nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
13,
16,
17,
34
] | 47 | [
"13+34=47",
"17-16=1",
"47*1=47"
] | Current State: 47:[13, 16, 17, 34], Operations: []
Exploring Operation: 13+34=47, Resulting Numbers: [16, 17, 47]
Generated Node #2: [16, 17, 47] from Operation: 13+34=47
Current State: 47:[16, 17, 47], Operations: ['13+34=47']
Exploring Operation: 17-16=1, Resulting Numbers: [47, 1]
Generated Node #3: [47, 1] from Operation: 17-16=1
Current State: 47:[47, 1], Operations: ['13+34=47', '17-16=1']
Exploring Operation: 47*1=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
67,
27,
36,
42
] | 11 | [
"36*42=1512",
"1512/27=56",
"67-56=11"
] | Current State: 11:[67, 27, 36, 42], Operations: []
Exploring Operation: 36*42=1512, Resulting Numbers: [67, 27, 1512]
Generated Node #2: [67, 27, 1512] from Operation: 36*42=1512
Current State: 11:[67, 27, 1512], Operations: ['36*42=1512']
Exploring Operation: 1512/27=56, Resulting Numbers: [67, 56]
Generated Node #3: [67, 56] from Operation: 1512/27=56
Current State: 11:[67, 56], Operations: ['36*42=1512', '1512/27=56']
Exploring Operation: 67-56=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
68,
4,
24,
6
] | 17 | [
"68+24=92",
"92/4=23",
"23-6=17"
] | Current State: 17:[68, 4, 24, 6], Operations: []
Exploring Operation: 68+24=92, Resulting Numbers: [4, 6, 92]
Generated Node #2: [4, 6, 92] from Operation: 68+24=92
Current State: 17:[4, 6, 92], Operations: ['68+24=92']
Exploring Operation: 92/4=23, Resulting Numbers: [6, 23]
Generated Node #3: [6, 23] from Operation: 92/4=23
Current State: 17:[6, 23], Operations: ['68+24=92', '92/4=23']
Exploring Operation: 23-6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
59,
60,
16,
40
] | 25 | [
"60-59=1",
"40-16=24",
"1+24=25"
] | Current State: 25:[59, 60, 16, 40], Operations: []
Exploring Operation: 60-59=1, Resulting Numbers: [16, 40, 1]
Generated Node #2: [16, 40, 1] from Operation: 60-59=1
Current State: 25:[16, 40, 1], Operations: ['60-59=1']
Exploring Operation: 40-16=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 40-16=24
Current State: 25:[1, 24], Operations: ['60-59=1', '40-16=24']
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
26,
91,
96,
7
] | 13 | [
"96-91=5",
"7-5=2",
"26/2=13"
] | Current State: 13:[26, 91, 96, 7], Operations: []
Exploring Operation: 96-91=5, Resulting Numbers: [26, 7, 5]
Generated Node #2: [26, 7, 5] from Operation: 96-91=5
Current State: 13:[26, 7, 5], Operations: ['96-91=5']
Exploring Operation: 7-5=2, Resulting Numbers: [26, 2]
Generated Node #3: [26, 2] from Operation: 7-5=2
Current State: 13:[26, 2], Operations: ['96-91=5', '7-5=2']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
89,
10,
8,
30
] | 94 | [
"89+8=97",
"30/10=3",
"97-3=94"
] | Current State: 94:[89, 10, 8, 30], Operations: []
Exploring Operation: 89+8=97, Resulting Numbers: [10, 30, 97]
Generated Node #2: [10, 30, 97] from Operation: 89+8=97
Current State: 94:[10, 30, 97], Operations: ['89+8=97']
Exploring Operation: 30/10=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 30/10=3
Current State: 94:[97, 3], Operations: ['89+8=97', '30/10=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
17,
51,
53
] | 27 | [
"53-51=2",
"17*2=34",
"34-7=27"
] | Current State: 27:[7, 17, 51, 53], Operations: []
Exploring Operation: 53-51=2, Resulting Numbers: [7, 17, 2]
Generated Node #2: [7, 17, 2] from Operation: 53-51=2
Current State: 27:[7, 17, 2], Operations: ['53-51=2']
Exploring Operation: 17*2=34, Resulting Numbers: [7, 34]
Generated Node #3: [7, 34] from Operation: 17*2=34
Current State: 27:[7, 34], Operations: ['53-51=2', '17*2=34']
Exploring Operation: 34-7=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
13,
19,
8,
7
] | 66 | [
"13-7=6",
"19-8=11",
"6*11=66"
] | Current State: 66:[13, 19, 8, 7], Operations: []
Exploring Operation: 13-7=6, Resulting Numbers: [19, 8, 6]
Generated Node #2: [19, 8, 6] from Operation: 13-7=6
Current State: 66:[19, 8, 6], Operations: ['13-7=6']
Exploring Operation: 19-8=11, Resulting Numbers: [6, 11]
Generated Node #3: [6, 11] from Operation: 19-8=11
Current State: 66:[6, 11], Operations: ['13-7=6', '19-8=11']
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
24,
58,
64,
88
] | 91 | [
"24*88=2112",
"2112/64=33",
"58+33=91"
] | Current State: 91:[24, 58, 64, 88], Operations: []
Exploring Operation: 24*88=2112, Resulting Numbers: [58, 64, 2112]
Generated Node #2: [58, 64, 2112] from Operation: 24*88=2112
Current State: 91:[58, 64, 2112], Operations: ['24*88=2112']
Exploring Operation: 2112/64=33, Resulting Numbers: [58, 33]
Generated Node #3: [58, 33] from Operation: 2112/64=33
Current State: 91:[58, 33], Operations: ['24*88=2112', '2112/64=33']
Exploring Operation: 58+33=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
2,
29,
7,
66
] | 32 | [
"29-2=27",
"66-7=59",
"59-27=32"
] | Current State: 32:[2, 29, 7, 66], Operations: []
Exploring Operation: 29-2=27, Resulting Numbers: [7, 66, 27]
Generated Node #2: [7, 66, 27] from Operation: 29-2=27
Current State: 32:[7, 66, 27], Operations: ['29-2=27']
Exploring Operation: 66-7=59, Resulting Numbers: [27, 59]
Generated Node #3: [27, 59] from Operation: 66-7=59
Current State: 32:[27, 59], Operations: ['29-2=27', '66-7=59']
Exploring Operation: 59-27=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
55,
91,
7,
64
] | 89 | [
"55+91=146",
"64-7=57",
"146-57=89"
] | Current State: 89:[55, 91, 7, 64], Operations: []
Exploring Operation: 55+91=146, Resulting Numbers: [7, 64, 146]
Generated Node #2: [7, 64, 146] from Operation: 55+91=146
Current State: 89:[7, 64, 146], Operations: ['55+91=146']
Exploring Operation: 64-7=57, Resulting Numbers: [146, 57]
Generated Node #3: [146, 57] from Operation: 64-7=57
Current State: 89:[146, 57], Operations: ['55+91=146', '64-7=57']
Exploring Operation: 146-57=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
28,
22,
20,
2
] | 34 | [
"28-22=6",
"20*2=40",
"40-6=34"
] | Current State: 34:[28, 22, 20, 2], Operations: []
Exploring Operation: 28-22=6, Resulting Numbers: [20, 2, 6]
Generated Node #2: [20, 2, 6] from Operation: 28-22=6
Current State: 34:[20, 2, 6], Operations: ['28-22=6']
Exploring Operation: 20*2=40, Resulting Numbers: [6, 40]
Generated Node #3: [6, 40] from Operation: 20*2=40
Current State: 34:[6, 40], Operations: ['28-22=6', '20*2=40']
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
22,
17,
7,
53
] | 18 | [
"22-17=5",
"7*5=35",
"53-35=18"
] | Current State: 18:[22, 17, 7, 53], Operations: []
Exploring Operation: 22-17=5, Resulting Numbers: [7, 53, 5]
Generated Node #2: [7, 53, 5] from Operation: 22-17=5
Current State: 18:[7, 53, 5], Operations: ['22-17=5']
Exploring Operation: 7*5=35, Resulting Numbers: [53, 35]
Generated Node #3: [53, 35] from Operation: 7*5=35
Current State: 18:[53, 35], Operations: ['22-17=5', '7*5=35']
Exploring Operation: 53-35=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
25,
8,
70,
24
] | 92 | [
"25+70=95",
"24/8=3",
"95-3=92"
] | Current State: 92:[25, 8, 70, 24], Operations: []
Exploring Operation: 25+70=95, Resulting Numbers: [8, 24, 95]
Generated Node #2: [8, 24, 95] from Operation: 25+70=95
Current State: 92:[8, 24, 95], Operations: ['25+70=95']
Exploring Operation: 24/8=3, Resulting Numbers: [95, 3]
Generated Node #3: [95, 3] from Operation: 24/8=3
Current State: 92:[95, 3], Operations: ['25+70=95', '24/8=3']
Exploring Operation: 95-3=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
2,
61,
53,
42
] | 25 | [
"61-53=8",
"42+8=50",
"50/2=25"
] | Current State: 25:[2, 61, 53, 42], Operations: []
Exploring Operation: 61-53=8, Resulting Numbers: [2, 42, 8]
Generated Node #2: [2, 42, 8] from Operation: 61-53=8
Current State: 25:[2, 42, 8], Operations: ['61-53=8']
Exploring Operation: 42+8=50, Resulting Numbers: [2, 50]
Generated Node #3: [2, 50] from Operation: 42+8=50
Current State: 25:[2, 50], Operations: ['61-53=8', '42+8=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
84,
94,
93,
17
] | 68 | [
"84+94=178",
"93+17=110",
"178-110=68"
] | Current State: 68:[84, 94, 93, 17], Operations: []
Exploring Operation: 84+94=178, Resulting Numbers: [93, 17, 178]
Generated Node #2: [93, 17, 178] from Operation: 84+94=178
Current State: 68:[93, 17, 178], Operations: ['84+94=178']
Exploring Operation: 93+17=110, Resulting Numbers: [178, 110]
Generated Node #3: [178, 110] from Operation: 93+17=110
Current State: 68:[178, 110], Operations: ['84+94=178', '93+17=110']
Exploring Operation: 178-110=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
74,
75,
71,
21
] | 46 | [
"74-71=3",
"75/3=25",
"21+25=46"
] | Current State: 46:[74, 75, 71, 21], Operations: []
Exploring Operation: 74-71=3, Resulting Numbers: [75, 21, 3]
Generated Node #2: [75, 21, 3] from Operation: 74-71=3
Current State: 46:[75, 21, 3], Operations: ['74-71=3']
Exploring Operation: 75/3=25, Resulting Numbers: [21, 25]
Generated Node #3: [21, 25] from Operation: 75/3=25
Current State: 46:[21, 25], Operations: ['74-71=3', '75/3=25']
Exploring Operation: 21+25=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
57,
45,
47,
53
] | 49 | [
"47-45=2",
"53*2=106",
"106-57=49"
] | Current State: 49:[57, 45, 47, 53], Operations: []
Exploring Operation: 47-45=2, Resulting Numbers: [57, 53, 2]
Generated Node #2: [57, 53, 2] from Operation: 47-45=2
Current State: 49:[57, 53, 2], Operations: ['47-45=2']
Exploring Operation: 53*2=106, Resulting Numbers: [57, 106]
Generated Node #3: [57, 106] from Operation: 53*2=106
Current State: 49:[57, 106], Operations: ['47-45=2', '53*2=106']
Exploring Operation: 106-57=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
2,
61,
99,
68
] | 69 | [
"2*99=198",
"61+68=129",
"198-129=69"
] | Current State: 69:[2, 61, 99, 68], Operations: []
Exploring Operation: 2*99=198, Resulting Numbers: [61, 68, 198]
Generated Node #2: [61, 68, 198] from Operation: 2*99=198
Current State: 69:[61, 68, 198], Operations: ['2*99=198']
Exploring Operation: 61+68=129, Resulting Numbers: [198, 129]
Generated Node #3: [198, 129] from Operation: 61+68=129
Current State: 69:[198, 129], Operations: ['2*99=198', '61+68=129']
Exploring Operation: 198-129=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
73,
98,
20,
32
] | 37 | [
"98-73=25",
"32-20=12",
"25+12=37"
] | Current State: 37:[73, 98, 20, 32], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [20, 32, 25]
Generated Node #2: [20, 32, 25] from Operation: 98-73=25
Current State: 37:[20, 32, 25], Operations: ['98-73=25']
Exploring Operation: 32-20=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 32-20=12
Current State: 37:[25, 12], Operations: ['98-73=25', '32-20=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
55,
1,
57,
37
] | 19 | [
"57-55=2",
"1+37=38",
"38/2=19"
] | Current State: 19:[55, 1, 57, 37], Operations: []
Exploring Operation: 57-55=2, Resulting Numbers: [1, 37, 2]
Generated Node #2: [1, 37, 2] from Operation: 57-55=2
Current State: 19:[1, 37, 2], Operations: ['57-55=2']
Exploring Operation: 1+37=38, Resulting Numbers: [2, 38]
Generated Node #3: [2, 38] from Operation: 1+37=38
Current State: 19:[2, 38], Operations: ['57-55=2', '1+37=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
67,
27,
90,
6
] | 44 | [
"67-27=40",
"90-6=84",
"84-40=44"
] | Current State: 44:[67, 27, 90, 6], Operations: []
Exploring Operation: 67-27=40, Resulting Numbers: [90, 6, 40]
Generated Node #2: [90, 6, 40] from Operation: 67-27=40
Current State: 44:[90, 6, 40], Operations: ['67-27=40']
Exploring Operation: 90-6=84, Resulting Numbers: [40, 84]
Generated Node #3: [40, 84] from Operation: 90-6=84
Current State: 44:[40, 84], Operations: ['67-27=40', '90-6=84']
Exploring Operation: 84-40=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
95,
20,
59,
31
] | 100 | [
"95-59=36",
"36-31=5",
"20*5=100"
] | Current State: 100:[95, 20, 59, 31], Operations: []
Exploring Operation: 95-59=36, Resulting Numbers: [20, 31, 36]
Generated Node #2: [20, 31, 36] from Operation: 95-59=36
Current State: 100:[20, 31, 36], Operations: ['95-59=36']
Exploring Operation: 36-31=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 36-31=5
Current State: 100:[20, 5], Operations: ['95-59=36', '36-31=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
59,
36,
48,
81
] | 62 | [
"59+36=95",
"81-48=33",
"95-33=62"
] | Current State: 62:[59, 36, 48, 81], Operations: []
Exploring Operation: 59+36=95, Resulting Numbers: [48, 81, 95]
Generated Node #2: [48, 81, 95] from Operation: 59+36=95
Current State: 62:[48, 81, 95], Operations: ['59+36=95']
Exploring Operation: 81-48=33, Resulting Numbers: [95, 33]
Generated Node #3: [95, 33] from Operation: 81-48=33
Current State: 62:[95, 33], Operations: ['59+36=95', '81-48=33']
Exploring Operation: 95-33=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
2,
71,
28,
4
] | 87 | [
"28+4=32",
"32/2=16",
"71+16=87"
] | Current State: 87:[2, 71, 28, 4], Operations: []
Exploring Operation: 28+4=32, Resulting Numbers: [2, 71, 32]
Generated Node #2: [2, 71, 32] from Operation: 28+4=32
Current State: 87:[2, 71, 32], Operations: ['28+4=32']
Exploring Operation: 32/2=16, Resulting Numbers: [71, 16]
Generated Node #3: [71, 16] from Operation: 32/2=16
Current State: 87:[71, 16], Operations: ['28+4=32', '32/2=16']
Exploring Operation: 71+16=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
42,
7,
28,
68
] | 89 | [
"42+7=49",
"68-28=40",
"49+40=89"
] | Current State: 89:[42, 7, 28, 68], Operations: []
Exploring Operation: 42+7=49, Resulting Numbers: [28, 68, 49]
Generated Node #2: [28, 68, 49] from Operation: 42+7=49
Current State: 89:[28, 68, 49], Operations: ['42+7=49']
Exploring Operation: 68-28=40, Resulting Numbers: [49, 40]
Generated Node #3: [49, 40] from Operation: 68-28=40
Current State: 89:[49, 40], Operations: ['42+7=49', '68-28=40']
Exploring Operation: 49+40=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
79,
33,
20,
11
] | 37 | [
"79-33=46",
"20-11=9",
"46-9=37"
] | Current State: 37:[79, 33, 20, 11], Operations: []
Exploring Operation: 79-33=46, Resulting Numbers: [20, 11, 46]
Generated Node #2: [20, 11, 46] from Operation: 79-33=46
Current State: 37:[20, 11, 46], Operations: ['79-33=46']
Exploring Operation: 20-11=9, Resulting Numbers: [46, 9]
Generated Node #3: [46, 9] from Operation: 20-11=9
Current State: 37:[46, 9], Operations: ['79-33=46', '20-11=9']
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
32,
16,
95,
12
] | 97 | [
"32-16=16",
"12*16=192",
"192-95=97"
] | Current State: 97:[32, 16, 95, 12], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [95, 12, 16]
Generated Node #2: [95, 12, 16] from Operation: 32-16=16
Current State: 97:[95, 12, 16], Operations: ['32-16=16']
Exploring Operation: 12*16=192, Resulting Numbers: [95, 192]
Generated Node #3: [95, 192] from Operation: 12*16=192
Current State: 97:[95, 192], Operations: ['32-16=16', '12*16=192']
Exploring Operation: 192-95=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
20,
25,
55,
77
] | 81 | [
"25+55=80",
"80/20=4",
"77+4=81"
] | Current State: 81:[20, 25, 55, 77], Operations: []
Exploring Operation: 25+55=80, Resulting Numbers: [20, 77, 80]
Generated Node #2: [20, 77, 80] from Operation: 25+55=80
Current State: 81:[20, 77, 80], Operations: ['25+55=80']
Exploring Operation: 80/20=4, Resulting Numbers: [77, 4]
Generated Node #3: [77, 4] from Operation: 80/20=4
Current State: 81:[77, 4], Operations: ['25+55=80', '80/20=4']
Exploring Operation: 77+4=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
56,
3,
64,
60
] | 49 | [
"56-3=53",
"64-60=4",
"53-4=49"
] | Current State: 49:[56, 3, 64, 60], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [64, 60, 53]
Generated Node #2: [64, 60, 53] from Operation: 56-3=53
Current State: 49:[64, 60, 53], Operations: ['56-3=53']
Exploring Operation: 64-60=4, Resulting Numbers: [53, 4]
Generated Node #3: [53, 4] from Operation: 64-60=4
Current State: 49:[53, 4], Operations: ['56-3=53', '64-60=4']
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
59,
2,
24,
13
] | 98 | [
"59+2=61",
"24+13=37",
"61+37=98"
] | Current State: 98:[59, 2, 24, 13], Operations: []
Exploring Operation: 59+2=61, Resulting Numbers: [24, 13, 61]
Generated Node #2: [24, 13, 61] from Operation: 59+2=61
Current State: 98:[24, 13, 61], Operations: ['59+2=61']
Exploring Operation: 24+13=37, Resulting Numbers: [61, 37]
Generated Node #3: [61, 37] from Operation: 24+13=37
Current State: 98:[61, 37], Operations: ['59+2=61', '24+13=37']
Exploring Operation: 61+37=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
90,
8,
83,
12
] | 10 | [
"83-8=75",
"12*75=900",
"900/90=10"
] | Current State: 10:[90, 8, 83, 12], Operations: []
Exploring Operation: 83-8=75, Resulting Numbers: [90, 12, 75]
Generated Node #2: [90, 12, 75] from Operation: 83-8=75
Current State: 10:[90, 12, 75], Operations: ['83-8=75']
Exploring Operation: 12*75=900, Resulting Numbers: [90, 900]
Generated Node #3: [90, 900] from Operation: 12*75=900
Current State: 10:[90, 900], Operations: ['83-8=75', '12*75=900']
Exploring Operation: 900/90=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
9,
3,
37,
1
] | 12 | [
"9/3=3",
"37-1=36",
"36/3=12"
] | Current State: 12:[9, 3, 37, 1], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [37, 1, 3]
Generated Node #2: [37, 1, 3] from Operation: 9/3=3
Current State: 12:[37, 1, 3], Operations: ['9/3=3']
Exploring Operation: 37-1=36, Resulting Numbers: [3, 36]
Generated Node #3: [3, 36] from Operation: 37-1=36
Current State: 12:[3, 36], Operations: ['9/3=3', '37-1=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
93,
2,
60,
26
] | 61 | [
"93+2=95",
"60-26=34",
"95-34=61"
] | Current State: 61:[93, 2, 60, 26], Operations: []
Exploring Operation: 93+2=95, Resulting Numbers: [60, 26, 95]
Generated Node #2: [60, 26, 95] from Operation: 93+2=95
Current State: 61:[60, 26, 95], Operations: ['93+2=95']
Exploring Operation: 60-26=34, Resulting Numbers: [95, 34]
Generated Node #3: [95, 34] from Operation: 60-26=34
Current State: 61:[95, 34], Operations: ['93+2=95', '60-26=34']
Exploring Operation: 95-34=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
3,
66,
30,
39
] | 63 | [
"3*30=90",
"66-39=27",
"90-27=63"
] | Current State: 63:[3, 66, 30, 39], Operations: []
Exploring Operation: 3*30=90, Resulting Numbers: [66, 39, 90]
Generated Node #2: [66, 39, 90] from Operation: 3*30=90
Current State: 63:[66, 39, 90], Operations: ['3*30=90']
Exploring Operation: 66-39=27, Resulting Numbers: [90, 27]
Generated Node #3: [90, 27] from Operation: 66-39=27
Current State: 63:[90, 27], Operations: ['3*30=90', '66-39=27']
Exploring Operation: 90-27=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
54,
79,
65,
51
] | 39 | [
"79-54=25",
"65-51=14",
"25+14=39"
] | Current State: 39:[54, 79, 65, 51], Operations: []
Exploring Operation: 79-54=25, Resulting Numbers: [65, 51, 25]
Generated Node #2: [65, 51, 25] from Operation: 79-54=25
Current State: 39:[65, 51, 25], Operations: ['79-54=25']
Exploring Operation: 65-51=14, Resulting Numbers: [25, 14]
Generated Node #3: [25, 14] from Operation: 65-51=14
Current State: 39:[25, 14], Operations: ['79-54=25', '65-51=14']
Exploring Operation: 25+14=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
34,
11,
38,
93
] | 26 | [
"38-34=4",
"11+93=104",
"104/4=26"
] | Current State: 26:[34, 11, 38, 93], Operations: []
Exploring Operation: 38-34=4, Resulting Numbers: [11, 93, 4]
Generated Node #2: [11, 93, 4] from Operation: 38-34=4
Current State: 26:[11, 93, 4], Operations: ['38-34=4']
Exploring Operation: 11+93=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 11+93=104
Current State: 26:[4, 104], Operations: ['38-34=4', '11+93=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
37,
71,
5,
16
] | 28 | [
"37+71=108",
"5*16=80",
"108-80=28"
] | Current State: 28:[37, 71, 5, 16], Operations: []
Exploring Operation: 37+71=108, Resulting Numbers: [5, 16, 108]
Generated Node #2: [5, 16, 108] from Operation: 37+71=108
Current State: 28:[5, 16, 108], Operations: ['37+71=108']
Exploring Operation: 5*16=80, Resulting Numbers: [108, 80]
Generated Node #3: [108, 80] from Operation: 5*16=80
Current State: 28:[108, 80], Operations: ['37+71=108', '5*16=80']
Exploring Operation: 108-80=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
95,
13,
49,
98
] | 54 | [
"95+13=108",
"98/49=2",
"108/2=54"
] | Current State: 54:[95, 13, 49, 98], Operations: []
Exploring Operation: 95+13=108, Resulting Numbers: [49, 98, 108]
Generated Node #2: [49, 98, 108] from Operation: 95+13=108
Current State: 54:[49, 98, 108], Operations: ['95+13=108']
Exploring Operation: 98/49=2, Resulting Numbers: [108, 2]
Generated Node #3: [108, 2] from Operation: 98/49=2
Current State: 54:[108, 2], Operations: ['95+13=108', '98/49=2']
Exploring Operation: 108/2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
78,
36,
47,
85
] | 18 | [
"78+36=114",
"47+85=132",
"132-114=18"
] | Current State: 18:[78, 36, 47, 85], Operations: []
Exploring Operation: 78+36=114, Resulting Numbers: [47, 85, 114]
Generated Node #2: [47, 85, 114] from Operation: 78+36=114
Current State: 18:[47, 85, 114], Operations: ['78+36=114']
Exploring Operation: 47+85=132, Resulting Numbers: [114, 132]
Generated Node #3: [114, 132] from Operation: 47+85=132
Current State: 18:[114, 132], Operations: ['78+36=114', '47+85=132']
Exploring Operation: 132-114=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
79,
67,
22,
60
] | 75 | [
"67-60=7",
"22*7=154",
"154-79=75"
] | Current State: 75:[79, 67, 22, 60], Operations: []
Exploring Operation: 67-60=7, Resulting Numbers: [79, 22, 7]
Generated Node #2: [79, 22, 7] from Operation: 67-60=7
Current State: 75:[79, 22, 7], Operations: ['67-60=7']
Exploring Operation: 22*7=154, Resulting Numbers: [79, 154]
Generated Node #3: [79, 154] from Operation: 22*7=154
Current State: 75:[79, 154], Operations: ['67-60=7', '22*7=154']
Exploring Operation: 154-79=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
59,
25,
88,
68
] | 44 | [
"59-25=34",
"88*34=2992",
"2992/68=44"
] | Current State: 44:[59, 25, 88, 68], Operations: []
Exploring Operation: 59-25=34, Resulting Numbers: [88, 68, 34]
Generated Node #2: [88, 68, 34] from Operation: 59-25=34
Current State: 44:[88, 68, 34], Operations: ['59-25=34']
Exploring Operation: 88*34=2992, Resulting Numbers: [68, 2992]
Generated Node #3: [68, 2992] from Operation: 88*34=2992
Current State: 44:[68, 2992], Operations: ['59-25=34', '88*34=2992']
Exploring Operation: 2992/68=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
60,
73,
42,
45
] | 39 | [
"73-60=13",
"45-42=3",
"13*3=39"
] | Current State: 39:[60, 73, 42, 45], Operations: []
Exploring Operation: 73-60=13, Resulting Numbers: [42, 45, 13]
Generated Node #2: [42, 45, 13] from Operation: 73-60=13
Current State: 39:[42, 45, 13], Operations: ['73-60=13']
Exploring Operation: 45-42=3, Resulting Numbers: [13, 3]
Generated Node #3: [13, 3] from Operation: 45-42=3
Current State: 39:[13, 3], Operations: ['73-60=13', '45-42=3']
Exploring Operation: 13*3=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
20,
13,
93,
71
] | 15 | [
"20-13=7",
"93-71=22",
"22-7=15"
] | Current State: 15:[20, 13, 93, 71], Operations: []
Exploring Operation: 20-13=7, Resulting Numbers: [93, 71, 7]
Generated Node #2: [93, 71, 7] from Operation: 20-13=7
Current State: 15:[93, 71, 7], Operations: ['20-13=7']
Exploring Operation: 93-71=22, Resulting Numbers: [7, 22]
Generated Node #3: [7, 22] from Operation: 93-71=22
Current State: 15:[7, 22], Operations: ['20-13=7', '93-71=22']
Exploring Operation: 22-7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
3,
8,
64,
42
] | 37 | [
"3+42=45",
"64/8=8",
"45-8=37"
] | Current State: 37:[3, 8, 64, 42], Operations: []
Exploring Operation: 3+42=45, Resulting Numbers: [8, 64, 45]
Generated Node #2: [8, 64, 45] from Operation: 3+42=45
Current State: 37:[8, 64, 45], Operations: ['3+42=45']
Exploring Operation: 64/8=8, Resulting Numbers: [45, 8]
Generated Node #3: [45, 8] from Operation: 64/8=8
Current State: 37:[45, 8], Operations: ['3+42=45', '64/8=8']
Exploring Operation: 45-8=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
15,
75,
24,
5
] | 25 | [
"75/15=5",
"5/5=1",
"24+1=25"
] | Current State: 25:[15, 75, 24, 5], Operations: []
Exploring Operation: 75/15=5, Resulting Numbers: [24, 5, 5]
Generated Node #2: [24, 5, 5] from Operation: 75/15=5
Current State: 25:[24, 5, 5], Operations: ['75/15=5']
Exploring Operation: 5/5=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 5/5=1
Current State: 25:[24, 1], Operations: ['75/15=5', '5/5=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
78,
3,
93,
1
] | 47 | [
"78*1=78",
"93/3=31",
"78-31=47"
] | Current State: 47:[78, 3, 93, 1], Operations: []
Exploring Operation: 78*1=78, Resulting Numbers: [3, 93, 78]
Generated Node #2: [3, 93, 78] from Operation: 78*1=78
Current State: 47:[3, 93, 78], Operations: ['78*1=78']
Exploring Operation: 93/3=31, Resulting Numbers: [78, 31]
Generated Node #3: [78, 31] from Operation: 93/3=31
Current State: 47:[78, 31], Operations: ['78*1=78', '93/3=31']
Exploring Operation: 78-31=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
29,
65,
60,
25
] | 20 | [
"29-25=4",
"65-60=5",
"4*5=20"
] | Current State: 20:[29, 65, 60, 25], Operations: []
Exploring Operation: 29-25=4, Resulting Numbers: [65, 60, 4]
Generated Node #2: [65, 60, 4] from Operation: 29-25=4
Current State: 20:[65, 60, 4], Operations: ['29-25=4']
Exploring Operation: 65-60=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 65-60=5
Current State: 20:[4, 5], Operations: ['29-25=4', '65-60=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
1,
28,
15,
30
] | 18 | [
"28-1=27",
"15+30=45",
"45-27=18"
] | Current State: 18:[1, 28, 15, 30], Operations: []
Exploring Operation: 28-1=27, Resulting Numbers: [15, 30, 27]
Generated Node #2: [15, 30, 27] from Operation: 28-1=27
Current State: 18:[15, 30, 27], Operations: ['28-1=27']
Exploring Operation: 15+30=45, Resulting Numbers: [27, 45]
Generated Node #3: [27, 45] from Operation: 15+30=45
Current State: 18:[27, 45], Operations: ['28-1=27', '15+30=45']
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
90,
2,
99,
87
] | 76 | [
"90-2=88",
"99-87=12",
"88-12=76"
] | Current State: 76:[90, 2, 99, 87], Operations: []
Exploring Operation: 90-2=88, Resulting Numbers: [99, 87, 88]
Generated Node #2: [99, 87, 88] from Operation: 90-2=88
Current State: 76:[99, 87, 88], Operations: ['90-2=88']
Exploring Operation: 99-87=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 99-87=12
Current State: 76:[88, 12], Operations: ['90-2=88', '99-87=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
32,
35,
76,
53
] | 26 | [
"35-32=3",
"76-53=23",
"3+23=26"
] | Current State: 26:[32, 35, 76, 53], Operations: []
Exploring Operation: 35-32=3, Resulting Numbers: [76, 53, 3]
Generated Node #2: [76, 53, 3] from Operation: 35-32=3
Current State: 26:[76, 53, 3], Operations: ['35-32=3']
Exploring Operation: 76-53=23, Resulting Numbers: [3, 23]
Generated Node #3: [3, 23] from Operation: 76-53=23
Current State: 26:[3, 23], Operations: ['35-32=3', '76-53=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
88,
60,
23,
4
] | 47 | [
"88-60=28",
"23-4=19",
"28+19=47"
] | Current State: 47:[88, 60, 23, 4], Operations: []
Exploring Operation: 88-60=28, Resulting Numbers: [23, 4, 28]
Generated Node #2: [23, 4, 28] from Operation: 88-60=28
Current State: 47:[23, 4, 28], Operations: ['88-60=28']
Exploring Operation: 23-4=19, Resulting Numbers: [28, 19]
Generated Node #3: [28, 19] from Operation: 23-4=19
Current State: 47:[28, 19], Operations: ['88-60=28', '23-4=19']
Exploring Operation: 28+19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
32,
75,
75,
73
] | 32 | [
"75-75=0",
"73*0=0",
"32+0=32"
] | Current State: 32:[32, 75, 75, 73], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [32, 73, 0]
Generated Node #2: [32, 73, 0] from Operation: 75-75=0
Current State: 32:[32, 73, 0], Operations: ['75-75=0']
Exploring Operation: 73*0=0, Resulting Numbers: [32, 0]
Generated Node #3: [32, 0] from Operation: 73*0=0
Current State: 32:[32, 0], Operations: ['75-75=0', '73*0=0']
Exploring Operation: 32+0=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
20,
80,
12,
77
] | 83 | [
"20*12=240",
"80+77=157",
"240-157=83"
] | Current State: 83:[20, 80, 12, 77], Operations: []
Exploring Operation: 20*12=240, Resulting Numbers: [80, 77, 240]
Generated Node #2: [80, 77, 240] from Operation: 20*12=240
Current State: 83:[80, 77, 240], Operations: ['20*12=240']
Exploring Operation: 80+77=157, Resulting Numbers: [240, 157]
Generated Node #3: [240, 157] from Operation: 80+77=157
Current State: 83:[240, 157], Operations: ['20*12=240', '80+77=157']
Exploring Operation: 240-157=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
86,
5,
43,
31
] | 13 | [
"86/43=2",
"31-5=26",
"26/2=13"
] | Current State: 13:[86, 5, 43, 31], Operations: []
Exploring Operation: 86/43=2, Resulting Numbers: [5, 31, 2]
Generated Node #2: [5, 31, 2] from Operation: 86/43=2
Current State: 13:[5, 31, 2], Operations: ['86/43=2']
Exploring Operation: 31-5=26, Resulting Numbers: [2, 26]
Generated Node #3: [2, 26] from Operation: 31-5=26
Current State: 13:[2, 26], Operations: ['86/43=2', '31-5=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
99,
68,
12,
5
] | 95 | [
"99-68=31",
"31-12=19",
"5*19=95"
] | Current State: 95:[99, 68, 12, 5], Operations: []
Exploring Operation: 99-68=31, Resulting Numbers: [12, 5, 31]
Generated Node #2: [12, 5, 31] from Operation: 99-68=31
Current State: 95:[12, 5, 31], Operations: ['99-68=31']
Exploring Operation: 31-12=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 31-12=19
Current State: 95:[5, 19], Operations: ['99-68=31', '31-12=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
6,
48,
6,
87
] | 99 | [
"6*6=36",
"48+87=135",
"135-36=99"
] | Current State: 99:[6, 48, 6, 87], Operations: []
Exploring Operation: 6*6=36, Resulting Numbers: [48, 87, 36]
Generated Node #2: [48, 87, 36] from Operation: 6*6=36
Current State: 99:[48, 87, 36], Operations: ['6*6=36']
Exploring Operation: 48+87=135, Resulting Numbers: [36, 135]
Generated Node #3: [36, 135] from Operation: 48+87=135
Current State: 99:[36, 135], Operations: ['6*6=36', '48+87=135']
Exploring Operation: 135-36=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
43,
52,
72,
11
] | 88 | [
"52-43=9",
"72*11=792",
"792/9=88"
] | Current State: 88:[43, 52, 72, 11], Operations: []
Exploring Operation: 52-43=9, Resulting Numbers: [72, 11, 9]
Generated Node #2: [72, 11, 9] from Operation: 52-43=9
Current State: 88:[72, 11, 9], Operations: ['52-43=9']
Exploring Operation: 72*11=792, Resulting Numbers: [9, 792]
Generated Node #3: [9, 792] from Operation: 72*11=792
Current State: 88:[9, 792], Operations: ['52-43=9', '72*11=792']
Exploring Operation: 792/9=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
77,
6,
58,
89
] | 64 | [
"77+6=83",
"58+89=147",
"147-83=64"
] | Current State: 64:[77, 6, 58, 89], Operations: []
Exploring Operation: 77+6=83, Resulting Numbers: [58, 89, 83]
Generated Node #2: [58, 89, 83] from Operation: 77+6=83
Current State: 64:[58, 89, 83], Operations: ['77+6=83']
Exploring Operation: 58+89=147, Resulting Numbers: [83, 147]
Generated Node #3: [83, 147] from Operation: 58+89=147
Current State: 64:[83, 147], Operations: ['77+6=83', '58+89=147']
Exploring Operation: 147-83=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
27,
86,
43,
56
] | 100 | [
"27+86=113",
"56-43=13",
"113-13=100"
] | Current State: 100:[27, 86, 43, 56], Operations: []
Exploring Operation: 27+86=113, Resulting Numbers: [43, 56, 113]
Generated Node #2: [43, 56, 113] from Operation: 27+86=113
Current State: 100:[43, 56, 113], Operations: ['27+86=113']
Exploring Operation: 56-43=13, Resulting Numbers: [113, 13]
Generated Node #3: [113, 13] from Operation: 56-43=13
Current State: 100:[113, 13], Operations: ['27+86=113', '56-43=13']
Exploring Operation: 113-13=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
64,
61,
34,
30
] | 24 | [
"64-61=3",
"30/3=10",
"34-10=24"
] | Current State: 24:[64, 61, 34, 30], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [34, 30, 3]
Generated Node #2: [34, 30, 3] from Operation: 64-61=3
Current State: 24:[34, 30, 3], Operations: ['64-61=3']
Exploring Operation: 30/3=10, Resulting Numbers: [34, 10]
Generated Node #3: [34, 10] from Operation: 30/3=10
Current State: 24:[34, 10], Operations: ['64-61=3', '30/3=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
9,
2,
88,
5
] | 50 | [
"2+88=90",
"90/9=10",
"5*10=50"
] | Current State: 50:[9, 2, 88, 5], Operations: []
Exploring Operation: 2+88=90, Resulting Numbers: [9, 5, 90]
Generated Node #2: [9, 5, 90] from Operation: 2+88=90
Current State: 50:[9, 5, 90], Operations: ['2+88=90']
Exploring Operation: 90/9=10, Resulting Numbers: [5, 10]
Generated Node #3: [5, 10] from Operation: 90/9=10
Current State: 50:[5, 10], Operations: ['2+88=90', '90/9=10']
Exploring Operation: 5*10=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
94,
78,
59,
56
] | 99 | [
"94-78=16",
"59+56=115",
"115-16=99"
] | Current State: 99:[94, 78, 59, 56], Operations: []
Exploring Operation: 94-78=16, Resulting Numbers: [59, 56, 16]
Generated Node #2: [59, 56, 16] from Operation: 94-78=16
Current State: 99:[59, 56, 16], Operations: ['94-78=16']
Exploring Operation: 59+56=115, Resulting Numbers: [16, 115]
Generated Node #3: [16, 115] from Operation: 59+56=115
Current State: 99:[16, 115], Operations: ['94-78=16', '59+56=115']
Exploring Operation: 115-16=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
44,
65,
8,
57
] | 45 | [
"65-8=57",
"57/57=1",
"44+1=45"
] | Current State: 45:[44, 65, 8, 57], Operations: []
Exploring Operation: 65-8=57, Resulting Numbers: [44, 57, 57]
Generated Node #2: [44, 57, 57] from Operation: 65-8=57
Current State: 45:[44, 57, 57], Operations: ['65-8=57']
Exploring Operation: 57/57=1, Resulting Numbers: [44, 1]
Generated Node #3: [44, 1] from Operation: 57/57=1
Current State: 45:[44, 1], Operations: ['65-8=57', '57/57=1']
Exploring Operation: 44+1=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
70,
2,
30,
57
] | 45 | [
"70+2=72",
"57-30=27",
"72-27=45"
] | Current State: 45:[70, 2, 30, 57], Operations: []
Exploring Operation: 70+2=72, Resulting Numbers: [30, 57, 72]
Generated Node #2: [30, 57, 72] from Operation: 70+2=72
Current State: 45:[30, 57, 72], Operations: ['70+2=72']
Exploring Operation: 57-30=27, Resulting Numbers: [72, 27]
Generated Node #3: [72, 27] from Operation: 57-30=27
Current State: 45:[72, 27], Operations: ['70+2=72', '57-30=27']
Exploring Operation: 72-27=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
43,
4,
8,
68
] | 58 | [
"68-8=60",
"60/4=15",
"43+15=58"
] | Current State: 58:[43, 4, 8, 68], Operations: []
Exploring Operation: 68-8=60, Resulting Numbers: [43, 4, 60]
Generated Node #2: [43, 4, 60] from Operation: 68-8=60
Current State: 58:[43, 4, 60], Operations: ['68-8=60']
Exploring Operation: 60/4=15, Resulting Numbers: [43, 15]
Generated Node #3: [43, 15] from Operation: 60/4=15
Current State: 58:[43, 15], Operations: ['68-8=60', '60/4=15']
Exploring Operation: 43+15=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
27,
82,
31,
62
] | 68 | [
"82*31=2542",
"2542/62=41",
"27+41=68"
] | Current State: 68:[27, 82, 31, 62], Operations: []
Exploring Operation: 82*31=2542, Resulting Numbers: [27, 62, 2542]
Generated Node #2: [27, 62, 2542] from Operation: 82*31=2542
Current State: 68:[27, 62, 2542], Operations: ['82*31=2542']
Exploring Operation: 2542/62=41, Resulting Numbers: [27, 41]
Generated Node #3: [27, 41] from Operation: 2542/62=41
Current State: 68:[27, 41], Operations: ['82*31=2542', '2542/62=41']
Exploring Operation: 27+41=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
40,
43,
36,
18
] | 16 | [
"36*18=648",
"40+648=688",
"688/43=16"
] | Current State: 16:[40, 43, 36, 18], Operations: []
Exploring Operation: 36*18=648, Resulting Numbers: [40, 43, 648]
Generated Node #2: [40, 43, 648] from Operation: 36*18=648
Current State: 16:[40, 43, 648], Operations: ['36*18=648']
Exploring Operation: 40+648=688, Resulting Numbers: [43, 688]
Generated Node #3: [43, 688] from Operation: 40+648=688
Current State: 16:[43, 688], Operations: ['36*18=648', '40+648=688']
Exploring Operation: 688/43=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
25,
94,
99,
33
] | 66 | [
"94-25=69",
"99/33=3",
"69-3=66"
] | Current State: 66:[25, 94, 99, 33], Operations: []
Exploring Operation: 94-25=69, Resulting Numbers: [99, 33, 69]
Generated Node #2: [99, 33, 69] from Operation: 94-25=69
Current State: 66:[99, 33, 69], Operations: ['94-25=69']
Exploring Operation: 99/33=3, Resulting Numbers: [69, 3]
Generated Node #3: [69, 3] from Operation: 99/33=3
Current State: 66:[69, 3], Operations: ['94-25=69', '99/33=3']
Exploring Operation: 69-3=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
46,
73,
35,
78
] | 55 | [
"46-35=11",
"78-73=5",
"11*5=55"
] | Current State: 55:[46, 73, 35, 78], Operations: []
Exploring Operation: 46-35=11, Resulting Numbers: [73, 78, 11]
Generated Node #2: [73, 78, 11] from Operation: 46-35=11
Current State: 55:[73, 78, 11], Operations: ['46-35=11']
Exploring Operation: 78-73=5, Resulting Numbers: [11, 5]
Generated Node #3: [11, 5] from Operation: 78-73=5
Current State: 55:[11, 5], Operations: ['46-35=11', '78-73=5']
Exploring Operation: 11*5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
19,
72,
15,
18
] | 43 | [
"18-15=3",
"72/3=24",
"19+24=43"
] | Current State: 43:[19, 72, 15, 18], Operations: []
Exploring Operation: 18-15=3, Resulting Numbers: [19, 72, 3]
Generated Node #2: [19, 72, 3] from Operation: 18-15=3
Current State: 43:[19, 72, 3], Operations: ['18-15=3']
Exploring Operation: 72/3=24, Resulting Numbers: [19, 24]
Generated Node #3: [19, 24] from Operation: 72/3=24
Current State: 43:[19, 24], Operations: ['18-15=3', '72/3=24']
Exploring Operation: 19+24=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
84,
52,
54,
58
] | 32 | [
"54-52=2",
"58*2=116",
"116-84=32"
] | Current State: 32:[84, 52, 54, 58], Operations: []
Exploring Operation: 54-52=2, Resulting Numbers: [84, 58, 2]
Generated Node #2: [84, 58, 2] from Operation: 54-52=2
Current State: 32:[84, 58, 2], Operations: ['54-52=2']
Exploring Operation: 58*2=116, Resulting Numbers: [84, 116]
Generated Node #3: [84, 116] from Operation: 58*2=116
Current State: 32:[84, 116], Operations: ['54-52=2', '58*2=116']
Exploring Operation: 116-84=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
45,
18,
51,
88
] | 20 | [
"51-45=6",
"18*6=108",
"108-88=20"
] | Current State: 20:[45, 18, 51, 88], Operations: []
Exploring Operation: 51-45=6, Resulting Numbers: [18, 88, 6]
Generated Node #2: [18, 88, 6] from Operation: 51-45=6
Current State: 20:[18, 88, 6], Operations: ['51-45=6']
Exploring Operation: 18*6=108, Resulting Numbers: [88, 108]
Generated Node #3: [88, 108] from Operation: 18*6=108
Current State: 20:[88, 108], Operations: ['51-45=6', '18*6=108']
Exploring Operation: 108-88=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
79,
72,
63,
54
] | 73 | [
"72-63=9",
"54/9=6",
"79-6=73"
] | Current State: 73:[79, 72, 63, 54], Operations: []
Exploring Operation: 72-63=9, Resulting Numbers: [79, 54, 9]
Generated Node #2: [79, 54, 9] from Operation: 72-63=9
Current State: 73:[79, 54, 9], Operations: ['72-63=9']
Exploring Operation: 54/9=6, Resulting Numbers: [79, 6]
Generated Node #3: [79, 6] from Operation: 54/9=6
Current State: 73:[79, 6], Operations: ['72-63=9', '54/9=6']
Exploring Operation: 79-6=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
15,
86,
87,
27
] | 42 | [
"15+27=42",
"87-86=1",
"42*1=42"
] | Current State: 42:[15, 86, 87, 27], Operations: []
Exploring Operation: 15+27=42, Resulting Numbers: [86, 87, 42]
Generated Node #2: [86, 87, 42] from Operation: 15+27=42
Current State: 42:[86, 87, 42], Operations: ['15+27=42']
Exploring Operation: 87-86=1, Resulting Numbers: [42, 1]
Generated Node #3: [42, 1] from Operation: 87-86=1
Current State: 42:[42, 1], Operations: ['15+27=42', '87-86=1']
Exploring Operation: 42*1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
95,
20,
3,
33
] | 68 | [
"95+33=128",
"20*3=60",
"128-60=68"
] | Current State: 68:[95, 20, 3, 33], Operations: []
Exploring Operation: 95+33=128, Resulting Numbers: [20, 3, 128]
Generated Node #2: [20, 3, 128] from Operation: 95+33=128
Current State: 68:[20, 3, 128], Operations: ['95+33=128']
Exploring Operation: 20*3=60, Resulting Numbers: [128, 60]
Generated Node #3: [128, 60] from Operation: 20*3=60
Current State: 68:[128, 60], Operations: ['95+33=128', '20*3=60']
Exploring Operation: 128-60=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
4,
17,
13,
45
] | 29 | [
"17-13=4",
"4*4=16",
"45-16=29"
] | Current State: 29:[4, 17, 13, 45], Operations: []
Exploring Operation: 17-13=4, Resulting Numbers: [4, 45, 4]
Generated Node #2: [4, 45, 4] from Operation: 17-13=4
Current State: 29:[4, 45, 4], Operations: ['17-13=4']
Exploring Operation: 4*4=16, Resulting Numbers: [45, 16]
Generated Node #3: [45, 16] from Operation: 4*4=16
Current State: 29:[45, 16], Operations: ['17-13=4', '4*4=16']
Exploring Operation: 45-16=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
94,
86,
29,
60
] | 32 | [
"94+86=180",
"180/60=3",
"29+3=32"
] | Current State: 32:[94, 86, 29, 60], Operations: []
Exploring Operation: 94+86=180, Resulting Numbers: [29, 60, 180]
Generated Node #2: [29, 60, 180] from Operation: 94+86=180
Current State: 32:[29, 60, 180], Operations: ['94+86=180']
Exploring Operation: 180/60=3, Resulting Numbers: [29, 3]
Generated Node #3: [29, 3] from Operation: 180/60=3
Current State: 32:[29, 3], Operations: ['94+86=180', '180/60=3']
Exploring Operation: 29+3=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
69,
28,
25,
27
] | 13 | [
"27-25=2",
"28*2=56",
"69-56=13"
] | Current State: 13:[69, 28, 25, 27], Operations: []
Exploring Operation: 27-25=2, Resulting Numbers: [69, 28, 2]
Generated Node #2: [69, 28, 2] from Operation: 27-25=2
Current State: 13:[69, 28, 2], Operations: ['27-25=2']
Exploring Operation: 28*2=56, Resulting Numbers: [69, 56]
Generated Node #3: [69, 56] from Operation: 28*2=56
Current State: 13:[69, 56], Operations: ['27-25=2', '28*2=56']
Exploring Operation: 69-56=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
1,
67,
53,
3
] | 49 | [
"1+53=54",
"54/3=18",
"67-18=49"
] | Current State: 49:[1, 67, 53, 3], Operations: []
Exploring Operation: 1+53=54, Resulting Numbers: [67, 3, 54]
Generated Node #2: [67, 3, 54] from Operation: 1+53=54
Current State: 49:[67, 3, 54], Operations: ['1+53=54']
Exploring Operation: 54/3=18, Resulting Numbers: [67, 18]
Generated Node #3: [67, 18] from Operation: 54/3=18
Current State: 49:[67, 18], Operations: ['1+53=54', '54/3=18']
Exploring Operation: 67-18=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
7,
24,
90,
14
] | 33 | [
"14/7=2",
"90-24=66",
"66/2=33"
] | Current State: 33:[7, 24, 90, 14], Operations: []
Exploring Operation: 14/7=2, Resulting Numbers: [24, 90, 2]
Generated Node #2: [24, 90, 2] from Operation: 14/7=2
Current State: 33:[24, 90, 2], Operations: ['14/7=2']
Exploring Operation: 90-24=66, Resulting Numbers: [2, 66]
Generated Node #3: [2, 66] from Operation: 90-24=66
Current State: 33:[2, 66], Operations: ['14/7=2', '90-24=66']
Exploring Operation: 66/2=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
97,
27,
2,
19
] | 49 | [
"97-27=70",
"2+19=21",
"70-21=49"
] | Current State: 49:[97, 27, 2, 19], Operations: []
Exploring Operation: 97-27=70, Resulting Numbers: [2, 19, 70]
Generated Node #2: [2, 19, 70] from Operation: 97-27=70
Current State: 49:[2, 19, 70], Operations: ['97-27=70']
Exploring Operation: 2+19=21, Resulting Numbers: [70, 21]
Generated Node #3: [70, 21] from Operation: 2+19=21
Current State: 49:[70, 21], Operations: ['97-27=70', '2+19=21']
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
77,
93,
14,
31
] | 10 | [
"77+93=170",
"31-14=17",
"170/17=10"
] | Current State: 10:[77, 93, 14, 31], Operations: []
Exploring Operation: 77+93=170, Resulting Numbers: [14, 31, 170]
Generated Node #2: [14, 31, 170] from Operation: 77+93=170
Current State: 10:[14, 31, 170], Operations: ['77+93=170']
Exploring Operation: 31-14=17, Resulting Numbers: [170, 17]
Generated Node #3: [170, 17] from Operation: 31-14=17
Current State: 10:[170, 17], Operations: ['77+93=170', '31-14=17']
Exploring Operation: 170/17=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
77,
85,
81,
34
] | 17 | [
"77+85=162",
"81*34=2754",
"2754/162=17"
] | Current State: 17:[77, 85, 81, 34], Operations: []
Exploring Operation: 77+85=162, Resulting Numbers: [81, 34, 162]
Generated Node #2: [81, 34, 162] from Operation: 77+85=162
Current State: 17:[81, 34, 162], Operations: ['77+85=162']
Exploring Operation: 81*34=2754, Resulting Numbers: [162, 2754]
Generated Node #3: [162, 2754] from Operation: 81*34=2754
Current State: 17:[162, 2754], Operations: ['77+85=162', '81*34=2754']
Exploring Operation: 2754/162=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
76,
19,
33,
64
] | 10 | [
"76+64=140",
"33-19=14",
"140/14=10"
] | Current State: 10:[76, 19, 33, 64], Operations: []
Exploring Operation: 76+64=140, Resulting Numbers: [19, 33, 140]
Generated Node #2: [19, 33, 140] from Operation: 76+64=140
Current State: 10:[19, 33, 140], Operations: ['76+64=140']
Exploring Operation: 33-19=14, Resulting Numbers: [140, 14]
Generated Node #3: [140, 14] from Operation: 33-19=14
Current State: 10:[140, 14], Operations: ['76+64=140', '33-19=14']
Exploring Operation: 140/14=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
85,
8,
5,
63
] | 61 | [
"85*5=425",
"63+425=488",
"488/8=61"
] | Current State: 61:[85, 8, 5, 63], Operations: []
Exploring Operation: 85*5=425, Resulting Numbers: [8, 63, 425]
Generated Node #2: [8, 63, 425] from Operation: 85*5=425
Current State: 61:[8, 63, 425], Operations: ['85*5=425']
Exploring Operation: 63+425=488, Resulting Numbers: [8, 488]
Generated Node #3: [8, 488] from Operation: 63+425=488
Current State: 61:[8, 488], Operations: ['85*5=425', '63+425=488']
Exploring Operation: 488/8=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
28,
18,
48,
51
] | 82 | [
"28*51=1428",
"48+1428=1476",
"1476/18=82"
] | Current State: 82:[28, 18, 48, 51], Operations: []
Exploring Operation: 28*51=1428, Resulting Numbers: [18, 48, 1428]
Generated Node #2: [18, 48, 1428] from Operation: 28*51=1428
Current State: 82:[18, 48, 1428], Operations: ['28*51=1428']
Exploring Operation: 48+1428=1476, Resulting Numbers: [18, 1476]
Generated Node #3: [18, 1476] from Operation: 48+1428=1476
Current State: 82:[18, 1476], Operations: ['28*51=1428', '48+1428=1476']
Exploring Operation: 1476/18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
3,
56,
78,
53
] | 28 | [
"56-3=53",
"78-53=25",
"53-25=28"
] | Current State: 28:[3, 56, 78, 53], Operations: []
Exploring Operation: 56-3=53, Resulting Numbers: [78, 53, 53]
Generated Node #2: [78, 53, 53] from Operation: 56-3=53
Current State: 28:[78, 53, 53], Operations: ['56-3=53']
Exploring Operation: 78-53=25, Resulting Numbers: [25]
25,28 equal: Goal Reached
Exploring Operation: 53-25=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
28,
52,
65,
44
] | 29 | [
"28+52=80",
"65+44=109",
"109-80=29"
] | Current State: 29:[28, 52, 65, 44], Operations: []
Exploring Operation: 28+52=80, Resulting Numbers: [65, 44, 80]
Generated Node #2: [65, 44, 80] from Operation: 28+52=80
Current State: 29:[65, 44, 80], Operations: ['28+52=80']
Exploring Operation: 65+44=109, Resulting Numbers: [80, 109]
Generated Node #3: [80, 109] from Operation: 65+44=109
Current State: 29:[80, 109], Operations: ['28+52=80', '65+44=109']
Exploring Operation: 109-80=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
37,
86,
99,
14
] | 10 | [
"37+86=123",
"99+14=113",
"123-113=10"
] | Current State: 10:[37, 86, 99, 14], Operations: []
Exploring Operation: 37+86=123, Resulting Numbers: [99, 14, 123]
Generated Node #2: [99, 14, 123] from Operation: 37+86=123
Current State: 10:[99, 14, 123], Operations: ['37+86=123']
Exploring Operation: 99+14=113, Resulting Numbers: [123, 113]
Generated Node #3: [123, 113] from Operation: 99+14=113
Current State: 10:[123, 113], Operations: ['37+86=123', '99+14=113']
Exploring Operation: 123-113=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
91,
10,
23,
54
] | 24 | [
"91+10=101",
"23+54=77",
"101-77=24"
] | Current State: 24:[91, 10, 23, 54], Operations: []
Exploring Operation: 91+10=101, Resulting Numbers: [23, 54, 101]
Generated Node #2: [23, 54, 101] from Operation: 91+10=101
Current State: 24:[23, 54, 101], Operations: ['91+10=101']
Exploring Operation: 23+54=77, Resulting Numbers: [101, 77]
Generated Node #3: [101, 77] from Operation: 23+54=77
Current State: 24:[101, 77], Operations: ['91+10=101', '23+54=77']
Exploring Operation: 101-77=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
59,
85,
90,
2
] | 62 | [
"85-59=26",
"90-2=88",
"88-26=62"
] | Current State: 62:[59, 85, 90, 2], Operations: []
Exploring Operation: 85-59=26, Resulting Numbers: [90, 2, 26]
Generated Node #2: [90, 2, 26] from Operation: 85-59=26
Current State: 62:[90, 2, 26], Operations: ['85-59=26']
Exploring Operation: 90-2=88, Resulting Numbers: [26, 88]
Generated Node #3: [26, 88] from Operation: 90-2=88
Current State: 62:[26, 88], Operations: ['85-59=26', '90-2=88']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
49,
33,
84,
58
] | 42 | [
"49-33=16",
"84-58=26",
"16+26=42"
] | Current State: 42:[49, 33, 84, 58], Operations: []
Exploring Operation: 49-33=16, Resulting Numbers: [84, 58, 16]
Generated Node #2: [84, 58, 16] from Operation: 49-33=16
Current State: 42:[84, 58, 16], Operations: ['49-33=16']
Exploring Operation: 84-58=26, Resulting Numbers: [16, 26]
Generated Node #3: [16, 26] from Operation: 84-58=26
Current State: 42:[16, 26], Operations: ['49-33=16', '84-58=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
81,
73,
78,
57
] | 48 | [
"81-78=3",
"73-57=16",
"3*16=48"
] | Current State: 48:[81, 73, 78, 57], Operations: []
Exploring Operation: 81-78=3, Resulting Numbers: [73, 57, 3]
Generated Node #2: [73, 57, 3] from Operation: 81-78=3
Current State: 48:[73, 57, 3], Operations: ['81-78=3']
Exploring Operation: 73-57=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 73-57=16
Current State: 48:[3, 16], Operations: ['81-78=3', '73-57=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
24,
77,
94,
57
] | 27 | [
"77+94=171",
"171/57=3",
"24+3=27"
] | Current State: 27:[24, 77, 94, 57], Operations: []
Exploring Operation: 77+94=171, Resulting Numbers: [24, 57, 171]
Generated Node #2: [24, 57, 171] from Operation: 77+94=171
Current State: 27:[24, 57, 171], Operations: ['77+94=171']
Exploring Operation: 171/57=3, Resulting Numbers: [24, 3]
Generated Node #3: [24, 3] from Operation: 171/57=3
Current State: 27:[24, 3], Operations: ['77+94=171', '171/57=3']
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
5,
71,
29,
19
] | 33 | [
"5+71=76",
"76/19=4",
"29+4=33"
] | Current State: 33:[5, 71, 29, 19], Operations: []
Exploring Operation: 5+71=76, Resulting Numbers: [29, 19, 76]
Generated Node #2: [29, 19, 76] from Operation: 5+71=76
Current State: 33:[29, 19, 76], Operations: ['5+71=76']
Exploring Operation: 76/19=4, Resulting Numbers: [29, 4]
Generated Node #3: [29, 4] from Operation: 76/19=4
Current State: 33:[29, 4], Operations: ['5+71=76', '76/19=4']
Exploring Operation: 29+4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
55,
71,
82,
25
] | 73 | [
"71-55=16",
"82-25=57",
"16+57=73"
] | Current State: 73:[55, 71, 82, 25], Operations: []
Exploring Operation: 71-55=16, Resulting Numbers: [82, 25, 16]
Generated Node #2: [82, 25, 16] from Operation: 71-55=16
Current State: 73:[82, 25, 16], Operations: ['71-55=16']
Exploring Operation: 82-25=57, Resulting Numbers: [16, 57]
Generated Node #3: [16, 57] from Operation: 82-25=57
Current State: 73:[16, 57], Operations: ['71-55=16', '82-25=57']
Exploring Operation: 16+57=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
8,
41,
82,
62
] | 52 | [
"62-8=54",
"82/41=2",
"54-2=52"
] | Current State: 52:[8, 41, 82, 62], Operations: []
Exploring Operation: 62-8=54, Resulting Numbers: [41, 82, 54]
Generated Node #2: [41, 82, 54] from Operation: 62-8=54
Current State: 52:[41, 82, 54], Operations: ['62-8=54']
Exploring Operation: 82/41=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 82/41=2
Current State: 52:[54, 2], Operations: ['62-8=54', '82/41=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
74,
7,
66,
56
] | 91 | [
"74+7=81",
"66-56=10",
"81+10=91"
] | Current State: 91:[74, 7, 66, 56], Operations: []
Exploring Operation: 74+7=81, Resulting Numbers: [66, 56, 81]
Generated Node #2: [66, 56, 81] from Operation: 74+7=81
Current State: 91:[66, 56, 81], Operations: ['74+7=81']
Exploring Operation: 66-56=10, Resulting Numbers: [81, 10]
Generated Node #3: [81, 10] from Operation: 66-56=10
Current State: 91:[81, 10], Operations: ['74+7=81', '66-56=10']
Exploring Operation: 81+10=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
48,
34,
41,
8
] | 47 | [
"48-34=14",
"41-8=33",
"14+33=47"
] | Current State: 47:[48, 34, 41, 8], Operations: []
Exploring Operation: 48-34=14, Resulting Numbers: [41, 8, 14]
Generated Node #2: [41, 8, 14] from Operation: 48-34=14
Current State: 47:[41, 8, 14], Operations: ['48-34=14']
Exploring Operation: 41-8=33, Resulting Numbers: [14, 33]
Generated Node #3: [14, 33] from Operation: 41-8=33
Current State: 47:[14, 33], Operations: ['48-34=14', '41-8=33']
Exploring Operation: 14+33=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
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