploring Operation: 51-44=7, Resulting Numbers: [65, 74, 7]
Generated Node #2: [65, 74, 7] from Operation: 51-44=7
Current State: 63:[65, 74, 7], Operations: ['51-44=7']
Exploring Operation: 74-65=9, Resulting Numbers: [7, 9]
Generated Node #3: [7, 9] from Operation: 74-65=9
Current State: 63:[7, 9], Operations: ['51-44=7', '74-65=9']
Exploring Operation: 7*9=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
25,
4,
78,
91
] | 87 | [
"25*4=100",
"91-78=13",
"100-13=87"
] | Current State: 87:[25, 4, 78, 91], Operations: []
Exploring Operation: 25*4=100, Resulting Numbers: [78, 91, 100]
Generated Node #2: [78, 91, 100] from Operation: 25*4=100
Current State: 87:[78, 91, 100], Operations: ['25*4=100']
Exploring Operation: 91-78=13, Resulting Numbers: [100, 13]
Generated Node #3: [100, 13] from Operation: 91-78=13
Current State: 87:[100, 13], Operations: ['25*4=100', '91-78=13']
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
92,
37,
61,
8
] | 76 | [
"92+37=129",
"61-8=53",
"129-53=76"
] | Current State: 76:[92, 37, 61, 8], Operations: []
Exploring Operation: 92+37=129, Resulting Numbers: [61, 8, 129]
Generated Node #2: [61, 8, 129] from Operation: 92+37=129
Current State: 76:[61, 8, 129], Operations: ['92+37=129']
Exploring Operation: 61-8=53, Resulting Numbers: [129, 53]
Generated Node #3: [129, 53] from Operation: 61-8=53
Current State: 76:[129, 53], Operations: ['92+37=129', '61-8=53']
Exploring Operation: 129-53=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
16,
89,
10,
7
] | 11 | [
"16-7=9",
"89+10=99",
"99/9=11"
] | Current State: 11:[16, 89, 10, 7], Operations: []
Exploring Operation: 16-7=9, Resulting Numbers: [89, 10, 9]
Generated Node #2: [89, 10, 9] from Operation: 16-7=9
Current State: 11:[89, 10, 9], Operations: ['16-7=9']
Exploring Operation: 89+10=99, Resulting Numbers: [9, 99]
Generated Node #3: [9, 99] from Operation: 89+10=99
Current State: 11:[9, 99], Operations: ['16-7=9', '89+10=99']
Exploring Operation: 99/9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
99,
79,
35,
3
] | 85 | [
"99-79=20",
"35*3=105",
"105-20=85"
] | Current State: 85:[99, 79, 35, 3], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [35, 3, 20]
Generated Node #2: [35, 3, 20] from Operation: 99-79=20
Current State: 85:[35, 3, 20], Operations: ['99-79=20']
Exploring Operation: 35*3=105, Resulting Numbers: [20, 105]
Generated Node #3: [20, 105] from Operation: 35*3=105
Current State: 85:[20, 105], Operations: ['99-79=20', '35*3=105']
Exploring Operation: 105-20=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
82,
98,
46,
5
] | 100 | [
"46-5=41",
"82/41=2",
"98+2=100"
] | Current State: 100:[82, 98, 46, 5], Operations: []
Exploring Operation: 46-5=41, Resulting Numbers: [82, 98, 41]
Generated Node #2: [82, 98, 41] from Operation: 46-5=41
Current State: 100:[82, 98, 41], Operations: ['46-5=41']
Exploring Operation: 82/41=2, Resulting Numbers: [98, 2]
Generated Node #3: [98, 2] from Operation: 82/41=2
Current State: 100:[98, 2], Operations: ['46-5=41', '82/41=2']
Exploring Operation: 98+2=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
83,
52,
11,
97
] | 77 | [
"83-52=31",
"11+97=108",
"108-31=77"
] | Current State: 77:[83, 52, 11, 97], Operations: []
Exploring Operation: 83-52=31, Resulting Numbers: [11, 97, 31]
Generated Node #2: [11, 97, 31] from Operation: 83-52=31
Current State: 77:[11, 97, 31], Operations: ['83-52=31']
Exploring Operation: 11+97=108, Resulting Numbers: [31, 108]
Generated Node #3: [31, 108] from Operation: 11+97=108
Current State: 77:[31, 108], Operations: ['83-52=31', '11+97=108']
Exploring Operation: 108-31=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
3,
46,
28,
48
] | 70 | [
"3*48=144",
"46+28=74",
"144-74=70"
] | Current State: 70:[3, 46, 28, 48], Operations: []
Exploring Operation: 3*48=144, Resulting Numbers: [46, 28, 144]
Generated Node #2: [46, 28, 144] from Operation: 3*48=144
Current State: 70:[46, 28, 144], Operations: ['3*48=144']
Exploring Operation: 46+28=74, Resulting Numbers: [144, 74]
Generated Node #3: [144, 74] from Operation: 46+28=74
Current State: 70:[144, 74], Operations: ['3*48=144', '46+28=74']
Exploring Operation: 144-74=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
73,
32,
20,
2
] | 81 | [
"73-32=41",
"20*2=40",
"41+40=81"
] | Current State: 81:[73, 32, 20, 2], Operations: []
Exploring Operation: 73-32=41, Resulting Numbers: [20, 2, 41]
Generated Node #2: [20, 2, 41] from Operation: 73-32=41
Current State: 81:[20, 2, 41], Operations: ['73-32=41']
Exploring Operation: 20*2=40, Resulting Numbers: [41, 40]
Generated Node #3: [41, 40] from Operation: 20*2=40
Current State: 81:[41, 40], Operations: ['73-32=41', '20*2=40']
Exploring Operation: 41+40=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
68,
81,
87,
4
] | 44 | [
"87-81=6",
"4*6=24",
"68-24=44"
] | Current State: 44:[68, 81, 87, 4], Operations: []
Exploring Operation: 87-81=6, Resulting Numbers: [68, 4, 6]
Generated Node #2: [68, 4, 6] from Operation: 87-81=6
Current State: 44:[68, 4, 6], Operations: ['87-81=6']
Exploring Operation: 4*6=24, Resulting Numbers: [68, 24]
Generated Node #3: [68, 24] from Operation: 4*6=24
Current State: 44:[68, 24], Operations: ['87-81=6', '4*6=24']
Exploring Operation: 68-24=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
52,
28,
7,
61
] | 26 | [
"52+28=80",
"61-7=54",
"80-54=26"
] | Current State: 26:[52, 28, 7, 61], Operations: []
Exploring Operation: 52+28=80, Resulting Numbers: [7, 61, 80]
Generated Node #2: [7, 61, 80] from Operation: 52+28=80
Current State: 26:[7, 61, 80], Operations: ['52+28=80']
Exploring Operation: 61-7=54, Resulting Numbers: [80, 54]
Generated Node #3: [80, 54] from Operation: 61-7=54
Current State: 26:[80, 54], Operations: ['52+28=80', '61-7=54']
Exploring Operation: 80-54=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
81,
11,
60,
18
] | 50 | [
"81+11=92",
"60-18=42",
"92-42=50"
] | Current State: 50:[81, 11, 60, 18], Operations: []
Exploring Operation: 81+11=92, Resulting Numbers: [60, 18, 92]
Generated Node #2: [60, 18, 92] from Operation: 81+11=92
Current State: 50:[60, 18, 92], Operations: ['81+11=92']
Exploring Operation: 60-18=42, Resulting Numbers: [92, 42]
Generated Node #3: [92, 42] from Operation: 60-18=42
Current State: 50:[92, 42], Operations: ['81+11=92', '60-18=42']
Exploring Operation: 92-42=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
41,
13,
2,
24
] | 50 | [
"41-13=28",
"24-2=22",
"28+22=50"
] | Current State: 50:[41, 13, 2, 24], Operations: []
Exploring Operation: 41-13=28, Resulting Numbers: [2, 24, 28]
Generated Node #2: [2, 24, 28] from Operation: 41-13=28
Current State: 50:[2, 24, 28], Operations: ['41-13=28']
Exploring Operation: 24-2=22, Resulting Numbers: [28, 22]
Generated Node #3: [28, 22] from Operation: 24-2=22
Current State: 50:[28, 22], Operations: ['41-13=28', '24-2=22']
Exploring Operation: 28+22=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
22,
34,
92,
9
] | 89 | [
"34-22=12",
"92+9=101",
"101-12=89"
] | Current State: 89:[22, 34, 92, 9], Operations: []
Exploring Operation: 34-22=12, Resulting Numbers: [92, 9, 12]
Generated Node #2: [92, 9, 12] from Operation: 34-22=12
Current State: 89:[92, 9, 12], Operations: ['34-22=12']
Exploring Operation: 92+9=101, Resulting Numbers: [12, 101]
Generated Node #3: [12, 101] from Operation: 92+9=101
Current State: 89:[12, 101], Operations: ['34-22=12', '92+9=101']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
9,
72,
88,
32
] | 64 | [
"72/9=8",
"88-32=56",
"8+56=64"
] | Current State: 64:[9, 72, 88, 32], Operations: []
Exploring Operation: 72/9=8, Resulting Numbers: [88, 32, 8]
Generated Node #2: [88, 32, 8] from Operation: 72/9=8
Current State: 64:[88, 32, 8], Operations: ['72/9=8']
Exploring Operation: 88-32=56, Resulting Numbers: [8, 56]
Generated Node #3: [8, 56] from Operation: 88-32=56
Current State: 64:[8, 56], Operations: ['72/9=8', '88-32=56']
Exploring Operation: 8+56=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
93,
69,
67,
84
] | 41 | [
"93-69=24",
"84-67=17",
"24+17=41"
] | Current State: 41:[93, 69, 67, 84], Operations: []
Exploring Operation: 93-69=24, Resulting Numbers: [67, 84, 24]
Generated Node #2: [67, 84, 24] from Operation: 93-69=24
Current State: 41:[67, 84, 24], Operations: ['93-69=24']
Exploring Operation: 84-67=17, Resulting Numbers: [24, 17]
Generated Node #3: [24, 17] from Operation: 84-67=17
Current State: 41:[24, 17], Operations: ['93-69=24', '84-67=17']
Exploring Operation: 24+17=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
32,
40,
2,
41
] | 32 | [
"40+2=42",
"42-41=1",
"32*1=32"
] | Current State: 32:[32, 40, 2, 41], Operations: []
Exploring Operation: 40+2=42, Resulting Numbers: [32, 41, 42]
Generated Node #2: [32, 41, 42] from Operation: 40+2=42
Current State: 32:[32, 41, 42], Operations: ['40+2=42']
Exploring Operation: 42-41=1, Resulting Numbers: [32, 1]
Generated Node #3: [32, 1] from Operation: 42-41=1
Current State: 32:[32, 1], Operations: ['40+2=42', '42-41=1']
Exploring Operation: 32*1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
14,
5,
86,
46
] | 21 | [
"14+5=19",
"86-46=40",
"40-19=21"
] | Current State: 21:[14, 5, 86, 46], Operations: []
Exploring Operation: 14+5=19, Resulting Numbers: [86, 46, 19]
Generated Node #2: [86, 46, 19] from Operation: 14+5=19
Current State: 21:[86, 46, 19], Operations: ['14+5=19']
Exploring Operation: 86-46=40, Resulting Numbers: [19, 40]
Generated Node #3: [19, 40] from Operation: 86-46=40
Current State: 21:[19, 40], Operations: ['14+5=19', '86-46=40']
Exploring Operation: 40-19=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
45,
97,
98,
54
] | 10 | [
"45+97=142",
"98+54=152",
"152-142=10"
] | Current State: 10:[45, 97, 98, 54], Operations: []
Exploring Operation: 45+97=142, Resulting Numbers: [98, 54, 142]
Generated Node #2: [98, 54, 142] from Operation: 45+97=142
Current State: 10:[98, 54, 142], Operations: ['45+97=142']
Exploring Operation: 98+54=152, Resulting Numbers: [142, 152]
Generated Node #3: [142, 152] from Operation: 98+54=152
Current State: 10:[142, 152], Operations: ['45+97=142', '98+54=152']
Exploring Operation: 152-142=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
65,
2,
61,
96
] | 33 | [
"65+61=126",
"126/2=63",
"96-63=33"
] | Current State: 33:[65, 2, 61, 96], Operations: []
Exploring Operation: 65+61=126, Resulting Numbers: [2, 96, 126]
Generated Node #2: [2, 96, 126] from Operation: 65+61=126
Current State: 33:[2, 96, 126], Operations: ['65+61=126']
Exploring Operation: 126/2=63, Resulting Numbers: [96, 63]
Generated Node #3: [96, 63] from Operation: 126/2=63
Current State: 33:[96, 63], Operations: ['65+61=126', '126/2=63']
Exploring Operation: 96-63=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
10,
62,
4,
54
] | 76 | [
"10*4=40",
"62+54=116",
"116-40=76"
] | Current State: 76:[10, 62, 4, 54], Operations: []
Exploring Operation: 10*4=40, Resulting Numbers: [62, 54, 40]
Generated Node #2: [62, 54, 40] from Operation: 10*4=40
Current State: 76:[62, 54, 40], Operations: ['10*4=40']
Exploring Operation: 62+54=116, Resulting Numbers: [40, 116]
Generated Node #3: [40, 116] from Operation: 62+54=116
Current State: 76:[40, 116], Operations: ['10*4=40', '62+54=116']
Exploring Operation: 116-40=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
2,
44,
12,
3
] | 14 | [
"44/2=22",
"12*3=36",
"36-22=14"
] | Current State: 14:[2, 44, 12, 3], Operations: []
Exploring Operation: 44/2=22, Resulting Numbers: [12, 3, 22]
Generated Node #2: [12, 3, 22] from Operation: 44/2=22
Current State: 14:[12, 3, 22], Operations: ['44/2=22']
Exploring Operation: 12*3=36, Resulting Numbers: [22, 36]
Generated Node #3: [22, 36] from Operation: 12*3=36
Current State: 14:[22, 36], Operations: ['44/2=22', '12*3=36']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
85,
18,
27,
83
] | 72 | [
"85-83=2",
"27*2=54",
"18+54=72"
] | Current State: 72:[85, 18, 27, 83], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [18, 27, 2]
Generated Node #2: [18, 27, 2] from Operation: 85-83=2
Current State: 72:[18, 27, 2], Operations: ['85-83=2']
Exploring Operation: 27*2=54, Resulting Numbers: [18, 54]
Generated Node #3: [18, 54] from Operation: 27*2=54
Current State: 72:[18, 54], Operations: ['85-83=2', '27*2=54']
Exploring Operation: 18+54=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
30,
66,
63,
21
] | 32 | [
"30+66=96",
"63/21=3",
"96/3=32"
] | Current State: 32:[30, 66, 63, 21], Operations: []
Exploring Operation: 30+66=96, Resulting Numbers: [63, 21, 96]
Generated Node #2: [63, 21, 96] from Operation: 30+66=96
Current State: 32:[63, 21, 96], Operations: ['30+66=96']
Exploring Operation: 63/21=3, Resulting Numbers: [96, 3]
Generated Node #3: [96, 3] from Operation: 63/21=3
Current State: 32:[96, 3], Operations: ['30+66=96', '63/21=3']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
30,
41,
68,
71
] | 51 | [
"71-68=3",
"30/3=10",
"41+10=51"
] | Current State: 51:[30, 41, 68, 71], Operations: []
Exploring Operation: 71-68=3, Resulting Numbers: [30, 41, 3]
Generated Node #2: [30, 41, 3] from Operation: 71-68=3
Current State: 51:[30, 41, 3], Operations: ['71-68=3']
Exploring Operation: 30/3=10, Resulting Numbers: [41, 10]
Generated Node #3: [41, 10] from Operation: 30/3=10
Current State: 51:[41, 10], Operations: ['71-68=3', '30/3=10']
Exploring Operation: 41+10=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
32,
16,
98,
99
] | 100 | [
"32/16=2",
"99*2=198",
"198-98=100"
] | Current State: 100:[32, 16, 98, 99], Operations: []
Exploring Operation: 32/16=2, Resulting Numbers: [98, 99, 2]
Generated Node #2: [98, 99, 2] from Operation: 32/16=2
Current State: 100:[98, 99, 2], Operations: ['32/16=2']
Exploring Operation: 99*2=198, Resulting Numbers: [98, 198]
Generated Node #3: [98, 198] from Operation: 99*2=198
Current State: 100:[98, 198], Operations: ['32/16=2', '99*2=198']
Exploring Operation: 198-98=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
89,
7,
52,
57
] | 91 | [
"89+7=96",
"57-52=5",
"96-5=91"
] | Current State: 91:[89, 7, 52, 57], Operations: []
Exploring Operation: 89+7=96, Resulting Numbers: [52, 57, 96]
Generated Node #2: [52, 57, 96] from Operation: 89+7=96
Current State: 91:[52, 57, 96], Operations: ['89+7=96']
Exploring Operation: 57-52=5, Resulting Numbers: [96, 5]
Generated Node #3: [96, 5] from Operation: 57-52=5
Current State: 91:[96, 5], Operations: ['89+7=96', '57-52=5']
Exploring Operation: 96-5=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
47,
2,
24
] | 50 | [
"36*2=72",
"72/24=3",
"47+3=50"
] | Current State: 50:[36, 47, 2, 24], Operations: []
Exploring Operation: 36*2=72, Resulting Numbers: [47, 24, 72]
Generated Node #2: [47, 24, 72] from Operation: 36*2=72
Current State: 50:[47, 24, 72], Operations: ['36*2=72']
Exploring Operation: 72/24=3, Resulting Numbers: [47, 3]
Generated Node #3: [47, 3] from Operation: 72/24=3
Current State: 50:[47, 3], Operations: ['36*2=72', '72/24=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
80,
95,
95,
5
] | 60 | [
"80+95=175",
"175/5=35",
"95-35=60"
] | Current State: 60:[80, 95, 95, 5], Operations: []
Exploring Operation: 80+95=175, Resulting Numbers: [5, 175]
Generated Node #2: [5, 175] from Operation: 80+95=175
Current State: 60:[5, 175], Operations: ['80+95=175']
Exploring Operation: 175/5=35, Resulting Numbers: [35]
35,60 equal: Goal Reached
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
21,
32,
59,
14
] | 18 | [
"59-32=27",
"14*27=378",
"378/21=18"
] | Current State: 18:[21, 32, 59, 14], Operations: []
Exploring Operation: 59-32=27, Resulting Numbers: [21, 14, 27]
Generated Node #2: [21, 14, 27] from Operation: 59-32=27
Current State: 18:[21, 14, 27], Operations: ['59-32=27']
Exploring Operation: 14*27=378, Resulting Numbers: [21, 378]
Generated Node #3: [21, 378] from Operation: 14*27=378
Current State: 18:[21, 378], Operations: ['59-32=27', '14*27=378']
Exploring Operation: 378/21=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
48,
42,
30,
42
] | 98 | [
"48-30=18",
"42*42=1764",
"1764/18=98"
] | Current State: 98:[48, 42, 30, 42], Operations: []
Exploring Operation: 48-30=18, Resulting Numbers: [42, 42, 18]
Generated Node #2: [42, 42, 18] from Operation: 48-30=18
Current State: 98:[42, 42, 18], Operations: ['48-30=18']
Exploring Operation: 42*42=1764, Resulting Numbers: [18, 1764]
Generated Node #3: [18, 1764] from Operation: 42*42=1764
Current State: 98:[18, 1764], Operations: ['48-30=18', '42*42=1764']
Exploring Operation: 1764/18=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
16,
88,
22,
2
] | 92 | [
"88-16=72",
"22-2=20",
"72+20=92"
] | Current State: 92:[16, 88, 22, 2], Operations: []
Exploring Operation: 88-16=72, Resulting Numbers: [22, 2, 72]
Generated Node #2: [22, 2, 72] from Operation: 88-16=72
Current State: 92:[22, 2, 72], Operations: ['88-16=72']
Exploring Operation: 22-2=20, Resulting Numbers: [72, 20]
Generated Node #3: [72, 20] from Operation: 22-2=20
Current State: 92:[72, 20], Operations: ['88-16=72', '22-2=20']
Exploring Operation: 72+20=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
49,
88,
47,
41
] | 48 | [
"88-47=41",
"41/41=1",
"49-1=48"
] | Current State: 48:[49, 88, 47, 41], Operations: []
Exploring Operation: 88-47=41, Resulting Numbers: [49, 41, 41]
Generated Node #2: [49, 41, 41] from Operation: 88-47=41
Current State: 48:[49, 41, 41], Operations: ['88-47=41']
Exploring Operation: 41/41=1, Resulting Numbers: [49, 1]
Generated Node #3: [49, 1] from Operation: 41/41=1
Current State: 48:[49, 1], Operations: ['88-47=41', '41/41=1']
Exploring Operation: 49-1=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
69,
92,
6,
71
] | 95 | [
"71-69=2",
"6/2=3",
"92+3=95"
] | Current State: 95:[69, 92, 6, 71], Operations: []
Exploring Operation: 71-69=2, Resulting Numbers: [92, 6, 2]
Generated Node #2: [92, 6, 2] from Operation: 71-69=2
Current State: 95:[92, 6, 2], Operations: ['71-69=2']
Exploring Operation: 6/2=3, Resulting Numbers: [92, 3]
Generated Node #3: [92, 3] from Operation: 6/2=3
Current State: 95:[92, 3], Operations: ['71-69=2', '6/2=3']
Exploring Operation: 92+3=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
33,
25,
72
] | 12 | [
"33-25=8",
"72/8=9",
"21-9=12"
] | Current State: 12:[21, 33, 25, 72], Operations: []
Exploring Operation: 33-25=8, Resulting Numbers: [21, 72, 8]
Generated Node #2: [21, 72, 8] from Operation: 33-25=8
Current State: 12:[21, 72, 8], Operations: ['33-25=8']
Exploring Operation: 72/8=9, Resulting Numbers: [21, 9]
Generated Node #3: [21, 9] from Operation: 72/8=9
Current State: 12:[21, 9], Operations: ['33-25=8', '72/8=9']
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
74,
60,
99,
52
] | 87 | [
"74+60=134",
"99-52=47",
"134-47=87"
] | Current State: 87:[74, 60, 99, 52], Operations: []
Exploring Operation: 74+60=134, Resulting Numbers: [99, 52, 134]
Generated Node #2: [99, 52, 134] from Operation: 74+60=134
Current State: 87:[99, 52, 134], Operations: ['74+60=134']
Exploring Operation: 99-52=47, Resulting Numbers: [134, 47]
Generated Node #3: [134, 47] from Operation: 99-52=47
Current State: 87:[134, 47], Operations: ['74+60=134', '99-52=47']
Exploring Operation: 134-47=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
45,
68,
1,
85
] | 27 | [
"45+68=113",
"1+85=86",
"113-86=27"
] | Current State: 27:[45, 68, 1, 85], Operations: []
Exploring Operation: 45+68=113, Resulting Numbers: [1, 85, 113]
Generated Node #2: [1, 85, 113] from Operation: 45+68=113
Current State: 27:[1, 85, 113], Operations: ['45+68=113']
Exploring Operation: 1+85=86, Resulting Numbers: [113, 86]
Generated Node #3: [113, 86] from Operation: 1+85=86
Current State: 27:[113, 86], Operations: ['45+68=113', '1+85=86']
Exploring Operation: 113-86=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
52,
24,
5,
63
] | 40 | [
"52-24=28",
"5+63=68",
"68-28=40"
] | Current State: 40:[52, 24, 5, 63], Operations: []
Exploring Operation: 52-24=28, Resulting Numbers: [5, 63, 28]
Generated Node #2: [5, 63, 28] from Operation: 52-24=28
Current State: 40:[5, 63, 28], Operations: ['52-24=28']
Exploring Operation: 5+63=68, Resulting Numbers: [28, 68]
Generated Node #3: [28, 68] from Operation: 5+63=68
Current State: 40:[28, 68], Operations: ['52-24=28', '5+63=68']
Exploring Operation: 68-28=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
77,
9,
49,
95
] | 76 | [
"77-9=68",
"49+95=144",
"144-68=76"
] | Current State: 76:[77, 9, 49, 95], Operations: []
Exploring Operation: 77-9=68, Resulting Numbers: [49, 95, 68]
Generated Node #2: [49, 95, 68] from Operation: 77-9=68
Current State: 76:[49, 95, 68], Operations: ['77-9=68']
Exploring Operation: 49+95=144, Resulting Numbers: [68, 144]
Generated Node #3: [68, 144] from Operation: 49+95=144
Current State: 76:[68, 144], Operations: ['77-9=68', '49+95=144']
Exploring Operation: 144-68=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
75,
45,
93,
6
] | 67 | [
"93-45=48",
"48/6=8",
"75-8=67"
] | Current State: 67:[75, 45, 93, 6], Operations: []
Exploring Operation: 93-45=48, Resulting Numbers: [75, 6, 48]
Generated Node #2: [75, 6, 48] from Operation: 93-45=48
Current State: 67:[75, 6, 48], Operations: ['93-45=48']
Exploring Operation: 48/6=8, Resulting Numbers: [75, 8]
Generated Node #3: [75, 8] from Operation: 48/6=8
Current State: 67:[75, 8], Operations: ['93-45=48', '48/6=8']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
8,
4,
66,
30
] | 24 | [
"8+4=12",
"66-30=36",
"36-12=24"
] | Current State: 24:[8, 4, 66, 30], Operations: []
Exploring Operation: 8+4=12, Resulting Numbers: [66, 30, 12]
Generated Node #2: [66, 30, 12] from Operation: 8+4=12
Current State: 24:[66, 30, 12], Operations: ['8+4=12']
Exploring Operation: 66-30=36, Resulting Numbers: [12, 36]
Generated Node #3: [12, 36] from Operation: 66-30=36
Current State: 24:[12, 36], Operations: ['8+4=12', '66-30=36']
Exploring Operation: 36-12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
35,
36,
47
] | 75 | [
"47-36=11",
"10*11=110",
"110-35=75"
] | Current State: 75:[10, 35, 36, 47], Operations: []
Exploring Operation: 47-36=11, Resulting Numbers: [10, 35, 11]
Generated Node #2: [10, 35, 11] from Operation: 47-36=11
Current State: 75:[10, 35, 11], Operations: ['47-36=11']
Exploring Operation: 10*11=110, Resulting Numbers: [35, 110]
Generated Node #3: [35, 110] from Operation: 10*11=110
Current State: 75:[35, 110], Operations: ['47-36=11', '10*11=110']
Exploring Operation: 110-35=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
79,
48,
54,
3
] | 77 | [
"54-48=6",
"6/3=2",
"79-2=77"
] | Current State: 77:[79, 48, 54, 3], Operations: []
Exploring Operation: 54-48=6, Resulting Numbers: [79, 3, 6]
Generated Node #2: [79, 3, 6] from Operation: 54-48=6
Current State: 77:[79, 3, 6], Operations: ['54-48=6']
Exploring Operation: 6/3=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 6/3=2
Current State: 77:[79, 2], Operations: ['54-48=6', '6/3=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
51,
95,
38,
22
] | 40 | [
"95-51=44",
"44/22=2",
"38+2=40"
] | Current State: 40:[51, 95, 38, 22], Operations: []
Exploring Operation: 95-51=44, Resulting Numbers: [38, 22, 44]
Generated Node #2: [38, 22, 44] from Operation: 95-51=44
Current State: 40:[38, 22, 44], Operations: ['95-51=44']
Exploring Operation: 44/22=2, Resulting Numbers: [38, 2]
Generated Node #3: [38, 2] from Operation: 44/22=2
Current State: 40:[38, 2], Operations: ['95-51=44', '44/22=2']
Exploring Operation: 38+2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
21,
3,
21,
3
] | 81 | [
"21*3=63",
"21-3=18",
"63+18=81"
] | Current State: 81:[21, 3, 21, 3], Operations: []
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,81 equal: Goal Reached
Exploring Operation: 21-3=18, Resulting Numbers: [63, 18]
Generated Node #2: [63, 18] from Operation: 21-3=18
Current State: 81:[63, 18], Operations: ['21-3=18']
Exploring Operation: 63+18=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
21,
27,
49,
69
] | 51 | [
"69-27=42",
"42/21=2",
"49+2=51"
] | Current State: 51:[21, 27, 49, 69], Operations: []
Exploring Operation: 69-27=42, Resulting Numbers: [21, 49, 42]
Generated Node #2: [21, 49, 42] from Operation: 69-27=42
Current State: 51:[21, 49, 42], Operations: ['69-27=42']
Exploring Operation: 42/21=2, Resulting Numbers: [49, 2]
Generated Node #3: [49, 2] from Operation: 42/21=2
Current State: 51:[49, 2], Operations: ['69-27=42', '42/21=2']
Exploring Operation: 49+2=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
48,
18,
7
] | 68 | [
"9+48=57",
"18-7=11",
"57+11=68"
] | Current State: 68:[9, 48, 18, 7], Operations: []
Exploring Operation: 9+48=57, Resulting Numbers: [18, 7, 57]
Generated Node #2: [18, 7, 57] from Operation: 9+48=57
Current State: 68:[18, 7, 57], Operations: ['9+48=57']
Exploring Operation: 18-7=11, Resulting Numbers: [57, 11]
Generated Node #3: [57, 11] from Operation: 18-7=11
Current State: 68:[57, 11], Operations: ['9+48=57', '18-7=11']
Exploring Operation: 57+11=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
38,
14,
48,
38
] | 35 | [
"38/38=1",
"48-14=34",
"1+34=35"
] | Current State: 35:[38, 14, 48, 38], Operations: []
Exploring Operation: 38/38=1, Resulting Numbers: [14, 48, 1]
Generated Node #2: [14, 48, 1] from Operation: 38/38=1
Current State: 35:[14, 48, 1], Operations: ['38/38=1']
Exploring Operation: 48-14=34, Resulting Numbers: [1, 34]
Generated Node #3: [1, 34] from Operation: 48-14=34
Current State: 35:[1, 34], Operations: ['38/38=1', '48-14=34']
Exploring Operation: 1+34=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
52,
13,
33,
57
] | 39 | [
"52*33=1716",
"57-13=44",
"1716/44=39"
] | Current State: 39:[52, 13, 33, 57], Operations: []
Exploring Operation: 52*33=1716, Resulting Numbers: [13, 57, 1716]
Generated Node #2: [13, 57, 1716] from Operation: 52*33=1716
Current State: 39:[13, 57, 1716], Operations: ['52*33=1716']
Exploring Operation: 57-13=44, Resulting Numbers: [1716, 44]
Generated Node #3: [1716, 44] from Operation: 57-13=44
Current State: 39:[1716, 44], Operations: ['52*33=1716', '57-13=44']
Exploring Operation: 1716/44=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
45,
15,
55,
10
] | 87 | [
"15*55=825",
"45+825=870",
"870/10=87"
] | Current State: 87:[45, 15, 55, 10], Operations: []
Exploring Operation: 15*55=825, Resulting Numbers: [45, 10, 825]
Generated Node #2: [45, 10, 825] from Operation: 15*55=825
Current State: 87:[45, 10, 825], Operations: ['15*55=825']
Exploring Operation: 45+825=870, Resulting Numbers: [10, 870]
Generated Node #3: [10, 870] from Operation: 45+825=870
Current State: 87:[10, 870], Operations: ['15*55=825', '45+825=870']
Exploring Operation: 870/10=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
38,
27,
57,
9
] | 37 | [
"38-27=11",
"57-9=48",
"48-11=37"
] | Current State: 37:[38, 27, 57, 9], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [57, 9, 11]
Generated Node #2: [57, 9, 11] from Operation: 38-27=11
Current State: 37:[57, 9, 11], Operations: ['38-27=11']
Exploring Operation: 57-9=48, Resulting Numbers: [11, 48]
Generated Node #3: [11, 48] from Operation: 57-9=48
Current State: 37:[11, 48], Operations: ['38-27=11', '57-9=48']
Exploring Operation: 48-11=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
67,
94,
95,
7
] | 75 | [
"94-67=27",
"95+7=102",
"102-27=75"
] | Current State: 75:[67, 94, 95, 7], Operations: []
Exploring Operation: 94-67=27, Resulting Numbers: [95, 7, 27]
Generated Node #2: [95, 7, 27] from Operation: 94-67=27
Current State: 75:[95, 7, 27], Operations: ['94-67=27']
Exploring Operation: 95+7=102, Resulting Numbers: [27, 102]
Generated Node #3: [27, 102] from Operation: 95+7=102
Current State: 75:[27, 102], Operations: ['94-67=27', '95+7=102']
Exploring Operation: 102-27=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
33,
69,
6,
59
] | 49 | [
"33+69=102",
"59-6=53",
"102-53=49"
] | Current State: 49:[33, 69, 6, 59], Operations: []
Exploring Operation: 33+69=102, Resulting Numbers: [6, 59, 102]
Generated Node #2: [6, 59, 102] from Operation: 33+69=102
Current State: 49:[6, 59, 102], Operations: ['33+69=102']
Exploring Operation: 59-6=53, Resulting Numbers: [102, 53]
Generated Node #3: [102, 53] from Operation: 59-6=53
Current State: 49:[102, 53], Operations: ['33+69=102', '59-6=53']
Exploring Operation: 102-53=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
89,
16,
61,
45
] | 57 | [
"89-16=73",
"61-45=16",
"73-16=57"
] | Current State: 57:[89, 16, 61, 45], Operations: []
Exploring Operation: 89-16=73, Resulting Numbers: [61, 45, 73]
Generated Node #2: [61, 45, 73] from Operation: 89-16=73
Current State: 57:[61, 45, 73], Operations: ['89-16=73']
Exploring Operation: 61-45=16, Resulting Numbers: [73, 16]
Generated Node #3: [73, 16] from Operation: 61-45=16
Current State: 57:[73, 16], Operations: ['89-16=73', '61-45=16']
Exploring Operation: 73-16=57, Resulting Numbers: [57]
57,57 equal: Goal Reached
| 4 |
[
3,
57,
28,
14
] | 18 | [
"3+57=60",
"28+14=42",
"60-42=18"
] | Current State: 18:[3, 57, 28, 14], Operations: []
Exploring Operation: 3+57=60, Resulting Numbers: [28, 14, 60]
Generated Node #2: [28, 14, 60] from Operation: 3+57=60
Current State: 18:[28, 14, 60], Operations: ['3+57=60']
Exploring Operation: 28+14=42, Resulting Numbers: [60, 42]
Generated Node #3: [60, 42] from Operation: 28+14=42
Current State: 18:[60, 42], Operations: ['3+57=60', '28+14=42']
Exploring Operation: 60-42=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
62,
69,
76
] | 18 | [
"73-62=11",
"76-69=7",
"11+7=18"
] | Current State: 18:[73, 62, 69, 76], Operations: []
Exploring Operation: 73-62=11, Resulting Numbers: [69, 76, 11]
Generated Node #2: [69, 76, 11] from Operation: 73-62=11
Current State: 18:[69, 76, 11], Operations: ['73-62=11']
Exploring Operation: 76-69=7, Resulting Numbers: [11, 7]
Generated Node #3: [11, 7] from Operation: 76-69=7
Current State: 18:[11, 7], Operations: ['73-62=11', '76-69=7']
Exploring Operation: 11+7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
52,
94,
42,
78
] | 77 | [
"94-52=42",
"42/42=1",
"78-1=77"
] | Current State: 77:[52, 94, 42, 78], Operations: []
Exploring Operation: 94-52=42, Resulting Numbers: [42, 78, 42]
Generated Node #2: [42, 78, 42] from Operation: 94-52=42
Current State: 77:[42, 78, 42], Operations: ['94-52=42']
Exploring Operation: 42/42=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 42/42=1
Current State: 77:[78, 1], Operations: ['94-52=42', '42/42=1']
Exploring Operation: 78-1=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
43,
67,
30,
92
] | 86 | [
"67-43=24",
"92-30=62",
"24+62=86"
] | Current State: 86:[43, 67, 30, 92], Operations: []
Exploring Operation: 67-43=24, Resulting Numbers: [30, 92, 24]
Generated Node #2: [30, 92, 24] from Operation: 67-43=24
Current State: 86:[30, 92, 24], Operations: ['67-43=24']
Exploring Operation: 92-30=62, Resulting Numbers: [24, 62]
Generated Node #3: [24, 62] from Operation: 92-30=62
Current State: 86:[24, 62], Operations: ['67-43=24', '92-30=62']
Exploring Operation: 24+62=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
37,
93,
57,
12
] | 85 | [
"37+93=130",
"57-12=45",
"130-45=85"
] | Current State: 85:[37, 93, 57, 12], Operations: []
Exploring Operation: 37+93=130, Resulting Numbers: [57, 12, 130]
Generated Node #2: [57, 12, 130] from Operation: 37+93=130
Current State: 85:[57, 12, 130], Operations: ['37+93=130']
Exploring Operation: 57-12=45, Resulting Numbers: [130, 45]
Generated Node #3: [130, 45] from Operation: 57-12=45
Current State: 85:[130, 45], Operations: ['37+93=130', '57-12=45']
Exploring Operation: 130-45=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
53,
78,
6,
51
] | 33 | [
"53-51=2",
"78/2=39",
"39-6=33"
] | Current State: 33:[53, 78, 6, 51], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [78, 6, 2]
Generated Node #2: [78, 6, 2] from Operation: 53-51=2
Current State: 33:[78, 6, 2], Operations: ['53-51=2']
Exploring Operation: 78/2=39, Resulting Numbers: [6, 39]
Generated Node #3: [6, 39] from Operation: 78/2=39
Current State: 33:[6, 39], Operations: ['53-51=2', '78/2=39']
Exploring Operation: 39-6=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
39,
64,
89,
45
] | 31 | [
"39+64=103",
"89+45=134",
"134-103=31"
] | Current State: 31:[39, 64, 89, 45], Operations: []
Exploring Operation: 39+64=103, Resulting Numbers: [89, 45, 103]
Generated Node #2: [89, 45, 103] from Operation: 39+64=103
Current State: 31:[89, 45, 103], Operations: ['39+64=103']
Exploring Operation: 89+45=134, Resulting Numbers: [103, 134]
Generated Node #3: [103, 134] from Operation: 89+45=134
Current State: 31:[103, 134], Operations: ['39+64=103', '89+45=134']
Exploring Operation: 134-103=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4 |
[
25,
15,
50,
3
] | 55 | [
"25*3=75",
"75/15=5",
"50+5=55"
] | Current State: 55:[25, 15, 50, 3], Operations: []
Exploring Operation: 25*3=75, Resulting Numbers: [15, 50, 75]
Generated Node #2: [15, 50, 75] from Operation: 25*3=75
Current State: 55:[15, 50, 75], Operations: ['25*3=75']
Exploring Operation: 75/15=5, Resulting Numbers: [50, 5]
Generated Node #3: [50, 5] from Operation: 75/15=5
Current State: 55:[50, 5], Operations: ['25*3=75', '75/15=5']
Exploring Operation: 50+5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
5,
72,
47,
92
] | 32 | [
"5+72=77",
"92-47=45",
"77-45=32"
] | Current State: 32:[5, 72, 47, 92], Operations: []
Exploring Operation: 5+72=77, Resulting Numbers: [47, 92, 77]
Generated Node #2: [47, 92, 77] from Operation: 5+72=77
Current State: 32:[47, 92, 77], Operations: ['5+72=77']
Exploring Operation: 92-47=45, Resulting Numbers: [77, 45]
Generated Node #3: [77, 45] from Operation: 92-47=45
Current State: 32:[77, 45], Operations: ['5+72=77', '92-47=45']
Exploring Operation: 77-45=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
90,
14,
67,
18
] | 92 | [
"90-67=23",
"18-14=4",
"23*4=92"
] | Current State: 92:[90, 14, 67, 18], Operations: []
Exploring Operation: 90-67=23, Resulting Numbers: [14, 18, 23]
Generated Node #2: [14, 18, 23] from Operation: 90-67=23
Current State: 92:[14, 18, 23], Operations: ['90-67=23']
Exploring Operation: 18-14=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 18-14=4
Current State: 92:[23, 4], Operations: ['90-67=23', '18-14=4']
Exploring Operation: 23*4=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
43,
16,
81,
35
] | 47 | [
"43-35=8",
"16*8=128",
"128-81=47"
] | Current State: 47:[43, 16, 81, 35], Operations: []
Exploring Operation: 43-35=8, Resulting Numbers: [16, 81, 8]
Generated Node #2: [16, 81, 8] from Operation: 43-35=8
Current State: 47:[16, 81, 8], Operations: ['43-35=8']
Exploring Operation: 16*8=128, Resulting Numbers: [81, 128]
Generated Node #3: [81, 128] from Operation: 16*8=128
Current State: 47:[81, 128], Operations: ['43-35=8', '16*8=128']
Exploring Operation: 128-81=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
46,
28,
11,
60
] | 89 | [
"46-28=18",
"11+60=71",
"18+71=89"
] | Current State: 89:[46, 28, 11, 60], Operations: []
Exploring Operation: 46-28=18, Resulting Numbers: [11, 60, 18]
Generated Node #2: [11, 60, 18] from Operation: 46-28=18
Current State: 89:[11, 60, 18], Operations: ['46-28=18']
Exploring Operation: 11+60=71, Resulting Numbers: [18, 71]
Generated Node #3: [18, 71] from Operation: 11+60=71
Current State: 89:[18, 71], Operations: ['46-28=18', '11+60=71']
Exploring Operation: 18+71=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
99,
8,
23,
12
] | 19 | [
"99-23=76",
"12-8=4",
"76/4=19"
] | Current State: 19:[99, 8, 23, 12], Operations: []
Exploring Operation: 99-23=76, Resulting Numbers: [8, 12, 76]
Generated Node #2: [8, 12, 76] from Operation: 99-23=76
Current State: 19:[8, 12, 76], Operations: ['99-23=76']
Exploring Operation: 12-8=4, Resulting Numbers: [76, 4]
Generated Node #3: [76, 4] from Operation: 12-8=4
Current State: 19:[76, 4], Operations: ['99-23=76', '12-8=4']
Exploring Operation: 76/4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
52,
63,
86,
16
] | 91 | [
"63-52=11",
"86+16=102",
"102-11=91"
] | Current State: 91:[52, 63, 86, 16], Operations: []
Exploring Operation: 63-52=11, Resulting Numbers: [86, 16, 11]
Generated Node #2: [86, 16, 11] from Operation: 63-52=11
Current State: 91:[86, 16, 11], Operations: ['63-52=11']
Exploring Operation: 86+16=102, Resulting Numbers: [11, 102]
Generated Node #3: [11, 102] from Operation: 86+16=102
Current State: 91:[11, 102], Operations: ['63-52=11', '86+16=102']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
58,
49,
92,
81
] | 66 | [
"58+49=107",
"92+81=173",
"173-107=66"
] | Current State: 66:[58, 49, 92, 81], Operations: []
Exploring Operation: 58+49=107, Resulting Numbers: [92, 81, 107]
Generated Node #2: [92, 81, 107] from Operation: 58+49=107
Current State: 66:[92, 81, 107], Operations: ['58+49=107']
Exploring Operation: 92+81=173, Resulting Numbers: [107, 173]
Generated Node #3: [107, 173] from Operation: 92+81=173
Current State: 66:[107, 173], Operations: ['58+49=107', '92+81=173']
Exploring Operation: 173-107=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
28,
8,
74,
44
] | 50 | [
"28-8=20",
"74-44=30",
"20+30=50"
] | Current State: 50:[28, 8, 74, 44], Operations: []
Exploring Operation: 28-8=20, Resulting Numbers: [74, 44, 20]
Generated Node #2: [74, 44, 20] from Operation: 28-8=20
Current State: 50:[74, 44, 20], Operations: ['28-8=20']
Exploring Operation: 74-44=30, Resulting Numbers: [20, 30]
Generated Node #3: [20, 30] from Operation: 74-44=30
Current State: 50:[20, 30], Operations: ['28-8=20', '74-44=30']
Exploring Operation: 20+30=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
28,
64,
96,
80
] | 77 | [
"96+80=176",
"28*176=4928",
"4928/64=77"
] | Current State: 77:[28, 64, 96, 80], Operations: []
Exploring Operation: 96+80=176, Resulting Numbers: [28, 64, 176]
Generated Node #2: [28, 64, 176] from Operation: 96+80=176
Current State: 77:[28, 64, 176], Operations: ['96+80=176']
Exploring Operation: 28*176=4928, Resulting Numbers: [64, 4928]
Generated Node #3: [64, 4928] from Operation: 28*176=4928
Current State: 77:[64, 4928], Operations: ['96+80=176', '28*176=4928']
Exploring Operation: 4928/64=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
11,
58,
34,
16
] | 65 | [
"58-11=47",
"34-16=18",
"47+18=65"
] | Current State: 65:[11, 58, 34, 16], Operations: []
Exploring Operation: 58-11=47, Resulting Numbers: [34, 16, 47]
Generated Node #2: [34, 16, 47] from Operation: 58-11=47
Current State: 65:[34, 16, 47], Operations: ['58-11=47']
Exploring Operation: 34-16=18, Resulting Numbers: [47, 18]
Generated Node #3: [47, 18] from Operation: 34-16=18
Current State: 65:[47, 18], Operations: ['58-11=47', '34-16=18']
Exploring Operation: 47+18=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
62,
76,
69,
23
] | 25 | [
"62+76=138",
"138/69=2",
"23+2=25"
] | Current State: 25:[62, 76, 69, 23], Operations: []
Exploring Operation: 62+76=138, Resulting Numbers: [69, 23, 138]
Generated Node #2: [69, 23, 138] from Operation: 62+76=138
Current State: 25:[69, 23, 138], Operations: ['62+76=138']
Exploring Operation: 138/69=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 138/69=2
Current State: 25:[23, 2], Operations: ['62+76=138', '138/69=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
9,
12,
69,
35
] | 39 | [
"12*35=420",
"420-69=351",
"351/9=39"
] | Current State: 39:[9, 12, 69, 35], Operations: []
Exploring Operation: 12*35=420, Resulting Numbers: [9, 69, 420]
Generated Node #2: [9, 69, 420] from Operation: 12*35=420
Current State: 39:[9, 69, 420], Operations: ['12*35=420']
Exploring Operation: 420-69=351, Resulting Numbers: [9, 351]
Generated Node #3: [9, 351] from Operation: 420-69=351
Current State: 39:[9, 351], Operations: ['12*35=420', '420-69=351']
Exploring Operation: 351/9=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
40,
15,
76,
41
] | 92 | [
"40-15=25",
"76+41=117",
"117-25=92"
] | Current State: 92:[40, 15, 76, 41], Operations: []
Exploring Operation: 40-15=25, Resulting Numbers: [76, 41, 25]
Generated Node #2: [76, 41, 25] from Operation: 40-15=25
Current State: 92:[76, 41, 25], Operations: ['40-15=25']
Exploring Operation: 76+41=117, Resulting Numbers: [25, 117]
Generated Node #3: [25, 117] from Operation: 76+41=117
Current State: 92:[25, 117], Operations: ['40-15=25', '76+41=117']
Exploring Operation: 117-25=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
5,
28,
25,
18
] | 41 | [
"25/5=5",
"28+18=46",
"46-5=41"
] | Current State: 41:[5, 28, 25, 18], Operations: []
Exploring Operation: 25/5=5, Resulting Numbers: [28, 18, 5]
Generated Node #2: [28, 18, 5] from Operation: 25/5=5
Current State: 41:[28, 18, 5], Operations: ['25/5=5']
Exploring Operation: 28+18=46, Resulting Numbers: [5, 46]
Generated Node #3: [5, 46] from Operation: 28+18=46
Current State: 41:[5, 46], Operations: ['25/5=5', '28+18=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
8,
36,
29,
41
] | 32 | [
"8+36=44",
"41-29=12",
"44-12=32"
] | Current State: 32:[8, 36, 29, 41], Operations: []
Exploring Operation: 8+36=44, Resulting Numbers: [29, 41, 44]
Generated Node #2: [29, 41, 44] from Operation: 8+36=44
Current State: 32:[29, 41, 44], Operations: ['8+36=44']
Exploring Operation: 41-29=12, Resulting Numbers: [44, 12]
Generated Node #3: [44, 12] from Operation: 41-29=12
Current State: 32:[44, 12], Operations: ['8+36=44', '41-29=12']
Exploring Operation: 44-12=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
68,
9,
66,
62
] | 99 | [
"68-62=6",
"9*66=594",
"594/6=99"
] | Current State: 99:[68, 9, 66, 62], Operations: []
Exploring Operation: 68-62=6, Resulting Numbers: [9, 66, 6]
Generated Node #2: [9, 66, 6] from Operation: 68-62=6
Current State: 99:[9, 66, 6], Operations: ['68-62=6']
Exploring Operation: 9*66=594, Resulting Numbers: [6, 594]
Generated Node #3: [6, 594] from Operation: 9*66=594
Current State: 99:[6, 594], Operations: ['68-62=6', '9*66=594']
Exploring Operation: 594/6=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
6,
3,
91,
11
] | 32 | [
"91-6=85",
"11+85=96",
"96/3=32"
] | Current State: 32:[6, 3, 91, 11], Operations: []
Exploring Operation: 91-6=85, Resulting Numbers: [3, 11, 85]
Generated Node #2: [3, 11, 85] from Operation: 91-6=85
Current State: 32:[3, 11, 85], Operations: ['91-6=85']
Exploring Operation: 11+85=96, Resulting Numbers: [3, 96]
Generated Node #3: [3, 96] from Operation: 11+85=96
Current State: 32:[3, 96], Operations: ['91-6=85', '11+85=96']
Exploring Operation: 96/3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
24,
18,
30,
51
] | 61 | [
"30*51=1530",
"1530/18=85",
"85-24=61"
] | Current State: 61:[24, 18, 30, 51], Operations: []
Exploring Operation: 30*51=1530, Resulting Numbers: [24, 18, 1530]
Generated Node #2: [24, 18, 1530] from Operation: 30*51=1530
Current State: 61:[24, 18, 1530], Operations: ['30*51=1530']
Exploring Operation: 1530/18=85, Resulting Numbers: [24, 85]
Generated Node #3: [24, 85] from Operation: 1530/18=85
Current State: 61:[24, 85], Operations: ['30*51=1530', '1530/18=85']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
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