Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 44, 19, 37, 93 ]
41
[ "19*93=1767", "37+1767=1804", "1804/44=41" ]
Current State: 41:[44, 19, 37, 93], Operations: [] Exploring Operation: 19*93=1767, Resulting Numbers: [44, 37, 1767] Generated Node #2: [44, 37, 1767] from Operation: 19*93=1767 Current State: 41:[44, 37, 1767], Operations: ['19*93=1767'] Exploring Operation: 37+1767=1804, Resulting Numbers: [44, 1804] Generated Node #3: [44, 1804] from Operation: 37+1767=1804 Current State: 41:[44, 1804], Operations: ['19*93=1767', '37+1767=1804'] Exploring Operation: 1804/44=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 72, 87, 19, 39 ]
43
[ "87-72=15", "19+39=58", "58-15=43" ]
Current State: 43:[72, 87, 19, 39], Operations: [] Exploring Operation: 87-72=15, Resulting Numbers: [19, 39, 15] Generated Node #2: [19, 39, 15] from Operation: 87-72=15 Current State: 43:[19, 39, 15], Operations: ['87-72=15'] Exploring Operation: 19+39=58, Resulting Numbers: [15, 58] Generated Node #3: [15, 58] from Operation: 19+39=58 Current State: 43:[15, 58], Operations: ['87-72=15', '19+39=58'] Exploring Operation: 58-15=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 74, 88, 72, 83 ]
25
[ "88-74=14", "83-72=11", "14+11=25" ]
Current State: 25:[74, 88, 72, 83], Operations: [] Exploring Operation: 88-74=14, Resulting Numbers: [72, 83, 14] Generated Node #2: [72, 83, 14] from Operation: 88-74=14 Current State: 25:[72, 83, 14], Operations: ['88-74=14'] Exploring Operation: 83-72=11, Resulting Numbers: [14, 11] Generated Node #3: [14, 11] from Operation: 83-72=11 Current State: 25:[14, 11], Operations: ['88-74=14', '83-72=11'] Exploring Operation: 14+11=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
[ 35, 46, 33, 93 ]
70
[ "35-33=2", "46/2=23", "93-23=70" ]
Current State: 70:[35, 46, 33, 93], Operations: [] Exploring Operation: 35-33=2, Resulting Numbers: [46, 93, 2] Generated Node #2: [46, 93, 2] from Operation: 35-33=2 Current State: 70:[46, 93, 2], Operations: ['35-33=2'] Exploring Operation: 46/2=23, Resulting Numbers: [93, 23] Generated Node #3: [93, 23] from Operation: 46/2=23 Current State: 70:[93, 23], Operations: ['35-33=2', '46/2=23'] Exploring Operation: 93-23=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 54, 74, 75, 92 ]
38
[ "92-54=38", "75-74=1", "38*1=38" ]
Current State: 38:[54, 74, 75, 92], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [74, 75, 38] Generated Node #2: [74, 75, 38] from Operation: 92-54=38 Current State: 38:[74, 75, 38], Operations: ['92-54=38'] Exploring Operation: 75-74=1, Resulting Numbers: [38, 1] Generated Node #3: [38, 1] from Operation: 75-74=1 Current State: 38:[38, 1], Operations: ['92-54=38', '75-74=1'] Exploring Operation: 38*1=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 6, 9, 66, 10 ]
79
[ "9-6=3", "66+10=76", "3+76=79" ]
Current State: 79:[6, 9, 66, 10], Operations: [] Exploring Operation: 9-6=3, Resulting Numbers: [66, 10, 3] Generated Node #2: [66, 10, 3] from Operation: 9-6=3 Current State: 79:[66, 10, 3], Operations: ['9-6=3'] Exploring Operation: 66+10=76, Resulting Numbers: [3, 76] Generated Node #3: [3, 76] from Operation: 66+10=76 Current State: 79:[3, 76], Operations: ['9-6=3', '66+10=76'] Exploring Operation: 3+76=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 12, 76, 52, 78 ]
39
[ "12*78=936", "76-52=24", "936/24=39" ]
Current State: 39:[12, 76, 52, 78], Operations: [] Exploring Operation: 12*78=936, Resulting Numbers: [76, 52, 936] Generated Node #2: [76, 52, 936] from Operation: 12*78=936 Current State: 39:[76, 52, 936], Operations: ['12*78=936'] Exploring Operation: 76-52=24, Resulting Numbers: [936, 24] Generated Node #3: [936, 24] from Operation: 76-52=24 Current State: 39:[936, 24], Operations: ['12*78=936', '76-52=24'] Exploring Operation: 936/24=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 46, 30, 76, 44 ]
53
[ "46-44=2", "30+76=106", "106/2=53" ]
Current State: 53:[46, 30, 76, 44], Operations: [] Exploring Operation: 46-44=2, Resulting Numbers: [30, 76, 2] Generated Node #2: [30, 76, 2] from Operation: 46-44=2 Current State: 53:[30, 76, 2], Operations: ['46-44=2'] Exploring Operation: 30+76=106, Resulting Numbers: [2, 106] Generated Node #3: [2, 106] from Operation: 30+76=106 Current State: 53:[2, 106], Operations: ['46-44=2', '30+76=106'] Exploring Operation: 106/2=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 8, 91, 6, 23 ]
95
[ "8+23=31", "6*31=186", "186-91=95" ]
Current State: 95:[8, 91, 6, 23], Operations: [] Exploring Operation: 8+23=31, Resulting Numbers: [91, 6, 31] Generated Node #2: [91, 6, 31] from Operation: 8+23=31 Current State: 95:[91, 6, 31], Operations: ['8+23=31'] Exploring Operation: 6*31=186, Resulting Numbers: [91, 186] Generated Node #3: [91, 186] from Operation: 6*31=186 Current State: 95:[91, 186], Operations: ['8+23=31', '6*31=186'] Exploring Operation: 186-91=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 19, 15, 60, 45 ]
76
[ "19+60=79", "45/15=3", "79-3=76" ]
Current State: 76:[19, 15, 60, 45], Operations: [] Exploring Operation: 19+60=79, Resulting Numbers: [15, 45, 79] Generated Node #2: [15, 45, 79] from Operation: 19+60=79 Current State: 76:[15, 45, 79], Operations: ['19+60=79'] Exploring Operation: 45/15=3, Resulting Numbers: [79, 3] Generated Node #3: [79, 3] from Operation: 45/15=3 Current State: 76:[79, 3], Operations: ['19+60=79', '45/15=3'] Exploring Operation: 79-3=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 91, 9, 26, 89 ]
70
[ "91-89=2", "9+26=35", "2*35=70" ]
Current State: 70:[91, 9, 26, 89], Operations: [] Exploring Operation: 91-89=2, Resulting Numbers: [9, 26, 2] Generated Node #2: [9, 26, 2] from Operation: 91-89=2 Current State: 70:[9, 26, 2], Operations: ['91-89=2'] Exploring Operation: 9+26=35, Resulting Numbers: [2, 35] Generated Node #3: [2, 35] from Operation: 9+26=35 Current State: 70:[2, 35], Operations: ['91-89=2', '9+26=35'] Exploring Operation: 2*35=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 71, 12, 49, 26 ]
82
[ "71-12=59", "49-26=23", "59+23=82" ]
Current State: 82:[71, 12, 49, 26], Operations: [] Exploring Operation: 71-12=59, Resulting Numbers: [49, 26, 59] Generated Node #2: [49, 26, 59] from Operation: 71-12=59 Current State: 82:[49, 26, 59], Operations: ['71-12=59'] Exploring Operation: 49-26=23, Resulting Numbers: [59, 23] Generated Node #3: [59, 23] from Operation: 49-26=23 Current State: 82:[59, 23], Operations: ['71-12=59', '49-26=23'] Exploring Operation: 59+23=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 88, 55, 57, 96 ]
92
[ "88+96=184", "57-55=2", "184/2=92" ]
Current State: 92:[88, 55, 57, 96], Operations: [] Exploring Operation: 88+96=184, Resulting Numbers: [55, 57, 184] Generated Node #2: [55, 57, 184] from Operation: 88+96=184 Current State: 92:[55, 57, 184], Operations: ['88+96=184'] Exploring Operation: 57-55=2, Resulting Numbers: [184, 2] Generated Node #3: [184, 2] from Operation: 57-55=2 Current State: 92:[184, 2], Operations: ['88+96=184', '57-55=2'] Exploring Operation: 184/2=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 4, 18, 26, 63 ]
65
[ "26-18=8", "8/4=2", "63+2=65" ]
Current State: 65:[4, 18, 26, 63], Operations: [] Exploring Operation: 26-18=8, Resulting Numbers: [4, 63, 8] Generated Node #2: [4, 63, 8] from Operation: 26-18=8 Current State: 65:[4, 63, 8], Operations: ['26-18=8'] Exploring Operation: 8/4=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 8/4=2 Current State: 65:[63, 2], Operations: ['26-18=8', '8/4=2'] Exploring Operation: 63+2=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 39, 35, 27, 36 ]
59
[ "39-35=4", "27+36=63", "63-4=59" ]
Current State: 59:[39, 35, 27, 36], Operations: [] Exploring Operation: 39-35=4, Resulting Numbers: [27, 36, 4] Generated Node #2: [27, 36, 4] from Operation: 39-35=4 Current State: 59:[27, 36, 4], Operations: ['39-35=4'] Exploring Operation: 27+36=63, Resulting Numbers: [4, 63] Generated Node #3: [4, 63] from Operation: 27+36=63 Current State: 59:[4, 63], Operations: ['39-35=4', '27+36=63'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 72, 77, 82, 52 ]
15
[ "72+77=149", "82+52=134", "149-134=15" ]
Current State: 15:[72, 77, 82, 52], Operations: [] Exploring Operation: 72+77=149, Resulting Numbers: [82, 52, 149] Generated Node #2: [82, 52, 149] from Operation: 72+77=149 Current State: 15:[82, 52, 149], Operations: ['72+77=149'] Exploring Operation: 82+52=134, Resulting Numbers: [149, 134] Generated Node #3: [149, 134] from Operation: 82+52=134 Current State: 15:[149, 134], Operations: ['72+77=149', '82+52=134'] Exploring Operation: 149-134=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 45, 3, 13, 76 ]
82
[ "45+76=121", "3*13=39", "121-39=82" ]
Current State: 82:[45, 3, 13, 76], Operations: [] Exploring Operation: 45+76=121, Resulting Numbers: [3, 13, 121] Generated Node #2: [3, 13, 121] from Operation: 45+76=121 Current State: 82:[3, 13, 121], Operations: ['45+76=121'] Exploring Operation: 3*13=39, Resulting Numbers: [121, 39] Generated Node #3: [121, 39] from Operation: 3*13=39 Current State: 82:[121, 39], Operations: ['45+76=121', '3*13=39'] Exploring Operation: 121-39=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 1, 90, 82, 22 ]
30
[ "1*90=90", "82-22=60", "90-60=30" ]
Current State: 30:[1, 90, 82, 22], Operations: [] Exploring Operation: 1*90=90, Resulting Numbers: [82, 22, 90] Generated Node #2: [82, 22, 90] from Operation: 1*90=90 Current State: 30:[82, 22, 90], Operations: ['1*90=90'] Exploring Operation: 82-22=60, Resulting Numbers: [90, 60] Generated Node #3: [90, 60] from Operation: 82-22=60 Current State: 30:[90, 60], Operations: ['1*90=90', '82-22=60'] Exploring Operation: 90-60=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 24, 85, 28, 6 ]
87
[ "24+85=109", "28-6=22", "109-22=87" ]
Current State: 87:[24, 85, 28, 6], Operations: [] Exploring Operation: 24+85=109, Resulting Numbers: [28, 6, 109] Generated Node #2: [28, 6, 109] from Operation: 24+85=109 Current State: 87:[28, 6, 109], Operations: ['24+85=109'] Exploring Operation: 28-6=22, Resulting Numbers: [109, 22] Generated Node #3: [109, 22] from Operation: 28-6=22 Current State: 87:[109, 22], Operations: ['24+85=109', '28-6=22'] Exploring Operation: 109-22=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 57, 94, 44, 65 ]
72
[ "94-57=37", "44+65=109", "109-37=72" ]
Current State: 72:[57, 94, 44, 65], Operations: [] Exploring Operation: 94-57=37, Resulting Numbers: [44, 65, 37] Generated Node #2: [44, 65, 37] from Operation: 94-57=37 Current State: 72:[44, 65, 37], Operations: ['94-57=37'] Exploring Operation: 44+65=109, Resulting Numbers: [37, 109] Generated Node #3: [37, 109] from Operation: 44+65=109 Current State: 72:[37, 109], Operations: ['94-57=37', '44+65=109'] Exploring Operation: 109-37=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 66, 57, 69, 40 ]
59
[ "69-66=3", "57/3=19", "40+19=59" ]
Current State: 59:[66, 57, 69, 40], Operations: [] Exploring Operation: 69-66=3, Resulting Numbers: [57, 40, 3] Generated Node #2: [57, 40, 3] from Operation: 69-66=3 Current State: 59:[57, 40, 3], Operations: ['69-66=3'] Exploring Operation: 57/3=19, Resulting Numbers: [40, 19] Generated Node #3: [40, 19] from Operation: 57/3=19 Current State: 59:[40, 19], Operations: ['69-66=3', '57/3=19'] Exploring Operation: 40+19=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 63, 88, 54, 61 ]
97
[ "61-54=7", "63/7=9", "88+9=97" ]
Current State: 97:[63, 88, 54, 61], Operations: [] Exploring Operation: 61-54=7, Resulting Numbers: [63, 88, 7] Generated Node #2: [63, 88, 7] from Operation: 61-54=7 Current State: 97:[63, 88, 7], Operations: ['61-54=7'] Exploring Operation: 63/7=9, Resulting Numbers: [88, 9] Generated Node #3: [88, 9] from Operation: 63/7=9 Current State: 97:[88, 9], Operations: ['61-54=7', '63/7=9'] Exploring Operation: 88+9=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 36, 58, 76, 79 ]
70
[ "79-76=3", "36/3=12", "58+12=70" ]
Current State: 70:[36, 58, 76, 79], Operations: [] Exploring Operation: 79-76=3, Resulting Numbers: [36, 58, 3] Generated Node #2: [36, 58, 3] from Operation: 79-76=3 Current State: 70:[36, 58, 3], Operations: ['79-76=3'] Exploring Operation: 36/3=12, Resulting Numbers: [58, 12] Generated Node #3: [58, 12] from Operation: 36/3=12 Current State: 70:[58, 12], Operations: ['79-76=3', '36/3=12'] Exploring Operation: 58+12=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 91, 38, 19, 61 ]
28
[ "91-61=30", "38/19=2", "30-2=28" ]
Current State: 28:[91, 38, 19, 61], Operations: [] Exploring Operation: 91-61=30, Resulting Numbers: [38, 19, 30] Generated Node #2: [38, 19, 30] from Operation: 91-61=30 Current State: 28:[38, 19, 30], Operations: ['91-61=30'] Exploring Operation: 38/19=2, Resulting Numbers: [30, 2] Generated Node #3: [30, 2] from Operation: 38/19=2 Current State: 28:[30, 2], Operations: ['91-61=30', '38/19=2'] Exploring Operation: 30-2=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 78, 39, 57, 69 ]
27
[ "78-39=39", "69-57=12", "39-12=27" ]
Current State: 27:[78, 39, 57, 69], Operations: [] Exploring Operation: 78-39=39, Resulting Numbers: [57, 69, 39] Generated Node #2: [57, 69, 39] from Operation: 78-39=39 Current State: 27:[57, 69, 39], Operations: ['78-39=39'] Exploring Operation: 69-57=12, Resulting Numbers: [39, 12] Generated Node #3: [39, 12] from Operation: 69-57=12 Current State: 27:[39, 12], Operations: ['78-39=39', '69-57=12'] Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 80, 6, 94, 42 ]
18
[ "94-80=14", "6*42=252", "252/14=18" ]
Current State: 18:[80, 6, 94, 42], Operations: [] Exploring Operation: 94-80=14, Resulting Numbers: [6, 42, 14] Generated Node #2: [6, 42, 14] from Operation: 94-80=14 Current State: 18:[6, 42, 14], Operations: ['94-80=14'] Exploring Operation: 6*42=252, Resulting Numbers: [14, 252] Generated Node #3: [14, 252] from Operation: 6*42=252 Current State: 18:[14, 252], Operations: ['94-80=14', '6*42=252'] Exploring Operation: 252/14=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 18, 82, 88, 39 ]
36
[ "88-82=6", "18/6=3", "39-3=36" ]
Current State: 36:[18, 82, 88, 39], Operations: [] Exploring Operation: 88-82=6, Resulting Numbers: [18, 39, 6] Generated Node #2: [18, 39, 6] from Operation: 88-82=6 Current State: 36:[18, 39, 6], Operations: ['88-82=6'] Exploring Operation: 18/6=3, Resulting Numbers: [39, 3] Generated Node #3: [39, 3] from Operation: 18/6=3 Current State: 36:[39, 3], Operations: ['88-82=6', '18/6=3'] Exploring Operation: 39-3=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 72, 41, 8, 8 ]
58
[ "72/8=9", "41+8=49", "9+49=58" ]
Current State: 58:[72, 41, 8, 8], Operations: [] Exploring Operation: 72/8=9, Resulting Numbers: [41, 9] Generated Node #2: [41, 9] from Operation: 72/8=9 Current State: 58:[41, 9], Operations: ['72/8=9'] Exploring Operation: 41+8=49, Resulting Numbers: [9, 49] Generated Node #3: [9, 49] from Operation: 41+8=49 Current State: 58:[9, 49], Operations: ['72/8=9', '41+8=49'] Exploring Operation: 9+49=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 50, 97, 98, 2 ]
24
[ "50/2=25", "98-97=1", "25-1=24" ]
Current State: 24:[50, 97, 98, 2], Operations: [] Exploring Operation: 50/2=25, Resulting Numbers: [97, 98, 25] Generated Node #2: [97, 98, 25] from Operation: 50/2=25 Current State: 24:[97, 98, 25], Operations: ['50/2=25'] Exploring Operation: 98-97=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 98-97=1 Current State: 24:[25, 1], Operations: ['50/2=25', '98-97=1'] Exploring Operation: 25-1=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 48, 95, 44, 24 ]
27
[ "95-48=47", "44-24=20", "47-20=27" ]
Current State: 27:[48, 95, 44, 24], Operations: [] Exploring Operation: 95-48=47, Resulting Numbers: [44, 24, 47] Generated Node #2: [44, 24, 47] from Operation: 95-48=47 Current State: 27:[44, 24, 47], Operations: ['95-48=47'] Exploring Operation: 44-24=20, Resulting Numbers: [47, 20] Generated Node #3: [47, 20] from Operation: 44-24=20 Current State: 27:[47, 20], Operations: ['95-48=47', '44-24=20'] Exploring Operation: 47-20=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
[ 71, 59, 1, 30 ]
19
[ "71-59=12", "1+30=31", "31-12=19" ]
Current State: 19:[71, 59, 1, 30], Operations: [] Exploring Operation: 71-59=12, Resulting Numbers: [1, 30, 12] Generated Node #2: [1, 30, 12] from Operation: 71-59=12 Current State: 19:[1, 30, 12], Operations: ['71-59=12'] Exploring Operation: 1+30=31, Resulting Numbers: [12, 31] Generated Node #3: [12, 31] from Operation: 1+30=31 Current State: 19:[12, 31], Operations: ['71-59=12', '1+30=31'] Exploring Operation: 31-12=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 92, 98, 12, 89 ]
94
[ "92-89=3", "12/3=4", "98-4=94" ]
Current State: 94:[92, 98, 12, 89], Operations: [] Exploring Operation: 92-89=3, Resulting Numbers: [98, 12, 3] Generated Node #2: [98, 12, 3] from Operation: 92-89=3 Current State: 94:[98, 12, 3], Operations: ['92-89=3'] Exploring Operation: 12/3=4, Resulting Numbers: [98, 4] Generated Node #3: [98, 4] from Operation: 12/3=4 Current State: 94:[98, 4], Operations: ['92-89=3', '12/3=4'] Exploring Operation: 98-4=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 98, 36, 34, 78 ]
18
[ "98-36=62", "78-34=44", "62-44=18" ]
Current State: 18:[98, 36, 34, 78], Operations: [] Exploring Operation: 98-36=62, Resulting Numbers: [34, 78, 62] Generated Node #2: [34, 78, 62] from Operation: 98-36=62 Current State: 18:[34, 78, 62], Operations: ['98-36=62'] Exploring Operation: 78-34=44, Resulting Numbers: [62, 44] Generated Node #3: [62, 44] from Operation: 78-34=44 Current State: 18:[62, 44], Operations: ['98-36=62', '78-34=44'] Exploring Operation: 62-44=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 4, 1, 6, 79 ]
79
[ "4+1=5", "6-5=1", "79*1=79" ]
Current State: 79:[4, 1, 6, 79], Operations: [] Exploring Operation: 4+1=5, Resulting Numbers: [6, 79, 5] Generated Node #2: [6, 79, 5] from Operation: 4+1=5 Current State: 79:[6, 79, 5], Operations: ['4+1=5'] Exploring Operation: 6-5=1, Resulting Numbers: [79, 1] Generated Node #3: [79, 1] from Operation: 6-5=1 Current State: 79:[79, 1], Operations: ['4+1=5', '6-5=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
[ 96, 6, 18, 22 ]
71
[ "96-22=74", "18/6=3", "74-3=71" ]
Current State: 71:[96, 6, 18, 22], Operations: [] Exploring Operation: 96-22=74, Resulting Numbers: [6, 18, 74] Generated Node #2: [6, 18, 74] from Operation: 96-22=74 Current State: 71:[6, 18, 74], Operations: ['96-22=74'] Exploring Operation: 18/6=3, Resulting Numbers: [74, 3] Generated Node #3: [74, 3] from Operation: 18/6=3 Current State: 71:[74, 3], Operations: ['96-22=74', '18/6=3'] Exploring Operation: 74-3=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 34, 31, 16, 70 ]
83
[ "34-31=3", "16+70=86", "86-3=83" ]
Current State: 83:[34, 31, 16, 70], Operations: [] Exploring Operation: 34-31=3, Resulting Numbers: [16, 70, 3] Generated Node #2: [16, 70, 3] from Operation: 34-31=3 Current State: 83:[16, 70, 3], Operations: ['34-31=3'] Exploring Operation: 16+70=86, Resulting Numbers: [3, 86] Generated Node #3: [3, 86] from Operation: 16+70=86 Current State: 83:[3, 86], Operations: ['34-31=3', '16+70=86'] Exploring Operation: 86-3=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 89, 8, 98, 74 ]
92
[ "98-74=24", "24/8=3", "89+3=92" ]
Current State: 92:[89, 8, 98, 74], Operations: [] Exploring Operation: 98-74=24, Resulting Numbers: [89, 8, 24] Generated Node #2: [89, 8, 24] from Operation: 98-74=24 Current State: 92:[89, 8, 24], Operations: ['98-74=24'] Exploring Operation: 24/8=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 24/8=3 Current State: 92:[89, 3], Operations: ['98-74=24', '24/8=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 77, 46, 32, 56 ]
90
[ "77*32=2464", "2464/56=44", "46+44=90" ]
Current State: 90:[77, 46, 32, 56], Operations: [] Exploring Operation: 77*32=2464, Resulting Numbers: [46, 56, 2464] Generated Node #2: [46, 56, 2464] from Operation: 77*32=2464 Current State: 90:[46, 56, 2464], Operations: ['77*32=2464'] Exploring Operation: 2464/56=44, Resulting Numbers: [46, 44] Generated Node #3: [46, 44] from Operation: 2464/56=44 Current State: 90:[46, 44], Operations: ['77*32=2464', '2464/56=44'] Exploring Operation: 46+44=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 14, 32, 25, 99 ]
92
[ "32-14=18", "99-25=74", "18+74=92" ]
Current State: 92:[14, 32, 25, 99], Operations: [] Exploring Operation: 32-14=18, Resulting Numbers: [25, 99, 18] Generated Node #2: [25, 99, 18] from Operation: 32-14=18 Current State: 92:[25, 99, 18], Operations: ['32-14=18'] Exploring Operation: 99-25=74, Resulting Numbers: [18, 74] Generated Node #3: [18, 74] from Operation: 99-25=74 Current State: 92:[18, 74], Operations: ['32-14=18', '99-25=74'] Exploring Operation: 18+74=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 64, 74, 82, 5 ]
97
[ "74-64=10", "82+5=87", "10+87=97" ]
Current State: 97:[64, 74, 82, 5], Operations: [] Exploring Operation: 74-64=10, Resulting Numbers: [82, 5, 10] Generated Node #2: [82, 5, 10] from Operation: 74-64=10 Current State: 97:[82, 5, 10], Operations: ['74-64=10'] Exploring Operation: 82+5=87, Resulting Numbers: [10, 87] Generated Node #3: [10, 87] from Operation: 82+5=87 Current State: 97:[10, 87], Operations: ['74-64=10', '82+5=87'] Exploring Operation: 10+87=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 54, 84, 32, 80 ]
14
[ "54+32=86", "86-80=6", "84/6=14" ]
Current State: 14:[54, 84, 32, 80], Operations: [] Exploring Operation: 54+32=86, Resulting Numbers: [84, 80, 86] Generated Node #2: [84, 80, 86] from Operation: 54+32=86 Current State: 14:[84, 80, 86], Operations: ['54+32=86'] Exploring Operation: 86-80=6, Resulting Numbers: [84, 6] Generated Node #3: [84, 6] from Operation: 86-80=6 Current State: 14:[84, 6], Operations: ['54+32=86', '86-80=6'] Exploring Operation: 84/6=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 68, 22, 93, 34 ]
31
[ "68+22=90", "93-34=59", "90-59=31" ]
Current State: 31:[68, 22, 93, 34], Operations: [] Exploring Operation: 68+22=90, Resulting Numbers: [93, 34, 90] Generated Node #2: [93, 34, 90] from Operation: 68+22=90 Current State: 31:[93, 34, 90], Operations: ['68+22=90'] Exploring Operation: 93-34=59, Resulting Numbers: [90, 59] Generated Node #3: [90, 59] from Operation: 93-34=59 Current State: 31:[90, 59], Operations: ['68+22=90', '93-34=59'] Exploring Operation: 90-59=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 74, 10, 52, 78 ]
58
[ "74+10=84", "78-52=26", "84-26=58" ]
Current State: 58:[74, 10, 52, 78], Operations: [] Exploring Operation: 74+10=84, Resulting Numbers: [52, 78, 84] Generated Node #2: [52, 78, 84] from Operation: 74+10=84 Current State: 58:[52, 78, 84], Operations: ['74+10=84'] Exploring Operation: 78-52=26, Resulting Numbers: [84, 26] Generated Node #3: [84, 26] from Operation: 78-52=26 Current State: 58:[84, 26], Operations: ['74+10=84', '78-52=26'] Exploring Operation: 84-26=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 53, 72, 68, 19 ]
74
[ "53-19=34", "68/34=2", "72+2=74" ]
Current State: 74:[53, 72, 68, 19], Operations: [] Exploring Operation: 53-19=34, Resulting Numbers: [72, 68, 34] Generated Node #2: [72, 68, 34] from Operation: 53-19=34 Current State: 74:[72, 68, 34], Operations: ['53-19=34'] Exploring Operation: 68/34=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 68/34=2 Current State: 74:[72, 2], Operations: ['53-19=34', '68/34=2'] Exploring Operation: 72+2=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 83, 18, 40, 11 ]
72
[ "83+18=101", "40-11=29", "101-29=72" ]
Current State: 72:[83, 18, 40, 11], Operations: [] Exploring Operation: 83+18=101, Resulting Numbers: [40, 11, 101] Generated Node #2: [40, 11, 101] from Operation: 83+18=101 Current State: 72:[40, 11, 101], Operations: ['83+18=101'] Exploring Operation: 40-11=29, Resulting Numbers: [101, 29] Generated Node #3: [101, 29] from Operation: 40-11=29 Current State: 72:[101, 29], Operations: ['83+18=101', '40-11=29'] Exploring Operation: 101-29=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 23, 6, 81, 13 ]
97
[ "23+6=29", "81-13=68", "29+68=97" ]
Current State: 97:[23, 6, 81, 13], Operations: [] Exploring Operation: 23+6=29, Resulting Numbers: [81, 13, 29] Generated Node #2: [81, 13, 29] from Operation: 23+6=29 Current State: 97:[81, 13, 29], Operations: ['23+6=29'] Exploring Operation: 81-13=68, Resulting Numbers: [29, 68] Generated Node #3: [29, 68] from Operation: 81-13=68 Current State: 97:[29, 68], Operations: ['23+6=29', '81-13=68'] Exploring Operation: 29+68=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 92, 57, 87, 91 ]
29
[ "92+57=149", "87+91=178", "178-149=29" ]
Current State: 29:[92, 57, 87, 91], Operations: [] Exploring Operation: 92+57=149, Resulting Numbers: [87, 91, 149] Generated Node #2: [87, 91, 149] from Operation: 92+57=149 Current State: 29:[87, 91, 149], Operations: ['92+57=149'] Exploring Operation: 87+91=178, Resulting Numbers: [149, 178] Generated Node #3: [149, 178] from Operation: 87+91=178 Current State: 29:[149, 178], Operations: ['92+57=149', '87+91=178'] Exploring Operation: 178-149=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 48, 13, 97, 3 ]
34
[ "48*3=144", "13+97=110", "144-110=34" ]
Current State: 34:[48, 13, 97, 3], Operations: [] Exploring Operation: 48*3=144, Resulting Numbers: [13, 97, 144] Generated Node #2: [13, 97, 144] from Operation: 48*3=144 Current State: 34:[13, 97, 144], Operations: ['48*3=144'] Exploring Operation: 13+97=110, Resulting Numbers: [144, 110] Generated Node #3: [144, 110] from Operation: 13+97=110 Current State: 34:[144, 110], Operations: ['48*3=144', '13+97=110'] Exploring Operation: 144-110=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 86, 13, 16, 24 ]
65
[ "86-13=73", "24-16=8", "73-8=65" ]
Current State: 65:[86, 13, 16, 24], Operations: [] Exploring Operation: 86-13=73, Resulting Numbers: [16, 24, 73] Generated Node #2: [16, 24, 73] from Operation: 86-13=73 Current State: 65:[16, 24, 73], Operations: ['86-13=73'] Exploring Operation: 24-16=8, Resulting Numbers: [73, 8] Generated Node #3: [73, 8] from Operation: 24-16=8 Current State: 65:[73, 8], Operations: ['86-13=73', '24-16=8'] Exploring Operation: 73-8=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 77, 3, 64, 74 ]
63
[ "77-3=74", "74/74=1", "64-1=63" ]
Current State: 63:[77, 3, 64, 74], Operations: [] Exploring Operation: 77-3=74, Resulting Numbers: [64, 74, 74] Generated Node #2: [64, 74, 74] from Operation: 77-3=74 Current State: 63:[64, 74, 74], Operations: ['77-3=74'] Exploring Operation: 74/74=1, Resulting Numbers: [64, 1] Generated Node #3: [64, 1] from Operation: 74/74=1 Current State: 63:[64, 1], Operations: ['77-3=74', '74/74=1'] Exploring Operation: 64-1=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 27, 58, 34, 29 ]
17
[ "27+58=85", "34-29=5", "85/5=17" ]
Current State: 17:[27, 58, 34, 29], Operations: [] Exploring Operation: 27+58=85, Resulting Numbers: [34, 29, 85] Generated Node #2: [34, 29, 85] from Operation: 27+58=85 Current State: 17:[34, 29, 85], Operations: ['27+58=85'] Exploring Operation: 34-29=5, Resulting Numbers: [85, 5] Generated Node #3: [85, 5] from Operation: 34-29=5 Current State: 17:[85, 5], Operations: ['27+58=85', '34-29=5'] Exploring Operation: 85/5=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 20, 76, 66, 46 ]
75
[ "66-20=46", "46/46=1", "76-1=75" ]
Current State: 75:[20, 76, 66, 46], Operations: [] Exploring Operation: 66-20=46, Resulting Numbers: [76, 46, 46] Generated Node #2: [76, 46, 46] from Operation: 66-20=46 Current State: 75:[76, 46, 46], Operations: ['66-20=46'] Exploring Operation: 46/46=1, Resulting Numbers: [76, 1] Generated Node #3: [76, 1] from Operation: 46/46=1 Current State: 75:[76, 1], Operations: ['66-20=46', '46/46=1'] Exploring Operation: 76-1=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 4, 82, 2, 70 ]
46
[ "82-70=12", "4*12=48", "48-2=46" ]
Current State: 46:[4, 82, 2, 70], Operations: [] Exploring Operation: 82-70=12, Resulting Numbers: [4, 2, 12] Generated Node #2: [4, 2, 12] from Operation: 82-70=12 Current State: 46:[4, 2, 12], Operations: ['82-70=12'] Exploring Operation: 4*12=48, Resulting Numbers: [2, 48] Generated Node #3: [2, 48] from Operation: 4*12=48 Current State: 46:[2, 48], Operations: ['82-70=12', '4*12=48'] Exploring Operation: 48-2=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 16, 43, 33, 91 ]
83
[ "43*33=1419", "1419-91=1328", "1328/16=83" ]
Current State: 83:[16, 43, 33, 91], Operations: [] Exploring Operation: 43*33=1419, Resulting Numbers: [16, 91, 1419] Generated Node #2: [16, 91, 1419] from Operation: 43*33=1419 Current State: 83:[16, 91, 1419], Operations: ['43*33=1419'] Exploring Operation: 1419-91=1328, Resulting Numbers: [16, 1328] Generated Node #3: [16, 1328] from Operation: 1419-91=1328 Current State: 83:[16, 1328], Operations: ['43*33=1419', '1419-91=1328'] Exploring Operation: 1328/16=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 15, 81, 4, 6 ]
39
[ "81*4=324", "324/6=54", "54-15=39" ]
Current State: 39:[15, 81, 4, 6], Operations: [] Exploring Operation: 81*4=324, Resulting Numbers: [15, 6, 324] Generated Node #2: [15, 6, 324] from Operation: 81*4=324 Current State: 39:[15, 6, 324], Operations: ['81*4=324'] Exploring Operation: 324/6=54, Resulting Numbers: [15, 54] Generated Node #3: [15, 54] from Operation: 324/6=54 Current State: 39:[15, 54], Operations: ['81*4=324', '324/6=54'] Exploring Operation: 54-15=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 62, 38, 59, 49 ]
84
[ "62-38=24", "59+49=108", "108-24=84" ]
Current State: 84:[62, 38, 59, 49], Operations: [] Exploring Operation: 62-38=24, Resulting Numbers: [59, 49, 24] Generated Node #2: [59, 49, 24] from Operation: 62-38=24 Current State: 84:[59, 49, 24], Operations: ['62-38=24'] Exploring Operation: 59+49=108, Resulting Numbers: [24, 108] Generated Node #3: [24, 108] from Operation: 59+49=108 Current State: 84:[24, 108], Operations: ['62-38=24', '59+49=108'] Exploring Operation: 108-24=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 17, 33, 24, 23 ]
16
[ "33-17=16", "24-23=1", "16*1=16" ]
Current State: 16:[17, 33, 24, 23], Operations: [] Exploring Operation: 33-17=16, Resulting Numbers: [24, 23, 16] Generated Node #2: [24, 23, 16] from Operation: 33-17=16 Current State: 16:[24, 23, 16], Operations: ['33-17=16'] Exploring Operation: 24-23=1, Resulting Numbers: [16, 1] Generated Node #3: [16, 1] from Operation: 24-23=1 Current State: 16:[16, 1], Operations: ['33-17=16', '24-23=1'] Exploring Operation: 16*1=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 44, 4, 78, 6 ]
48
[ "44*6=264", "4*78=312", "312-264=48" ]
Current State: 48:[44, 4, 78, 6], Operations: [] Exploring Operation: 44*6=264, Resulting Numbers: [4, 78, 264] Generated Node #2: [4, 78, 264] from Operation: 44*6=264 Current State: 48:[4, 78, 264], Operations: ['44*6=264'] Exploring Operation: 4*78=312, Resulting Numbers: [264, 312] Generated Node #3: [264, 312] from Operation: 4*78=312 Current State: 48:[264, 312], Operations: ['44*6=264', '4*78=312'] Exploring Operation: 312-264=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 83, 59, 27, 21 ]
81
[ "83-59=24", "24-21=3", "27*3=81" ]
Current State: 81:[83, 59, 27, 21], Operations: [] Exploring Operation: 83-59=24, Resulting Numbers: [27, 21, 24] Generated Node #2: [27, 21, 24] from Operation: 83-59=24 Current State: 81:[27, 21, 24], Operations: ['83-59=24'] Exploring Operation: 24-21=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 24-21=3 Current State: 81:[27, 3], Operations: ['83-59=24', '24-21=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 73, 25, 30, 17 ]
28
[ "73+17=90", "90/30=3", "25+3=28" ]
Current State: 28:[73, 25, 30, 17], Operations: [] Exploring Operation: 73+17=90, Resulting Numbers: [25, 30, 90] Generated Node #2: [25, 30, 90] from Operation: 73+17=90 Current State: 28:[25, 30, 90], Operations: ['73+17=90'] Exploring Operation: 90/30=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 90/30=3 Current State: 28:[25, 3], Operations: ['73+17=90', '90/30=3'] Exploring Operation: 25+3=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 97, 3, 12, 91 ]
21
[ "97+3=100", "91-12=79", "100-79=21" ]
Current State: 21:[97, 3, 12, 91], Operations: [] Exploring Operation: 97+3=100, Resulting Numbers: [12, 91, 100] Generated Node #2: [12, 91, 100] from Operation: 97+3=100 Current State: 21:[12, 91, 100], Operations: ['97+3=100'] Exploring Operation: 91-12=79, Resulting Numbers: [100, 79] Generated Node #3: [100, 79] from Operation: 91-12=79 Current State: 21:[100, 79], Operations: ['97+3=100', '91-12=79'] Exploring Operation: 100-79=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 30, 75, 46, 15 ]
15
[ "75-30=45", "46-45=1", "15*1=15" ]
Current State: 15:[30, 75, 46, 15], Operations: [] Exploring Operation: 75-30=45, Resulting Numbers: [46, 15, 45] Generated Node #2: [46, 15, 45] from Operation: 75-30=45 Current State: 15:[46, 15, 45], Operations: ['75-30=45'] Exploring Operation: 46-45=1, Resulting Numbers: [15, 1] Generated Node #3: [15, 1] from Operation: 46-45=1 Current State: 15:[15, 1], Operations: ['75-30=45', '46-45=1'] Exploring Operation: 15*1=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 3, 58, 2, 6 ]
34
[ "2+6=8", "3*8=24", "58-24=34" ]
Current State: 34:[3, 58, 2, 6], Operations: [] Exploring Operation: 2+6=8, Resulting Numbers: [3, 58, 8] Generated Node #2: [3, 58, 8] from Operation: 2+6=8 Current State: 34:[3, 58, 8], Operations: ['2+6=8'] Exploring Operation: 3*8=24, Resulting Numbers: [58, 24] Generated Node #3: [58, 24] from Operation: 3*8=24 Current State: 34:[58, 24], Operations: ['2+6=8', '3*8=24'] Exploring Operation: 58-24=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 94, 98, 4 ]
68
[ "94-60=34", "98+4=102", "102-34=68" ]
Current State: 68:[60, 94, 98, 4], Operations: [] Exploring Operation: 94-60=34, Resulting Numbers: [98, 4, 34] Generated Node #2: [98, 4, 34] from Operation: 94-60=34 Current State: 68:[98, 4, 34], Operations: ['94-60=34'] Exploring Operation: 98+4=102, Resulting Numbers: [34, 102] Generated Node #3: [34, 102] from Operation: 98+4=102 Current State: 68:[34, 102], Operations: ['94-60=34', '98+4=102'] Exploring Operation: 102-34=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 41, 21, 2, 10 ]
83
[ "41-10=31", "2*31=62", "21+62=83" ]
Current State: 83:[41, 21, 2, 10], Operations: [] Exploring Operation: 41-10=31, Resulting Numbers: [21, 2, 31] Generated Node #2: [21, 2, 31] from Operation: 41-10=31 Current State: 83:[21, 2, 31], Operations: ['41-10=31'] Exploring Operation: 2*31=62, Resulting Numbers: [21, 62] Generated Node #3: [21, 62] from Operation: 2*31=62 Current State: 83:[21, 62], Operations: ['41-10=31', '2*31=62'] Exploring Operation: 21+62=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 48, 10, 18, 22 ]
78
[ "48-10=38", "18+22=40", "38+40=78" ]
Current State: 78:[48, 10, 18, 22], Operations: [] Exploring Operation: 48-10=38, Resulting Numbers: [18, 22, 38] Generated Node #2: [18, 22, 38] from Operation: 48-10=38 Current State: 78:[18, 22, 38], Operations: ['48-10=38'] Exploring Operation: 18+22=40, Resulting Numbers: [38, 40] Generated Node #3: [38, 40] from Operation: 18+22=40 Current State: 78:[38, 40], Operations: ['48-10=38', '18+22=40'] Exploring Operation: 38+40=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 3, 83, 23, 46 ]
84
[ "3+83=86", "46/23=2", "86-2=84" ]
Current State: 84:[3, 83, 23, 46], Operations: [] Exploring Operation: 3+83=86, Resulting Numbers: [23, 46, 86] Generated Node #2: [23, 46, 86] from Operation: 3+83=86 Current State: 84:[23, 46, 86], Operations: ['3+83=86'] Exploring Operation: 46/23=2, Resulting Numbers: [86, 2] Generated Node #3: [86, 2] from Operation: 46/23=2 Current State: 84:[86, 2], Operations: ['3+83=86', '46/23=2'] Exploring Operation: 86-2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 25, 20, 95, 19 ]
95
[ "20*95=1900", "1900/25=76", "19+76=95" ]
Current State: 95:[25, 20, 95, 19], Operations: [] Exploring Operation: 20*95=1900, Resulting Numbers: [25, 19, 1900] Generated Node #2: [25, 19, 1900] from Operation: 20*95=1900 Current State: 95:[25, 19, 1900], Operations: ['20*95=1900'] Exploring Operation: 1900/25=76, Resulting Numbers: [19, 76] Generated Node #3: [19, 76] from Operation: 1900/25=76 Current State: 95:[19, 76], Operations: ['20*95=1900', '1900/25=76'] Exploring Operation: 19+76=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 79, 49, 8, 73 ]
98
[ "79-8=71", "73-71=2", "49*2=98" ]
Current State: 98:[79, 49, 8, 73], Operations: [] Exploring Operation: 79-8=71, Resulting Numbers: [49, 73, 71] Generated Node #2: [49, 73, 71] from Operation: 79-8=71 Current State: 98:[49, 73, 71], Operations: ['79-8=71'] Exploring Operation: 73-71=2, Resulting Numbers: [49, 2] Generated Node #3: [49, 2] from Operation: 73-71=2 Current State: 98:[49, 2], Operations: ['79-8=71', '73-71=2'] Exploring Operation: 49*2=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 52, 45, 99, 2 ]
43
[ "99-52=47", "45*2=90", "90-47=43" ]
Current State: 43:[52, 45, 99, 2], Operations: [] Exploring Operation: 99-52=47, Resulting Numbers: [45, 2, 47] Generated Node #2: [45, 2, 47] from Operation: 99-52=47 Current State: 43:[45, 2, 47], Operations: ['99-52=47'] Exploring Operation: 45*2=90, Resulting Numbers: [47, 90] Generated Node #3: [47, 90] from Operation: 45*2=90 Current State: 43:[47, 90], Operations: ['99-52=47', '45*2=90'] Exploring Operation: 90-47=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 70, 37, 11, 33 ]
26
[ "37-33=4", "11*4=44", "70-44=26" ]
Current State: 26:[70, 37, 11, 33], Operations: [] Exploring Operation: 37-33=4, Resulting Numbers: [70, 11, 4] Generated Node #2: [70, 11, 4] from Operation: 37-33=4 Current State: 26:[70, 11, 4], Operations: ['37-33=4'] Exploring Operation: 11*4=44, Resulting Numbers: [70, 44] Generated Node #3: [70, 44] from Operation: 11*4=44 Current State: 26:[70, 44], Operations: ['37-33=4', '11*4=44'] Exploring Operation: 70-44=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 15, 41, 52, 40 ]
36
[ "15+41=56", "52+40=92", "92-56=36" ]
Current State: 36:[15, 41, 52, 40], Operations: [] Exploring Operation: 15+41=56, Resulting Numbers: [52, 40, 56] Generated Node #2: [52, 40, 56] from Operation: 15+41=56 Current State: 36:[52, 40, 56], Operations: ['15+41=56'] Exploring Operation: 52+40=92, Resulting Numbers: [56, 92] Generated Node #3: [56, 92] from Operation: 52+40=92 Current State: 36:[56, 92], Operations: ['15+41=56', '52+40=92'] Exploring Operation: 92-56=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 85, 24, 48, 30 ]
31
[ "85+24=109", "48+30=78", "109-78=31" ]
Current State: 31:[85, 24, 48, 30], Operations: [] Exploring Operation: 85+24=109, Resulting Numbers: [48, 30, 109] Generated Node #2: [48, 30, 109] from Operation: 85+24=109 Current State: 31:[48, 30, 109], Operations: ['85+24=109'] Exploring Operation: 48+30=78, Resulting Numbers: [109, 78] Generated Node #3: [109, 78] from Operation: 48+30=78 Current State: 31:[109, 78], Operations: ['85+24=109', '48+30=78'] Exploring Operation: 109-78=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 55, 91, 57, 13 ]
16
[ "55+57=112", "91/13=7", "112/7=16" ]
Current State: 16:[55, 91, 57, 13], Operations: [] Exploring Operation: 55+57=112, Resulting Numbers: [91, 13, 112] Generated Node #2: [91, 13, 112] from Operation: 55+57=112 Current State: 16:[91, 13, 112], Operations: ['55+57=112'] Exploring Operation: 91/13=7, Resulting Numbers: [112, 7] Generated Node #3: [112, 7] from Operation: 91/13=7 Current State: 16:[112, 7], Operations: ['55+57=112', '91/13=7'] Exploring Operation: 112/7=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 6, 66, 99, 76 ]
19
[ "6*66=396", "99*76=7524", "7524/396=19" ]
Current State: 19:[6, 66, 99, 76], Operations: [] Exploring Operation: 6*66=396, Resulting Numbers: [99, 76, 396] Generated Node #2: [99, 76, 396] from Operation: 6*66=396 Current State: 19:[99, 76, 396], Operations: ['6*66=396'] Exploring Operation: 99*76=7524, Resulting Numbers: [396, 7524] Generated Node #3: [396, 7524] from Operation: 99*76=7524 Current State: 19:[396, 7524], Operations: ['6*66=396', '99*76=7524'] Exploring Operation: 7524/396=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 18, 63, 13, 31 ]
64
[ "18+13=31", "31/31=1", "63+1=64" ]
Current State: 64:[18, 63, 13, 31], Operations: [] Exploring Operation: 18+13=31, Resulting Numbers: [63, 31, 31] Generated Node #2: [63, 31, 31] from Operation: 18+13=31 Current State: 64:[63, 31, 31], Operations: ['18+13=31'] Exploring Operation: 31/31=1, Resulting Numbers: [63, 1] Generated Node #3: [63, 1] from Operation: 31/31=1 Current State: 64:[63, 1], Operations: ['18+13=31', '31/31=1'] Exploring Operation: 63+1=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 61, 10, 6, 90 ]
89
[ "90-61=29", "10*6=60", "29+60=89" ]
Current State: 89:[61, 10, 6, 90], Operations: [] Exploring Operation: 90-61=29, Resulting Numbers: [10, 6, 29] Generated Node #2: [10, 6, 29] from Operation: 90-61=29 Current State: 89:[10, 6, 29], Operations: ['90-61=29'] Exploring Operation: 10*6=60, Resulting Numbers: [29, 60] Generated Node #3: [29, 60] from Operation: 10*6=60 Current State: 89:[29, 60], Operations: ['90-61=29', '10*6=60'] Exploring Operation: 29+60=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 36, 97, 84, 8 ]
91
[ "84-36=48", "48/8=6", "97-6=91" ]
Current State: 91:[36, 97, 84, 8], Operations: [] Exploring Operation: 84-36=48, Resulting Numbers: [97, 8, 48] Generated Node #2: [97, 8, 48] from Operation: 84-36=48 Current State: 91:[97, 8, 48], Operations: ['84-36=48'] Exploring Operation: 48/8=6, Resulting Numbers: [97, 6] Generated Node #3: [97, 6] from Operation: 48/8=6 Current State: 91:[97, 6], Operations: ['84-36=48', '48/8=6'] Exploring Operation: 97-6=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 60, 36, 6, 9 ]
63
[ "60+9=69", "36/6=6", "69-6=63" ]
Current State: 63:[60, 36, 6, 9], Operations: [] Exploring Operation: 60+9=69, Resulting Numbers: [36, 6, 69] Generated Node #2: [36, 6, 69] from Operation: 60+9=69 Current State: 63:[36, 6, 69], Operations: ['60+9=69'] Exploring Operation: 36/6=6, Resulting Numbers: [69, 6] Generated Node #3: [69, 6] from Operation: 36/6=6 Current State: 63:[69, 6], Operations: ['60+9=69', '36/6=6'] Exploring Operation: 69-6=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 38, 70, 18 ]
98
[ "38+18=56", "56/2=28", "70+28=98" ]
Current State: 98:[2, 38, 70, 18], Operations: [] Exploring Operation: 38+18=56, Resulting Numbers: [2, 70, 56] Generated Node #2: [2, 70, 56] from Operation: 38+18=56 Current State: 98:[2, 70, 56], Operations: ['38+18=56'] Exploring Operation: 56/2=28, Resulting Numbers: [70, 28] Generated Node #3: [70, 28] from Operation: 56/2=28 Current State: 98:[70, 28], Operations: ['38+18=56', '56/2=28'] Exploring Operation: 70+28=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 28, 20, 13, 95 ]
99
[ "20-13=7", "28/7=4", "95+4=99" ]
Current State: 99:[28, 20, 13, 95], Operations: [] Exploring Operation: 20-13=7, Resulting Numbers: [28, 95, 7] Generated Node #2: [28, 95, 7] from Operation: 20-13=7 Current State: 99:[28, 95, 7], Operations: ['20-13=7'] Exploring Operation: 28/7=4, Resulting Numbers: [95, 4] Generated Node #3: [95, 4] from Operation: 28/7=4 Current State: 99:[95, 4], Operations: ['20-13=7', '28/7=4'] Exploring Operation: 95+4=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 18, 20, 28, 16 ]
34
[ "18-16=2", "28/2=14", "20+14=34" ]
Current State: 34:[18, 20, 28, 16], Operations: [] Exploring Operation: 18-16=2, Resulting Numbers: [20, 28, 2] Generated Node #2: [20, 28, 2] from Operation: 18-16=2 Current State: 34:[20, 28, 2], Operations: ['18-16=2'] Exploring Operation: 28/2=14, Resulting Numbers: [20, 14] Generated Node #3: [20, 14] from Operation: 28/2=14 Current State: 34:[20, 14], Operations: ['18-16=2', '28/2=14'] Exploring Operation: 20+14=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 98, 76, 80, 42 ]
52
[ "98+76=174", "80+42=122", "174-122=52" ]
Current State: 52:[98, 76, 80, 42], Operations: [] Exploring Operation: 98+76=174, Resulting Numbers: [80, 42, 174] Generated Node #2: [80, 42, 174] from Operation: 98+76=174 Current State: 52:[80, 42, 174], Operations: ['98+76=174'] Exploring Operation: 80+42=122, Resulting Numbers: [174, 122] Generated Node #3: [174, 122] from Operation: 80+42=122 Current State: 52:[174, 122], Operations: ['98+76=174', '80+42=122'] Exploring Operation: 174-122=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 16, 98, 27, 1 ]
55
[ "98-16=82", "27*1=27", "82-27=55" ]
Current State: 55:[16, 98, 27, 1], Operations: [] Exploring Operation: 98-16=82, Resulting Numbers: [27, 1, 82] Generated Node #2: [27, 1, 82] from Operation: 98-16=82 Current State: 55:[27, 1, 82], Operations: ['98-16=82'] Exploring Operation: 27*1=27, Resulting Numbers: [82, 27] Generated Node #3: [82, 27] from Operation: 27*1=27 Current State: 55:[82, 27], Operations: ['98-16=82', '27*1=27'] Exploring Operation: 82-27=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 22, 10, 60, 37 ]
40
[ "37-22=15", "10*60=600", "600/15=40" ]
Current State: 40:[22, 10, 60, 37], Operations: [] Exploring Operation: 37-22=15, Resulting Numbers: [10, 60, 15] Generated Node #2: [10, 60, 15] from Operation: 37-22=15 Current State: 40:[10, 60, 15], Operations: ['37-22=15'] Exploring Operation: 10*60=600, Resulting Numbers: [15, 600] Generated Node #3: [15, 600] from Operation: 10*60=600 Current State: 40:[15, 600], Operations: ['37-22=15', '10*60=600'] Exploring Operation: 600/15=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 64, 46, 36, 55 ]
68
[ "55-46=9", "36/9=4", "64+4=68" ]
Current State: 68:[64, 46, 36, 55], Operations: [] Exploring Operation: 55-46=9, Resulting Numbers: [64, 36, 9] Generated Node #2: [64, 36, 9] from Operation: 55-46=9 Current State: 68:[64, 36, 9], Operations: ['55-46=9'] Exploring Operation: 36/9=4, Resulting Numbers: [64, 4] Generated Node #3: [64, 4] from Operation: 36/9=4 Current State: 68:[64, 4], Operations: ['55-46=9', '36/9=4'] Exploring Operation: 64+4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 88, 64, 82, 66 ]
24
[ "82-64=18", "88*18=1584", "1584/66=24" ]
Current State: 24:[88, 64, 82, 66], Operations: [] Exploring Operation: 82-64=18, Resulting Numbers: [88, 66, 18] Generated Node #2: [88, 66, 18] from Operation: 82-64=18 Current State: 24:[88, 66, 18], Operations: ['82-64=18'] Exploring Operation: 88*18=1584, Resulting Numbers: [66, 1584] Generated Node #3: [66, 1584] from Operation: 88*18=1584 Current State: 24:[66, 1584], Operations: ['82-64=18', '88*18=1584'] Exploring Operation: 1584/66=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 2, 48, 32, 56 ]
74
[ "2+48=50", "56-32=24", "50+24=74" ]
Current State: 74:[2, 48, 32, 56], Operations: [] Exploring Operation: 2+48=50, Resulting Numbers: [32, 56, 50] Generated Node #2: [32, 56, 50] from Operation: 2+48=50 Current State: 74:[32, 56, 50], Operations: ['2+48=50'] Exploring Operation: 56-32=24, Resulting Numbers: [50, 24] Generated Node #3: [50, 24] from Operation: 56-32=24 Current State: 74:[50, 24], Operations: ['2+48=50', '56-32=24'] Exploring Operation: 50+24=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 85, 10, 70, 25 ]
18
[ "85+70=155", "25+155=180", "180/10=18" ]
Current State: 18:[85, 10, 70, 25], Operations: [] Exploring Operation: 85+70=155, Resulting Numbers: [10, 25, 155] Generated Node #2: [10, 25, 155] from Operation: 85+70=155 Current State: 18:[10, 25, 155], Operations: ['85+70=155'] Exploring Operation: 25+155=180, Resulting Numbers: [10, 180] Generated Node #3: [10, 180] from Operation: 25+155=180 Current State: 18:[10, 180], Operations: ['85+70=155', '25+155=180'] Exploring Operation: 180/10=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 84, 65, 12, 24 ]
61
[ "84+12=96", "96/24=4", "65-4=61" ]
Current State: 61:[84, 65, 12, 24], Operations: [] Exploring Operation: 84+12=96, Resulting Numbers: [65, 24, 96] Generated Node #2: [65, 24, 96] from Operation: 84+12=96 Current State: 61:[65, 24, 96], Operations: ['84+12=96'] Exploring Operation: 96/24=4, Resulting Numbers: [65, 4] Generated Node #3: [65, 4] from Operation: 96/24=4 Current State: 61:[65, 4], Operations: ['84+12=96', '96/24=4'] Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 62, 61, 73, 31 ]
49
[ "62*61=3782", "3782/31=122", "122-73=49" ]
Current State: 49:[62, 61, 73, 31], Operations: [] Exploring Operation: 62*61=3782, Resulting Numbers: [73, 31, 3782] Generated Node #2: [73, 31, 3782] from Operation: 62*61=3782 Current State: 49:[73, 31, 3782], Operations: ['62*61=3782'] Exploring Operation: 3782/31=122, Resulting Numbers: [73, 122] Generated Node #3: [73, 122] from Operation: 3782/31=122 Current State: 49:[73, 122], Operations: ['62*61=3782', '3782/31=122'] Exploring Operation: 122-73=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 75, 83, 48, 65 ]
45
[ "75+83=158", "48+65=113", "158-113=45" ]
Current State: 45:[75, 83, 48, 65], Operations: [] Exploring Operation: 75+83=158, Resulting Numbers: [48, 65, 158] Generated Node #2: [48, 65, 158] from Operation: 75+83=158 Current State: 45:[48, 65, 158], Operations: ['75+83=158'] Exploring Operation: 48+65=113, Resulting Numbers: [158, 113] Generated Node #3: [158, 113] from Operation: 48+65=113 Current State: 45:[158, 113], Operations: ['75+83=158', '48+65=113'] Exploring Operation: 158-113=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 44, 58, 22, 24 ]
51
[ "44+58=102", "24-22=2", "102/2=51" ]
Current State: 51:[44, 58, 22, 24], Operations: [] Exploring Operation: 44+58=102, Resulting Numbers: [22, 24, 102] Generated Node #2: [22, 24, 102] from Operation: 44+58=102 Current State: 51:[22, 24, 102], Operations: ['44+58=102'] Exploring Operation: 24-22=2, Resulting Numbers: [102, 2] Generated Node #3: [102, 2] from Operation: 24-22=2 Current State: 51:[102, 2], Operations: ['44+58=102', '24-22=2'] Exploring Operation: 102/2=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 10, 9, 14, 44 ]
84
[ "10+44=54", "54/9=6", "14*6=84" ]
Current State: 84:[10, 9, 14, 44], Operations: [] Exploring Operation: 10+44=54, Resulting Numbers: [9, 14, 54] Generated Node #2: [9, 14, 54] from Operation: 10+44=54 Current State: 84:[9, 14, 54], Operations: ['10+44=54'] Exploring Operation: 54/9=6, Resulting Numbers: [14, 6] Generated Node #3: [14, 6] from Operation: 54/9=6 Current State: 84:[14, 6], Operations: ['10+44=54', '54/9=6'] Exploring Operation: 14*6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 90, 88, 45, 61 ]
18
[ "90-88=2", "61-45=16", "2+16=18" ]
Current State: 18:[90, 88, 45, 61], Operations: [] Exploring Operation: 90-88=2, Resulting Numbers: [45, 61, 2] Generated Node #2: [45, 61, 2] from Operation: 90-88=2 Current State: 18:[45, 61, 2], Operations: ['90-88=2'] Exploring Operation: 61-45=16, Resulting Numbers: [2, 16] Generated Node #3: [2, 16] from Operation: 61-45=16 Current State: 18:[2, 16], Operations: ['90-88=2', '61-45=16'] Exploring Operation: 2+16=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 47, 80, 17, 10 ]
40
[ "80-47=33", "17-10=7", "33+7=40" ]
Current State: 40:[47, 80, 17, 10], Operations: [] Exploring Operation: 80-47=33, Resulting Numbers: [17, 10, 33] Generated Node #2: [17, 10, 33] from Operation: 80-47=33 Current State: 40:[17, 10, 33], Operations: ['80-47=33'] Exploring Operation: 17-10=7, Resulting Numbers: [33, 7] Generated Node #3: [33, 7] from Operation: 17-10=7 Current State: 40:[33, 7], Operations: ['80-47=33', '17-10=7'] Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 99, 94, 13, 10 ]
75
[ "99-94=5", "13*5=65", "10+65=75" ]
Current State: 75:[99, 94, 13, 10], Operations: [] Exploring Operation: 99-94=5, Resulting Numbers: [13, 10, 5] Generated Node #2: [13, 10, 5] from Operation: 99-94=5 Current State: 75:[13, 10, 5], Operations: ['99-94=5'] Exploring Operation: 13*5=65, Resulting Numbers: [10, 65] Generated Node #3: [10, 65] from Operation: 13*5=65 Current State: 75:[10, 65], Operations: ['99-94=5', '13*5=65'] Exploring Operation: 10+65=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 90, 15, 79, 79 ]
90
[ "79-79=0", "15*0=0", "90+0=90" ]
Current State: 90:[90, 15, 79, 79], Operations: [] Exploring Operation: 79-79=0, Resulting Numbers: [90, 15, 0] Generated Node #2: [90, 15, 0] from Operation: 79-79=0 Current State: 90:[90, 15, 0], Operations: ['79-79=0'] Exploring Operation: 15*0=0, Resulting Numbers: [90, 0] Generated Node #3: [90, 0] from Operation: 15*0=0 Current State: 90:[90, 0], Operations: ['79-79=0', '15*0=0'] Exploring Operation: 90+0=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 11, 29, 13, 44 ]
51
[ "13-11=2", "44/2=22", "29+22=51" ]
Current State: 51:[11, 29, 13, 44], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [29, 44, 2] Generated Node #2: [29, 44, 2] from Operation: 13-11=2 Current State: 51:[29, 44, 2], Operations: ['13-11=2'] Exploring Operation: 44/2=22, Resulting Numbers: [29, 22] Generated Node #3: [29, 22] from Operation: 44/2=22 Current State: 51:[29, 22], Operations: ['13-11=2', '44/2=22'] Exploring Operation: 29+22=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 18, 2, 61, 15 ]
61
[ "18-2=16", "16-15=1", "61*1=61" ]
Current State: 61:[18, 2, 61, 15], Operations: [] Exploring Operation: 18-2=16, Resulting Numbers: [61, 15, 16] Generated Node #2: [61, 15, 16] from Operation: 18-2=16 Current State: 61:[61, 15, 16], Operations: ['18-2=16'] Exploring Operation: 16-15=1, Resulting Numbers: [61, 1] Generated Node #3: [61, 1] from Operation: 16-15=1 Current State: 61:[61, 1], Operations: ['18-2=16', '16-15=1'] Exploring Operation: 61*1=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4