Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 49, 97, 8, 55 ]
99
[ "49+97=146", "55-8=47", "146-47=99" ]
Current State: 99:[49, 97, 8, 55], Operations: [] Exploring Operation: 49+97=146, Resulting Numbers: [8, 55, 146] Generated Node #2: [8, 55, 146] from Operation: 49+97=146 Current State: 99:[8, 55, 146], Operations: ['49+97=146'] Exploring Operation: 55-8=47, Resulting Numbers: [146, 47] Generated Node #3: [146, 47] from Operation: 55-8=47 Current State: 99:[146, 47], Operations: ['49+97=146', '55-8=47'] Exploring Operation: 146-47=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 26, 28, 11, 61 ]
48
[ "28-26=2", "61-11=50", "50-2=48" ]
Current State: 48:[26, 28, 11, 61], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [11, 61, 2] Generated Node #2: [11, 61, 2] from Operation: 28-26=2 Current State: 48:[11, 61, 2], Operations: ['28-26=2'] Exploring Operation: 61-11=50, Resulting Numbers: [2, 50] Generated Node #3: [2, 50] from Operation: 61-11=50 Current State: 48:[2, 50], Operations: ['28-26=2', '61-11=50'] Exploring Operation: 50-2=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 84, 7, 1, 68 ]
82
[ "7-1=6", "84/6=14", "68+14=82" ]
Current State: 82:[84, 7, 1, 68], Operations: [] Exploring Operation: 7-1=6, Resulting Numbers: [84, 68, 6] Generated Node #2: [84, 68, 6] from Operation: 7-1=6 Current State: 82:[84, 68, 6], Operations: ['7-1=6'] Exploring Operation: 84/6=14, Resulting Numbers: [68, 14] Generated Node #3: [68, 14] from Operation: 84/6=14 Current State: 82:[68, 14], Operations: ['7-1=6', '84/6=14'] Exploring Operation: 68+14=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 86, 4, 47, 37 ]
19
[ "86-47=39", "37+39=76", "76/4=19" ]
Current State: 19:[86, 4, 47, 37], Operations: [] Exploring Operation: 86-47=39, Resulting Numbers: [4, 37, 39] Generated Node #2: [4, 37, 39] from Operation: 86-47=39 Current State: 19:[4, 37, 39], Operations: ['86-47=39'] Exploring Operation: 37+39=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 37+39=76 Current State: 19:[4, 76], Operations: ['86-47=39', '37+39=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 67, 56, 24, 39 ]
60
[ "67+56=123", "24+39=63", "123-63=60" ]
Current State: 60:[67, 56, 24, 39], Operations: [] Exploring Operation: 67+56=123, Resulting Numbers: [24, 39, 123] Generated Node #2: [24, 39, 123] from Operation: 67+56=123 Current State: 60:[24, 39, 123], Operations: ['67+56=123'] Exploring Operation: 24+39=63, Resulting Numbers: [123, 63] Generated Node #3: [123, 63] from Operation: 24+39=63 Current State: 60:[123, 63], Operations: ['67+56=123', '24+39=63'] Exploring Operation: 123-63=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 82, 33, 58, 43 ]
100
[ "82+33=115", "58-43=15", "115-15=100" ]
Current State: 100:[82, 33, 58, 43], Operations: [] Exploring Operation: 82+33=115, Resulting Numbers: [58, 43, 115] Generated Node #2: [58, 43, 115] from Operation: 82+33=115 Current State: 100:[58, 43, 115], Operations: ['82+33=115'] Exploring Operation: 58-43=15, Resulting Numbers: [115, 15] Generated Node #3: [115, 15] from Operation: 58-43=15 Current State: 100:[115, 15], Operations: ['82+33=115', '58-43=15'] Exploring Operation: 115-15=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 94, 88, 19, 26 ]
26
[ "94+88=182", "26-19=7", "182/7=26" ]
Current State: 26:[94, 88, 19, 26], Operations: [] Exploring Operation: 94+88=182, Resulting Numbers: [19, 26, 182] Generated Node #2: [19, 26, 182] from Operation: 94+88=182 Current State: 26:[19, 26, 182], Operations: ['94+88=182'] Exploring Operation: 26-19=7, Resulting Numbers: [182, 7] Generated Node #3: [182, 7] from Operation: 26-19=7 Current State: 26:[182, 7], Operations: ['94+88=182', '26-19=7'] Exploring Operation: 182/7=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 95, 21, 29, 19 ]
10
[ "95/19=5", "21+29=50", "50/5=10" ]
Current State: 10:[95, 21, 29, 19], Operations: [] Exploring Operation: 95/19=5, Resulting Numbers: [21, 29, 5] Generated Node #2: [21, 29, 5] from Operation: 95/19=5 Current State: 10:[21, 29, 5], Operations: ['95/19=5'] Exploring Operation: 21+29=50, Resulting Numbers: [5, 50] Generated Node #3: [5, 50] from Operation: 21+29=50 Current State: 10:[5, 50], Operations: ['95/19=5', '21+29=50'] Exploring Operation: 50/5=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 5, 77, 97, 63 ]
88
[ "77-5=72", "97+63=160", "160-72=88" ]
Current State: 88:[5, 77, 97, 63], Operations: [] Exploring Operation: 77-5=72, Resulting Numbers: [97, 63, 72] Generated Node #2: [97, 63, 72] from Operation: 77-5=72 Current State: 88:[97, 63, 72], Operations: ['77-5=72'] Exploring Operation: 97+63=160, Resulting Numbers: [72, 160] Generated Node #3: [72, 160] from Operation: 97+63=160 Current State: 88:[72, 160], Operations: ['77-5=72', '97+63=160'] Exploring Operation: 160-72=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 6, 29, 78 ]
86
[ "10+78=88", "6*29=174", "174-88=86" ]
Current State: 86:[10, 6, 29, 78], Operations: [] Exploring Operation: 10+78=88, Resulting Numbers: [6, 29, 88] Generated Node #2: [6, 29, 88] from Operation: 10+78=88 Current State: 86:[6, 29, 88], Operations: ['10+78=88'] Exploring Operation: 6*29=174, Resulting Numbers: [88, 174] Generated Node #3: [88, 174] from Operation: 6*29=174 Current State: 86:[88, 174], Operations: ['10+78=88', '6*29=174'] Exploring Operation: 174-88=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 35, 74, 3, 14 ]
15
[ "74-14=60", "60/3=20", "35-20=15" ]
Current State: 15:[35, 74, 3, 14], Operations: [] Exploring Operation: 74-14=60, Resulting Numbers: [35, 3, 60] Generated Node #2: [35, 3, 60] from Operation: 74-14=60 Current State: 15:[35, 3, 60], Operations: ['74-14=60'] Exploring Operation: 60/3=20, Resulting Numbers: [35, 20] Generated Node #3: [35, 20] from Operation: 60/3=20 Current State: 15:[35, 20], Operations: ['74-14=60', '60/3=20'] Exploring Operation: 35-20=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 18, 46, 56, 47 ]
55
[ "18+46=64", "56-47=9", "64-9=55" ]
Current State: 55:[18, 46, 56, 47], Operations: [] Exploring Operation: 18+46=64, Resulting Numbers: [56, 47, 64] Generated Node #2: [56, 47, 64] from Operation: 18+46=64 Current State: 55:[56, 47, 64], Operations: ['18+46=64'] Exploring Operation: 56-47=9, Resulting Numbers: [64, 9] Generated Node #3: [64, 9] from Operation: 56-47=9 Current State: 55:[64, 9], Operations: ['18+46=64', '56-47=9'] Exploring Operation: 64-9=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 55, 66, 52, 66 ]
88
[ "55-52=3", "66/3=22", "66+22=88" ]
Current State: 88:[55, 66, 52, 66], Operations: [] Exploring Operation: 55-52=3, Resulting Numbers: [66, 66, 3] Generated Node #2: [66, 66, 3] from Operation: 55-52=3 Current State: 88:[66, 66, 3], Operations: ['55-52=3'] Exploring Operation: 66/3=22, Resulting Numbers: [22] 22,88 equal: Goal Reached Exploring Operation: 66+22=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 48, 40, 95, 90 ]
56
[ "95-90=5", "40/5=8", "48+8=56" ]
Current State: 56:[48, 40, 95, 90], Operations: [] Exploring Operation: 95-90=5, Resulting Numbers: [48, 40, 5] Generated Node #2: [48, 40, 5] from Operation: 95-90=5 Current State: 56:[48, 40, 5], Operations: ['95-90=5'] Exploring Operation: 40/5=8, Resulting Numbers: [48, 8] Generated Node #3: [48, 8] from Operation: 40/5=8 Current State: 56:[48, 8], Operations: ['95-90=5', '40/5=8'] Exploring Operation: 48+8=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 98, 81, 73, 95 ]
45
[ "98+73=171", "81*95=7695", "7695/171=45" ]
Current State: 45:[98, 81, 73, 95], Operations: [] Exploring Operation: 98+73=171, Resulting Numbers: [81, 95, 171] Generated Node #2: [81, 95, 171] from Operation: 98+73=171 Current State: 45:[81, 95, 171], Operations: ['98+73=171'] Exploring Operation: 81*95=7695, Resulting Numbers: [171, 7695] Generated Node #3: [171, 7695] from Operation: 81*95=7695 Current State: 45:[171, 7695], Operations: ['98+73=171', '81*95=7695'] Exploring Operation: 7695/171=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 89, 40, 56, 96 ]
32
[ "96-89=7", "56/7=8", "40-8=32" ]
Current State: 32:[89, 40, 56, 96], Operations: [] Exploring Operation: 96-89=7, Resulting Numbers: [40, 56, 7] Generated Node #2: [40, 56, 7] from Operation: 96-89=7 Current State: 32:[40, 56, 7], Operations: ['96-89=7'] Exploring Operation: 56/7=8, Resulting Numbers: [40, 8] Generated Node #3: [40, 8] from Operation: 56/7=8 Current State: 32:[40, 8], Operations: ['96-89=7', '56/7=8'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 42, 12, 10, 51 ]
46
[ "10*51=510", "42+510=552", "552/12=46" ]
Current State: 46:[42, 12, 10, 51], Operations: [] Exploring Operation: 10*51=510, Resulting Numbers: [42, 12, 510] Generated Node #2: [42, 12, 510] from Operation: 10*51=510 Current State: 46:[42, 12, 510], Operations: ['10*51=510'] Exploring Operation: 42+510=552, Resulting Numbers: [12, 552] Generated Node #3: [12, 552] from Operation: 42+510=552 Current State: 46:[12, 552], Operations: ['10*51=510', '42+510=552'] Exploring Operation: 552/12=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 6, 23, 20, 24 ]
68
[ "23-6=17", "24-20=4", "17*4=68" ]
Current State: 68:[6, 23, 20, 24], Operations: [] Exploring Operation: 23-6=17, Resulting Numbers: [20, 24, 17] Generated Node #2: [20, 24, 17] from Operation: 23-6=17 Current State: 68:[20, 24, 17], Operations: ['23-6=17'] Exploring Operation: 24-20=4, Resulting Numbers: [17, 4] Generated Node #3: [17, 4] from Operation: 24-20=4 Current State: 68:[17, 4], Operations: ['23-6=17', '24-20=4'] Exploring Operation: 17*4=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 25, 89, 95, 15 ]
97
[ "25+95=120", "120/15=8", "89+8=97" ]
Current State: 97:[25, 89, 95, 15], Operations: [] Exploring Operation: 25+95=120, Resulting Numbers: [89, 15, 120] Generated Node #2: [89, 15, 120] from Operation: 25+95=120 Current State: 97:[89, 15, 120], Operations: ['25+95=120'] Exploring Operation: 120/15=8, Resulting Numbers: [89, 8] Generated Node #3: [89, 8] from Operation: 120/15=8 Current State: 97:[89, 8], Operations: ['25+95=120', '120/15=8'] Exploring Operation: 89+8=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 42, 68, 2, 16 ]
16
[ "42-16=26", "2*26=52", "68-52=16" ]
Current State: 16:[42, 68, 2, 16], Operations: [] Exploring Operation: 42-16=26, Resulting Numbers: [68, 2, 26] Generated Node #2: [68, 2, 26] from Operation: 42-16=26 Current State: 16:[68, 2, 26], Operations: ['42-16=26'] Exploring Operation: 2*26=52, Resulting Numbers: [68, 52] Generated Node #3: [68, 52] from Operation: 2*26=52 Current State: 16:[68, 52], Operations: ['42-16=26', '2*26=52'] Exploring Operation: 68-52=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 42, 21, 80, 61 ]
82
[ "42+21=63", "80-61=19", "63+19=82" ]
Current State: 82:[42, 21, 80, 61], Operations: [] Exploring Operation: 42+21=63, Resulting Numbers: [80, 61, 63] Generated Node #2: [80, 61, 63] from Operation: 42+21=63 Current State: 82:[80, 61, 63], Operations: ['42+21=63'] Exploring Operation: 80-61=19, Resulting Numbers: [63, 19] Generated Node #3: [63, 19] from Operation: 80-61=19 Current State: 82:[63, 19], Operations: ['42+21=63', '80-61=19'] Exploring Operation: 63+19=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 89, 62, 85, 7 ]
72
[ "85-62=23", "7*23=161", "161-89=72" ]
Current State: 72:[89, 62, 85, 7], Operations: [] Exploring Operation: 85-62=23, Resulting Numbers: [89, 7, 23] Generated Node #2: [89, 7, 23] from Operation: 85-62=23 Current State: 72:[89, 7, 23], Operations: ['85-62=23'] Exploring Operation: 7*23=161, Resulting Numbers: [89, 161] Generated Node #3: [89, 161] from Operation: 7*23=161 Current State: 72:[89, 161], Operations: ['85-62=23', '7*23=161'] Exploring Operation: 161-89=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 44, 27, 31, 71 ]
32
[ "44+27=71", "71/71=1", "31+1=32" ]
Current State: 32:[44, 27, 31, 71], Operations: [] Exploring Operation: 44+27=71, Resulting Numbers: [31, 71, 71] Generated Node #2: [31, 71, 71] from Operation: 44+27=71 Current State: 32:[31, 71, 71], Operations: ['44+27=71'] Exploring Operation: 71/71=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 71/71=1 Current State: 32:[31, 1], Operations: ['44+27=71', '71/71=1'] Exploring Operation: 31+1=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 84, 33, 31, 58 ]
52
[ "84-58=26", "33-31=2", "26*2=52" ]
Current State: 52:[84, 33, 31, 58], Operations: [] Exploring Operation: 84-58=26, Resulting Numbers: [33, 31, 26] Generated Node #2: [33, 31, 26] from Operation: 84-58=26 Current State: 52:[33, 31, 26], Operations: ['84-58=26'] Exploring Operation: 33-31=2, Resulting Numbers: [26, 2] Generated Node #3: [26, 2] from Operation: 33-31=2 Current State: 52:[26, 2], Operations: ['84-58=26', '33-31=2'] Exploring Operation: 26*2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 28, 5, 20, 80 ]
32
[ "28+20=48", "80/5=16", "48-16=32" ]
Current State: 32:[28, 5, 20, 80], Operations: [] Exploring Operation: 28+20=48, Resulting Numbers: [5, 80, 48] Generated Node #2: [5, 80, 48] from Operation: 28+20=48 Current State: 32:[5, 80, 48], Operations: ['28+20=48'] Exploring Operation: 80/5=16, Resulting Numbers: [48, 16] Generated Node #3: [48, 16] from Operation: 80/5=16 Current State: 32:[48, 16], Operations: ['28+20=48', '80/5=16'] Exploring Operation: 48-16=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 21, 58, 3, 6 ]
63
[ "21-6=15", "15/3=5", "58+5=63" ]
Current State: 63:[21, 58, 3, 6], Operations: [] Exploring Operation: 21-6=15, Resulting Numbers: [58, 3, 15] Generated Node #2: [58, 3, 15] from Operation: 21-6=15 Current State: 63:[58, 3, 15], Operations: ['21-6=15'] Exploring Operation: 15/3=5, Resulting Numbers: [58, 5] Generated Node #3: [58, 5] from Operation: 15/3=5 Current State: 63:[58, 5], Operations: ['21-6=15', '15/3=5'] Exploring Operation: 58+5=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 2, 85, 38, 39 ]
84
[ "85-2=83", "39-38=1", "83+1=84" ]
Current State: 84:[2, 85, 38, 39], Operations: [] Exploring Operation: 85-2=83, Resulting Numbers: [38, 39, 83] Generated Node #2: [38, 39, 83] from Operation: 85-2=83 Current State: 84:[38, 39, 83], Operations: ['85-2=83'] Exploring Operation: 39-38=1, Resulting Numbers: [83, 1] Generated Node #3: [83, 1] from Operation: 39-38=1 Current State: 84:[83, 1], Operations: ['85-2=83', '39-38=1'] Exploring Operation: 83+1=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 85, 1, 94, 85 ]
93
[ "85+1=86", "94+85=179", "179-86=93" ]
Current State: 93:[85, 1, 94, 85], Operations: [] Exploring Operation: 85+1=86, Resulting Numbers: [94, 86] Generated Node #2: [94, 86] from Operation: 85+1=86 Current State: 93:[94, 86], Operations: ['85+1=86'] Exploring Operation: 94+85=179, Resulting Numbers: [86, 179] Generated Node #3: [86, 179] from Operation: 94+85=179 Current State: 93:[86, 179], Operations: ['85+1=86', '94+85=179'] Exploring Operation: 179-86=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 7, 86, 23, 10 ]
85
[ "7*23=161", "86-10=76", "161-76=85" ]
Current State: 85:[7, 86, 23, 10], Operations: [] Exploring Operation: 7*23=161, Resulting Numbers: [86, 10, 161] Generated Node #2: [86, 10, 161] from Operation: 7*23=161 Current State: 85:[86, 10, 161], Operations: ['7*23=161'] Exploring Operation: 86-10=76, Resulting Numbers: [161, 76] Generated Node #3: [161, 76] from Operation: 86-10=76 Current State: 85:[161, 76], Operations: ['7*23=161', '86-10=76'] Exploring Operation: 161-76=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 3, 29, 99, 61 ]
55
[ "3*61=183", "29+99=128", "183-128=55" ]
Current State: 55:[3, 29, 99, 61], Operations: [] Exploring Operation: 3*61=183, Resulting Numbers: [29, 99, 183] Generated Node #2: [29, 99, 183] from Operation: 3*61=183 Current State: 55:[29, 99, 183], Operations: ['3*61=183'] Exploring Operation: 29+99=128, Resulting Numbers: [183, 128] Generated Node #3: [183, 128] from Operation: 29+99=128 Current State: 55:[183, 128], Operations: ['3*61=183', '29+99=128'] Exploring Operation: 183-128=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 88, 81, 93, 66 ]
75
[ "93-88=5", "81-66=15", "5*15=75" ]
Current State: 75:[88, 81, 93, 66], Operations: [] Exploring Operation: 93-88=5, Resulting Numbers: [81, 66, 5] Generated Node #2: [81, 66, 5] from Operation: 93-88=5 Current State: 75:[81, 66, 5], Operations: ['93-88=5'] Exploring Operation: 81-66=15, Resulting Numbers: [5, 15] Generated Node #3: [5, 15] from Operation: 81-66=15 Current State: 75:[5, 15], Operations: ['93-88=5', '81-66=15'] Exploring Operation: 5*15=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 91, 85, 12, 42 ]
84
[ "91-85=6", "12*42=504", "504/6=84" ]
Current State: 84:[91, 85, 12, 42], Operations: [] Exploring Operation: 91-85=6, Resulting Numbers: [12, 42, 6] Generated Node #2: [12, 42, 6] from Operation: 91-85=6 Current State: 84:[12, 42, 6], Operations: ['91-85=6'] Exploring Operation: 12*42=504, Resulting Numbers: [6, 504] Generated Node #3: [6, 504] from Operation: 12*42=504 Current State: 84:[6, 504], Operations: ['91-85=6', '12*42=504'] Exploring Operation: 504/6=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 33, 80, 91, 21 ]
43
[ "33+80=113", "91-21=70", "113-70=43" ]
Current State: 43:[33, 80, 91, 21], Operations: [] Exploring Operation: 33+80=113, Resulting Numbers: [91, 21, 113] Generated Node #2: [91, 21, 113] from Operation: 33+80=113 Current State: 43:[91, 21, 113], Operations: ['33+80=113'] Exploring Operation: 91-21=70, Resulting Numbers: [113, 70] Generated Node #3: [113, 70] from Operation: 91-21=70 Current State: 43:[113, 70], Operations: ['33+80=113', '91-21=70'] Exploring Operation: 113-70=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 89, 72, 91, 97 ]
82
[ "97-89=8", "72/8=9", "91-9=82" ]
Current State: 82:[89, 72, 91, 97], Operations: [] Exploring Operation: 97-89=8, Resulting Numbers: [72, 91, 8] Generated Node #2: [72, 91, 8] from Operation: 97-89=8 Current State: 82:[72, 91, 8], Operations: ['97-89=8'] Exploring Operation: 72/8=9, Resulting Numbers: [91, 9] Generated Node #3: [91, 9] from Operation: 72/8=9 Current State: 82:[91, 9], Operations: ['97-89=8', '72/8=9'] Exploring Operation: 91-9=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
[ 20, 2, 40, 60 ]
60
[ "20*2=40", "40+60=100", "100-40=60" ]
Current State: 60:[20, 2, 40, 60], Operations: [] Exploring Operation: 20*2=40, Resulting Numbers: [40, 60, 40] Generated Node #2: [40, 60, 40] from Operation: 20*2=40 Current State: 60:[40, 60, 40], Operations: ['20*2=40'] Exploring Operation: 40+60=100, Resulting Numbers: [100] 100,60 equal: Goal Reached Exploring Operation: 100-40=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 29, 97, 19, 75 ]
87
[ "97-19=78", "78-75=3", "29*3=87" ]
Current State: 87:[29, 97, 19, 75], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [29, 75, 78] Generated Node #2: [29, 75, 78] from Operation: 97-19=78 Current State: 87:[29, 75, 78], Operations: ['97-19=78'] Exploring Operation: 78-75=3, Resulting Numbers: [29, 3] Generated Node #3: [29, 3] from Operation: 78-75=3 Current State: 87:[29, 3], Operations: ['97-19=78', '78-75=3'] Exploring Operation: 29*3=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 84, 68, 80, 53 ]
36
[ "84-80=4", "68/4=17", "53-17=36" ]
Current State: 36:[84, 68, 80, 53], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [68, 53, 4] Generated Node #2: [68, 53, 4] from Operation: 84-80=4 Current State: 36:[68, 53, 4], Operations: ['84-80=4'] Exploring Operation: 68/4=17, Resulting Numbers: [53, 17] Generated Node #3: [53, 17] from Operation: 68/4=17 Current State: 36:[53, 17], Operations: ['84-80=4', '68/4=17'] Exploring Operation: 53-17=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 8, 55, 10, 91 ]
45
[ "91-55=36", "10*36=360", "360/8=45" ]
Current State: 45:[8, 55, 10, 91], Operations: [] Exploring Operation: 91-55=36, Resulting Numbers: [8, 10, 36] Generated Node #2: [8, 10, 36] from Operation: 91-55=36 Current State: 45:[8, 10, 36], Operations: ['91-55=36'] Exploring Operation: 10*36=360, Resulting Numbers: [8, 360] Generated Node #3: [8, 360] from Operation: 10*36=360 Current State: 45:[8, 360], Operations: ['91-55=36', '10*36=360'] Exploring Operation: 360/8=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 59, 13, 85, 98 ]
88
[ "98-59=39", "39/13=3", "85+3=88" ]
Current State: 88:[59, 13, 85, 98], Operations: [] Exploring Operation: 98-59=39, Resulting Numbers: [13, 85, 39] Generated Node #2: [13, 85, 39] from Operation: 98-59=39 Current State: 88:[13, 85, 39], Operations: ['98-59=39'] Exploring Operation: 39/13=3, Resulting Numbers: [85, 3] Generated Node #3: [85, 3] from Operation: 39/13=3 Current State: 88:[85, 3], Operations: ['98-59=39', '39/13=3'] Exploring Operation: 85+3=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 85, 30, 5, 5 ]
16
[ "85-30=55", "55/5=11", "5+11=16" ]
Current State: 16:[85, 30, 5, 5], Operations: [] Exploring Operation: 85-30=55, Resulting Numbers: [5, 5, 55] Generated Node #2: [5, 5, 55] from Operation: 85-30=55 Current State: 16:[5, 5, 55], Operations: ['85-30=55'] Exploring Operation: 55/5=11, Resulting Numbers: [11] 11,16 equal: Goal Reached Exploring Operation: 5+11=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
[ 65, 26, 73, 35 ]
95
[ "73-35=38", "65*38=2470", "2470/26=95" ]
Current State: 95:[65, 26, 73, 35], Operations: [] Exploring Operation: 73-35=38, Resulting Numbers: [65, 26, 38] Generated Node #2: [65, 26, 38] from Operation: 73-35=38 Current State: 95:[65, 26, 38], Operations: ['73-35=38'] Exploring Operation: 65*38=2470, Resulting Numbers: [26, 2470] Generated Node #3: [26, 2470] from Operation: 65*38=2470 Current State: 95:[26, 2470], Operations: ['73-35=38', '65*38=2470'] Exploring Operation: 2470/26=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 65, 2, 32, 3 ]
19
[ "2+3=5", "65/5=13", "32-13=19" ]
Current State: 19:[65, 2, 32, 3], Operations: [] Exploring Operation: 2+3=5, Resulting Numbers: [65, 32, 5] Generated Node #2: [65, 32, 5] from Operation: 2+3=5 Current State: 19:[65, 32, 5], Operations: ['2+3=5'] Exploring Operation: 65/5=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 65/5=13 Current State: 19:[32, 13], Operations: ['2+3=5', '65/5=13'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 93, 84, 88, 35 ]
62
[ "93-84=9", "88-35=53", "9+53=62" ]
Current State: 62:[93, 84, 88, 35], Operations: [] Exploring Operation: 93-84=9, Resulting Numbers: [88, 35, 9] Generated Node #2: [88, 35, 9] from Operation: 93-84=9 Current State: 62:[88, 35, 9], Operations: ['93-84=9'] Exploring Operation: 88-35=53, Resulting Numbers: [9, 53] Generated Node #3: [9, 53] from Operation: 88-35=53 Current State: 62:[9, 53], Operations: ['93-84=9', '88-35=53'] Exploring Operation: 9+53=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 41, 77, 70, 69 ]
100
[ "41+69=110", "70*110=7700", "7700/77=100" ]
Current State: 100:[41, 77, 70, 69], Operations: [] Exploring Operation: 41+69=110, Resulting Numbers: [77, 70, 110] Generated Node #2: [77, 70, 110] from Operation: 41+69=110 Current State: 100:[77, 70, 110], Operations: ['41+69=110'] Exploring Operation: 70*110=7700, Resulting Numbers: [77, 7700] Generated Node #3: [77, 7700] from Operation: 70*110=7700 Current State: 100:[77, 7700], Operations: ['41+69=110', '70*110=7700'] Exploring Operation: 7700/77=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 65, 85, 5, 4 ]
52
[ "65+4=69", "85/5=17", "69-17=52" ]
Current State: 52:[65, 85, 5, 4], Operations: [] Exploring Operation: 65+4=69, Resulting Numbers: [85, 5, 69] Generated Node #2: [85, 5, 69] from Operation: 65+4=69 Current State: 52:[85, 5, 69], Operations: ['65+4=69'] Exploring Operation: 85/5=17, Resulting Numbers: [69, 17] Generated Node #3: [69, 17] from Operation: 85/5=17 Current State: 52:[69, 17], Operations: ['65+4=69', '85/5=17'] Exploring Operation: 69-17=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 63, 34, 87, 89 ]
92
[ "63-34=29", "87/29=3", "89+3=92" ]
Current State: 92:[63, 34, 87, 89], Operations: [] Exploring Operation: 63-34=29, Resulting Numbers: [87, 89, 29] Generated Node #2: [87, 89, 29] from Operation: 63-34=29 Current State: 92:[87, 89, 29], Operations: ['63-34=29'] Exploring Operation: 87/29=3, Resulting Numbers: [89, 3] Generated Node #3: [89, 3] from Operation: 87/29=3 Current State: 92:[89, 3], Operations: ['63-34=29', '87/29=3'] Exploring Operation: 89+3=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 33, 12, 19, 79 ]
39
[ "33-12=21", "79-19=60", "60-21=39" ]
Current State: 39:[33, 12, 19, 79], Operations: [] Exploring Operation: 33-12=21, Resulting Numbers: [19, 79, 21] Generated Node #2: [19, 79, 21] from Operation: 33-12=21 Current State: 39:[19, 79, 21], Operations: ['33-12=21'] Exploring Operation: 79-19=60, Resulting Numbers: [21, 60] Generated Node #3: [21, 60] from Operation: 79-19=60 Current State: 39:[21, 60], Operations: ['33-12=21', '79-19=60'] Exploring Operation: 60-21=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 8, 96, 12, 69 ]
68
[ "96/8=12", "12/12=1", "69-1=68" ]
Current State: 68:[8, 96, 12, 69], Operations: [] Exploring Operation: 96/8=12, Resulting Numbers: [12, 69, 12] Generated Node #2: [12, 69, 12] from Operation: 96/8=12 Current State: 68:[12, 69, 12], Operations: ['96/8=12'] Exploring Operation: 12/12=1, Resulting Numbers: [69, 1] Generated Node #3: [69, 1] from Operation: 12/12=1 Current State: 68:[69, 1], Operations: ['96/8=12', '12/12=1'] Exploring Operation: 69-1=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
[ 91, 48, 10, 71 ]
50
[ "91-71=20", "20/10=2", "48+2=50" ]
Current State: 50:[91, 48, 10, 71], Operations: [] Exploring Operation: 91-71=20, Resulting Numbers: [48, 10, 20] Generated Node #2: [48, 10, 20] from Operation: 91-71=20 Current State: 50:[48, 10, 20], Operations: ['91-71=20'] Exploring Operation: 20/10=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 20/10=2 Current State: 50:[48, 2], Operations: ['91-71=20', '20/10=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 19, 9, 92, 23 ]
55
[ "9*92=828", "828/23=36", "19+36=55" ]
Current State: 55:[19, 9, 92, 23], Operations: [] Exploring Operation: 9*92=828, Resulting Numbers: [19, 23, 828] Generated Node #2: [19, 23, 828] from Operation: 9*92=828 Current State: 55:[19, 23, 828], Operations: ['9*92=828'] Exploring Operation: 828/23=36, Resulting Numbers: [19, 36] Generated Node #3: [19, 36] from Operation: 828/23=36 Current State: 55:[19, 36], Operations: ['9*92=828', '828/23=36'] Exploring Operation: 19+36=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 94, 89, 88, 59 ]
35
[ "94-59=35", "89-88=1", "35*1=35" ]
Current State: 35:[94, 89, 88, 59], Operations: [] Exploring Operation: 94-59=35, Resulting Numbers: [89, 88, 35] Generated Node #2: [89, 88, 35] from Operation: 94-59=35 Current State: 35:[89, 88, 35], Operations: ['94-59=35'] Exploring Operation: 89-88=1, Resulting Numbers: [35, 1] Generated Node #3: [35, 1] from Operation: 89-88=1 Current State: 35:[35, 1], Operations: ['94-59=35', '89-88=1'] Exploring Operation: 35*1=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 80, 18, 77, 58 ]
80
[ "77-18=59", "59-58=1", "80*1=80" ]
Current State: 80:[80, 18, 77, 58], Operations: [] Exploring Operation: 77-18=59, Resulting Numbers: [80, 58, 59] Generated Node #2: [80, 58, 59] from Operation: 77-18=59 Current State: 80:[80, 58, 59], Operations: ['77-18=59'] Exploring Operation: 59-58=1, Resulting Numbers: [80, 1] Generated Node #3: [80, 1] from Operation: 59-58=1 Current State: 80:[80, 1], Operations: ['77-18=59', '59-58=1'] Exploring Operation: 80*1=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 42, 42, 35, 5 ]
84
[ "42-35=7", "7-5=2", "42*2=84" ]
Current State: 84:[42, 42, 35, 5], Operations: [] Exploring Operation: 42-35=7, Resulting Numbers: [5, 7] Generated Node #2: [5, 7] from Operation: 42-35=7 Current State: 84:[5, 7], Operations: ['42-35=7'] Exploring Operation: 7-5=2, Resulting Numbers: [2] 2,84 equal: Goal Reached Exploring Operation: 42*2=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 26, 79, 50, 55 ]
51
[ "55-50=5", "26*5=130", "130-79=51" ]
Current State: 51:[26, 79, 50, 55], Operations: [] Exploring Operation: 55-50=5, Resulting Numbers: [26, 79, 5] Generated Node #2: [26, 79, 5] from Operation: 55-50=5 Current State: 51:[26, 79, 5], Operations: ['55-50=5'] Exploring Operation: 26*5=130, Resulting Numbers: [79, 130] Generated Node #3: [79, 130] from Operation: 26*5=130 Current State: 51:[79, 130], Operations: ['55-50=5', '26*5=130'] Exploring Operation: 130-79=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 55, 88, 11, 9 ]
22
[ "55+88=143", "143/11=13", "9+13=22" ]
Current State: 22:[55, 88, 11, 9], Operations: [] Exploring Operation: 55+88=143, Resulting Numbers: [11, 9, 143] Generated Node #2: [11, 9, 143] from Operation: 55+88=143 Current State: 22:[11, 9, 143], Operations: ['55+88=143'] Exploring Operation: 143/11=13, Resulting Numbers: [9, 13] Generated Node #3: [9, 13] from Operation: 143/11=13 Current State: 22:[9, 13], Operations: ['55+88=143', '143/11=13'] Exploring Operation: 9+13=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 21, 46, 23, 9 ]
99
[ "21+46=67", "23+9=32", "67+32=99" ]
Current State: 99:[21, 46, 23, 9], Operations: [] Exploring Operation: 21+46=67, Resulting Numbers: [23, 9, 67] Generated Node #2: [23, 9, 67] from Operation: 21+46=67 Current State: 99:[23, 9, 67], Operations: ['21+46=67'] Exploring Operation: 23+9=32, Resulting Numbers: [67, 32] Generated Node #3: [67, 32] from Operation: 23+9=32 Current State: 99:[67, 32], Operations: ['21+46=67', '23+9=32'] Exploring Operation: 67+32=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 99, 9, 90, 34 ]
52
[ "99+9=108", "90-34=56", "108-56=52" ]
Current State: 52:[99, 9, 90, 34], Operations: [] Exploring Operation: 99+9=108, Resulting Numbers: [90, 34, 108] Generated Node #2: [90, 34, 108] from Operation: 99+9=108 Current State: 52:[90, 34, 108], Operations: ['99+9=108'] Exploring Operation: 90-34=56, Resulting Numbers: [108, 56] Generated Node #3: [108, 56] from Operation: 90-34=56 Current State: 52:[108, 56], Operations: ['99+9=108', '90-34=56'] Exploring Operation: 108-56=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 28, 29, 18, 6 ]
19
[ "28+29=57", "18/6=3", "57/3=19" ]
Current State: 19:[28, 29, 18, 6], Operations: [] Exploring Operation: 28+29=57, Resulting Numbers: [18, 6, 57] Generated Node #2: [18, 6, 57] from Operation: 28+29=57 Current State: 19:[18, 6, 57], Operations: ['28+29=57'] Exploring Operation: 18/6=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 18/6=3 Current State: 19:[57, 3], Operations: ['28+29=57', '18/6=3'] Exploring Operation: 57/3=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 16, 2, 54, 16 ]
52
[ "16+2=18", "54+16=70", "70-18=52" ]
Current State: 52:[16, 2, 54, 16], Operations: [] Exploring Operation: 16+2=18, Resulting Numbers: [54, 18] Generated Node #2: [54, 18] from Operation: 16+2=18 Current State: 52:[54, 18], Operations: ['16+2=18'] Exploring Operation: 54+16=70, Resulting Numbers: [18, 70] Generated Node #3: [18, 70] from Operation: 54+16=70 Current State: 52:[18, 70], Operations: ['16+2=18', '54+16=70'] Exploring Operation: 70-18=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 9, 68, 61, 39 ]
41
[ "68-9=59", "61+39=100", "100-59=41" ]
Current State: 41:[9, 68, 61, 39], Operations: [] Exploring Operation: 68-9=59, Resulting Numbers: [61, 39, 59] Generated Node #2: [61, 39, 59] from Operation: 68-9=59 Current State: 41:[61, 39, 59], Operations: ['68-9=59'] Exploring Operation: 61+39=100, Resulting Numbers: [59, 100] Generated Node #3: [59, 100] from Operation: 61+39=100 Current State: 41:[59, 100], Operations: ['68-9=59', '61+39=100'] Exploring Operation: 100-59=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 3, 62, 14, 40 ]
72
[ "3*40=120", "62-14=48", "120-48=72" ]
Current State: 72:[3, 62, 14, 40], Operations: [] Exploring Operation: 3*40=120, Resulting Numbers: [62, 14, 120] Generated Node #2: [62, 14, 120] from Operation: 3*40=120 Current State: 72:[62, 14, 120], Operations: ['3*40=120'] Exploring Operation: 62-14=48, Resulting Numbers: [120, 48] Generated Node #3: [120, 48] from Operation: 62-14=48 Current State: 72:[120, 48], Operations: ['3*40=120', '62-14=48'] Exploring Operation: 120-48=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 93, 11, 10, 3 ]
24
[ "93-11=82", "82-10=72", "72/3=24" ]
Current State: 24:[93, 11, 10, 3], Operations: [] Exploring Operation: 93-11=82, Resulting Numbers: [10, 3, 82] Generated Node #2: [10, 3, 82] from Operation: 93-11=82 Current State: 24:[10, 3, 82], Operations: ['93-11=82'] Exploring Operation: 82-10=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 82-10=72 Current State: 24:[3, 72], Operations: ['93-11=82', '82-10=72'] Exploring Operation: 72/3=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 97, 57, 23, 22 ]
85
[ "97-57=40", "23+22=45", "40+45=85" ]
Current State: 85:[97, 57, 23, 22], Operations: [] Exploring Operation: 97-57=40, Resulting Numbers: [23, 22, 40] Generated Node #2: [23, 22, 40] from Operation: 97-57=40 Current State: 85:[23, 22, 40], Operations: ['97-57=40'] Exploring Operation: 23+22=45, Resulting Numbers: [40, 45] Generated Node #3: [40, 45] from Operation: 23+22=45 Current State: 85:[40, 45], Operations: ['97-57=40', '23+22=45'] Exploring Operation: 40+45=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 44, 83, 59, 88 ]
22
[ "88/44=2", "83-59=24", "24-2=22" ]
Current State: 22:[44, 83, 59, 88], Operations: [] Exploring Operation: 88/44=2, Resulting Numbers: [83, 59, 2] Generated Node #2: [83, 59, 2] from Operation: 88/44=2 Current State: 22:[83, 59, 2], Operations: ['88/44=2'] Exploring Operation: 83-59=24, Resulting Numbers: [2, 24] Generated Node #3: [2, 24] from Operation: 83-59=24 Current State: 22:[2, 24], Operations: ['88/44=2', '83-59=24'] Exploring Operation: 24-2=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
[ 42, 12, 31, 35 ]
39
[ "35-31=4", "12/4=3", "42-3=39" ]
Current State: 39:[42, 12, 31, 35], Operations: [] Exploring Operation: 35-31=4, Resulting Numbers: [42, 12, 4] Generated Node #2: [42, 12, 4] from Operation: 35-31=4 Current State: 39:[42, 12, 4], Operations: ['35-31=4'] Exploring Operation: 12/4=3, Resulting Numbers: [42, 3] Generated Node #3: [42, 3] from Operation: 12/4=3 Current State: 39:[42, 3], Operations: ['35-31=4', '12/4=3'] Exploring Operation: 42-3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 48, 61, 3, 8 ]
39
[ "48+61=109", "8+109=117", "117/3=39" ]
Current State: 39:[48, 61, 3, 8], Operations: [] Exploring Operation: 48+61=109, Resulting Numbers: [3, 8, 109] Generated Node #2: [3, 8, 109] from Operation: 48+61=109 Current State: 39:[3, 8, 109], Operations: ['48+61=109'] Exploring Operation: 8+109=117, Resulting Numbers: [3, 117] Generated Node #3: [3, 117] from Operation: 8+109=117 Current State: 39:[3, 117], Operations: ['48+61=109', '8+109=117'] Exploring Operation: 117/3=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 10, 30, 6, 49 ]
41
[ "10*6=60", "49-30=19", "60-19=41" ]
Current State: 41:[10, 30, 6, 49], Operations: [] Exploring Operation: 10*6=60, Resulting Numbers: [30, 49, 60] Generated Node #2: [30, 49, 60] from Operation: 10*6=60 Current State: 41:[30, 49, 60], Operations: ['10*6=60'] Exploring Operation: 49-30=19, Resulting Numbers: [60, 19] Generated Node #3: [60, 19] from Operation: 49-30=19 Current State: 41:[60, 19], Operations: ['10*6=60', '49-30=19'] Exploring Operation: 60-19=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 2, 16, 95, 11 ]
58
[ "95-11=84", "84/2=42", "16+42=58" ]
Current State: 58:[2, 16, 95, 11], Operations: [] Exploring Operation: 95-11=84, Resulting Numbers: [2, 16, 84] Generated Node #2: [2, 16, 84] from Operation: 95-11=84 Current State: 58:[2, 16, 84], Operations: ['95-11=84'] Exploring Operation: 84/2=42, Resulting Numbers: [16, 42] Generated Node #3: [16, 42] from Operation: 84/2=42 Current State: 58:[16, 42], Operations: ['95-11=84', '84/2=42'] Exploring Operation: 16+42=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
[ 7, 13, 93, 2 ]
56
[ "93-7=86", "86/2=43", "13+43=56" ]
Current State: 56:[7, 13, 93, 2], Operations: [] Exploring Operation: 93-7=86, Resulting Numbers: [13, 2, 86] Generated Node #2: [13, 2, 86] from Operation: 93-7=86 Current State: 56:[13, 2, 86], Operations: ['93-7=86'] Exploring Operation: 86/2=43, Resulting Numbers: [13, 43] Generated Node #3: [13, 43] from Operation: 86/2=43 Current State: 56:[13, 43], Operations: ['93-7=86', '86/2=43'] Exploring Operation: 13+43=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 72, 33, 39, 36 ]
11
[ "72-39=33", "36-33=3", "33/3=11" ]
Current State: 11:[72, 33, 39, 36], Operations: [] Exploring Operation: 72-39=33, Resulting Numbers: [33, 36, 33] Generated Node #2: [33, 36, 33] from Operation: 72-39=33 Current State: 11:[33, 36, 33], Operations: ['72-39=33'] Exploring Operation: 36-33=3, Resulting Numbers: [3] 3,11 equal: Goal Reached Exploring Operation: 33/3=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 85, 24, 20, 56 ]
97
[ "85-24=61", "56-20=36", "61+36=97" ]
Current State: 97:[85, 24, 20, 56], Operations: [] Exploring Operation: 85-24=61, Resulting Numbers: [20, 56, 61] Generated Node #2: [20, 56, 61] from Operation: 85-24=61 Current State: 97:[20, 56, 61], Operations: ['85-24=61'] Exploring Operation: 56-20=36, Resulting Numbers: [61, 36] Generated Node #3: [61, 36] from Operation: 56-20=36 Current State: 97:[61, 36], Operations: ['85-24=61', '56-20=36'] Exploring Operation: 61+36=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 48, 51, 84, 27 ]
37
[ "51-48=3", "84+27=111", "111/3=37" ]
Current State: 37:[48, 51, 84, 27], Operations: [] Exploring Operation: 51-48=3, Resulting Numbers: [84, 27, 3] Generated Node #2: [84, 27, 3] from Operation: 51-48=3 Current State: 37:[84, 27, 3], Operations: ['51-48=3'] Exploring Operation: 84+27=111, Resulting Numbers: [3, 111] Generated Node #3: [3, 111] from Operation: 84+27=111 Current State: 37:[3, 111], Operations: ['51-48=3', '84+27=111'] Exploring Operation: 111/3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 50, 38, 36, 88 ]
19
[ "50+36=86", "88-86=2", "38/2=19" ]
Current State: 19:[50, 38, 36, 88], Operations: [] Exploring Operation: 50+36=86, Resulting Numbers: [38, 88, 86] Generated Node #2: [38, 88, 86] from Operation: 50+36=86 Current State: 19:[38, 88, 86], Operations: ['50+36=86'] Exploring Operation: 88-86=2, Resulting Numbers: [38, 2] Generated Node #3: [38, 2] from Operation: 88-86=2 Current State: 19:[38, 2], Operations: ['50+36=86', '88-86=2'] Exploring Operation: 38/2=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 45, 69, 38, 60 ]
63
[ "45+69=114", "114/38=3", "60+3=63" ]
Current State: 63:[45, 69, 38, 60], Operations: [] Exploring Operation: 45+69=114, Resulting Numbers: [38, 60, 114] Generated Node #2: [38, 60, 114] from Operation: 45+69=114 Current State: 63:[38, 60, 114], Operations: ['45+69=114'] Exploring Operation: 114/38=3, Resulting Numbers: [60, 3] Generated Node #3: [60, 3] from Operation: 114/38=3 Current State: 63:[60, 3], Operations: ['45+69=114', '114/38=3'] Exploring Operation: 60+3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 89, 86, 93, 4 ]
94
[ "89-86=3", "93+4=97", "97-3=94" ]
Current State: 94:[89, 86, 93, 4], Operations: [] Exploring Operation: 89-86=3, Resulting Numbers: [93, 4, 3] Generated Node #2: [93, 4, 3] from Operation: 89-86=3 Current State: 94:[93, 4, 3], Operations: ['89-86=3'] Exploring Operation: 93+4=97, Resulting Numbers: [3, 97] Generated Node #3: [3, 97] from Operation: 93+4=97 Current State: 94:[3, 97], Operations: ['89-86=3', '93+4=97'] Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 3, 12, 2, 27 ]
81
[ "12/2=6", "6-3=3", "27*3=81" ]
Current State: 81:[3, 12, 2, 27], Operations: [] Exploring Operation: 12/2=6, Resulting Numbers: [3, 27, 6] Generated Node #2: [3, 27, 6] from Operation: 12/2=6 Current State: 81:[3, 27, 6], Operations: ['12/2=6'] Exploring Operation: 6-3=3, Resulting Numbers: [27, 3] Generated Node #3: [27, 3] from Operation: 6-3=3 Current State: 81:[27, 3], Operations: ['12/2=6', '6-3=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 41, 23, 6, 4 ]
40
[ "41+23=64", "6*4=24", "64-24=40" ]
Current State: 40:[41, 23, 6, 4], Operations: [] Exploring Operation: 41+23=64, Resulting Numbers: [6, 4, 64] Generated Node #2: [6, 4, 64] from Operation: 41+23=64 Current State: 40:[6, 4, 64], Operations: ['41+23=64'] Exploring Operation: 6*4=24, Resulting Numbers: [64, 24] Generated Node #3: [64, 24] from Operation: 6*4=24 Current State: 40:[64, 24], Operations: ['41+23=64', '6*4=24'] Exploring Operation: 64-24=40, Resulting Numbers: [40] 40,40 equal: Goal Reached
4
[ 92, 7, 77, 22 ]
67
[ "92-22=70", "70/7=10", "77-10=67" ]
Current State: 67:[92, 7, 77, 22], Operations: [] Exploring Operation: 92-22=70, Resulting Numbers: [7, 77, 70] Generated Node #2: [7, 77, 70] from Operation: 92-22=70 Current State: 67:[7, 77, 70], Operations: ['92-22=70'] Exploring Operation: 70/7=10, Resulting Numbers: [77, 10] Generated Node #3: [77, 10] from Operation: 70/7=10 Current State: 67:[77, 10], Operations: ['92-22=70', '70/7=10'] Exploring Operation: 77-10=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 30, 61, 54, 46 ]
52
[ "61-46=15", "30/15=2", "54-2=52" ]
Current State: 52:[30, 61, 54, 46], Operations: [] Exploring Operation: 61-46=15, Resulting Numbers: [30, 54, 15] Generated Node #2: [30, 54, 15] from Operation: 61-46=15 Current State: 52:[30, 54, 15], Operations: ['61-46=15'] Exploring Operation: 30/15=2, Resulting Numbers: [54, 2] Generated Node #3: [54, 2] from Operation: 30/15=2 Current State: 52:[54, 2], Operations: ['61-46=15', '30/15=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 22, 13, 39, 24 ]
11
[ "39-13=26", "26-24=2", "22/2=11" ]
Current State: 11:[22, 13, 39, 24], Operations: [] Exploring Operation: 39-13=26, Resulting Numbers: [22, 24, 26] Generated Node #2: [22, 24, 26] from Operation: 39-13=26 Current State: 11:[22, 24, 26], Operations: ['39-13=26'] Exploring Operation: 26-24=2, Resulting Numbers: [22, 2] Generated Node #3: [22, 2] from Operation: 26-24=2 Current State: 11:[22, 2], Operations: ['39-13=26', '26-24=2'] Exploring Operation: 22/2=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 82, 5, 55, 13 ]
74
[ "82+13=95", "95/5=19", "55+19=74" ]
Current State: 74:[82, 5, 55, 13], Operations: [] Exploring Operation: 82+13=95, Resulting Numbers: [5, 55, 95] Generated Node #2: [5, 55, 95] from Operation: 82+13=95 Current State: 74:[5, 55, 95], Operations: ['82+13=95'] Exploring Operation: 95/5=19, Resulting Numbers: [55, 19] Generated Node #3: [55, 19] from Operation: 95/5=19 Current State: 74:[55, 19], Operations: ['82+13=95', '95/5=19'] Exploring Operation: 55+19=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 2, 85, 16, 86 ]
17
[ "2+85=87", "86-16=70", "87-70=17" ]
Current State: 17:[2, 85, 16, 86], Operations: [] Exploring Operation: 2+85=87, Resulting Numbers: [16, 86, 87] Generated Node #2: [16, 86, 87] from Operation: 2+85=87 Current State: 17:[16, 86, 87], Operations: ['2+85=87'] Exploring Operation: 86-16=70, Resulting Numbers: [87, 70] Generated Node #3: [87, 70] from Operation: 86-16=70 Current State: 17:[87, 70], Operations: ['2+85=87', '86-16=70'] Exploring Operation: 87-70=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
[ 89, 67, 84, 4 ]
87
[ "89-84=5", "4*5=20", "67+20=87" ]
Current State: 87:[89, 67, 84, 4], Operations: [] Exploring Operation: 89-84=5, Resulting Numbers: [67, 4, 5] Generated Node #2: [67, 4, 5] from Operation: 89-84=5 Current State: 87:[67, 4, 5], Operations: ['89-84=5'] Exploring Operation: 4*5=20, Resulting Numbers: [67, 20] Generated Node #3: [67, 20] from Operation: 4*5=20 Current State: 87:[67, 20], Operations: ['89-84=5', '4*5=20'] Exploring Operation: 67+20=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 33, 87, 31, 67 ]
47
[ "33-31=2", "67*2=134", "134-87=47" ]
Current State: 47:[33, 87, 31, 67], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [87, 67, 2] Generated Node #2: [87, 67, 2] from Operation: 33-31=2 Current State: 47:[87, 67, 2], Operations: ['33-31=2'] Exploring Operation: 67*2=134, Resulting Numbers: [87, 134] Generated Node #3: [87, 134] from Operation: 67*2=134 Current State: 47:[87, 134], Operations: ['33-31=2', '67*2=134'] Exploring Operation: 134-87=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 16, 2, 35, 78 ]
75
[ "16*2=32", "78-35=43", "32+43=75" ]
Current State: 75:[16, 2, 35, 78], Operations: [] Exploring Operation: 16*2=32, Resulting Numbers: [35, 78, 32] Generated Node #2: [35, 78, 32] from Operation: 16*2=32 Current State: 75:[35, 78, 32], Operations: ['16*2=32'] Exploring Operation: 78-35=43, Resulting Numbers: [32, 43] Generated Node #3: [32, 43] from Operation: 78-35=43 Current State: 75:[32, 43], Operations: ['16*2=32', '78-35=43'] Exploring Operation: 32+43=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 42, 68, 89, 72 ]
70
[ "89-68=21", "42/21=2", "72-2=70" ]
Current State: 70:[42, 68, 89, 72], Operations: [] Exploring Operation: 89-68=21, Resulting Numbers: [42, 72, 21] Generated Node #2: [42, 72, 21] from Operation: 89-68=21 Current State: 70:[42, 72, 21], Operations: ['89-68=21'] Exploring Operation: 42/21=2, Resulting Numbers: [72, 2] Generated Node #3: [72, 2] from Operation: 42/21=2 Current State: 70:[72, 2], Operations: ['89-68=21', '42/21=2'] Exploring Operation: 72-2=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 57, 75, 48, 9 ]
50
[ "75-57=18", "18/9=2", "48+2=50" ]
Current State: 50:[57, 75, 48, 9], Operations: [] Exploring Operation: 75-57=18, Resulting Numbers: [48, 9, 18] Generated Node #2: [48, 9, 18] from Operation: 75-57=18 Current State: 50:[48, 9, 18], Operations: ['75-57=18'] Exploring Operation: 18/9=2, Resulting Numbers: [48, 2] Generated Node #3: [48, 2] from Operation: 18/9=2 Current State: 50:[48, 2], Operations: ['75-57=18', '18/9=2'] Exploring Operation: 48+2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 26, 14, 80, 59 ]
61
[ "26+14=40", "80-59=21", "40+21=61" ]
Current State: 61:[26, 14, 80, 59], Operations: [] Exploring Operation: 26+14=40, Resulting Numbers: [80, 59, 40] Generated Node #2: [80, 59, 40] from Operation: 26+14=40 Current State: 61:[80, 59, 40], Operations: ['26+14=40'] Exploring Operation: 80-59=21, Resulting Numbers: [40, 21] Generated Node #3: [40, 21] from Operation: 80-59=21 Current State: 61:[40, 21], Operations: ['26+14=40', '80-59=21'] Exploring Operation: 40+21=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 21, 44, 75, 20 ]
78
[ "44-21=23", "75-20=55", "23+55=78" ]
Current State: 78:[21, 44, 75, 20], Operations: [] Exploring Operation: 44-21=23, Resulting Numbers: [75, 20, 23] Generated Node #2: [75, 20, 23] from Operation: 44-21=23 Current State: 78:[75, 20, 23], Operations: ['44-21=23'] Exploring Operation: 75-20=55, Resulting Numbers: [23, 55] Generated Node #3: [23, 55] from Operation: 75-20=55 Current State: 78:[23, 55], Operations: ['44-21=23', '75-20=55'] Exploring Operation: 23+55=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 48, 62, 65, 37 ]
86
[ "48*65=3120", "62+3120=3182", "3182/37=86" ]
Current State: 86:[48, 62, 65, 37], Operations: [] Exploring Operation: 48*65=3120, Resulting Numbers: [62, 37, 3120] Generated Node #2: [62, 37, 3120] from Operation: 48*65=3120 Current State: 86:[62, 37, 3120], Operations: ['48*65=3120'] Exploring Operation: 62+3120=3182, Resulting Numbers: [37, 3182] Generated Node #3: [37, 3182] from Operation: 62+3120=3182 Current State: 86:[37, 3182], Operations: ['48*65=3120', '62+3120=3182'] Exploring Operation: 3182/37=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 3, 34, 10, 98 ]
34
[ "3*10=30", "98-34=64", "64-30=34" ]
Current State: 34:[3, 34, 10, 98], Operations: [] Exploring Operation: 3*10=30, Resulting Numbers: [34, 98, 30] Generated Node #2: [34, 98, 30] from Operation: 3*10=30 Current State: 34:[34, 98, 30], Operations: ['3*10=30'] Exploring Operation: 98-34=64, Resulting Numbers: [30, 64] Generated Node #3: [30, 64] from Operation: 98-34=64 Current State: 34:[30, 64], Operations: ['3*10=30', '98-34=64'] Exploring Operation: 64-30=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 30, 39, 39, 21 ]
69
[ "39-30=9", "39+21=60", "9+60=69" ]
Current State: 69:[30, 39, 39, 21], Operations: [] Exploring Operation: 39-30=9, Resulting Numbers: [21, 9] Generated Node #2: [21, 9] from Operation: 39-30=9 Current State: 69:[21, 9], Operations: ['39-30=9'] Exploring Operation: 39+21=60, Resulting Numbers: [9, 60] Generated Node #3: [9, 60] from Operation: 39+21=60 Current State: 69:[9, 60], Operations: ['39-30=9', '39+21=60'] Exploring Operation: 9+60=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 7, 78, 3, 93 ]
50
[ "78+93=171", "171/3=57", "57-7=50" ]
Current State: 50:[7, 78, 3, 93], Operations: [] Exploring Operation: 78+93=171, Resulting Numbers: [7, 3, 171] Generated Node #2: [7, 3, 171] from Operation: 78+93=171 Current State: 50:[7, 3, 171], Operations: ['78+93=171'] Exploring Operation: 171/3=57, Resulting Numbers: [7, 57] Generated Node #3: [7, 57] from Operation: 171/3=57 Current State: 50:[7, 57], Operations: ['78+93=171', '171/3=57'] Exploring Operation: 57-7=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 79, 7, 92, 15 ]
76
[ "92-79=13", "7*13=91", "91-15=76" ]
Current State: 76:[79, 7, 92, 15], Operations: [] Exploring Operation: 92-79=13, Resulting Numbers: [7, 15, 13] Generated Node #2: [7, 15, 13] from Operation: 92-79=13 Current State: 76:[7, 15, 13], Operations: ['92-79=13'] Exploring Operation: 7*13=91, Resulting Numbers: [15, 91] Generated Node #3: [15, 91] from Operation: 7*13=91 Current State: 76:[15, 91], Operations: ['92-79=13', '7*13=91'] Exploring Operation: 91-15=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 81, 83, 87, 17 ]
91
[ "83+87=170", "170/17=10", "81+10=91" ]
Current State: 91:[81, 83, 87, 17], Operations: [] Exploring Operation: 83+87=170, Resulting Numbers: [81, 17, 170] Generated Node #2: [81, 17, 170] from Operation: 83+87=170 Current State: 91:[81, 17, 170], Operations: ['83+87=170'] Exploring Operation: 170/17=10, Resulting Numbers: [81, 10] Generated Node #3: [81, 10] from Operation: 170/17=10 Current State: 91:[81, 10], Operations: ['83+87=170', '170/17=10'] Exploring Operation: 81+10=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 78, 60, 90, 77 ]
66
[ "90-77=13", "78/13=6", "60+6=66" ]
Current State: 66:[78, 60, 90, 77], Operations: [] Exploring Operation: 90-77=13, Resulting Numbers: [78, 60, 13] Generated Node #2: [78, 60, 13] from Operation: 90-77=13 Current State: 66:[78, 60, 13], Operations: ['90-77=13'] Exploring Operation: 78/13=6, Resulting Numbers: [60, 6] Generated Node #3: [60, 6] from Operation: 78/13=6 Current State: 66:[60, 6], Operations: ['90-77=13', '78/13=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 32, 7, 3, 76 ]
41
[ "32+7=39", "3*39=117", "117-76=41" ]
Current State: 41:[32, 7, 3, 76], Operations: [] Exploring Operation: 32+7=39, Resulting Numbers: [3, 76, 39] Generated Node #2: [3, 76, 39] from Operation: 32+7=39 Current State: 41:[3, 76, 39], Operations: ['32+7=39'] Exploring Operation: 3*39=117, Resulting Numbers: [76, 117] Generated Node #3: [76, 117] from Operation: 3*39=117 Current State: 41:[76, 117], Operations: ['32+7=39', '3*39=117'] Exploring Operation: 117-76=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 87, 39, 61, 13 ]
23
[ "87-61=26", "39/13=3", "26-3=23" ]
Current State: 23:[87, 39, 61, 13], Operations: [] Exploring Operation: 87-61=26, Resulting Numbers: [39, 13, 26] Generated Node #2: [39, 13, 26] from Operation: 87-61=26 Current State: 23:[39, 13, 26], Operations: ['87-61=26'] Exploring Operation: 39/13=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 39/13=3 Current State: 23:[26, 3], Operations: ['87-61=26', '39/13=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 48, 15, 59, 21 ]
51
[ "21-15=6", "48/6=8", "59-8=51" ]
Current State: 51:[48, 15, 59, 21], Operations: [] Exploring Operation: 21-15=6, Resulting Numbers: [48, 59, 6] Generated Node #2: [48, 59, 6] from Operation: 21-15=6 Current State: 51:[48, 59, 6], Operations: ['21-15=6'] Exploring Operation: 48/6=8, Resulting Numbers: [59, 8] Generated Node #3: [59, 8] from Operation: 48/6=8 Current State: 51:[59, 8], Operations: ['21-15=6', '48/6=8'] Exploring Operation: 59-8=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 53, 87, 81, 21 ]
94
[ "87-53=34", "81-21=60", "34+60=94" ]
Current State: 94:[53, 87, 81, 21], Operations: [] Exploring Operation: 87-53=34, Resulting Numbers: [81, 21, 34] Generated Node #2: [81, 21, 34] from Operation: 87-53=34 Current State: 94:[81, 21, 34], Operations: ['87-53=34'] Exploring Operation: 81-21=60, Resulting Numbers: [34, 60] Generated Node #3: [34, 60] from Operation: 81-21=60 Current State: 94:[34, 60], Operations: ['87-53=34', '81-21=60'] Exploring Operation: 34+60=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4