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
[ 30, 49, 98, 55 ]
50
[ "55-30=25", "98/49=2", "25*2=50" ]
Current State: 50:[30, 49, 98, 55], Operations: [] Exploring Operation: 55-30=25, Resulting Numbers: [49, 98, 25] Generated Node #2: [49, 98, 25] from Operation: 55-30=25 Current State: 50:[49, 98, 25], Operations: ['55-30=25'] Exploring Operation: 98/49=2, Resulting Numbers: [25, 2] Generated Node #3: [25, 2] from Operation: 98/49=2 Current State: 50:[25, 2], Operations: ['55-30=25', '98/49=2'] Exploring Operation: 25*2=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 7, 26, 3, 96 ]
43
[ "7+26=33", "96+33=129", "129/3=43" ]
Current State: 43:[7, 26, 3, 96], Operations: [] Exploring Operation: 7+26=33, Resulting Numbers: [3, 96, 33] Generated Node #2: [3, 96, 33] from Operation: 7+26=33 Current State: 43:[3, 96, 33], Operations: ['7+26=33'] Exploring Operation: 96+33=129, Resulting Numbers: [3, 129] Generated Node #3: [3, 129] from Operation: 96+33=129 Current State: 43:[3, 129], Operations: ['7+26=33', '96+33=129'] Exploring Operation: 129/3=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 48, 43, 28, 84 ]
15
[ "48-43=5", "84/28=3", "5*3=15" ]
Current State: 15:[48, 43, 28, 84], Operations: [] Exploring Operation: 48-43=5, Resulting Numbers: [28, 84, 5] Generated Node #2: [28, 84, 5] from Operation: 48-43=5 Current State: 15:[28, 84, 5], Operations: ['48-43=5'] Exploring Operation: 84/28=3, Resulting Numbers: [5, 3] Generated Node #3: [5, 3] from Operation: 84/28=3 Current State: 15:[5, 3], Operations: ['48-43=5', '84/28=3'] Exploring Operation: 5*3=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 36, 56, 52, 75 ]
84
[ "56-52=4", "36/4=9", "75+9=84" ]
Current State: 84:[36, 56, 52, 75], Operations: [] Exploring Operation: 56-52=4, Resulting Numbers: [36, 75, 4] Generated Node #2: [36, 75, 4] from Operation: 56-52=4 Current State: 84:[36, 75, 4], Operations: ['56-52=4'] Exploring Operation: 36/4=9, Resulting Numbers: [75, 9] Generated Node #3: [75, 9] from Operation: 36/4=9 Current State: 84:[75, 9], Operations: ['56-52=4', '36/4=9'] Exploring Operation: 75+9=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 96, 95, 82, 16 ]
99
[ "96-95=1", "82+16=98", "1+98=99" ]
Current State: 99:[96, 95, 82, 16], Operations: [] Exploring Operation: 96-95=1, Resulting Numbers: [82, 16, 1] Generated Node #2: [82, 16, 1] from Operation: 96-95=1 Current State: 99:[82, 16, 1], Operations: ['96-95=1'] Exploring Operation: 82+16=98, Resulting Numbers: [1, 98] Generated Node #3: [1, 98] from Operation: 82+16=98 Current State: 99:[1, 98], Operations: ['96-95=1', '82+16=98'] Exploring Operation: 1+98=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 61, 9, 68, 85 ]
53
[ "61+9=70", "85-68=17", "70-17=53" ]
Current State: 53:[61, 9, 68, 85], Operations: [] Exploring Operation: 61+9=70, Resulting Numbers: [68, 85, 70] Generated Node #2: [68, 85, 70] from Operation: 61+9=70 Current State: 53:[68, 85, 70], Operations: ['61+9=70'] Exploring Operation: 85-68=17, Resulting Numbers: [70, 17] Generated Node #3: [70, 17] from Operation: 85-68=17 Current State: 53:[70, 17], Operations: ['61+9=70', '85-68=17'] Exploring Operation: 70-17=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 31, 19, 24, 48 ]
28
[ "31-19=12", "48/12=4", "24+4=28" ]
Current State: 28:[31, 19, 24, 48], Operations: [] Exploring Operation: 31-19=12, Resulting Numbers: [24, 48, 12] Generated Node #2: [24, 48, 12] from Operation: 31-19=12 Current State: 28:[24, 48, 12], Operations: ['31-19=12'] Exploring Operation: 48/12=4, Resulting Numbers: [24, 4] Generated Node #3: [24, 4] from Operation: 48/12=4 Current State: 28:[24, 4], Operations: ['31-19=12', '48/12=4'] Exploring Operation: 24+4=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 59, 12, 11, 55 ]
42
[ "59-12=47", "55/11=5", "47-5=42" ]
Current State: 42:[59, 12, 11, 55], Operations: [] Exploring Operation: 59-12=47, Resulting Numbers: [11, 55, 47] Generated Node #2: [11, 55, 47] from Operation: 59-12=47 Current State: 42:[11, 55, 47], Operations: ['59-12=47'] Exploring Operation: 55/11=5, Resulting Numbers: [47, 5] Generated Node #3: [47, 5] from Operation: 55/11=5 Current State: 42:[47, 5], Operations: ['59-12=47', '55/11=5'] Exploring Operation: 47-5=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 68, 57, 66, 47 ]
67
[ "68-66=2", "57*2=114", "114-47=67" ]
Current State: 67:[68, 57, 66, 47], Operations: [] Exploring Operation: 68-66=2, Resulting Numbers: [57, 47, 2] Generated Node #2: [57, 47, 2] from Operation: 68-66=2 Current State: 67:[57, 47, 2], Operations: ['68-66=2'] Exploring Operation: 57*2=114, Resulting Numbers: [47, 114] Generated Node #3: [47, 114] from Operation: 57*2=114 Current State: 67:[47, 114], Operations: ['68-66=2', '57*2=114'] Exploring Operation: 114-47=67, Resulting Numbers: [67] 67,67 equal: Goal Reached
4
[ 46, 92, 44, 14 ]
13
[ "46+92=138", "44+138=182", "182/14=13" ]
Current State: 13:[46, 92, 44, 14], Operations: [] Exploring Operation: 46+92=138, Resulting Numbers: [44, 14, 138] Generated Node #2: [44, 14, 138] from Operation: 46+92=138 Current State: 13:[44, 14, 138], Operations: ['46+92=138'] Exploring Operation: 44+138=182, Resulting Numbers: [14, 182] Generated Node #3: [14, 182] from Operation: 44+138=182 Current State: 13:[14, 182], Operations: ['46+92=138', '44+138=182'] Exploring Operation: 182/14=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 20, 26, 4, 72 ]
51
[ "20/4=5", "72-26=46", "5+46=51" ]
Current State: 51:[20, 26, 4, 72], Operations: [] Exploring Operation: 20/4=5, Resulting Numbers: [26, 72, 5] Generated Node #2: [26, 72, 5] from Operation: 20/4=5 Current State: 51:[26, 72, 5], Operations: ['20/4=5'] Exploring Operation: 72-26=46, Resulting Numbers: [5, 46] Generated Node #3: [5, 46] from Operation: 72-26=46 Current State: 51:[5, 46], Operations: ['20/4=5', '72-26=46'] Exploring Operation: 5+46=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 44, 34, 50, 33 ]
95
[ "44+34=78", "50-33=17", "78+17=95" ]
Current State: 95:[44, 34, 50, 33], Operations: [] Exploring Operation: 44+34=78, Resulting Numbers: [50, 33, 78] Generated Node #2: [50, 33, 78] from Operation: 44+34=78 Current State: 95:[50, 33, 78], Operations: ['44+34=78'] Exploring Operation: 50-33=17, Resulting Numbers: [78, 17] Generated Node #3: [78, 17] from Operation: 50-33=17 Current State: 95:[78, 17], Operations: ['44+34=78', '50-33=17'] Exploring Operation: 78+17=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 39, 39, 36, 34 ]
15
[ "39+36=75", "39-34=5", "75/5=15" ]
Current State: 15:[39, 39, 36, 34], Operations: [] Exploring Operation: 39+36=75, Resulting Numbers: [34, 75] Generated Node #2: [34, 75] from Operation: 39+36=75 Current State: 15:[34, 75], Operations: ['39+36=75'] Exploring Operation: 39-34=5, Resulting Numbers: [75, 5] Generated Node #3: [75, 5] from Operation: 39-34=5 Current State: 15:[75, 5], Operations: ['39+36=75', '39-34=5'] Exploring Operation: 75/5=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 31, 37, 77, 23 ]
94
[ "37-31=6", "77+23=100", "100-6=94" ]
Current State: 94:[31, 37, 77, 23], Operations: [] Exploring Operation: 37-31=6, Resulting Numbers: [77, 23, 6] Generated Node #2: [77, 23, 6] from Operation: 37-31=6 Current State: 94:[77, 23, 6], Operations: ['37-31=6'] Exploring Operation: 77+23=100, Resulting Numbers: [6, 100] Generated Node #3: [6, 100] from Operation: 77+23=100 Current State: 94:[6, 100], Operations: ['37-31=6', '77+23=100'] Exploring Operation: 100-6=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 30, 2, 63, 50 ]
19
[ "30+2=32", "63-50=13", "32-13=19" ]
Current State: 19:[30, 2, 63, 50], Operations: [] Exploring Operation: 30+2=32, Resulting Numbers: [63, 50, 32] Generated Node #2: [63, 50, 32] from Operation: 30+2=32 Current State: 19:[63, 50, 32], Operations: ['30+2=32'] Exploring Operation: 63-50=13, Resulting Numbers: [32, 13] Generated Node #3: [32, 13] from Operation: 63-50=13 Current State: 19:[32, 13], Operations: ['30+2=32', '63-50=13'] Exploring Operation: 32-13=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 47, 10, 3, 18 ]
59
[ "47-18=29", "10*3=30", "29+30=59" ]
Current State: 59:[47, 10, 3, 18], Operations: [] Exploring Operation: 47-18=29, Resulting Numbers: [10, 3, 29] Generated Node #2: [10, 3, 29] from Operation: 47-18=29 Current State: 59:[10, 3, 29], Operations: ['47-18=29'] Exploring Operation: 10*3=30, Resulting Numbers: [29, 30] Generated Node #3: [29, 30] from Operation: 10*3=30 Current State: 59:[29, 30], Operations: ['47-18=29', '10*3=30'] Exploring Operation: 29+30=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 39, 79, 88, 91 ]
37
[ "79-39=40", "91-88=3", "40-3=37" ]
Current State: 37:[39, 79, 88, 91], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [88, 91, 40] Generated Node #2: [88, 91, 40] from Operation: 79-39=40 Current State: 37:[88, 91, 40], Operations: ['79-39=40'] Exploring Operation: 91-88=3, Resulting Numbers: [40, 3] Generated Node #3: [40, 3] from Operation: 91-88=3 Current State: 37:[40, 3], Operations: ['79-39=40', '91-88=3'] Exploring Operation: 40-3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 48, 29, 75, 32 ]
34
[ "48+29=77", "75-32=43", "77-43=34" ]
Current State: 34:[48, 29, 75, 32], Operations: [] Exploring Operation: 48+29=77, Resulting Numbers: [75, 32, 77] Generated Node #2: [75, 32, 77] from Operation: 48+29=77 Current State: 34:[75, 32, 77], Operations: ['48+29=77'] Exploring Operation: 75-32=43, Resulting Numbers: [77, 43] Generated Node #3: [77, 43] from Operation: 75-32=43 Current State: 34:[77, 43], Operations: ['48+29=77', '75-32=43'] Exploring Operation: 77-43=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 88, 25, 30, 45 ]
98
[ "88+25=113", "45-30=15", "113-15=98" ]
Current State: 98:[88, 25, 30, 45], Operations: [] Exploring Operation: 88+25=113, Resulting Numbers: [30, 45, 113] Generated Node #2: [30, 45, 113] from Operation: 88+25=113 Current State: 98:[30, 45, 113], Operations: ['88+25=113'] Exploring Operation: 45-30=15, Resulting Numbers: [113, 15] Generated Node #3: [113, 15] from Operation: 45-30=15 Current State: 98:[113, 15], Operations: ['88+25=113', '45-30=15'] Exploring Operation: 113-15=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 76, 72, 3, 65 ]
47
[ "76+72=148", "3*65=195", "195-148=47" ]
Current State: 47:[76, 72, 3, 65], Operations: [] Exploring Operation: 76+72=148, Resulting Numbers: [3, 65, 148] Generated Node #2: [3, 65, 148] from Operation: 76+72=148 Current State: 47:[3, 65, 148], Operations: ['76+72=148'] Exploring Operation: 3*65=195, Resulting Numbers: [148, 195] Generated Node #3: [148, 195] from Operation: 3*65=195 Current State: 47:[148, 195], Operations: ['76+72=148', '3*65=195'] Exploring Operation: 195-148=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 28, 56, 21, 50 ]
92
[ "56/28=2", "21*2=42", "50+42=92" ]
Current State: 92:[28, 56, 21, 50], Operations: [] Exploring Operation: 56/28=2, Resulting Numbers: [21, 50, 2] Generated Node #2: [21, 50, 2] from Operation: 56/28=2 Current State: 92:[21, 50, 2], Operations: ['56/28=2'] Exploring Operation: 21*2=42, Resulting Numbers: [50, 42] Generated Node #3: [50, 42] from Operation: 21*2=42 Current State: 92:[50, 42], Operations: ['56/28=2', '21*2=42'] Exploring Operation: 50+42=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 26, 3, 6, 7 ]
21
[ "26-7=19", "6/3=2", "19+2=21" ]
Current State: 21:[26, 3, 6, 7], Operations: [] Exploring Operation: 26-7=19, Resulting Numbers: [3, 6, 19] Generated Node #2: [3, 6, 19] from Operation: 26-7=19 Current State: 21:[3, 6, 19], Operations: ['26-7=19'] Exploring Operation: 6/3=2, Resulting Numbers: [19, 2] Generated Node #3: [19, 2] from Operation: 6/3=2 Current State: 21:[19, 2], Operations: ['26-7=19', '6/3=2'] Exploring Operation: 19+2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 71, 88, 23, 2 ]
10
[ "71*2=142", "88+142=230", "230/23=10" ]
Current State: 10:[71, 88, 23, 2], Operations: [] Exploring Operation: 71*2=142, Resulting Numbers: [88, 23, 142] Generated Node #2: [88, 23, 142] from Operation: 71*2=142 Current State: 10:[88, 23, 142], Operations: ['71*2=142'] Exploring Operation: 88+142=230, Resulting Numbers: [23, 230] Generated Node #3: [23, 230] from Operation: 88+142=230 Current State: 10:[23, 230], Operations: ['71*2=142', '88+142=230'] Exploring Operation: 230/23=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
[ 18, 50, 5, 13 ]
76
[ "18+50=68", "13-5=8", "68+8=76" ]
Current State: 76:[18, 50, 5, 13], Operations: [] Exploring Operation: 18+50=68, Resulting Numbers: [5, 13, 68] Generated Node #2: [5, 13, 68] from Operation: 18+50=68 Current State: 76:[5, 13, 68], Operations: ['18+50=68'] Exploring Operation: 13-5=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 13-5=8 Current State: 76:[68, 8], Operations: ['18+50=68', '13-5=8'] Exploring Operation: 68+8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 24, 21, 51, 40 ]
46
[ "24+21=45", "51+40=91", "91-45=46" ]
Current State: 46:[24, 21, 51, 40], Operations: [] Exploring Operation: 24+21=45, Resulting Numbers: [51, 40, 45] Generated Node #2: [51, 40, 45] from Operation: 24+21=45 Current State: 46:[51, 40, 45], Operations: ['24+21=45'] Exploring Operation: 51+40=91, Resulting Numbers: [45, 91] Generated Node #3: [45, 91] from Operation: 51+40=91 Current State: 46:[45, 91], Operations: ['24+21=45', '51+40=91'] Exploring Operation: 91-45=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 2, 37, 2, 55 ]
36
[ "2*37=74", "2*55=110", "110-74=36" ]
Current State: 36:[2, 37, 2, 55], Operations: [] Exploring Operation: 2*37=74, Resulting Numbers: [55, 74] Generated Node #2: [55, 74] from Operation: 2*37=74 Current State: 36:[55, 74], Operations: ['2*37=74'] Exploring Operation: 2*55=110, Resulting Numbers: [74, 110] Generated Node #3: [74, 110] from Operation: 2*55=110 Current State: 36:[74, 110], Operations: ['2*37=74', '2*55=110'] Exploring Operation: 110-74=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
[ 46, 5, 55, 20 ]
61
[ "55+20=75", "75/5=15", "46+15=61" ]
Current State: 61:[46, 5, 55, 20], Operations: [] Exploring Operation: 55+20=75, Resulting Numbers: [46, 5, 75] Generated Node #2: [46, 5, 75] from Operation: 55+20=75 Current State: 61:[46, 5, 75], Operations: ['55+20=75'] Exploring Operation: 75/5=15, Resulting Numbers: [46, 15] Generated Node #3: [46, 15] from Operation: 75/5=15 Current State: 61:[46, 15], Operations: ['55+20=75', '75/5=15'] Exploring Operation: 46+15=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
[ 92, 84, 93, 7 ]
92
[ "92-84=8", "93+7=100", "100-8=92" ]
Current State: 92:[92, 84, 93, 7], Operations: [] Exploring Operation: 92-84=8, Resulting Numbers: [93, 7, 8] Generated Node #2: [93, 7, 8] from Operation: 92-84=8 Current State: 92:[93, 7, 8], Operations: ['92-84=8'] Exploring Operation: 93+7=100, Resulting Numbers: [8, 100] Generated Node #3: [8, 100] from Operation: 93+7=100 Current State: 92:[8, 100], Operations: ['92-84=8', '93+7=100'] Exploring Operation: 100-8=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 9, 86, 34, 13 ]
15
[ "9+34=43", "86/43=2", "13+2=15" ]
Current State: 15:[9, 86, 34, 13], Operations: [] Exploring Operation: 9+34=43, Resulting Numbers: [86, 13, 43] Generated Node #2: [86, 13, 43] from Operation: 9+34=43 Current State: 15:[86, 13, 43], Operations: ['9+34=43'] Exploring Operation: 86/43=2, Resulting Numbers: [13, 2] Generated Node #3: [13, 2] from Operation: 86/43=2 Current State: 15:[13, 2], Operations: ['9+34=43', '86/43=2'] Exploring Operation: 13+2=15, Resulting Numbers: [15] 15,15 equal: Goal Reached
4
[ 6, 10, 9, 74 ]
56
[ "10+74=84", "6*84=504", "504/9=56" ]
Current State: 56:[6, 10, 9, 74], Operations: [] Exploring Operation: 10+74=84, Resulting Numbers: [6, 9, 84] Generated Node #2: [6, 9, 84] from Operation: 10+74=84 Current State: 56:[6, 9, 84], Operations: ['10+74=84'] Exploring Operation: 6*84=504, Resulting Numbers: [9, 504] Generated Node #3: [9, 504] from Operation: 6*84=504 Current State: 56:[9, 504], Operations: ['10+74=84', '6*84=504'] Exploring Operation: 504/9=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
[ 62, 4, 40, 5 ]
31
[ "62+4=66", "40-5=35", "66-35=31" ]
Current State: 31:[62, 4, 40, 5], Operations: [] Exploring Operation: 62+4=66, Resulting Numbers: [40, 5, 66] Generated Node #2: [40, 5, 66] from Operation: 62+4=66 Current State: 31:[40, 5, 66], Operations: ['62+4=66'] Exploring Operation: 40-5=35, Resulting Numbers: [66, 35] Generated Node #3: [66, 35] from Operation: 40-5=35 Current State: 31:[66, 35], Operations: ['62+4=66', '40-5=35'] Exploring Operation: 66-35=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 78, 23, 39, 80 ]
96
[ "78-23=55", "80-39=41", "55+41=96" ]
Current State: 96:[78, 23, 39, 80], Operations: [] Exploring Operation: 78-23=55, Resulting Numbers: [39, 80, 55] Generated Node #2: [39, 80, 55] from Operation: 78-23=55 Current State: 96:[39, 80, 55], Operations: ['78-23=55'] Exploring Operation: 80-39=41, Resulting Numbers: [55, 41] Generated Node #3: [55, 41] from Operation: 80-39=41 Current State: 96:[55, 41], Operations: ['78-23=55', '80-39=41'] Exploring Operation: 55+41=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 21, 1, 60, 83 ]
86
[ "21-1=20", "60/20=3", "83+3=86" ]
Current State: 86:[21, 1, 60, 83], Operations: [] Exploring Operation: 21-1=20, Resulting Numbers: [60, 83, 20] Generated Node #2: [60, 83, 20] from Operation: 21-1=20 Current State: 86:[60, 83, 20], Operations: ['21-1=20'] Exploring Operation: 60/20=3, Resulting Numbers: [83, 3] Generated Node #3: [83, 3] from Operation: 60/20=3 Current State: 86:[83, 3], Operations: ['21-1=20', '60/20=3'] Exploring Operation: 83+3=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 24, 96, 57, 19 ]
19
[ "96/24=4", "57+19=76", "76/4=19" ]
Current State: 19:[24, 96, 57, 19], Operations: [] Exploring Operation: 96/24=4, Resulting Numbers: [57, 19, 4] Generated Node #2: [57, 19, 4] from Operation: 96/24=4 Current State: 19:[57, 19, 4], Operations: ['96/24=4'] Exploring Operation: 57+19=76, Resulting Numbers: [4, 76] Generated Node #3: [4, 76] from Operation: 57+19=76 Current State: 19:[4, 76], Operations: ['96/24=4', '57+19=76'] Exploring Operation: 76/4=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 25, 8, 88, 37 ]
18
[ "25+8=33", "88-37=51", "51-33=18" ]
Current State: 18:[25, 8, 88, 37], Operations: [] Exploring Operation: 25+8=33, Resulting Numbers: [88, 37, 33] Generated Node #2: [88, 37, 33] from Operation: 25+8=33 Current State: 18:[88, 37, 33], Operations: ['25+8=33'] Exploring Operation: 88-37=51, Resulting Numbers: [33, 51] Generated Node #3: [33, 51] from Operation: 88-37=51 Current State: 18:[33, 51], Operations: ['25+8=33', '88-37=51'] Exploring Operation: 51-33=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 32, 95, 80, 10 ]
48
[ "32*95=3040", "3040/80=38", "10+38=48" ]
Current State: 48:[32, 95, 80, 10], Operations: [] Exploring Operation: 32*95=3040, Resulting Numbers: [80, 10, 3040] Generated Node #2: [80, 10, 3040] from Operation: 32*95=3040 Current State: 48:[80, 10, 3040], Operations: ['32*95=3040'] Exploring Operation: 3040/80=38, Resulting Numbers: [10, 38] Generated Node #3: [10, 38] from Operation: 3040/80=38 Current State: 48:[10, 38], Operations: ['32*95=3040', '3040/80=38'] Exploring Operation: 10+38=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 89, 5, 7, 11 ]
21
[ "89-5=84", "11-7=4", "84/4=21" ]
Current State: 21:[89, 5, 7, 11], Operations: [] Exploring Operation: 89-5=84, Resulting Numbers: [7, 11, 84] Generated Node #2: [7, 11, 84] from Operation: 89-5=84 Current State: 21:[7, 11, 84], Operations: ['89-5=84'] Exploring Operation: 11-7=4, Resulting Numbers: [84, 4] Generated Node #3: [84, 4] from Operation: 11-7=4 Current State: 21:[84, 4], Operations: ['89-5=84', '11-7=4'] Exploring Operation: 84/4=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 38, 19, 25, 23 ]
19
[ "19*25=475", "475-38=437", "437/23=19" ]
Current State: 19:[38, 19, 25, 23], Operations: [] Exploring Operation: 19*25=475, Resulting Numbers: [38, 23, 475] Generated Node #2: [38, 23, 475] from Operation: 19*25=475 Current State: 19:[38, 23, 475], Operations: ['19*25=475'] Exploring Operation: 475-38=437, Resulting Numbers: [23, 437] Generated Node #3: [23, 437] from Operation: 475-38=437 Current State: 19:[23, 437], Operations: ['19*25=475', '475-38=437'] Exploring Operation: 437/23=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 75, 49, 85, 15 ]
66
[ "75/15=5", "85/5=17", "49+17=66" ]
Current State: 66:[75, 49, 85, 15], Operations: [] Exploring Operation: 75/15=5, Resulting Numbers: [49, 85, 5] Generated Node #2: [49, 85, 5] from Operation: 75/15=5 Current State: 66:[49, 85, 5], Operations: ['75/15=5'] Exploring Operation: 85/5=17, Resulting Numbers: [49, 17] Generated Node #3: [49, 17] from Operation: 85/5=17 Current State: 66:[49, 17], Operations: ['75/15=5', '85/5=17'] Exploring Operation: 49+17=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 6, 82, 72, 96 ]
64
[ "6+82=88", "96-72=24", "88-24=64" ]
Current State: 64:[6, 82, 72, 96], Operations: [] Exploring Operation: 6+82=88, Resulting Numbers: [72, 96, 88] Generated Node #2: [72, 96, 88] from Operation: 6+82=88 Current State: 64:[72, 96, 88], Operations: ['6+82=88'] Exploring Operation: 96-72=24, Resulting Numbers: [88, 24] Generated Node #3: [88, 24] from Operation: 96-72=24 Current State: 64:[88, 24], Operations: ['6+82=88', '96-72=24'] Exploring Operation: 88-24=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 10, 11, 54, 93 ]
89
[ "54-10=44", "44/11=4", "93-4=89" ]
Current State: 89:[10, 11, 54, 93], Operations: [] Exploring Operation: 54-10=44, Resulting Numbers: [11, 93, 44] Generated Node #2: [11, 93, 44] from Operation: 54-10=44 Current State: 89:[11, 93, 44], Operations: ['54-10=44'] Exploring Operation: 44/11=4, Resulting Numbers: [93, 4] Generated Node #3: [93, 4] from Operation: 44/11=4 Current State: 89:[93, 4], Operations: ['54-10=44', '44/11=4'] Exploring Operation: 93-4=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 26, 25, 31, 36 ]
94
[ "26*31=806", "25*36=900", "900-806=94" ]
Current State: 94:[26, 25, 31, 36], Operations: [] Exploring Operation: 26*31=806, Resulting Numbers: [25, 36, 806] Generated Node #2: [25, 36, 806] from Operation: 26*31=806 Current State: 94:[25, 36, 806], Operations: ['26*31=806'] Exploring Operation: 25*36=900, Resulting Numbers: [806, 900] Generated Node #3: [806, 900] from Operation: 25*36=900 Current State: 94:[806, 900], Operations: ['26*31=806', '25*36=900'] Exploring Operation: 900-806=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
[ 94, 7, 52, 80 ]
45
[ "94-7=87", "52+80=132", "132-87=45" ]
Current State: 45:[94, 7, 52, 80], Operations: [] Exploring Operation: 94-7=87, Resulting Numbers: [52, 80, 87] Generated Node #2: [52, 80, 87] from Operation: 94-7=87 Current State: 45:[52, 80, 87], Operations: ['94-7=87'] Exploring Operation: 52+80=132, Resulting Numbers: [87, 132] Generated Node #3: [87, 132] from Operation: 52+80=132 Current State: 45:[87, 132], Operations: ['94-7=87', '52+80=132'] Exploring Operation: 132-87=45, Resulting Numbers: [45] 45,45 equal: Goal Reached
4
[ 96, 25, 60, 77 ]
54
[ "96-25=71", "77-60=17", "71-17=54" ]
Current State: 54:[96, 25, 60, 77], Operations: [] Exploring Operation: 96-25=71, Resulting Numbers: [60, 77, 71] Generated Node #2: [60, 77, 71] from Operation: 96-25=71 Current State: 54:[60, 77, 71], Operations: ['96-25=71'] Exploring Operation: 77-60=17, Resulting Numbers: [71, 17] Generated Node #3: [71, 17] from Operation: 77-60=17 Current State: 54:[71, 17], Operations: ['96-25=71', '77-60=17'] Exploring Operation: 71-17=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
[ 38, 23, 77, 54 ]
81
[ "38+54=92", "92/23=4", "77+4=81" ]
Current State: 81:[38, 23, 77, 54], Operations: [] Exploring Operation: 38+54=92, Resulting Numbers: [23, 77, 92] Generated Node #2: [23, 77, 92] from Operation: 38+54=92 Current State: 81:[23, 77, 92], Operations: ['38+54=92'] Exploring Operation: 92/23=4, Resulting Numbers: [77, 4] Generated Node #3: [77, 4] from Operation: 92/23=4 Current State: 81:[77, 4], Operations: ['38+54=92', '92/23=4'] Exploring Operation: 77+4=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
[ 2, 69, 18, 51 ]
51
[ "2*51=102", "69-18=51", "102-51=51" ]
Current State: 51:[2, 69, 18, 51], Operations: [] Exploring Operation: 2*51=102, Resulting Numbers: [69, 18, 102] Generated Node #2: [69, 18, 102] from Operation: 2*51=102 Current State: 51:[69, 18, 102], Operations: ['2*51=102'] Exploring Operation: 69-18=51, Resulting Numbers: [102, 51] Generated Node #3: [102, 51] from Operation: 69-18=51 Current State: 51:[102, 51], Operations: ['2*51=102', '69-18=51'] Exploring Operation: 102-51=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
[ 90, 65, 1, 4 ]
39
[ "90+65=155", "1+155=156", "156/4=39" ]
Current State: 39:[90, 65, 1, 4], Operations: [] Exploring Operation: 90+65=155, Resulting Numbers: [1, 4, 155] Generated Node #2: [1, 4, 155] from Operation: 90+65=155 Current State: 39:[1, 4, 155], Operations: ['90+65=155'] Exploring Operation: 1+155=156, Resulting Numbers: [4, 156] Generated Node #3: [4, 156] from Operation: 1+155=156 Current State: 39:[4, 156], Operations: ['90+65=155', '1+155=156'] Exploring Operation: 156/4=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 55, 36, 17, 11 ]
85
[ "55+36=91", "17-11=6", "91-6=85" ]
Current State: 85:[55, 36, 17, 11], Operations: [] Exploring Operation: 55+36=91, Resulting Numbers: [17, 11, 91] Generated Node #2: [17, 11, 91] from Operation: 55+36=91 Current State: 85:[17, 11, 91], Operations: ['55+36=91'] Exploring Operation: 17-11=6, Resulting Numbers: [91, 6] Generated Node #3: [91, 6] from Operation: 17-11=6 Current State: 85:[91, 6], Operations: ['55+36=91', '17-11=6'] Exploring Operation: 91-6=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 22, 98, 80, 88 ]
48
[ "22+98=120", "80+88=168", "168-120=48" ]
Current State: 48:[22, 98, 80, 88], Operations: [] Exploring Operation: 22+98=120, Resulting Numbers: [80, 88, 120] Generated Node #2: [80, 88, 120] from Operation: 22+98=120 Current State: 48:[80, 88, 120], Operations: ['22+98=120'] Exploring Operation: 80+88=168, Resulting Numbers: [120, 168] Generated Node #3: [120, 168] from Operation: 80+88=168 Current State: 48:[120, 168], Operations: ['22+98=120', '80+88=168'] Exploring Operation: 168-120=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 32, 96, 74, 8 ]
30
[ "74-32=42", "96/8=12", "42-12=30" ]
Current State: 30:[32, 96, 74, 8], Operations: [] Exploring Operation: 74-32=42, Resulting Numbers: [96, 8, 42] Generated Node #2: [96, 8, 42] from Operation: 74-32=42 Current State: 30:[96, 8, 42], Operations: ['74-32=42'] Exploring Operation: 96/8=12, Resulting Numbers: [42, 12] Generated Node #3: [42, 12] from Operation: 96/8=12 Current State: 30:[42, 12], Operations: ['74-32=42', '96/8=12'] Exploring Operation: 42-12=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 63, 83, 20, 57 ]
77
[ "63+57=120", "120/20=6", "83-6=77" ]
Current State: 77:[63, 83, 20, 57], Operations: [] Exploring Operation: 63+57=120, Resulting Numbers: [83, 20, 120] Generated Node #2: [83, 20, 120] from Operation: 63+57=120 Current State: 77:[83, 20, 120], Operations: ['63+57=120'] Exploring Operation: 120/20=6, Resulting Numbers: [83, 6] Generated Node #3: [83, 6] from Operation: 120/20=6 Current State: 77:[83, 6], Operations: ['63+57=120', '120/20=6'] Exploring Operation: 83-6=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 72, 15, 22, 25 ]
84
[ "72+15=87", "25-22=3", "87-3=84" ]
Current State: 84:[72, 15, 22, 25], Operations: [] Exploring Operation: 72+15=87, Resulting Numbers: [22, 25, 87] Generated Node #2: [22, 25, 87] from Operation: 72+15=87 Current State: 84:[22, 25, 87], Operations: ['72+15=87'] Exploring Operation: 25-22=3, Resulting Numbers: [87, 3] Generated Node #3: [87, 3] from Operation: 25-22=3 Current State: 84:[87, 3], Operations: ['72+15=87', '25-22=3'] Exploring Operation: 87-3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
[ 31, 68, 26, 59 ]
34
[ "31+26=57", "59-57=2", "68/2=34" ]
Current State: 34:[31, 68, 26, 59], Operations: [] Exploring Operation: 31+26=57, Resulting Numbers: [68, 59, 57] Generated Node #2: [68, 59, 57] from Operation: 31+26=57 Current State: 34:[68, 59, 57], Operations: ['31+26=57'] Exploring Operation: 59-57=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 59-57=2 Current State: 34:[68, 2], Operations: ['31+26=57', '59-57=2'] Exploring Operation: 68/2=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
[ 60, 22, 59, 68 ]
91
[ "60+22=82", "68-59=9", "82+9=91" ]
Current State: 91:[60, 22, 59, 68], Operations: [] Exploring Operation: 60+22=82, Resulting Numbers: [59, 68, 82] Generated Node #2: [59, 68, 82] from Operation: 60+22=82 Current State: 91:[59, 68, 82], Operations: ['60+22=82'] Exploring Operation: 68-59=9, Resulting Numbers: [82, 9] Generated Node #3: [82, 9] from Operation: 68-59=9 Current State: 91:[82, 9], Operations: ['60+22=82', '68-59=9'] Exploring Operation: 82+9=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
[ 1, 83, 97, 29 ]
14
[ "83-1=82", "97-29=68", "82-68=14" ]
Current State: 14:[1, 83, 97, 29], Operations: [] Exploring Operation: 83-1=82, Resulting Numbers: [97, 29, 82] Generated Node #2: [97, 29, 82] from Operation: 83-1=82 Current State: 14:[97, 29, 82], Operations: ['83-1=82'] Exploring Operation: 97-29=68, Resulting Numbers: [82, 68] Generated Node #3: [82, 68] from Operation: 97-29=68 Current State: 14:[82, 68], Operations: ['83-1=82', '97-29=68'] Exploring Operation: 82-68=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 8, 89, 66, 25 ]
74
[ "89-25=64", "64/8=8", "66+8=74" ]
Current State: 74:[8, 89, 66, 25], Operations: [] Exploring Operation: 89-25=64, Resulting Numbers: [8, 66, 64] Generated Node #2: [8, 66, 64] from Operation: 89-25=64 Current State: 74:[8, 66, 64], Operations: ['89-25=64'] Exploring Operation: 64/8=8, Resulting Numbers: [66, 8] Generated Node #3: [66, 8] from Operation: 64/8=8 Current State: 74:[66, 8], Operations: ['89-25=64', '64/8=8'] Exploring Operation: 66+8=74, Resulting Numbers: [74] 74,74 equal: Goal Reached
4
[ 67, 74, 22, 14 ]
11
[ "74-67=7", "22*7=154", "154/14=11" ]
Current State: 11:[67, 74, 22, 14], Operations: [] Exploring Operation: 74-67=7, Resulting Numbers: [22, 14, 7] Generated Node #2: [22, 14, 7] from Operation: 74-67=7 Current State: 11:[22, 14, 7], Operations: ['74-67=7'] Exploring Operation: 22*7=154, Resulting Numbers: [14, 154] Generated Node #3: [14, 154] from Operation: 22*7=154 Current State: 11:[14, 154], Operations: ['74-67=7', '22*7=154'] Exploring Operation: 154/14=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 23, 41, 44, 70 ]
50
[ "23+41=64", "44+70=114", "114-64=50" ]
Current State: 50:[23, 41, 44, 70], Operations: [] Exploring Operation: 23+41=64, Resulting Numbers: [44, 70, 64] Generated Node #2: [44, 70, 64] from Operation: 23+41=64 Current State: 50:[44, 70, 64], Operations: ['23+41=64'] Exploring Operation: 44+70=114, Resulting Numbers: [64, 114] Generated Node #3: [64, 114] from Operation: 44+70=114 Current State: 50:[64, 114], Operations: ['23+41=64', '44+70=114'] Exploring Operation: 114-64=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 11, 92, 11, 54 ]
83
[ "11*11=121", "92-54=38", "121-38=83" ]
Current State: 83:[11, 92, 11, 54], Operations: [] Exploring Operation: 11*11=121, Resulting Numbers: [92, 54, 121] Generated Node #2: [92, 54, 121] from Operation: 11*11=121 Current State: 83:[92, 54, 121], Operations: ['11*11=121'] Exploring Operation: 92-54=38, Resulting Numbers: [121, 38] Generated Node #3: [121, 38] from Operation: 92-54=38 Current State: 83:[121, 38], Operations: ['11*11=121', '92-54=38'] Exploring Operation: 121-38=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 64, 72, 67, 75 ]
49
[ "67-64=3", "72+75=147", "147/3=49" ]
Current State: 49:[64, 72, 67, 75], Operations: [] Exploring Operation: 67-64=3, Resulting Numbers: [72, 75, 3] Generated Node #2: [72, 75, 3] from Operation: 67-64=3 Current State: 49:[72, 75, 3], Operations: ['67-64=3'] Exploring Operation: 72+75=147, Resulting Numbers: [3, 147] Generated Node #3: [3, 147] from Operation: 72+75=147 Current State: 49:[3, 147], Operations: ['67-64=3', '72+75=147'] Exploring Operation: 147/3=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 34, 36, 26, 66 ]
23
[ "36+66=102", "102/34=3", "26-3=23" ]
Current State: 23:[34, 36, 26, 66], Operations: [] Exploring Operation: 36+66=102, Resulting Numbers: [34, 26, 102] Generated Node #2: [34, 26, 102] from Operation: 36+66=102 Current State: 23:[34, 26, 102], Operations: ['36+66=102'] Exploring Operation: 102/34=3, Resulting Numbers: [26, 3] Generated Node #3: [26, 3] from Operation: 102/34=3 Current State: 23:[26, 3], Operations: ['36+66=102', '102/34=3'] Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 42, 63, 47, 24 ]
50
[ "63-42=21", "47+24=71", "71-21=50" ]
Current State: 50:[42, 63, 47, 24], Operations: [] Exploring Operation: 63-42=21, Resulting Numbers: [47, 24, 21] Generated Node #2: [47, 24, 21] from Operation: 63-42=21 Current State: 50:[47, 24, 21], Operations: ['63-42=21'] Exploring Operation: 47+24=71, Resulting Numbers: [21, 71] Generated Node #3: [21, 71] from Operation: 47+24=71 Current State: 50:[21, 71], Operations: ['63-42=21', '47+24=71'] Exploring Operation: 71-21=50, Resulting Numbers: [50] 50,50 equal: Goal Reached
4
[ 31, 18, 54, 4 ]
49
[ "54-31=23", "18*4=72", "72-23=49" ]
Current State: 49:[31, 18, 54, 4], Operations: [] Exploring Operation: 54-31=23, Resulting Numbers: [18, 4, 23] Generated Node #2: [18, 4, 23] from Operation: 54-31=23 Current State: 49:[18, 4, 23], Operations: ['54-31=23'] Exploring Operation: 18*4=72, Resulting Numbers: [23, 72] Generated Node #3: [23, 72] from Operation: 18*4=72 Current State: 49:[23, 72], Operations: ['54-31=23', '18*4=72'] Exploring Operation: 72-23=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 87, 90, 3, 98 ]
98
[ "90-87=3", "3+98=101", "101-3=98" ]
Current State: 98:[87, 90, 3, 98], Operations: [] Exploring Operation: 90-87=3, Resulting Numbers: [3, 98, 3] Generated Node #2: [3, 98, 3] from Operation: 90-87=3 Current State: 98:[3, 98, 3], Operations: ['90-87=3'] Exploring Operation: 3+98=101, Resulting Numbers: [101] 101,98 equal: Goal Reached Exploring Operation: 101-3=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 4, 25, 79, 86 ]
75
[ "4+79=83", "86-83=3", "25*3=75" ]
Current State: 75:[4, 25, 79, 86], Operations: [] Exploring Operation: 4+79=83, Resulting Numbers: [25, 86, 83] Generated Node #2: [25, 86, 83] from Operation: 4+79=83 Current State: 75:[25, 86, 83], Operations: ['4+79=83'] Exploring Operation: 86-83=3, Resulting Numbers: [25, 3] Generated Node #3: [25, 3] from Operation: 86-83=3 Current State: 75:[25, 3], Operations: ['4+79=83', '86-83=3'] Exploring Operation: 25*3=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 99, 75, 87, 72 ]
69
[ "99-87=12", "72/12=6", "75-6=69" ]
Current State: 69:[99, 75, 87, 72], Operations: [] Exploring Operation: 99-87=12, Resulting Numbers: [75, 72, 12] Generated Node #2: [75, 72, 12] from Operation: 99-87=12 Current State: 69:[75, 72, 12], Operations: ['99-87=12'] Exploring Operation: 72/12=6, Resulting Numbers: [75, 6] Generated Node #3: [75, 6] from Operation: 72/12=6 Current State: 69:[75, 6], Operations: ['99-87=12', '72/12=6'] Exploring Operation: 75-6=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 44, 82, 4, 31 ]
62
[ "44/4=11", "82-31=51", "11+51=62" ]
Current State: 62:[44, 82, 4, 31], Operations: [] Exploring Operation: 44/4=11, Resulting Numbers: [82, 31, 11] Generated Node #2: [82, 31, 11] from Operation: 44/4=11 Current State: 62:[82, 31, 11], Operations: ['44/4=11'] Exploring Operation: 82-31=51, Resulting Numbers: [11, 51] Generated Node #3: [11, 51] from Operation: 82-31=51 Current State: 62:[11, 51], Operations: ['44/4=11', '82-31=51'] Exploring Operation: 11+51=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 47, 3, 52, 91 ]
77
[ "47-3=44", "91*44=4004", "4004/52=77" ]
Current State: 77:[47, 3, 52, 91], Operations: [] Exploring Operation: 47-3=44, Resulting Numbers: [52, 91, 44] Generated Node #2: [52, 91, 44] from Operation: 47-3=44 Current State: 77:[52, 91, 44], Operations: ['47-3=44'] Exploring Operation: 91*44=4004, Resulting Numbers: [52, 4004] Generated Node #3: [52, 4004] from Operation: 91*44=4004 Current State: 77:[52, 4004], Operations: ['47-3=44', '91*44=4004'] Exploring Operation: 4004/52=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 45, 50, 15, 18 ]
63
[ "50*18=900", "45+900=945", "945/15=63" ]
Current State: 63:[45, 50, 15, 18], Operations: [] Exploring Operation: 50*18=900, Resulting Numbers: [45, 15, 900] Generated Node #2: [45, 15, 900] from Operation: 50*18=900 Current State: 63:[45, 15, 900], Operations: ['50*18=900'] Exploring Operation: 45+900=945, Resulting Numbers: [15, 945] Generated Node #3: [15, 945] from Operation: 45+900=945 Current State: 63:[15, 945], Operations: ['50*18=900', '45+900=945'] Exploring Operation: 945/15=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 36, 25, 14, 35 ]
39
[ "36-35=1", "25+14=39", "1*39=39" ]
Current State: 39:[36, 25, 14, 35], Operations: [] Exploring Operation: 36-35=1, Resulting Numbers: [25, 14, 1] Generated Node #2: [25, 14, 1] from Operation: 36-35=1 Current State: 39:[25, 14, 1], Operations: ['36-35=1'] Exploring Operation: 25+14=39, Resulting Numbers: [1, 39] Generated Node #3: [1, 39] from Operation: 25+14=39 Current State: 39:[1, 39], Operations: ['36-35=1', '25+14=39'] Exploring Operation: 1*39=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 1, 98, 3, 74 ]
41
[ "1+98=99", "99/3=33", "74-33=41" ]
Current State: 41:[1, 98, 3, 74], Operations: [] Exploring Operation: 1+98=99, Resulting Numbers: [3, 74, 99] Generated Node #2: [3, 74, 99] from Operation: 1+98=99 Current State: 41:[3, 74, 99], Operations: ['1+98=99'] Exploring Operation: 99/3=33, Resulting Numbers: [74, 33] Generated Node #3: [74, 33] from Operation: 99/3=33 Current State: 41:[74, 33], Operations: ['1+98=99', '99/3=33'] Exploring Operation: 74-33=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 25, 61, 30, 91 ]
26
[ "61+30=91", "91/91=1", "25+1=26" ]
Current State: 26:[25, 61, 30, 91], Operations: [] Exploring Operation: 61+30=91, Resulting Numbers: [25, 91, 91] Generated Node #2: [25, 91, 91] from Operation: 61+30=91 Current State: 26:[25, 91, 91], Operations: ['61+30=91'] Exploring Operation: 91/91=1, Resulting Numbers: [25, 1] Generated Node #3: [25, 1] from Operation: 91/91=1 Current State: 26:[25, 1], Operations: ['61+30=91', '91/91=1'] Exploring Operation: 25+1=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 73, 58, 85, 13 ]
87
[ "73-58=15", "85-13=72", "15+72=87" ]
Current State: 87:[73, 58, 85, 13], Operations: [] Exploring Operation: 73-58=15, Resulting Numbers: [85, 13, 15] Generated Node #2: [85, 13, 15] from Operation: 73-58=15 Current State: 87:[85, 13, 15], Operations: ['73-58=15'] Exploring Operation: 85-13=72, Resulting Numbers: [15, 72] Generated Node #3: [15, 72] from Operation: 85-13=72 Current State: 87:[15, 72], Operations: ['73-58=15', '85-13=72'] Exploring Operation: 15+72=87, Resulting Numbers: [87] 87,87 equal: Goal Reached
4
[ 11, 29, 67, 98 ]
49
[ "29-11=18", "98-67=31", "18+31=49" ]
Current State: 49:[11, 29, 67, 98], Operations: [] Exploring Operation: 29-11=18, Resulting Numbers: [67, 98, 18] Generated Node #2: [67, 98, 18] from Operation: 29-11=18 Current State: 49:[67, 98, 18], Operations: ['29-11=18'] Exploring Operation: 98-67=31, Resulting Numbers: [18, 31] Generated Node #3: [18, 31] from Operation: 98-67=31 Current State: 49:[18, 31], Operations: ['29-11=18', '98-67=31'] Exploring Operation: 18+31=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 36, 67, 40, 2 ]
75
[ "40-36=4", "2*4=8", "67+8=75" ]
Current State: 75:[36, 67, 40, 2], Operations: [] Exploring Operation: 40-36=4, Resulting Numbers: [67, 2, 4] Generated Node #2: [67, 2, 4] from Operation: 40-36=4 Current State: 75:[67, 2, 4], Operations: ['40-36=4'] Exploring Operation: 2*4=8, Resulting Numbers: [67, 8] Generated Node #3: [67, 8] from Operation: 2*4=8 Current State: 75:[67, 8], Operations: ['40-36=4', '2*4=8'] Exploring Operation: 67+8=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 95, 43, 6, 86 ]
63
[ "95+43=138", "138/6=23", "86-23=63" ]
Current State: 63:[95, 43, 6, 86], Operations: [] Exploring Operation: 95+43=138, Resulting Numbers: [6, 86, 138] Generated Node #2: [6, 86, 138] from Operation: 95+43=138 Current State: 63:[6, 86, 138], Operations: ['95+43=138'] Exploring Operation: 138/6=23, Resulting Numbers: [86, 23] Generated Node #3: [86, 23] from Operation: 138/6=23 Current State: 63:[86, 23], Operations: ['95+43=138', '138/6=23'] Exploring Operation: 86-23=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 72, 40, 98, 2 ]
28
[ "72+40=112", "112-98=14", "2*14=28" ]
Current State: 28:[72, 40, 98, 2], Operations: [] Exploring Operation: 72+40=112, Resulting Numbers: [98, 2, 112] Generated Node #2: [98, 2, 112] from Operation: 72+40=112 Current State: 28:[98, 2, 112], Operations: ['72+40=112'] Exploring Operation: 112-98=14, Resulting Numbers: [2, 14] Generated Node #3: [2, 14] from Operation: 112-98=14 Current State: 28:[2, 14], Operations: ['72+40=112', '112-98=14'] Exploring Operation: 2*14=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
[ 32, 10, 91, 84 ]
96
[ "91-10=81", "84-81=3", "32*3=96" ]
Current State: 96:[32, 10, 91, 84], Operations: [] Exploring Operation: 91-10=81, Resulting Numbers: [32, 84, 81] Generated Node #2: [32, 84, 81] from Operation: 91-10=81 Current State: 96:[32, 84, 81], Operations: ['91-10=81'] Exploring Operation: 84-81=3, Resulting Numbers: [32, 3] Generated Node #3: [32, 3] from Operation: 84-81=3 Current State: 96:[32, 3], Operations: ['91-10=81', '84-81=3'] Exploring Operation: 32*3=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 42, 50, 74, 53 ]
35
[ "42+50=92", "74+53=127", "127-92=35" ]
Current State: 35:[42, 50, 74, 53], Operations: [] Exploring Operation: 42+50=92, Resulting Numbers: [74, 53, 92] Generated Node #2: [74, 53, 92] from Operation: 42+50=92 Current State: 35:[74, 53, 92], Operations: ['42+50=92'] Exploring Operation: 74+53=127, Resulting Numbers: [92, 127] Generated Node #3: [92, 127] from Operation: 74+53=127 Current State: 35:[92, 127], Operations: ['42+50=92', '74+53=127'] Exploring Operation: 127-92=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 9, 47, 52, 7 ]
57
[ "9-7=2", "52*2=104", "104-47=57" ]
Current State: 57:[9, 47, 52, 7], Operations: [] Exploring Operation: 9-7=2, Resulting Numbers: [47, 52, 2] Generated Node #2: [47, 52, 2] from Operation: 9-7=2 Current State: 57:[47, 52, 2], Operations: ['9-7=2'] Exploring Operation: 52*2=104, Resulting Numbers: [47, 104] Generated Node #3: [47, 104] from Operation: 52*2=104 Current State: 57:[47, 104], Operations: ['9-7=2', '52*2=104'] Exploring Operation: 104-47=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 9, 1, 53, 85 ]
41
[ "9*1=9", "85-53=32", "9+32=41" ]
Current State: 41:[9, 1, 53, 85], Operations: [] Exploring Operation: 9*1=9, Resulting Numbers: [53, 85, 9] Generated Node #2: [53, 85, 9] from Operation: 9*1=9 Current State: 41:[53, 85, 9], Operations: ['9*1=9'] Exploring Operation: 85-53=32, Resulting Numbers: [9, 32] Generated Node #3: [9, 32] from Operation: 85-53=32 Current State: 41:[9, 32], Operations: ['9*1=9', '85-53=32'] Exploring Operation: 9+32=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 27, 90, 11, 26 ]
33
[ "26-11=15", "90/15=6", "27+6=33" ]
Current State: 33:[27, 90, 11, 26], Operations: [] Exploring Operation: 26-11=15, Resulting Numbers: [27, 90, 15] Generated Node #2: [27, 90, 15] from Operation: 26-11=15 Current State: 33:[27, 90, 15], Operations: ['26-11=15'] Exploring Operation: 90/15=6, Resulting Numbers: [27, 6] Generated Node #3: [27, 6] from Operation: 90/15=6 Current State: 33:[27, 6], Operations: ['26-11=15', '90/15=6'] Exploring Operation: 27+6=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 21, 31, 40, 18 ]
69
[ "21*31=651", "40*18=720", "720-651=69" ]
Current State: 69:[21, 31, 40, 18], Operations: [] Exploring Operation: 21*31=651, Resulting Numbers: [40, 18, 651] Generated Node #2: [40, 18, 651] from Operation: 21*31=651 Current State: 69:[40, 18, 651], Operations: ['21*31=651'] Exploring Operation: 40*18=720, Resulting Numbers: [651, 720] Generated Node #3: [651, 720] from Operation: 40*18=720 Current State: 69:[651, 720], Operations: ['21*31=651', '40*18=720'] Exploring Operation: 720-651=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 69, 37, 27, 93 ]
42
[ "69*37=2553", "27*93=2511", "2553-2511=42" ]
Current State: 42:[69, 37, 27, 93], Operations: [] Exploring Operation: 69*37=2553, Resulting Numbers: [27, 93, 2553] Generated Node #2: [27, 93, 2553] from Operation: 69*37=2553 Current State: 42:[27, 93, 2553], Operations: ['69*37=2553'] Exploring Operation: 27*93=2511, Resulting Numbers: [2553, 2511] Generated Node #3: [2553, 2511] from Operation: 27*93=2511 Current State: 42:[2553, 2511], Operations: ['69*37=2553', '27*93=2511'] Exploring Operation: 2553-2511=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 71, 45, 7, 61 ]
80
[ "71-45=26", "61-7=54", "26+54=80" ]
Current State: 80:[71, 45, 7, 61], Operations: [] Exploring Operation: 71-45=26, Resulting Numbers: [7, 61, 26] Generated Node #2: [7, 61, 26] from Operation: 71-45=26 Current State: 80:[7, 61, 26], Operations: ['71-45=26'] Exploring Operation: 61-7=54, Resulting Numbers: [26, 54] Generated Node #3: [26, 54] from Operation: 61-7=54 Current State: 80:[26, 54], Operations: ['71-45=26', '61-7=54'] Exploring Operation: 26+54=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
[ 82, 66, 21, 80 ]
85
[ "82-66=16", "21+80=101", "101-16=85" ]
Current State: 85:[82, 66, 21, 80], Operations: [] Exploring Operation: 82-66=16, Resulting Numbers: [21, 80, 16] Generated Node #2: [21, 80, 16] from Operation: 82-66=16 Current State: 85:[21, 80, 16], Operations: ['82-66=16'] Exploring Operation: 21+80=101, Resulting Numbers: [16, 101] Generated Node #3: [16, 101] from Operation: 21+80=101 Current State: 85:[16, 101], Operations: ['82-66=16', '21+80=101'] Exploring Operation: 101-16=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 1, 9, 57, 88 ]
46
[ "9-1=8", "88/8=11", "57-11=46" ]
Current State: 46:[1, 9, 57, 88], Operations: [] Exploring Operation: 9-1=8, Resulting Numbers: [57, 88, 8] Generated Node #2: [57, 88, 8] from Operation: 9-1=8 Current State: 46:[57, 88, 8], Operations: ['9-1=8'] Exploring Operation: 88/8=11, Resulting Numbers: [57, 11] Generated Node #3: [57, 11] from Operation: 88/8=11 Current State: 46:[57, 11], Operations: ['9-1=8', '88/8=11'] Exploring Operation: 57-11=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 9, 36, 70, 51 ]
76
[ "9+36=45", "70+51=121", "121-45=76" ]
Current State: 76:[9, 36, 70, 51], Operations: [] Exploring Operation: 9+36=45, Resulting Numbers: [70, 51, 45] Generated Node #2: [70, 51, 45] from Operation: 9+36=45 Current State: 76:[70, 51, 45], Operations: ['9+36=45'] Exploring Operation: 70+51=121, Resulting Numbers: [45, 121] Generated Node #3: [45, 121] from Operation: 70+51=121 Current State: 76:[45, 121], Operations: ['9+36=45', '70+51=121'] Exploring Operation: 121-45=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 40, 36, 43, 2 ]
75
[ "43-40=3", "36*2=72", "3+72=75" ]
Current State: 75:[40, 36, 43, 2], Operations: [] Exploring Operation: 43-40=3, Resulting Numbers: [36, 2, 3] Generated Node #2: [36, 2, 3] from Operation: 43-40=3 Current State: 75:[36, 2, 3], Operations: ['43-40=3'] Exploring Operation: 36*2=72, Resulting Numbers: [3, 72] Generated Node #3: [3, 72] from Operation: 36*2=72 Current State: 75:[3, 72], Operations: ['43-40=3', '36*2=72'] Exploring Operation: 3+72=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 79, 95, 74, 86 ]
14
[ "79+95=174", "74+86=160", "174-160=14" ]
Current State: 14:[79, 95, 74, 86], Operations: [] Exploring Operation: 79+95=174, Resulting Numbers: [74, 86, 174] Generated Node #2: [74, 86, 174] from Operation: 79+95=174 Current State: 14:[74, 86, 174], Operations: ['79+95=174'] Exploring Operation: 74+86=160, Resulting Numbers: [174, 160] Generated Node #3: [174, 160] from Operation: 74+86=160 Current State: 14:[174, 160], Operations: ['79+95=174', '74+86=160'] Exploring Operation: 174-160=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 73, 71, 64, 75 ]
86
[ "73-71=2", "75*2=150", "150-64=86" ]
Current State: 86:[73, 71, 64, 75], Operations: [] Exploring Operation: 73-71=2, Resulting Numbers: [64, 75, 2] Generated Node #2: [64, 75, 2] from Operation: 73-71=2 Current State: 86:[64, 75, 2], Operations: ['73-71=2'] Exploring Operation: 75*2=150, Resulting Numbers: [64, 150] Generated Node #3: [64, 150] from Operation: 75*2=150 Current State: 86:[64, 150], Operations: ['73-71=2', '75*2=150'] Exploring Operation: 150-64=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 11, 12, 33, 39 ]
77
[ "39-11=28", "33*28=924", "924/12=77" ]
Current State: 77:[11, 12, 33, 39], Operations: [] Exploring Operation: 39-11=28, Resulting Numbers: [12, 33, 28] Generated Node #2: [12, 33, 28] from Operation: 39-11=28 Current State: 77:[12, 33, 28], Operations: ['39-11=28'] Exploring Operation: 33*28=924, Resulting Numbers: [12, 924] Generated Node #3: [12, 924] from Operation: 33*28=924 Current State: 77:[12, 924], Operations: ['39-11=28', '33*28=924'] Exploring Operation: 924/12=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
[ 25, 37, 42, 39 ]
70
[ "39-25=14", "42-37=5", "14*5=70" ]
Current State: 70:[25, 37, 42, 39], Operations: [] Exploring Operation: 39-25=14, Resulting Numbers: [37, 42, 14] Generated Node #2: [37, 42, 14] from Operation: 39-25=14 Current State: 70:[37, 42, 14], Operations: ['39-25=14'] Exploring Operation: 42-37=5, Resulting Numbers: [14, 5] Generated Node #3: [14, 5] from Operation: 42-37=5 Current State: 70:[14, 5], Operations: ['39-25=14', '42-37=5'] Exploring Operation: 14*5=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 42, 38, 53, 70 ]
63
[ "42+38=80", "70-53=17", "80-17=63" ]
Current State: 63:[42, 38, 53, 70], Operations: [] Exploring Operation: 42+38=80, Resulting Numbers: [53, 70, 80] Generated Node #2: [53, 70, 80] from Operation: 42+38=80 Current State: 63:[53, 70, 80], Operations: ['42+38=80'] Exploring Operation: 70-53=17, Resulting Numbers: [80, 17] Generated Node #3: [80, 17] from Operation: 70-53=17 Current State: 63:[80, 17], Operations: ['42+38=80', '70-53=17'] Exploring Operation: 80-17=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 21, 62, 76, 83 ]
59
[ "83-76=7", "21/7=3", "62-3=59" ]
Current State: 59:[21, 62, 76, 83], Operations: [] Exploring Operation: 83-76=7, Resulting Numbers: [21, 62, 7] Generated Node #2: [21, 62, 7] from Operation: 83-76=7 Current State: 59:[21, 62, 7], Operations: ['83-76=7'] Exploring Operation: 21/7=3, Resulting Numbers: [62, 3] Generated Node #3: [62, 3] from Operation: 21/7=3 Current State: 59:[62, 3], Operations: ['83-76=7', '21/7=3'] Exploring Operation: 62-3=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 58, 5, 42, 83 ]
12
[ "58-5=53", "83-42=41", "53-41=12" ]
Current State: 12:[58, 5, 42, 83], Operations: [] Exploring Operation: 58-5=53, Resulting Numbers: [42, 83, 53] Generated Node #2: [42, 83, 53] from Operation: 58-5=53 Current State: 12:[42, 83, 53], Operations: ['58-5=53'] Exploring Operation: 83-42=41, Resulting Numbers: [53, 41] Generated Node #3: [53, 41] from Operation: 83-42=41 Current State: 12:[53, 41], Operations: ['58-5=53', '83-42=41'] Exploring Operation: 53-41=12, Resulting Numbers: [12] 12,12 equal: Goal Reached
4
[ 71, 3, 26, 28 ]
66
[ "71-3=68", "28-26=2", "68-2=66" ]
Current State: 66:[71, 3, 26, 28], Operations: [] Exploring Operation: 71-3=68, Resulting Numbers: [26, 28, 68] Generated Node #2: [26, 28, 68] from Operation: 71-3=68 Current State: 66:[26, 28, 68], Operations: ['71-3=68'] Exploring Operation: 28-26=2, Resulting Numbers: [68, 2] Generated Node #3: [68, 2] from Operation: 28-26=2 Current State: 66:[68, 2], Operations: ['71-3=68', '28-26=2'] Exploring Operation: 68-2=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 69, 84, 24, 19 ]
75
[ "84-69=15", "24-19=5", "15*5=75" ]
Current State: 75:[69, 84, 24, 19], Operations: [] Exploring Operation: 84-69=15, Resulting Numbers: [24, 19, 15] Generated Node #2: [24, 19, 15] from Operation: 84-69=15 Current State: 75:[24, 19, 15], Operations: ['84-69=15'] Exploring Operation: 24-19=5, Resulting Numbers: [15, 5] Generated Node #3: [15, 5] from Operation: 24-19=5 Current State: 75:[15, 5], Operations: ['84-69=15', '24-19=5'] Exploring Operation: 15*5=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
[ 15, 23, 92, 2 ]
88
[ "23-15=8", "8/2=4", "92-4=88" ]
Current State: 88:[15, 23, 92, 2], Operations: [] Exploring Operation: 23-15=8, Resulting Numbers: [92, 2, 8] Generated Node #2: [92, 2, 8] from Operation: 23-15=8 Current State: 88:[92, 2, 8], Operations: ['23-15=8'] Exploring Operation: 8/2=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 8/2=4 Current State: 88:[92, 4], Operations: ['23-15=8', '8/2=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 27, 12, 84, 81 ]
21
[ "27*12=324", "84*81=6804", "6804/324=21" ]
Current State: 21:[27, 12, 84, 81], Operations: [] Exploring Operation: 27*12=324, Resulting Numbers: [84, 81, 324] Generated Node #2: [84, 81, 324] from Operation: 27*12=324 Current State: 21:[84, 81, 324], Operations: ['27*12=324'] Exploring Operation: 84*81=6804, Resulting Numbers: [324, 6804] Generated Node #3: [324, 6804] from Operation: 84*81=6804 Current State: 21:[324, 6804], Operations: ['27*12=324', '84*81=6804'] Exploring Operation: 6804/324=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4