nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
2,
17,
28,
53
] | 96 | [
"17-2=15",
"28+53=81",
"15+81=96"
] | Current State: 96:[2, 17, 28, 53], Operations: []
Exploring Operation: 17-2=15, Resulting Numbers: [28, 53, 15]
Generated Node #2: [28, 53, 15] from Operation: 17-2=15
Current State: 96:[28, 53, 15], Operations: ['17-2=15']
Exploring Operation: 28+53=81, Resulting Numbers: [15, 81]
Generated Node #3: [15, 81] from Operation: 28+53=81
Current State: 96:[15, 81], Operations: ['17-2=15', '28+53=81']
Exploring Operation: 15+81=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
79,
48,
54,
91
] | 72 | [
"91-79=12",
"54-48=6",
"12*6=72"
] | Current State: 72:[79, 48, 54, 91], Operations: []
Exploring Operation: 91-79=12, Resulting Numbers: [48, 54, 12]
Generated Node #2: [48, 54, 12] from Operation: 91-79=12
Current State: 72:[48, 54, 12], Operations: ['91-79=12']
Exploring Operation: 54-48=6, Resulting Numbers: [12, 6]
Generated Node #3: [12, 6] from Operation: 54-48=6
Current State: 72:[12, 6], Operations: ['91-79=12', '54-48=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
17,
42,
24,
75
] | 69 | [
"24-17=7",
"42/7=6",
"75-6=69"
] | Current State: 69:[17, 42, 24, 75], Operations: []
Exploring Operation: 24-17=7, Resulting Numbers: [42, 75, 7]
Generated Node #2: [42, 75, 7] from Operation: 24-17=7
Current State: 69:[42, 75, 7], Operations: ['24-17=7']
Exploring Operation: 42/7=6, Resulting Numbers: [75, 6]
Generated Node #3: [75, 6] from Operation: 42/7=6
Current State: 69:[75, 6], Operations: ['24-17=7', '42/7=6']
Exploring Operation: 75-6=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
93,
2,
49,
90
] | 67 | [
"93-49=44",
"90+44=134",
"134/2=67"
] | Current State: 67:[93, 2, 49, 90], Operations: []
Exploring Operation: 93-49=44, Resulting Numbers: [2, 90, 44]
Generated Node #2: [2, 90, 44] from Operation: 93-49=44
Current State: 67:[2, 90, 44], Operations: ['93-49=44']
Exploring Operation: 90+44=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 90+44=134
Current State: 67:[2, 134], Operations: ['93-49=44', '90+44=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
21,
18,
84,
82
] | 91 | [
"21*82=1722",
"1722-84=1638",
"1638/18=91"
] | Current State: 91:[21, 18, 84, 82], Operations: []
Exploring Operation: 21*82=1722, Resulting Numbers: [18, 84, 1722]
Generated Node #2: [18, 84, 1722] from Operation: 21*82=1722
Current State: 91:[18, 84, 1722], Operations: ['21*82=1722']
Exploring Operation: 1722-84=1638, Resulting Numbers: [18, 1638]
Generated Node #3: [18, 1638] from Operation: 1722-84=1638
Current State: 91:[18, 1638], Operations: ['21*82=1722', '1722-84=1638']
Exploring Operation: 1638/18=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
32,
97,
19,
26
] | 20 | [
"97-32=65",
"19+26=45",
"65-45=20"
] | Current State: 20:[32, 97, 19, 26], Operations: []
Exploring Operation: 97-32=65, Resulting Numbers: [19, 26, 65]
Generated Node #2: [19, 26, 65] from Operation: 97-32=65
Current State: 20:[19, 26, 65], Operations: ['97-32=65']
Exploring Operation: 19+26=45, Resulting Numbers: [65, 45]
Generated Node #3: [65, 45] from Operation: 19+26=45
Current State: 20:[65, 45], Operations: ['97-32=65', '19+26=45']
Exploring Operation: 65-45=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
66,
64,
71,
12
] | 65 | [
"66-64=2",
"12/2=6",
"71-6=65"
] | Current State: 65:[66, 64, 71, 12], Operations: []
Exploring Operation: 66-64=2, Resulting Numbers: [71, 12, 2]
Generated Node #2: [71, 12, 2] from Operation: 66-64=2
Current State: 65:[71, 12, 2], Operations: ['66-64=2']
Exploring Operation: 12/2=6, Resulting Numbers: [71, 6]
Generated Node #3: [71, 6] from Operation: 12/2=6
Current State: 65:[71, 6], Operations: ['66-64=2', '12/2=6']
Exploring Operation: 71-6=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
33,
99,
59,
31
] | 84 | [
"99/33=3",
"59-31=28",
"3*28=84"
] | Current State: 84:[33, 99, 59, 31], Operations: []
Exploring Operation: 99/33=3, Resulting Numbers: [59, 31, 3]
Generated Node #2: [59, 31, 3] from Operation: 99/33=3
Current State: 84:[59, 31, 3], Operations: ['99/33=3']
Exploring Operation: 59-31=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 59-31=28
Current State: 84:[3, 28], Operations: ['99/33=3', '59-31=28']
Exploring Operation: 3*28=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
85,
8,
64,
23
] | 100 | [
"85+23=108",
"64/8=8",
"108-8=100"
] | Current State: 100:[85, 8, 64, 23], Operations: []
Exploring Operation: 85+23=108, Resulting Numbers: [8, 64, 108]
Generated Node #2: [8, 64, 108] from Operation: 85+23=108
Current State: 100:[8, 64, 108], Operations: ['85+23=108']
Exploring Operation: 64/8=8, Resulting Numbers: [108, 8]
Generated Node #3: [108, 8] from Operation: 64/8=8
Current State: 100:[108, 8], Operations: ['85+23=108', '64/8=8']
Exploring Operation: 108-8=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
17,
3,
33,
93
] | 80 | [
"17+3=20",
"93-33=60",
"20+60=80"
] | Current State: 80:[17, 3, 33, 93], Operations: []
Exploring Operation: 17+3=20, Resulting Numbers: [33, 93, 20]
Generated Node #2: [33, 93, 20] from Operation: 17+3=20
Current State: 80:[33, 93, 20], Operations: ['17+3=20']
Exploring Operation: 93-33=60, Resulting Numbers: [20, 60]
Generated Node #3: [20, 60] from Operation: 93-33=60
Current State: 80:[20, 60], Operations: ['17+3=20', '93-33=60']
Exploring Operation: 20+60=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
13,
69,
42,
55
] | 100 | [
"55-42=13",
"13*13=169",
"169-69=100"
] | Current State: 100:[13, 69, 42, 55], Operations: []
Exploring Operation: 55-42=13, Resulting Numbers: [13, 69, 13]
Generated Node #2: [13, 69, 13] from Operation: 55-42=13
Current State: 100:[13, 69, 13], Operations: ['55-42=13']
Exploring Operation: 13*13=169, Resulting Numbers: [69, 169]
Generated Node #3: [69, 169] from Operation: 13*13=169
Current State: 100:[69, 169], Operations: ['55-42=13', '13*13=169']
Exploring Operation: 169-69=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
76,
14,
70,
80
] | 80 | [
"76+14=90",
"80-70=10",
"90-10=80"
] | Current State: 80:[76, 14, 70, 80], Operations: []
Exploring Operation: 76+14=90, Resulting Numbers: [70, 80, 90]
Generated Node #2: [70, 80, 90] from Operation: 76+14=90
Current State: 80:[70, 80, 90], Operations: ['76+14=90']
Exploring Operation: 80-70=10, Resulting Numbers: [90, 10]
Generated Node #3: [90, 10] from Operation: 80-70=10
Current State: 80:[90, 10], Operations: ['76+14=90', '80-70=10']
Exploring Operation: 90-10=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
3,
37,
60,
10
] | 27 | [
"60/3=20",
"37+10=47",
"47-20=27"
] | Current State: 27:[3, 37, 60, 10], Operations: []
Exploring Operation: 60/3=20, Resulting Numbers: [37, 10, 20]
Generated Node #2: [37, 10, 20] from Operation: 60/3=20
Current State: 27:[37, 10, 20], Operations: ['60/3=20']
Exploring Operation: 37+10=47, Resulting Numbers: [20, 47]
Generated Node #3: [20, 47] from Operation: 37+10=47
Current State: 27:[20, 47], Operations: ['60/3=20', '37+10=47']
Exploring Operation: 47-20=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
72,
68,
55,
45
] | 41 | [
"72-55=17",
"68/17=4",
"45-4=41"
] | Current State: 41:[72, 68, 55, 45], Operations: []
Exploring Operation: 72-55=17, Resulting Numbers: [68, 45, 17]
Generated Node #2: [68, 45, 17] from Operation: 72-55=17
Current State: 41:[68, 45, 17], Operations: ['72-55=17']
Exploring Operation: 68/17=4, Resulting Numbers: [45, 4]
Generated Node #3: [45, 4] from Operation: 68/17=4
Current State: 41:[45, 4], Operations: ['72-55=17', '68/17=4']
Exploring Operation: 45-4=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
10,
24,
60,
70
] | 25 | [
"10+60=70",
"70/70=1",
"24+1=25"
] | Current State: 25:[10, 24, 60, 70], Operations: []
Exploring Operation: 10+60=70, Resulting Numbers: [24, 70, 70]
Generated Node #2: [24, 70, 70] from Operation: 10+60=70
Current State: 25:[24, 70, 70], Operations: ['10+60=70']
Exploring Operation: 70/70=1, Resulting Numbers: [24, 1]
Generated Node #3: [24, 1] from Operation: 70/70=1
Current State: 25:[24, 1], Operations: ['10+60=70', '70/70=1']
Exploring Operation: 24+1=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
26,
71,
74,
8
] | 15 | [
"26+71=97",
"74+8=82",
"97-82=15"
] | Current State: 15:[26, 71, 74, 8], Operations: []
Exploring Operation: 26+71=97, Resulting Numbers: [74, 8, 97]
Generated Node #2: [74, 8, 97] from Operation: 26+71=97
Current State: 15:[74, 8, 97], Operations: ['26+71=97']
Exploring Operation: 74+8=82, Resulting Numbers: [97, 82]
Generated Node #3: [97, 82] from Operation: 74+8=82
Current State: 15:[97, 82], Operations: ['26+71=97', '74+8=82']
Exploring Operation: 97-82=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
7,
93,
51,
20
] | 98 | [
"7*20=140",
"93-51=42",
"140-42=98"
] | Current State: 98:[7, 93, 51, 20], Operations: []
Exploring Operation: 7*20=140, Resulting Numbers: [93, 51, 140]
Generated Node #2: [93, 51, 140] from Operation: 7*20=140
Current State: 98:[93, 51, 140], Operations: ['7*20=140']
Exploring Operation: 93-51=42, Resulting Numbers: [140, 42]
Generated Node #3: [140, 42] from Operation: 93-51=42
Current State: 98:[140, 42], Operations: ['7*20=140', '93-51=42']
Exploring Operation: 140-42=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
25,
2,
53,
50
] | 49 | [
"50/25=2",
"53-2=51",
"51-2=49"
] | Current State: 49:[25, 2, 53, 50], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [2, 53, 2]
Generated Node #2: [2, 53, 2] from Operation: 50/25=2
Current State: 49:[2, 53, 2], Operations: ['50/25=2']
Exploring Operation: 53-2=51, Resulting Numbers: [51]
51,49 equal: Goal Reached
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
28,
1,
11,
4
] | 61 | [
"4-1=3",
"11*3=33",
"28+33=61"
] | Current State: 61:[28, 1, 11, 4], Operations: []
Exploring Operation: 4-1=3, Resulting Numbers: [28, 11, 3]
Generated Node #2: [28, 11, 3] from Operation: 4-1=3
Current State: 61:[28, 11, 3], Operations: ['4-1=3']
Exploring Operation: 11*3=33, Resulting Numbers: [28, 33]
Generated Node #3: [28, 33] from Operation: 11*3=33
Current State: 61:[28, 33], Operations: ['4-1=3', '11*3=33']
Exploring Operation: 28+33=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
34,
16,
61,
9
] | 29 | [
"61-16=45",
"45/9=5",
"34-5=29"
] | Current State: 29:[34, 16, 61, 9], Operations: []
Exploring Operation: 61-16=45, Resulting Numbers: [34, 9, 45]
Generated Node #2: [34, 9, 45] from Operation: 61-16=45
Current State: 29:[34, 9, 45], Operations: ['61-16=45']
Exploring Operation: 45/9=5, Resulting Numbers: [34, 5]
Generated Node #3: [34, 5] from Operation: 45/9=5
Current State: 29:[34, 5], Operations: ['61-16=45', '45/9=5']
Exploring Operation: 34-5=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
24,
12,
74
] | 68 | [
"3*24=72",
"72/12=6",
"74-6=68"
] | Current State: 68:[3, 24, 12, 74], Operations: []
Exploring Operation: 3*24=72, Resulting Numbers: [12, 74, 72]
Generated Node #2: [12, 74, 72] from Operation: 3*24=72
Current State: 68:[12, 74, 72], Operations: ['3*24=72']
Exploring Operation: 72/12=6, Resulting Numbers: [74, 6]
Generated Node #3: [74, 6] from Operation: 72/12=6
Current State: 68:[74, 6], Operations: ['3*24=72', '72/12=6']
Exploring Operation: 74-6=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
73,
73,
71,
4
] | 65 | [
"73-71=2",
"4*2=8",
"73-8=65"
] | Current State: 65:[73, 73, 71, 4], Operations: []
Exploring Operation: 73-71=2, Resulting Numbers: [4, 2]
Generated Node #2: [4, 2] from Operation: 73-71=2
Current State: 65:[4, 2], Operations: ['73-71=2']
Exploring Operation: 4*2=8, Resulting Numbers: [8]
8,65 equal: Goal Reached
Exploring Operation: 73-8=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
57,
28,
27,
78
] | 34 | [
"57+28=85",
"78-27=51",
"85-51=34"
] | Current State: 34:[57, 28, 27, 78], Operations: []
Exploring Operation: 57+28=85, Resulting Numbers: [27, 78, 85]
Generated Node #2: [27, 78, 85] from Operation: 57+28=85
Current State: 34:[27, 78, 85], Operations: ['57+28=85']
Exploring Operation: 78-27=51, Resulting Numbers: [85, 51]
Generated Node #3: [85, 51] from Operation: 78-27=51
Current State: 34:[85, 51], Operations: ['57+28=85', '78-27=51']
Exploring Operation: 85-51=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
7,
24,
96,
3
] | 96 | [
"24/3=8",
"8-7=1",
"96*1=96"
] | Current State: 96:[7, 24, 96, 3], Operations: []
Exploring Operation: 24/3=8, Resulting Numbers: [7, 96, 8]
Generated Node #2: [7, 96, 8] from Operation: 24/3=8
Current State: 96:[7, 96, 8], Operations: ['24/3=8']
Exploring Operation: 8-7=1, Resulting Numbers: [96, 1]
Generated Node #3: [96, 1] from Operation: 8-7=1
Current State: 96:[96, 1], Operations: ['24/3=8', '8-7=1']
Exploring Operation: 96*1=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
6,
88,
77,
33
] | 33 | [
"6*33=198",
"88+77=165",
"198-165=33"
] | Current State: 33:[6, 88, 77, 33], Operations: []
Exploring Operation: 6*33=198, Resulting Numbers: [88, 77, 198]
Generated Node #2: [88, 77, 198] from Operation: 6*33=198
Current State: 33:[88, 77, 198], Operations: ['6*33=198']
Exploring Operation: 88+77=165, Resulting Numbers: [198, 165]
Generated Node #3: [198, 165] from Operation: 88+77=165
Current State: 33:[198, 165], Operations: ['6*33=198', '88+77=165']
Exploring Operation: 198-165=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
43,
22,
45,
35
] | 48 | [
"45-43=2",
"35*2=70",
"70-22=48"
] | Current State: 48:[43, 22, 45, 35], Operations: []
Exploring Operation: 45-43=2, Resulting Numbers: [22, 35, 2]
Generated Node #2: [22, 35, 2] from Operation: 45-43=2
Current State: 48:[22, 35, 2], Operations: ['45-43=2']
Exploring Operation: 35*2=70, Resulting Numbers: [22, 70]
Generated Node #3: [22, 70] from Operation: 35*2=70
Current State: 48:[22, 70], Operations: ['45-43=2', '35*2=70']
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
22,
27,
20,
26
] | 43 | [
"22+27=49",
"26-20=6",
"49-6=43"
] | Current State: 43:[22, 27, 20, 26], Operations: []
Exploring Operation: 22+27=49, Resulting Numbers: [20, 26, 49]
Generated Node #2: [20, 26, 49] from Operation: 22+27=49
Current State: 43:[20, 26, 49], Operations: ['22+27=49']
Exploring Operation: 26-20=6, Resulting Numbers: [49, 6]
Generated Node #3: [49, 6] from Operation: 26-20=6
Current State: 43:[49, 6], Operations: ['22+27=49', '26-20=6']
Exploring Operation: 49-6=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
3,
72,
80,
34
] | 90 | [
"72/3=24",
"80+34=114",
"114-24=90"
] | Current State: 90:[3, 72, 80, 34], Operations: []
Exploring Operation: 72/3=24, Resulting Numbers: [80, 34, 24]
Generated Node #2: [80, 34, 24] from Operation: 72/3=24
Current State: 90:[80, 34, 24], Operations: ['72/3=24']
Exploring Operation: 80+34=114, Resulting Numbers: [24, 114]
Generated Node #3: [24, 114] from Operation: 80+34=114
Current State: 90:[24, 114], Operations: ['72/3=24', '80+34=114']
Exploring Operation: 114-24=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
18,
78,
88,
61
] | 87 | [
"78-18=60",
"88-61=27",
"60+27=87"
] | Current State: 87:[18, 78, 88, 61], Operations: []
Exploring Operation: 78-18=60, Resulting Numbers: [88, 61, 60]
Generated Node #2: [88, 61, 60] from Operation: 78-18=60
Current State: 87:[88, 61, 60], Operations: ['78-18=60']
Exploring Operation: 88-61=27, Resulting Numbers: [60, 27]
Generated Node #3: [60, 27] from Operation: 88-61=27
Current State: 87:[60, 27], Operations: ['78-18=60', '88-61=27']
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
51,
12,
3,
66
] | 75 | [
"51*3=153",
"12+66=78",
"153-78=75"
] | Current State: 75:[51, 12, 3, 66], Operations: []
Exploring Operation: 51*3=153, Resulting Numbers: [12, 66, 153]
Generated Node #2: [12, 66, 153] from Operation: 51*3=153
Current State: 75:[12, 66, 153], Operations: ['51*3=153']
Exploring Operation: 12+66=78, Resulting Numbers: [153, 78]
Generated Node #3: [153, 78] from Operation: 12+66=78
Current State: 75:[153, 78], Operations: ['51*3=153', '12+66=78']
Exploring Operation: 153-78=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
30,
70,
56,
78
] | 23 | [
"78-70=8",
"56/8=7",
"30-7=23"
] | Current State: 23:[30, 70, 56, 78], Operations: []
Exploring Operation: 78-70=8, Resulting Numbers: [30, 56, 8]
Generated Node #2: [30, 56, 8] from Operation: 78-70=8
Current State: 23:[30, 56, 8], Operations: ['78-70=8']
Exploring Operation: 56/8=7, Resulting Numbers: [30, 7]
Generated Node #3: [30, 7] from Operation: 56/8=7
Current State: 23:[30, 7], Operations: ['78-70=8', '56/8=7']
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
75,
79,
7,
74
] | 22 | [
"79-74=5",
"75/5=15",
"7+15=22"
] | Current State: 22:[75, 79, 7, 74], Operations: []
Exploring Operation: 79-74=5, Resulting Numbers: [75, 7, 5]
Generated Node #2: [75, 7, 5] from Operation: 79-74=5
Current State: 22:[75, 7, 5], Operations: ['79-74=5']
Exploring Operation: 75/5=15, Resulting Numbers: [7, 15]
Generated Node #3: [7, 15] from Operation: 75/5=15
Current State: 22:[7, 15], Operations: ['79-74=5', '75/5=15']
Exploring Operation: 7+15=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
89,
68,
22,
26
] | 26 | [
"89-68=21",
"22-21=1",
"26*1=26"
] | Current State: 26:[89, 68, 22, 26], Operations: []
Exploring Operation: 89-68=21, Resulting Numbers: [22, 26, 21]
Generated Node #2: [22, 26, 21] from Operation: 89-68=21
Current State: 26:[22, 26, 21], Operations: ['89-68=21']
Exploring Operation: 22-21=1, Resulting Numbers: [26, 1]
Generated Node #3: [26, 1] from Operation: 22-21=1
Current State: 26:[26, 1], Operations: ['89-68=21', '22-21=1']
Exploring Operation: 26*1=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
75,
92,
84,
34
] | 50 | [
"75*84=6300",
"92+34=126",
"6300/126=50"
] | Current State: 50:[75, 92, 84, 34], Operations: []
Exploring Operation: 75*84=6300, Resulting Numbers: [92, 34, 6300]
Generated Node #2: [92, 34, 6300] from Operation: 75*84=6300
Current State: 50:[92, 34, 6300], Operations: ['75*84=6300']
Exploring Operation: 92+34=126, Resulting Numbers: [6300, 126]
Generated Node #3: [6300, 126] from Operation: 92+34=126
Current State: 50:[6300, 126], Operations: ['75*84=6300', '92+34=126']
Exploring Operation: 6300/126=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
2,
91,
22,
94
] | 44 | [
"91-22=69",
"2*69=138",
"138-94=44"
] | Current State: 44:[2, 91, 22, 94], Operations: []
Exploring Operation: 91-22=69, Resulting Numbers: [2, 94, 69]
Generated Node #2: [2, 94, 69] from Operation: 91-22=69
Current State: 44:[2, 94, 69], Operations: ['91-22=69']
Exploring Operation: 2*69=138, Resulting Numbers: [94, 138]
Generated Node #3: [94, 138] from Operation: 2*69=138
Current State: 44:[94, 138], Operations: ['91-22=69', '2*69=138']
Exploring Operation: 138-94=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
14,
17,
88,
35
] | 92 | [
"14+17=31",
"88+35=123",
"123-31=92"
] | Current State: 92:[14, 17, 88, 35], Operations: []
Exploring Operation: 14+17=31, Resulting Numbers: [88, 35, 31]
Generated Node #2: [88, 35, 31] from Operation: 14+17=31
Current State: 92:[88, 35, 31], Operations: ['14+17=31']
Exploring Operation: 88+35=123, Resulting Numbers: [31, 123]
Generated Node #3: [31, 123] from Operation: 88+35=123
Current State: 92:[31, 123], Operations: ['14+17=31', '88+35=123']
Exploring Operation: 123-31=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
63,
91,
81,
87
] | 36 | [
"63+81=144",
"91-87=4",
"144/4=36"
] | Current State: 36:[63, 91, 81, 87], Operations: []
Exploring Operation: 63+81=144, Resulting Numbers: [91, 87, 144]
Generated Node #2: [91, 87, 144] from Operation: 63+81=144
Current State: 36:[91, 87, 144], Operations: ['63+81=144']
Exploring Operation: 91-87=4, Resulting Numbers: [144, 4]
Generated Node #3: [144, 4] from Operation: 91-87=4
Current State: 36:[144, 4], Operations: ['63+81=144', '91-87=4']
Exploring Operation: 144/4=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
53,
5,
87,
88
] | 59 | [
"53+5=58",
"88-87=1",
"58+1=59"
] | Current State: 59:[53, 5, 87, 88], Operations: []
Exploring Operation: 53+5=58, Resulting Numbers: [87, 88, 58]
Generated Node #2: [87, 88, 58] from Operation: 53+5=58
Current State: 59:[87, 88, 58], Operations: ['53+5=58']
Exploring Operation: 88-87=1, Resulting Numbers: [58, 1]
Generated Node #3: [58, 1] from Operation: 88-87=1
Current State: 59:[58, 1], Operations: ['53+5=58', '88-87=1']
Exploring Operation: 58+1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
88,
20,
84,
91
] | 96 | [
"88-84=4",
"20/4=5",
"91+5=96"
] | Current State: 96:[88, 20, 84, 91], Operations: []
Exploring Operation: 88-84=4, Resulting Numbers: [20, 91, 4]
Generated Node #2: [20, 91, 4] from Operation: 88-84=4
Current State: 96:[20, 91, 4], Operations: ['88-84=4']
Exploring Operation: 20/4=5, Resulting Numbers: [91, 5]
Generated Node #3: [91, 5] from Operation: 20/4=5
Current State: 96:[91, 5], Operations: ['88-84=4', '20/4=5']
Exploring Operation: 91+5=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
94,
71,
74,
24
] | 37 | [
"71-24=47",
"94/47=2",
"74/2=37"
] | Current State: 37:[94, 71, 74, 24], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [94, 74, 47]
Generated Node #2: [94, 74, 47] from Operation: 71-24=47
Current State: 37:[94, 74, 47], Operations: ['71-24=47']
Exploring Operation: 94/47=2, Resulting Numbers: [74, 2]
Generated Node #3: [74, 2] from Operation: 94/47=2
Current State: 37:[74, 2], Operations: ['71-24=47', '94/47=2']
Exploring Operation: 74/2=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
36,
44,
10,
85
] | 87 | [
"44-36=8",
"10+85=95",
"95-8=87"
] | Current State: 87:[36, 44, 10, 85], Operations: []
Exploring Operation: 44-36=8, Resulting Numbers: [10, 85, 8]
Generated Node #2: [10, 85, 8] from Operation: 44-36=8
Current State: 87:[10, 85, 8], Operations: ['44-36=8']
Exploring Operation: 10+85=95, Resulting Numbers: [8, 95]
Generated Node #3: [8, 95] from Operation: 10+85=95
Current State: 87:[8, 95], Operations: ['44-36=8', '10+85=95']
Exploring Operation: 95-8=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
3,
72,
31,
74
] | 56 | [
"31-3=28",
"74-72=2",
"28*2=56"
] | Current State: 56:[3, 72, 31, 74], Operations: []
Exploring Operation: 31-3=28, Resulting Numbers: [72, 74, 28]
Generated Node #2: [72, 74, 28] from Operation: 31-3=28
Current State: 56:[72, 74, 28], Operations: ['31-3=28']
Exploring Operation: 74-72=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 74-72=2
Current State: 56:[28, 2], Operations: ['31-3=28', '74-72=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
26,
19,
4,
9
] | 81 | [
"26+19=45",
"4*9=36",
"45+36=81"
] | Current State: 81:[26, 19, 4, 9], Operations: []
Exploring Operation: 26+19=45, Resulting Numbers: [4, 9, 45]
Generated Node #2: [4, 9, 45] from Operation: 26+19=45
Current State: 81:[4, 9, 45], Operations: ['26+19=45']
Exploring Operation: 4*9=36, Resulting Numbers: [45, 36]
Generated Node #3: [45, 36] from Operation: 4*9=36
Current State: 81:[45, 36], Operations: ['26+19=45', '4*9=36']
Exploring Operation: 45+36=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
67,
56,
21,
91
] | 49 | [
"91-67=24",
"56*21=1176",
"1176/24=49"
] | Current State: 49:[67, 56, 21, 91], Operations: []
Exploring Operation: 91-67=24, Resulting Numbers: [56, 21, 24]
Generated Node #2: [56, 21, 24] from Operation: 91-67=24
Current State: 49:[56, 21, 24], Operations: ['91-67=24']
Exploring Operation: 56*21=1176, Resulting Numbers: [24, 1176]
Generated Node #3: [24, 1176] from Operation: 56*21=1176
Current State: 49:[24, 1176], Operations: ['91-67=24', '56*21=1176']
Exploring Operation: 1176/24=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
13,
71,
63,
61
] | 42 | [
"13+71=84",
"63-61=2",
"84/2=42"
] | Current State: 42:[13, 71, 63, 61], Operations: []
Exploring Operation: 13+71=84, Resulting Numbers: [63, 61, 84]
Generated Node #2: [63, 61, 84] from Operation: 13+71=84
Current State: 42:[63, 61, 84], Operations: ['13+71=84']
Exploring Operation: 63-61=2, Resulting Numbers: [84, 2]
Generated Node #3: [84, 2] from Operation: 63-61=2
Current State: 42:[84, 2], Operations: ['13+71=84', '63-61=2']
Exploring Operation: 84/2=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4 |
[
39,
75,
7,
42
] | 19 | [
"39+75=114",
"42/7=6",
"114/6=19"
] | Current State: 19:[39, 75, 7, 42], Operations: []
Exploring Operation: 39+75=114, Resulting Numbers: [7, 42, 114]
Generated Node #2: [7, 42, 114] from Operation: 39+75=114
Current State: 19:[7, 42, 114], Operations: ['39+75=114']
Exploring Operation: 42/7=6, Resulting Numbers: [114, 6]
Generated Node #3: [114, 6] from Operation: 42/7=6
Current State: 19:[114, 6], Operations: ['39+75=114', '42/7=6']
Exploring Operation: 114/6=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
23,
67,
31,
5
] | 18 | [
"67-23=44",
"31-5=26",
"44-26=18"
] | Current State: 18:[23, 67, 31, 5], Operations: []
Exploring Operation: 67-23=44, Resulting Numbers: [31, 5, 44]
Generated Node #2: [31, 5, 44] from Operation: 67-23=44
Current State: 18:[31, 5, 44], Operations: ['67-23=44']
Exploring Operation: 31-5=26, Resulting Numbers: [44, 26]
Generated Node #3: [44, 26] from Operation: 31-5=26
Current State: 18:[44, 26], Operations: ['67-23=44', '31-5=26']
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
36,
5,
15,
70
] | 86 | [
"36-5=31",
"70-15=55",
"31+55=86"
] | Current State: 86:[36, 5, 15, 70], Operations: []
Exploring Operation: 36-5=31, Resulting Numbers: [15, 70, 31]
Generated Node #2: [15, 70, 31] from Operation: 36-5=31
Current State: 86:[15, 70, 31], Operations: ['36-5=31']
Exploring Operation: 70-15=55, Resulting Numbers: [31, 55]
Generated Node #3: [31, 55] from Operation: 70-15=55
Current State: 86:[31, 55], Operations: ['36-5=31', '70-15=55']
Exploring Operation: 31+55=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
8,
30,
34,
90
] | 19 | [
"30+90=120",
"120/8=15",
"34-15=19"
] | Current State: 19:[8, 30, 34, 90], Operations: []
Exploring Operation: 30+90=120, Resulting Numbers: [8, 34, 120]
Generated Node #2: [8, 34, 120] from Operation: 30+90=120
Current State: 19:[8, 34, 120], Operations: ['30+90=120']
Exploring Operation: 120/8=15, Resulting Numbers: [34, 15]
Generated Node #3: [34, 15] from Operation: 120/8=15
Current State: 19:[34, 15], Operations: ['30+90=120', '120/8=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
17,
17,
50,
74
] | 23 | [
"17/17=1",
"74-50=24",
"24-1=23"
] | Current State: 23:[17, 17, 50, 74], Operations: []
Exploring Operation: 17/17=1, Resulting Numbers: [50, 74, 1]
Generated Node #2: [50, 74, 1] from Operation: 17/17=1
Current State: 23:[50, 74, 1], Operations: ['17/17=1']
Exploring Operation: 74-50=24, Resulting Numbers: [1, 24]
Generated Node #3: [1, 24] from Operation: 74-50=24
Current State: 23:[1, 24], Operations: ['17/17=1', '74-50=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
62,
65,
31,
58
] | 100 | [
"62+65=127",
"58-31=27",
"127-27=100"
] | Current State: 100:[62, 65, 31, 58], Operations: []
Exploring Operation: 62+65=127, Resulting Numbers: [31, 58, 127]
Generated Node #2: [31, 58, 127] from Operation: 62+65=127
Current State: 100:[31, 58, 127], Operations: ['62+65=127']
Exploring Operation: 58-31=27, Resulting Numbers: [127, 27]
Generated Node #3: [127, 27] from Operation: 58-31=27
Current State: 100:[127, 27], Operations: ['62+65=127', '58-31=27']
Exploring Operation: 127-27=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
42,
22,
75,
45
] | 100 | [
"42-22=20",
"75+45=120",
"120-20=100"
] | Current State: 100:[42, 22, 75, 45], Operations: []
Exploring Operation: 42-22=20, Resulting Numbers: [75, 45, 20]
Generated Node #2: [75, 45, 20] from Operation: 42-22=20
Current State: 100:[75, 45, 20], Operations: ['42-22=20']
Exploring Operation: 75+45=120, Resulting Numbers: [20, 120]
Generated Node #3: [20, 120] from Operation: 75+45=120
Current State: 100:[20, 120], Operations: ['42-22=20', '75+45=120']
Exploring Operation: 120-20=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
36,
88,
63,
22
] | 39 | [
"36+88=124",
"63+22=85",
"124-85=39"
] | Current State: 39:[36, 88, 63, 22], Operations: []
Exploring Operation: 36+88=124, Resulting Numbers: [63, 22, 124]
Generated Node #2: [63, 22, 124] from Operation: 36+88=124
Current State: 39:[63, 22, 124], Operations: ['36+88=124']
Exploring Operation: 63+22=85, Resulting Numbers: [124, 85]
Generated Node #3: [124, 85] from Operation: 63+22=85
Current State: 39:[124, 85], Operations: ['36+88=124', '63+22=85']
Exploring Operation: 124-85=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
80,
32,
82,
95
] | 65 | [
"80+32=112",
"82+95=177",
"177-112=65"
] | Current State: 65:[80, 32, 82, 95], Operations: []
Exploring Operation: 80+32=112, Resulting Numbers: [82, 95, 112]
Generated Node #2: [82, 95, 112] from Operation: 80+32=112
Current State: 65:[82, 95, 112], Operations: ['80+32=112']
Exploring Operation: 82+95=177, Resulting Numbers: [112, 177]
Generated Node #3: [112, 177] from Operation: 82+95=177
Current State: 65:[112, 177], Operations: ['80+32=112', '82+95=177']
Exploring Operation: 177-112=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
23,
72,
18,
63
] | 50 | [
"23+72=95",
"63-18=45",
"95-45=50"
] | Current State: 50:[23, 72, 18, 63], Operations: []
Exploring Operation: 23+72=95, Resulting Numbers: [18, 63, 95]
Generated Node #2: [18, 63, 95] from Operation: 23+72=95
Current State: 50:[18, 63, 95], Operations: ['23+72=95']
Exploring Operation: 63-18=45, Resulting Numbers: [95, 45]
Generated Node #3: [95, 45] from Operation: 63-18=45
Current State: 50:[95, 45], Operations: ['23+72=95', '63-18=45']
Exploring Operation: 95-45=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
77,
26,
11,
43
] | 71 | [
"77+26=103",
"43-11=32",
"103-32=71"
] | Current State: 71:[77, 26, 11, 43], Operations: []
Exploring Operation: 77+26=103, Resulting Numbers: [11, 43, 103]
Generated Node #2: [11, 43, 103] from Operation: 77+26=103
Current State: 71:[11, 43, 103], Operations: ['77+26=103']
Exploring Operation: 43-11=32, Resulting Numbers: [103, 32]
Generated Node #3: [103, 32] from Operation: 43-11=32
Current State: 71:[103, 32], Operations: ['77+26=103', '43-11=32']
Exploring Operation: 103-32=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
17,
5,
67,
83
] | 65 | [
"17*5=85",
"67+83=150",
"150-85=65"
] | Current State: 65:[17, 5, 67, 83], Operations: []
Exploring Operation: 17*5=85, Resulting Numbers: [67, 83, 85]
Generated Node #2: [67, 83, 85] from Operation: 17*5=85
Current State: 65:[67, 83, 85], Operations: ['17*5=85']
Exploring Operation: 67+83=150, Resulting Numbers: [85, 150]
Generated Node #3: [85, 150] from Operation: 67+83=150
Current State: 65:[85, 150], Operations: ['17*5=85', '67+83=150']
Exploring Operation: 150-85=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
21,
37,
19,
26
] | 50 | [
"21-19=2",
"26/2=13",
"37+13=50"
] | Current State: 50:[21, 37, 19, 26], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [37, 26, 2]
Generated Node #2: [37, 26, 2] from Operation: 21-19=2
Current State: 50:[37, 26, 2], Operations: ['21-19=2']
Exploring Operation: 26/2=13, Resulting Numbers: [37, 13]
Generated Node #3: [37, 13] from Operation: 26/2=13
Current State: 50:[37, 13], Operations: ['21-19=2', '26/2=13']
Exploring Operation: 37+13=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
82,
82,
63,
15
] | 86 | [
"82+82=164",
"63+15=78",
"164-78=86"
] | Current State: 86:[82, 82, 63, 15], Operations: []
Exploring Operation: 82+82=164, Resulting Numbers: [63, 15, 164]
Generated Node #2: [63, 15, 164] from Operation: 82+82=164
Current State: 86:[63, 15, 164], Operations: ['82+82=164']
Exploring Operation: 63+15=78, Resulting Numbers: [164, 78]
Generated Node #3: [164, 78] from Operation: 63+15=78
Current State: 86:[164, 78], Operations: ['82+82=164', '63+15=78']
Exploring Operation: 164-78=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
81,
86,
70,
67
] | 59 | [
"70-67=3",
"81/3=27",
"86-27=59"
] | Current State: 59:[81, 86, 70, 67], Operations: []
Exploring Operation: 70-67=3, Resulting Numbers: [81, 86, 3]
Generated Node #2: [81, 86, 3] from Operation: 70-67=3
Current State: 59:[81, 86, 3], Operations: ['70-67=3']
Exploring Operation: 81/3=27, Resulting Numbers: [86, 27]
Generated Node #3: [86, 27] from Operation: 81/3=27
Current State: 59:[86, 27], Operations: ['70-67=3', '81/3=27']
Exploring Operation: 86-27=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
39,
75,
53,
65
] | 72 | [
"75*65=4875",
"4875/39=125",
"125-53=72"
] | Current State: 72:[39, 75, 53, 65], Operations: []
Exploring Operation: 75*65=4875, Resulting Numbers: [39, 53, 4875]
Generated Node #2: [39, 53, 4875] from Operation: 75*65=4875
Current State: 72:[39, 53, 4875], Operations: ['75*65=4875']
Exploring Operation: 4875/39=125, Resulting Numbers: [53, 125]
Generated Node #3: [53, 125] from Operation: 4875/39=125
Current State: 72:[53, 125], Operations: ['75*65=4875', '4875/39=125']
Exploring Operation: 125-53=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
7,
47,
91,
49
] | 82 | [
"47-7=40",
"91-49=42",
"40+42=82"
] | Current State: 82:[7, 47, 91, 49], Operations: []
Exploring Operation: 47-7=40, Resulting Numbers: [91, 49, 40]
Generated Node #2: [91, 49, 40] from Operation: 47-7=40
Current State: 82:[91, 49, 40], Operations: ['47-7=40']
Exploring Operation: 91-49=42, Resulting Numbers: [40, 42]
Generated Node #3: [40, 42] from Operation: 91-49=42
Current State: 82:[40, 42], Operations: ['47-7=40', '91-49=42']
Exploring Operation: 40+42=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
28,
18,
53,
20
] | 25 | [
"53-18=35",
"20*35=700",
"700/28=25"
] | Current State: 25:[28, 18, 53, 20], Operations: []
Exploring Operation: 53-18=35, Resulting Numbers: [28, 20, 35]
Generated Node #2: [28, 20, 35] from Operation: 53-18=35
Current State: 25:[28, 20, 35], Operations: ['53-18=35']
Exploring Operation: 20*35=700, Resulting Numbers: [28, 700]
Generated Node #3: [28, 700] from Operation: 20*35=700
Current State: 25:[28, 700], Operations: ['53-18=35', '20*35=700']
Exploring Operation: 700/28=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
75,
37,
95,
55
] | 38 | [
"75+37=112",
"95+55=150",
"150-112=38"
] | Current State: 38:[75, 37, 95, 55], Operations: []
Exploring Operation: 75+37=112, Resulting Numbers: [95, 55, 112]
Generated Node #2: [95, 55, 112] from Operation: 75+37=112
Current State: 38:[95, 55, 112], Operations: ['75+37=112']
Exploring Operation: 95+55=150, Resulting Numbers: [112, 150]
Generated Node #3: [112, 150] from Operation: 95+55=150
Current State: 38:[112, 150], Operations: ['75+37=112', '95+55=150']
Exploring Operation: 150-112=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
65,
47,
17,
90
] | 39 | [
"65+47=112",
"90-17=73",
"112-73=39"
] | Current State: 39:[65, 47, 17, 90], Operations: []
Exploring Operation: 65+47=112, Resulting Numbers: [17, 90, 112]
Generated Node #2: [17, 90, 112] from Operation: 65+47=112
Current State: 39:[17, 90, 112], Operations: ['65+47=112']
Exploring Operation: 90-17=73, Resulting Numbers: [112, 73]
Generated Node #3: [112, 73] from Operation: 90-17=73
Current State: 39:[112, 73], Operations: ['65+47=112', '90-17=73']
Exploring Operation: 112-73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
30,
78,
17,
49
] | 76 | [
"30+78=108",
"49-17=32",
"108-32=76"
] | Current State: 76:[30, 78, 17, 49], Operations: []
Exploring Operation: 30+78=108, Resulting Numbers: [17, 49, 108]
Generated Node #2: [17, 49, 108] from Operation: 30+78=108
Current State: 76:[17, 49, 108], Operations: ['30+78=108']
Exploring Operation: 49-17=32, Resulting Numbers: [108, 32]
Generated Node #3: [108, 32] from Operation: 49-17=32
Current State: 76:[108, 32], Operations: ['30+78=108', '49-17=32']
Exploring Operation: 108-32=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
89,
11,
49,
97
] | 18 | [
"89*11=979",
"979-97=882",
"882/49=18"
] | Current State: 18:[89, 11, 49, 97], Operations: []
Exploring Operation: 89*11=979, Resulting Numbers: [49, 97, 979]
Generated Node #2: [49, 97, 979] from Operation: 89*11=979
Current State: 18:[49, 97, 979], Operations: ['89*11=979']
Exploring Operation: 979-97=882, Resulting Numbers: [49, 882]
Generated Node #3: [49, 882] from Operation: 979-97=882
Current State: 18:[49, 882], Operations: ['89*11=979', '979-97=882']
Exploring Operation: 882/49=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
84,
65,
38,
17
] | 34 | [
"84-65=19",
"38*17=646",
"646/19=34"
] | Current State: 34:[84, 65, 38, 17], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [38, 17, 19]
Generated Node #2: [38, 17, 19] from Operation: 84-65=19
Current State: 34:[38, 17, 19], Operations: ['84-65=19']
Exploring Operation: 38*17=646, Resulting Numbers: [19, 646]
Generated Node #3: [19, 646] from Operation: 38*17=646
Current State: 34:[19, 646], Operations: ['84-65=19', '38*17=646']
Exploring Operation: 646/19=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
49,
28,
65,
84
] | 40 | [
"49-28=21",
"84-65=19",
"21+19=40"
] | Current State: 40:[49, 28, 65, 84], Operations: []
Exploring Operation: 49-28=21, Resulting Numbers: [65, 84, 21]
Generated Node #2: [65, 84, 21] from Operation: 49-28=21
Current State: 40:[65, 84, 21], Operations: ['49-28=21']
Exploring Operation: 84-65=19, Resulting Numbers: [21, 19]
Generated Node #3: [21, 19] from Operation: 84-65=19
Current State: 40:[21, 19], Operations: ['49-28=21', '84-65=19']
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
4,
92,
44,
6
] | 54 | [
"4*92=368",
"368-44=324",
"324/6=54"
] | Current State: 54:[4, 92, 44, 6], Operations: []
Exploring Operation: 4*92=368, Resulting Numbers: [44, 6, 368]
Generated Node #2: [44, 6, 368] from Operation: 4*92=368
Current State: 54:[44, 6, 368], Operations: ['4*92=368']
Exploring Operation: 368-44=324, Resulting Numbers: [6, 324]
Generated Node #3: [6, 324] from Operation: 368-44=324
Current State: 54:[6, 324], Operations: ['4*92=368', '368-44=324']
Exploring Operation: 324/6=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
4,
59,
28,
12
] | 64 | [
"28/4=7",
"59+12=71",
"71-7=64"
] | Current State: 64:[4, 59, 28, 12], Operations: []
Exploring Operation: 28/4=7, Resulting Numbers: [59, 12, 7]
Generated Node #2: [59, 12, 7] from Operation: 28/4=7
Current State: 64:[59, 12, 7], Operations: ['28/4=7']
Exploring Operation: 59+12=71, Resulting Numbers: [7, 71]
Generated Node #3: [7, 71] from Operation: 59+12=71
Current State: 64:[7, 71], Operations: ['28/4=7', '59+12=71']
Exploring Operation: 71-7=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
23,
43,
30,
49
] | 47 | [
"23+43=66",
"49-30=19",
"66-19=47"
] | Current State: 47:[23, 43, 30, 49], Operations: []
Exploring Operation: 23+43=66, Resulting Numbers: [30, 49, 66]
Generated Node #2: [30, 49, 66] from Operation: 23+43=66
Current State: 47:[30, 49, 66], Operations: ['23+43=66']
Exploring Operation: 49-30=19, Resulting Numbers: [66, 19]
Generated Node #3: [66, 19] from Operation: 49-30=19
Current State: 47:[66, 19], Operations: ['23+43=66', '49-30=19']
Exploring Operation: 66-19=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
82,
29,
38,
13
] | 86 | [
"82+29=111",
"38-13=25",
"111-25=86"
] | Current State: 86:[82, 29, 38, 13], Operations: []
Exploring Operation: 82+29=111, Resulting Numbers: [38, 13, 111]
Generated Node #2: [38, 13, 111] from Operation: 82+29=111
Current State: 86:[38, 13, 111], Operations: ['82+29=111']
Exploring Operation: 38-13=25, Resulting Numbers: [111, 25]
Generated Node #3: [111, 25] from Operation: 38-13=25
Current State: 86:[111, 25], Operations: ['82+29=111', '38-13=25']
Exploring Operation: 111-25=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
18,
4,
18,
68
] | 26 | [
"18+18=36",
"68+36=104",
"104/4=26"
] | Current State: 26:[18, 4, 18, 68], Operations: []
Exploring Operation: 18+18=36, Resulting Numbers: [4, 68, 36]
Generated Node #2: [4, 68, 36] from Operation: 18+18=36
Current State: 26:[4, 68, 36], Operations: ['18+18=36']
Exploring Operation: 68+36=104, Resulting Numbers: [4, 104]
Generated Node #3: [4, 104] from Operation: 68+36=104
Current State: 26:[4, 104], Operations: ['18+18=36', '68+36=104']
Exploring Operation: 104/4=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
67,
82,
12,
91
] | 41 | [
"91-67=24",
"82*12=984",
"984/24=41"
] | Current State: 41:[67, 82, 12, 91], Operations: []
Exploring Operation: 91-67=24, Resulting Numbers: [82, 12, 24]
Generated Node #2: [82, 12, 24] from Operation: 91-67=24
Current State: 41:[82, 12, 24], Operations: ['91-67=24']
Exploring Operation: 82*12=984, Resulting Numbers: [24, 984]
Generated Node #3: [24, 984] from Operation: 82*12=984
Current State: 41:[24, 984], Operations: ['91-67=24', '82*12=984']
Exploring Operation: 984/24=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
54,
95,
46,
56
] | 79 | [
"95*46=4370",
"54+4370=4424",
"4424/56=79"
] | Current State: 79:[54, 95, 46, 56], Operations: []
Exploring Operation: 95*46=4370, Resulting Numbers: [54, 56, 4370]
Generated Node #2: [54, 56, 4370] from Operation: 95*46=4370
Current State: 79:[54, 56, 4370], Operations: ['95*46=4370']
Exploring Operation: 54+4370=4424, Resulting Numbers: [56, 4424]
Generated Node #3: [56, 4424] from Operation: 54+4370=4424
Current State: 79:[56, 4424], Operations: ['95*46=4370', '54+4370=4424']
Exploring Operation: 4424/56=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
14,
3,
80,
15
] | 48 | [
"14+3=17",
"80-15=65",
"65-17=48"
] | Current State: 48:[14, 3, 80, 15], Operations: []
Exploring Operation: 14+3=17, Resulting Numbers: [80, 15, 17]
Generated Node #2: [80, 15, 17] from Operation: 14+3=17
Current State: 48:[80, 15, 17], Operations: ['14+3=17']
Exploring Operation: 80-15=65, Resulting Numbers: [17, 65]
Generated Node #3: [17, 65] from Operation: 80-15=65
Current State: 48:[17, 65], Operations: ['14+3=17', '80-15=65']
Exploring Operation: 65-17=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
80,
20,
22,
14
] | 52 | [
"80-20=60",
"22-14=8",
"60-8=52"
] | Current State: 52:[80, 20, 22, 14], Operations: []
Exploring Operation: 80-20=60, Resulting Numbers: [22, 14, 60]
Generated Node #2: [22, 14, 60] from Operation: 80-20=60
Current State: 52:[22, 14, 60], Operations: ['80-20=60']
Exploring Operation: 22-14=8, Resulting Numbers: [60, 8]
Generated Node #3: [60, 8] from Operation: 22-14=8
Current State: 52:[60, 8], Operations: ['80-20=60', '22-14=8']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
27,
23,
13,
4
] | 26 | [
"13-4=9",
"27/9=3",
"23+3=26"
] | Current State: 26:[27, 23, 13, 4], Operations: []
Exploring Operation: 13-4=9, Resulting Numbers: [27, 23, 9]
Generated Node #2: [27, 23, 9] from Operation: 13-4=9
Current State: 26:[27, 23, 9], Operations: ['13-4=9']
Exploring Operation: 27/9=3, Resulting Numbers: [23, 3]
Generated Node #3: [23, 3] from Operation: 27/9=3
Current State: 26:[23, 3], Operations: ['13-4=9', '27/9=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
3,
46,
66,
83
] | 87 | [
"46+66=112",
"112-83=29",
"3*29=87"
] | Current State: 87:[3, 46, 66, 83], Operations: []
Exploring Operation: 46+66=112, Resulting Numbers: [3, 83, 112]
Generated Node #2: [3, 83, 112] from Operation: 46+66=112
Current State: 87:[3, 83, 112], Operations: ['46+66=112']
Exploring Operation: 112-83=29, Resulting Numbers: [3, 29]
Generated Node #3: [3, 29] from Operation: 112-83=29
Current State: 87:[3, 29], Operations: ['46+66=112', '112-83=29']
Exploring Operation: 3*29=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
73,
92,
77,
70
] | 45 | [
"73-70=3",
"92-77=15",
"3*15=45"
] | Current State: 45:[73, 92, 77, 70], Operations: []
Exploring Operation: 73-70=3, Resulting Numbers: [92, 77, 3]
Generated Node #2: [92, 77, 3] from Operation: 73-70=3
Current State: 45:[92, 77, 3], Operations: ['73-70=3']
Exploring Operation: 92-77=15, Resulting Numbers: [3, 15]
Generated Node #3: [3, 15] from Operation: 92-77=15
Current State: 45:[3, 15], Operations: ['73-70=3', '92-77=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
28,
11,
26,
77
] | 61 | [
"28+26=54",
"77/11=7",
"54+7=61"
] | Current State: 61:[28, 11, 26, 77], Operations: []
Exploring Operation: 28+26=54, Resulting Numbers: [11, 77, 54]
Generated Node #2: [11, 77, 54] from Operation: 28+26=54
Current State: 61:[11, 77, 54], Operations: ['28+26=54']
Exploring Operation: 77/11=7, Resulting Numbers: [54, 7]
Generated Node #3: [54, 7] from Operation: 77/11=7
Current State: 61:[54, 7], Operations: ['28+26=54', '77/11=7']
Exploring Operation: 54+7=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
91,
89,
67,
8
] | 71 | [
"91-89=2",
"8/2=4",
"67+4=71"
] | Current State: 71:[91, 89, 67, 8], Operations: []
Exploring Operation: 91-89=2, Resulting Numbers: [67, 8, 2]
Generated Node #2: [67, 8, 2] from Operation: 91-89=2
Current State: 71:[67, 8, 2], Operations: ['91-89=2']
Exploring Operation: 8/2=4, Resulting Numbers: [67, 4]
Generated Node #3: [67, 4] from Operation: 8/2=4
Current State: 71:[67, 4], Operations: ['91-89=2', '8/2=4']
Exploring Operation: 67+4=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
89,
72,
22,
61
] | 22 | [
"89-72=17",
"61-22=39",
"39-17=22"
] | Current State: 22:[89, 72, 22, 61], Operations: []
Exploring Operation: 89-72=17, Resulting Numbers: [22, 61, 17]
Generated Node #2: [22, 61, 17] from Operation: 89-72=17
Current State: 22:[22, 61, 17], Operations: ['89-72=17']
Exploring Operation: 61-22=39, Resulting Numbers: [17, 39]
Generated Node #3: [17, 39] from Operation: 61-22=39
Current State: 22:[17, 39], Operations: ['89-72=17', '61-22=39']
Exploring Operation: 39-17=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
66,
95,
6,
58
] | 12 | [
"95-66=29",
"6*58=348",
"348/29=12"
] | Current State: 12:[66, 95, 6, 58], Operations: []
Exploring Operation: 95-66=29, Resulting Numbers: [6, 58, 29]
Generated Node #2: [6, 58, 29] from Operation: 95-66=29
Current State: 12:[6, 58, 29], Operations: ['95-66=29']
Exploring Operation: 6*58=348, Resulting Numbers: [29, 348]
Generated Node #3: [29, 348] from Operation: 6*58=348
Current State: 12:[29, 348], Operations: ['95-66=29', '6*58=348']
Exploring Operation: 348/29=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
62,
21,
71,
61
] | 73 | [
"62+21=83",
"71-61=10",
"83-10=73"
] | Current State: 73:[62, 21, 71, 61], Operations: []
Exploring Operation: 62+21=83, Resulting Numbers: [71, 61, 83]
Generated Node #2: [71, 61, 83] from Operation: 62+21=83
Current State: 73:[71, 61, 83], Operations: ['62+21=83']
Exploring Operation: 71-61=10, Resulting Numbers: [83, 10]
Generated Node #3: [83, 10] from Operation: 71-61=10
Current State: 73:[83, 10], Operations: ['62+21=83', '71-61=10']
Exploring Operation: 83-10=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
97,
26,
13,
66
] | 44 | [
"97+26=123",
"13+66=79",
"123-79=44"
] | Current State: 44:[97, 26, 13, 66], Operations: []
Exploring Operation: 97+26=123, Resulting Numbers: [13, 66, 123]
Generated Node #2: [13, 66, 123] from Operation: 97+26=123
Current State: 44:[13, 66, 123], Operations: ['97+26=123']
Exploring Operation: 13+66=79, Resulting Numbers: [123, 79]
Generated Node #3: [123, 79] from Operation: 13+66=79
Current State: 44:[123, 79], Operations: ['97+26=123', '13+66=79']
Exploring Operation: 123-79=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
51,
42,
70,
78
] | 72 | [
"51-42=9",
"78-70=8",
"9*8=72"
] | Current State: 72:[51, 42, 70, 78], Operations: []
Exploring Operation: 51-42=9, Resulting Numbers: [70, 78, 9]
Generated Node #2: [70, 78, 9] from Operation: 51-42=9
Current State: 72:[70, 78, 9], Operations: ['51-42=9']
Exploring Operation: 78-70=8, Resulting Numbers: [9, 8]
Generated Node #3: [9, 8] from Operation: 78-70=8
Current State: 72:[9, 8], Operations: ['51-42=9', '78-70=8']
Exploring Operation: 9*8=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
13,
78,
8,
85
] | 14 | [
"13+78=91",
"85-8=77",
"91-77=14"
] | Current State: 14:[13, 78, 8, 85], Operations: []
Exploring Operation: 13+78=91, Resulting Numbers: [8, 85, 91]
Generated Node #2: [8, 85, 91] from Operation: 13+78=91
Current State: 14:[8, 85, 91], Operations: ['13+78=91']
Exploring Operation: 85-8=77, Resulting Numbers: [91, 77]
Generated Node #3: [91, 77] from Operation: 85-8=77
Current State: 14:[91, 77], Operations: ['13+78=91', '85-8=77']
Exploring Operation: 91-77=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
53,
89,
44,
62
] | 36 | [
"53+89=142",
"44+62=106",
"142-106=36"
] | Current State: 36:[53, 89, 44, 62], Operations: []
Exploring Operation: 53+89=142, Resulting Numbers: [44, 62, 142]
Generated Node #2: [44, 62, 142] from Operation: 53+89=142
Current State: 36:[44, 62, 142], Operations: ['53+89=142']
Exploring Operation: 44+62=106, Resulting Numbers: [142, 106]
Generated Node #3: [142, 106] from Operation: 44+62=106
Current State: 36:[142, 106], Operations: ['53+89=142', '44+62=106']
Exploring Operation: 142-106=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
24,
71,
65,
76
] | 94 | [
"71-24=47",
"65+76=141",
"141-47=94"
] | Current State: 94:[24, 71, 65, 76], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [65, 76, 47]
Generated Node #2: [65, 76, 47] from Operation: 71-24=47
Current State: 94:[65, 76, 47], Operations: ['71-24=47']
Exploring Operation: 65+76=141, Resulting Numbers: [47, 141]
Generated Node #3: [47, 141] from Operation: 65+76=141
Current State: 94:[47, 141], Operations: ['71-24=47', '65+76=141']
Exploring Operation: 141-47=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
94,
66,
56,
8
] | 35 | [
"94-66=28",
"56/8=7",
"28+7=35"
] | Current State: 35:[94, 66, 56, 8], Operations: []
Exploring Operation: 94-66=28, Resulting Numbers: [56, 8, 28]
Generated Node #2: [56, 8, 28] from Operation: 94-66=28
Current State: 35:[56, 8, 28], Operations: ['94-66=28']
Exploring Operation: 56/8=7, Resulting Numbers: [28, 7]
Generated Node #3: [28, 7] from Operation: 56/8=7
Current State: 35:[28, 7], Operations: ['94-66=28', '56/8=7']
Exploring Operation: 28+7=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
25,
82,
52,
32
] | 27 | [
"82-25=57",
"52+32=84",
"84-57=27"
] | Current State: 27:[25, 82, 52, 32], Operations: []
Exploring Operation: 82-25=57, Resulting Numbers: [52, 32, 57]
Generated Node #2: [52, 32, 57] from Operation: 82-25=57
Current State: 27:[52, 32, 57], Operations: ['82-25=57']
Exploring Operation: 52+32=84, Resulting Numbers: [57, 84]
Generated Node #3: [57, 84] from Operation: 52+32=84
Current State: 27:[57, 84], Operations: ['82-25=57', '52+32=84']
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
89,
80,
48,
28
] | 93 | [
"89+80=169",
"48+28=76",
"169-76=93"
] | Current State: 93:[89, 80, 48, 28], Operations: []
Exploring Operation: 89+80=169, Resulting Numbers: [48, 28, 169]
Generated Node #2: [48, 28, 169] from Operation: 89+80=169
Current State: 93:[48, 28, 169], Operations: ['89+80=169']
Exploring Operation: 48+28=76, Resulting Numbers: [169, 76]
Generated Node #3: [169, 76] from Operation: 48+28=76
Current State: 93:[169, 76], Operations: ['89+80=169', '48+28=76']
Exploring Operation: 169-76=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
89,
78,
80,
58
] | 62 | [
"89-58=31",
"80-78=2",
"31*2=62"
] | Current State: 62:[89, 78, 80, 58], Operations: []
Exploring Operation: 89-58=31, Resulting Numbers: [78, 80, 31]
Generated Node #2: [78, 80, 31] from Operation: 89-58=31
Current State: 62:[78, 80, 31], Operations: ['89-58=31']
Exploring Operation: 80-78=2, Resulting Numbers: [31, 2]
Generated Node #3: [31, 2] from Operation: 80-78=2
Current State: 62:[31, 2], Operations: ['89-58=31', '80-78=2']
Exploring Operation: 31*2=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
30,
40,
17,
93
] | 100 | [
"40-30=10",
"17+93=110",
"110-10=100"
] | Current State: 100:[30, 40, 17, 93], Operations: []
Exploring Operation: 40-30=10, Resulting Numbers: [17, 93, 10]
Generated Node #2: [17, 93, 10] from Operation: 40-30=10
Current State: 100:[17, 93, 10], Operations: ['40-30=10']
Exploring Operation: 17+93=110, Resulting Numbers: [10, 110]
Generated Node #3: [10, 110] from Operation: 17+93=110
Current State: 100:[10, 110], Operations: ['40-30=10', '17+93=110']
Exploring Operation: 110-10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
85,
30,
6,
13
] | 23 | [
"85-30=55",
"6*13=78",
"78-55=23"
] | Current State: 23:[85, 30, 6, 13], Operations: []
Exploring Operation: 85-30=55, Resulting Numbers: [6, 13, 55]
Generated Node #2: [6, 13, 55] from Operation: 85-30=55
Current State: 23:[6, 13, 55], Operations: ['85-30=55']
Exploring Operation: 6*13=78, Resulting Numbers: [55, 78]
Generated Node #3: [55, 78] from Operation: 6*13=78
Current State: 23:[55, 78], Operations: ['85-30=55', '6*13=78']
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
25,
94,
30,
47
] | 80 | [
"25*94=2350",
"2350/47=50",
"30+50=80"
] | Current State: 80:[25, 94, 30, 47], Operations: []
Exploring Operation: 25*94=2350, Resulting Numbers: [30, 47, 2350]
Generated Node #2: [30, 47, 2350] from Operation: 25*94=2350
Current State: 80:[30, 47, 2350], Operations: ['25*94=2350']
Exploring Operation: 2350/47=50, Resulting Numbers: [30, 50]
Generated Node #3: [30, 50] from Operation: 2350/47=50
Current State: 80:[30, 50], Operations: ['25*94=2350', '2350/47=50']
Exploring Operation: 30+50=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
79,
65,
40,
95
] | 69 | [
"79-65=14",
"95-40=55",
"14+55=69"
] | Current State: 69:[79, 65, 40, 95], Operations: []
Exploring Operation: 79-65=14, Resulting Numbers: [40, 95, 14]
Generated Node #2: [40, 95, 14] from Operation: 79-65=14
Current State: 69:[40, 95, 14], Operations: ['79-65=14']
Exploring Operation: 95-40=55, Resulting Numbers: [14, 55]
Generated Node #3: [14, 55] from Operation: 95-40=55
Current State: 69:[14, 55], Operations: ['79-65=14', '95-40=55']
Exploring Operation: 14+55=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
28,
16,
51,
48
] | 87 | [
"28-16=12",
"51+48=99",
"99-12=87"
] | Current State: 87:[28, 16, 51, 48], Operations: []
Exploring Operation: 28-16=12, Resulting Numbers: [51, 48, 12]
Generated Node #2: [51, 48, 12] from Operation: 28-16=12
Current State: 87:[51, 48, 12], Operations: ['28-16=12']
Exploring Operation: 51+48=99, Resulting Numbers: [12, 99]
Generated Node #3: [12, 99] from Operation: 51+48=99
Current State: 87:[12, 99], Operations: ['28-16=12', '51+48=99']
Exploring Operation: 99-12=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
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