Datasets:
Parallel-Reasoning
/
countdown_problems

Dataset card Data Studio Files
xet
Community
1
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
[ 14, 12, 42, 14 ]
31
[ "14/14=1", "42-12=30", "1+30=31" ]
Current State: 31:[14, 12, 42, 14], Operations: [] Exploring Operation: 14/14=1, Resulting Numbers: [12, 42, 1] Generated Node #2: [12, 42, 1] from Operation: 14/14=1 Current State: 31:[12, 42, 1], Operations: ['14/14=1'] Exploring Operation: 42-12=30, Resulting Numbers: [1, 30] Generated Node #3: [1, 30] from Operation: 42-12=30 Current State: 31:[1, 30], Operations: ['14/14=1', '42-12=30'] Exploring Operation: 1+30=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 47, 61, 8, 59 ]
65
[ "61-47=14", "59-8=51", "14+51=65" ]
Current State: 65:[47, 61, 8, 59], Operations: [] Exploring Operation: 61-47=14, Resulting Numbers: [8, 59, 14] Generated Node #2: [8, 59, 14] from Operation: 61-47=14 Current State: 65:[8, 59, 14], Operations: ['61-47=14'] Exploring Operation: 59-8=51, Resulting Numbers: [14, 51] Generated Node #3: [14, 51] from Operation: 59-8=51 Current State: 65:[14, 51], Operations: ['61-47=14', '59-8=51'] Exploring Operation: 14+51=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
[ 9, 4, 38, 81 ]
33
[ "81/9=9", "4+38=42", "42-9=33" ]
Current State: 33:[9, 4, 38, 81], Operations: [] Exploring Operation: 81/9=9, Resulting Numbers: [4, 38, 9] Generated Node #2: [4, 38, 9] from Operation: 81/9=9 Current State: 33:[4, 38, 9], Operations: ['81/9=9'] Exploring Operation: 4+38=42, Resulting Numbers: [9, 42] Generated Node #3: [9, 42] from Operation: 4+38=42 Current State: 33:[9, 42], Operations: ['81/9=9', '4+38=42'] Exploring Operation: 42-9=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 66, 83, 11, 4 ]
24
[ "83-66=17", "11-4=7", "17+7=24" ]
Current State: 24:[66, 83, 11, 4], Operations: [] Exploring Operation: 83-66=17, Resulting Numbers: [11, 4, 17] Generated Node #2: [11, 4, 17] from Operation: 83-66=17 Current State: 24:[11, 4, 17], Operations: ['83-66=17'] Exploring Operation: 11-4=7, Resulting Numbers: [17, 7] Generated Node #3: [17, 7] from Operation: 11-4=7 Current State: 24:[17, 7], Operations: ['83-66=17', '11-4=7'] Exploring Operation: 17+7=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
[ 82, 29, 89, 3 ]
62
[ "89-29=60", "60/3=20", "82-20=62" ]
Current State: 62:[82, 29, 89, 3], Operations: [] Exploring Operation: 89-29=60, Resulting Numbers: [82, 3, 60] Generated Node #2: [82, 3, 60] from Operation: 89-29=60 Current State: 62:[82, 3, 60], Operations: ['89-29=60'] Exploring Operation: 60/3=20, Resulting Numbers: [82, 20] Generated Node #3: [82, 20] from Operation: 60/3=20 Current State: 62:[82, 20], Operations: ['89-29=60', '60/3=20'] Exploring Operation: 82-20=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 9, 4, 60, 69 ]
85
[ "69-60=9", "9*9=81", "4+81=85" ]
Current State: 85:[9, 4, 60, 69], Operations: [] Exploring Operation: 69-60=9, Resulting Numbers: [9, 4, 9] Generated Node #2: [9, 4, 9] from Operation: 69-60=9 Current State: 85:[9, 4, 9], Operations: ['69-60=9'] Exploring Operation: 9*9=81, Resulting Numbers: [4, 81] Generated Node #3: [4, 81] from Operation: 9*9=81 Current State: 85:[4, 81], Operations: ['69-60=9', '9*9=81'] Exploring Operation: 4+81=85, Resulting Numbers: [85] 85,85 equal: Goal Reached
4
[ 84, 16, 38, 24 ]
42
[ "38-16=22", "24-22=2", "84/2=42" ]
Current State: 42:[84, 16, 38, 24], Operations: [] Exploring Operation: 38-16=22, Resulting Numbers: [84, 24, 22] Generated Node #2: [84, 24, 22] from Operation: 38-16=22 Current State: 42:[84, 24, 22], Operations: ['38-16=22'] Exploring Operation: 24-22=2, Resulting Numbers: [84, 2] Generated Node #3: [84, 2] from Operation: 24-22=2 Current State: 42:[84, 2], Operations: ['38-16=22', '24-22=2'] Exploring Operation: 84/2=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
[ 3, 10, 78, 85 ]
53
[ "85-10=75", "75/3=25", "78-25=53" ]
Current State: 53:[3, 10, 78, 85], Operations: [] Exploring Operation: 85-10=75, Resulting Numbers: [3, 78, 75] Generated Node #2: [3, 78, 75] from Operation: 85-10=75 Current State: 53:[3, 78, 75], Operations: ['85-10=75'] Exploring Operation: 75/3=25, Resulting Numbers: [78, 25] Generated Node #3: [78, 25] from Operation: 75/3=25 Current State: 53:[78, 25], Operations: ['85-10=75', '75/3=25'] Exploring Operation: 78-25=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
[ 92, 58, 19, 71 ]
86
[ "92-58=34", "71-19=52", "34+52=86" ]
Current State: 86:[92, 58, 19, 71], Operations: [] Exploring Operation: 92-58=34, Resulting Numbers: [19, 71, 34] Generated Node #2: [19, 71, 34] from Operation: 92-58=34 Current State: 86:[19, 71, 34], Operations: ['92-58=34'] Exploring Operation: 71-19=52, Resulting Numbers: [34, 52] Generated Node #3: [34, 52] from Operation: 71-19=52 Current State: 86:[34, 52], Operations: ['92-58=34', '71-19=52'] Exploring Operation: 34+52=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 38, 7, 70, 46 ]
98
[ "70-38=32", "46-32=14", "7*14=98" ]
Current State: 98:[38, 7, 70, 46], Operations: [] Exploring Operation: 70-38=32, Resulting Numbers: [7, 46, 32] Generated Node #2: [7, 46, 32] from Operation: 70-38=32 Current State: 98:[7, 46, 32], Operations: ['70-38=32'] Exploring Operation: 46-32=14, Resulting Numbers: [7, 14] Generated Node #3: [7, 14] from Operation: 46-32=14 Current State: 98:[7, 14], Operations: ['70-38=32', '46-32=14'] Exploring Operation: 7*14=98, Resulting Numbers: [98] 98,98 equal: Goal Reached
4
[ 11, 11, 4, 95 ]
95
[ "11-11=0", "4*0=0", "95+0=95" ]
Current State: 95:[11, 11, 4, 95], Operations: [] Exploring Operation: 11-11=0, Resulting Numbers: [4, 95, 0] Generated Node #2: [4, 95, 0] from Operation: 11-11=0 Current State: 95:[4, 95, 0], Operations: ['11-11=0'] Exploring Operation: 4*0=0, Resulting Numbers: [95, 0] Generated Node #3: [95, 0] from Operation: 4*0=0 Current State: 95:[95, 0], Operations: ['11-11=0', '4*0=0'] Exploring Operation: 95+0=95, Resulting Numbers: [95] 95,95 equal: Goal Reached
4
[ 66, 81, 68, 11 ]
97
[ "81-66=15", "11*15=165", "165-68=97" ]
Current State: 97:[66, 81, 68, 11], Operations: [] Exploring Operation: 81-66=15, Resulting Numbers: [68, 11, 15] Generated Node #2: [68, 11, 15] from Operation: 81-66=15 Current State: 97:[68, 11, 15], Operations: ['81-66=15'] Exploring Operation: 11*15=165, Resulting Numbers: [68, 165] Generated Node #3: [68, 165] from Operation: 11*15=165 Current State: 97:[68, 165], Operations: ['81-66=15', '11*15=165'] Exploring Operation: 165-68=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 10, 21, 1, 32 ]
63
[ "10+21=31", "1*32=32", "31+32=63" ]
Current State: 63:[10, 21, 1, 32], Operations: [] Exploring Operation: 10+21=31, Resulting Numbers: [1, 32, 31] Generated Node #2: [1, 32, 31] from Operation: 10+21=31 Current State: 63:[1, 32, 31], Operations: ['10+21=31'] Exploring Operation: 1*32=32, Resulting Numbers: [31, 32] Generated Node #3: [31, 32] from Operation: 1*32=32 Current State: 63:[31, 32], Operations: ['10+21=31', '1*32=32'] Exploring Operation: 31+32=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 63, 20, 27, 10 ]
26
[ "63-20=43", "27-10=17", "43-17=26" ]
Current State: 26:[63, 20, 27, 10], Operations: [] Exploring Operation: 63-20=43, Resulting Numbers: [27, 10, 43] Generated Node #2: [27, 10, 43] from Operation: 63-20=43 Current State: 26:[27, 10, 43], Operations: ['63-20=43'] Exploring Operation: 27-10=17, Resulting Numbers: [43, 17] Generated Node #3: [43, 17] from Operation: 27-10=17 Current State: 26:[43, 17], Operations: ['63-20=43', '27-10=17'] Exploring Operation: 43-17=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 60, 81, 12, 15 ]
63
[ "81-60=21", "15-12=3", "21*3=63" ]
Current State: 63:[60, 81, 12, 15], Operations: [] Exploring Operation: 81-60=21, Resulting Numbers: [12, 15, 21] Generated Node #2: [12, 15, 21] from Operation: 81-60=21 Current State: 63:[12, 15, 21], Operations: ['81-60=21'] Exploring Operation: 15-12=3, Resulting Numbers: [21, 3] Generated Node #3: [21, 3] from Operation: 15-12=3 Current State: 63:[21, 3], Operations: ['81-60=21', '15-12=3'] Exploring Operation: 21*3=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 8, 18, 80, 67 ]
71
[ "80-8=72", "72/18=4", "67+4=71" ]
Current State: 71:[8, 18, 80, 67], Operations: [] Exploring Operation: 80-8=72, Resulting Numbers: [18, 67, 72] Generated Node #2: [18, 67, 72] from Operation: 80-8=72 Current State: 71:[18, 67, 72], Operations: ['80-8=72'] Exploring Operation: 72/18=4, Resulting Numbers: [67, 4] Generated Node #3: [67, 4] from Operation: 72/18=4 Current State: 71:[67, 4], Operations: ['80-8=72', '72/18=4'] Exploring Operation: 67+4=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 35, 76, 7, 19 ]
20
[ "35*76=2660", "7*19=133", "2660/133=20" ]
Current State: 20:[35, 76, 7, 19], Operations: [] Exploring Operation: 35*76=2660, Resulting Numbers: [7, 19, 2660] Generated Node #2: [7, 19, 2660] from Operation: 35*76=2660 Current State: 20:[7, 19, 2660], Operations: ['35*76=2660'] Exploring Operation: 7*19=133, Resulting Numbers: [2660, 133] Generated Node #3: [2660, 133] from Operation: 7*19=133 Current State: 20:[2660, 133], Operations: ['35*76=2660', '7*19=133'] Exploring Operation: 2660/133=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 91, 96, 10, 73 ]
88
[ "96-91=5", "10+73=83", "5+83=88" ]
Current State: 88:[91, 96, 10, 73], Operations: [] Exploring Operation: 96-91=5, Resulting Numbers: [10, 73, 5] Generated Node #2: [10, 73, 5] from Operation: 96-91=5 Current State: 88:[10, 73, 5], Operations: ['96-91=5'] Exploring Operation: 10+73=83, Resulting Numbers: [5, 83] Generated Node #3: [5, 83] from Operation: 10+73=83 Current State: 88:[5, 83], Operations: ['96-91=5', '10+73=83'] Exploring Operation: 5+83=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 10, 57, 7, 2 ]
97
[ "10+7=17", "57*2=114", "114-17=97" ]
Current State: 97:[10, 57, 7, 2], Operations: [] Exploring Operation: 10+7=17, Resulting Numbers: [57, 2, 17] Generated Node #2: [57, 2, 17] from Operation: 10+7=17 Current State: 97:[57, 2, 17], Operations: ['10+7=17'] Exploring Operation: 57*2=114, Resulting Numbers: [17, 114] Generated Node #3: [17, 114] from Operation: 57*2=114 Current State: 97:[17, 114], Operations: ['10+7=17', '57*2=114'] Exploring Operation: 114-17=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 78, 39, 43, 66 ]
46
[ "78/39=2", "66-43=23", "2*23=46" ]
Current State: 46:[78, 39, 43, 66], Operations: [] Exploring Operation: 78/39=2, Resulting Numbers: [43, 66, 2] Generated Node #2: [43, 66, 2] from Operation: 78/39=2 Current State: 46:[43, 66, 2], Operations: ['78/39=2'] Exploring Operation: 66-43=23, Resulting Numbers: [2, 23] Generated Node #3: [2, 23] from Operation: 66-43=23 Current State: 46:[2, 23], Operations: ['78/39=2', '66-43=23'] Exploring Operation: 2*23=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4
[ 42, 12, 13, 6 ]
73
[ "42+12=54", "13+6=19", "54+19=73" ]
Current State: 73:[42, 12, 13, 6], Operations: [] Exploring Operation: 42+12=54, Resulting Numbers: [13, 6, 54] Generated Node #2: [13, 6, 54] from Operation: 42+12=54 Current State: 73:[13, 6, 54], Operations: ['42+12=54'] Exploring Operation: 13+6=19, Resulting Numbers: [54, 19] Generated Node #3: [54, 19] from Operation: 13+6=19 Current State: 73:[54, 19], Operations: ['42+12=54', '13+6=19'] Exploring Operation: 54+19=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
[ 15, 95, 21, 24 ]
100
[ "24-21=3", "15/3=5", "95+5=100" ]
Current State: 100:[15, 95, 21, 24], Operations: [] Exploring Operation: 24-21=3, Resulting Numbers: [15, 95, 3] Generated Node #2: [15, 95, 3] from Operation: 24-21=3 Current State: 100:[15, 95, 3], Operations: ['24-21=3'] Exploring Operation: 15/3=5, Resulting Numbers: [95, 5] Generated Node #3: [95, 5] from Operation: 15/3=5 Current State: 100:[95, 5], Operations: ['24-21=3', '15/3=5'] Exploring Operation: 95+5=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 87, 67, 31, 19 ]
31
[ "87-67=20", "20-19=1", "31*1=31" ]
Current State: 31:[87, 67, 31, 19], Operations: [] Exploring Operation: 87-67=20, Resulting Numbers: [31, 19, 20] Generated Node #2: [31, 19, 20] from Operation: 87-67=20 Current State: 31:[31, 19, 20], Operations: ['87-67=20'] Exploring Operation: 20-19=1, Resulting Numbers: [31, 1] Generated Node #3: [31, 1] from Operation: 20-19=1 Current State: 31:[31, 1], Operations: ['87-67=20', '20-19=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 68, 62, 35, 77 ]
48
[ "68-62=6", "77-35=42", "6+42=48" ]
Current State: 48:[68, 62, 35, 77], Operations: [] Exploring Operation: 68-62=6, Resulting Numbers: [35, 77, 6] Generated Node #2: [35, 77, 6] from Operation: 68-62=6 Current State: 48:[35, 77, 6], Operations: ['68-62=6'] Exploring Operation: 77-35=42, Resulting Numbers: [6, 42] Generated Node #3: [6, 42] from Operation: 77-35=42 Current State: 48:[6, 42], Operations: ['68-62=6', '77-35=42'] Exploring Operation: 6+42=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
[ 50, 6, 7, 37 ]
55
[ "50-37=13", "6*7=42", "13+42=55" ]
Current State: 55:[50, 6, 7, 37], Operations: [] Exploring Operation: 50-37=13, Resulting Numbers: [6, 7, 13] Generated Node #2: [6, 7, 13] from Operation: 50-37=13 Current State: 55:[6, 7, 13], Operations: ['50-37=13'] Exploring Operation: 6*7=42, Resulting Numbers: [13, 42] Generated Node #3: [13, 42] from Operation: 6*7=42 Current State: 55:[13, 42], Operations: ['50-37=13', '6*7=42'] Exploring Operation: 13+42=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 49, 61, 17, 7 ]
11
[ "49+61=110", "17-7=10", "110/10=11" ]
Current State: 11:[49, 61, 17, 7], Operations: [] Exploring Operation: 49+61=110, Resulting Numbers: [17, 7, 110] Generated Node #2: [17, 7, 110] from Operation: 49+61=110 Current State: 11:[17, 7, 110], Operations: ['49+61=110'] Exploring Operation: 17-7=10, Resulting Numbers: [110, 10] Generated Node #3: [110, 10] from Operation: 17-7=10 Current State: 11:[110, 10], Operations: ['49+61=110', '17-7=10'] Exploring Operation: 110/10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 11, 29, 13, 4 ]
62
[ "13-11=2", "29*2=58", "4+58=62" ]
Current State: 62:[11, 29, 13, 4], Operations: [] Exploring Operation: 13-11=2, Resulting Numbers: [29, 4, 2] Generated Node #2: [29, 4, 2] from Operation: 13-11=2 Current State: 62:[29, 4, 2], Operations: ['13-11=2'] Exploring Operation: 29*2=58, Resulting Numbers: [4, 58] Generated Node #3: [4, 58] from Operation: 29*2=58 Current State: 62:[4, 58], Operations: ['13-11=2', '29*2=58'] Exploring Operation: 4+58=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 6, 6, 47, 57 ]
11
[ "6/6=1", "57-47=10", "1+10=11" ]
Current State: 11:[6, 6, 47, 57], Operations: [] Exploring Operation: 6/6=1, Resulting Numbers: [47, 57, 1] Generated Node #2: [47, 57, 1] from Operation: 6/6=1 Current State: 11:[47, 57, 1], Operations: ['6/6=1'] Exploring Operation: 57-47=10, Resulting Numbers: [1, 10] Generated Node #3: [1, 10] from Operation: 57-47=10 Current State: 11:[1, 10], Operations: ['6/6=1', '57-47=10'] Exploring Operation: 1+10=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 42, 1, 18, 8 ]
33
[ "42+1=43", "18-8=10", "43-10=33" ]
Current State: 33:[42, 1, 18, 8], Operations: [] Exploring Operation: 42+1=43, Resulting Numbers: [18, 8, 43] Generated Node #2: [18, 8, 43] from Operation: 42+1=43 Current State: 33:[18, 8, 43], Operations: ['42+1=43'] Exploring Operation: 18-8=10, Resulting Numbers: [43, 10] Generated Node #3: [43, 10] from Operation: 18-8=10 Current State: 33:[43, 10], Operations: ['42+1=43', '18-8=10'] Exploring Operation: 43-10=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 11, 12, 2, 6 ]
90
[ "11+2=13", "6*13=78", "12+78=90" ]
Current State: 90:[11, 12, 2, 6], Operations: [] Exploring Operation: 11+2=13, Resulting Numbers: [12, 6, 13] Generated Node #2: [12, 6, 13] from Operation: 11+2=13 Current State: 90:[12, 6, 13], Operations: ['11+2=13'] Exploring Operation: 6*13=78, Resulting Numbers: [12, 78] Generated Node #3: [12, 78] from Operation: 6*13=78 Current State: 90:[12, 78], Operations: ['11+2=13', '6*13=78'] Exploring Operation: 12+78=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
[ 95, 98, 53, 72 ]
57
[ "98-95=3", "72-53=19", "3*19=57" ]
Current State: 57:[95, 98, 53, 72], Operations: [] Exploring Operation: 98-95=3, Resulting Numbers: [53, 72, 3] Generated Node #2: [53, 72, 3] from Operation: 98-95=3 Current State: 57:[53, 72, 3], Operations: ['98-95=3'] Exploring Operation: 72-53=19, Resulting Numbers: [3, 19] Generated Node #3: [3, 19] from Operation: 72-53=19 Current State: 57:[3, 19], Operations: ['98-95=3', '72-53=19'] Exploring Operation: 3*19=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 30, 49, 11, 7 ]
83
[ "30+49=79", "11-7=4", "79+4=83" ]
Current State: 83:[30, 49, 11, 7], Operations: [] Exploring Operation: 30+49=79, Resulting Numbers: [11, 7, 79] Generated Node #2: [11, 7, 79] from Operation: 30+49=79 Current State: 83:[11, 7, 79], Operations: ['30+49=79'] Exploring Operation: 11-7=4, Resulting Numbers: [79, 4] Generated Node #3: [79, 4] from Operation: 11-7=4 Current State: 83:[79, 4], Operations: ['30+49=79', '11-7=4'] Exploring Operation: 79+4=83, Resulting Numbers: [83] 83,83 equal: Goal Reached
4
[ 87, 5, 46, 83 ]
66
[ "87-83=4", "5*4=20", "46+20=66" ]
Current State: 66:[87, 5, 46, 83], Operations: [] Exploring Operation: 87-83=4, Resulting Numbers: [5, 46, 4] Generated Node #2: [5, 46, 4] from Operation: 87-83=4 Current State: 66:[5, 46, 4], Operations: ['87-83=4'] Exploring Operation: 5*4=20, Resulting Numbers: [46, 20] Generated Node #3: [46, 20] from Operation: 5*4=20 Current State: 66:[46, 20], Operations: ['87-83=4', '5*4=20'] Exploring Operation: 46+20=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 19, 52, 21, 45 ]
38
[ "21-19=2", "45*2=90", "90-52=38" ]
Current State: 38:[19, 52, 21, 45], Operations: [] Exploring Operation: 21-19=2, Resulting Numbers: [52, 45, 2] Generated Node #2: [52, 45, 2] from Operation: 21-19=2 Current State: 38:[52, 45, 2], Operations: ['21-19=2'] Exploring Operation: 45*2=90, Resulting Numbers: [52, 90] Generated Node #3: [52, 90] from Operation: 45*2=90 Current State: 38:[52, 90], Operations: ['21-19=2', '45*2=90'] Exploring Operation: 90-52=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 87, 27, 99, 7 ]
69
[ "27+99=126", "126/7=18", "87-18=69" ]
Current State: 69:[87, 27, 99, 7], Operations: [] Exploring Operation: 27+99=126, Resulting Numbers: [87, 7, 126] Generated Node #2: [87, 7, 126] from Operation: 27+99=126 Current State: 69:[87, 7, 126], Operations: ['27+99=126'] Exploring Operation: 126/7=18, Resulting Numbers: [87, 18] Generated Node #3: [87, 18] from Operation: 126/7=18 Current State: 69:[87, 18], Operations: ['27+99=126', '126/7=18'] Exploring Operation: 87-18=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 87, 38, 16, 9 ]
13
[ "38-9=29", "87/29=3", "16-3=13" ]
Current State: 13:[87, 38, 16, 9], Operations: [] Exploring Operation: 38-9=29, Resulting Numbers: [87, 16, 29] Generated Node #2: [87, 16, 29] from Operation: 38-9=29 Current State: 13:[87, 16, 29], Operations: ['38-9=29'] Exploring Operation: 87/29=3, Resulting Numbers: [16, 3] Generated Node #3: [16, 3] from Operation: 87/29=3 Current State: 13:[16, 3], Operations: ['38-9=29', '87/29=3'] Exploring Operation: 16-3=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 54, 99, 18, 26 ]
14
[ "54*26=1404", "1404-18=1386", "1386/99=14" ]
Current State: 14:[54, 99, 18, 26], Operations: [] Exploring Operation: 54*26=1404, Resulting Numbers: [99, 18, 1404] Generated Node #2: [99, 18, 1404] from Operation: 54*26=1404 Current State: 14:[99, 18, 1404], Operations: ['54*26=1404'] Exploring Operation: 1404-18=1386, Resulting Numbers: [99, 1386] Generated Node #3: [99, 1386] from Operation: 1404-18=1386 Current State: 14:[99, 1386], Operations: ['54*26=1404', '1404-18=1386'] Exploring Operation: 1386/99=14, Resulting Numbers: [14] 14,14 equal: Goal Reached
4
[ 35, 21, 30, 56 ]
30
[ "35+21=56", "30+56=86", "86-56=30" ]
Current State: 30:[35, 21, 30, 56], Operations: [] Exploring Operation: 35+21=56, Resulting Numbers: [30, 56, 56] Generated Node #2: [30, 56, 56] from Operation: 35+21=56 Current State: 30:[30, 56, 56], Operations: ['35+21=56'] Exploring Operation: 30+56=86, Resulting Numbers: [86] 86,30 equal: Goal Reached Exploring Operation: 86-56=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 92, 81, 15, 25 ]
21
[ "92-81=11", "25-15=10", "11+10=21" ]
Current State: 21:[92, 81, 15, 25], Operations: [] Exploring Operation: 92-81=11, Resulting Numbers: [15, 25, 11] Generated Node #2: [15, 25, 11] from Operation: 92-81=11 Current State: 21:[15, 25, 11], Operations: ['92-81=11'] Exploring Operation: 25-15=10, Resulting Numbers: [11, 10] Generated Node #3: [11, 10] from Operation: 25-15=10 Current State: 21:[11, 10], Operations: ['92-81=11', '25-15=10'] Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 17, 53, 19, 62 ]
18
[ "19-17=2", "62-53=9", "2*9=18" ]
Current State: 18:[17, 53, 19, 62], Operations: [] Exploring Operation: 19-17=2, Resulting Numbers: [53, 62, 2] Generated Node #2: [53, 62, 2] from Operation: 19-17=2 Current State: 18:[53, 62, 2], Operations: ['19-17=2'] Exploring Operation: 62-53=9, Resulting Numbers: [2, 9] Generated Node #3: [2, 9] from Operation: 62-53=9 Current State: 18:[2, 9], Operations: ['19-17=2', '62-53=9'] Exploring Operation: 2*9=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
[ 20, 35, 41, 41 ]
55
[ "20+35=55", "41-41=0", "55+0=55" ]
Current State: 55:[20, 35, 41, 41], Operations: [] Exploring Operation: 20+35=55, Resulting Numbers: [41, 41, 55] Generated Node #2: [41, 41, 55] from Operation: 20+35=55 Current State: 55:[41, 41, 55], Operations: ['20+35=55'] Exploring Operation: 41-41=0, Resulting Numbers: [55, 0] Generated Node #3: [55, 0] from Operation: 41-41=0 Current State: 55:[55, 0], Operations: ['20+35=55', '41-41=0'] Exploring Operation: 55+0=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 52, 54, 14, 31 ]
89
[ "52+54=106", "31-14=17", "106-17=89" ]
Current State: 89:[52, 54, 14, 31], Operations: [] Exploring Operation: 52+54=106, Resulting Numbers: [14, 31, 106] Generated Node #2: [14, 31, 106] from Operation: 52+54=106 Current State: 89:[14, 31, 106], Operations: ['52+54=106'] Exploring Operation: 31-14=17, Resulting Numbers: [106, 17] Generated Node #3: [106, 17] from Operation: 31-14=17 Current State: 89:[106, 17], Operations: ['52+54=106', '31-14=17'] Exploring Operation: 106-17=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 59, 64, 37, 99 ]
57
[ "64-59=5", "99-37=62", "62-5=57" ]
Current State: 57:[59, 64, 37, 99], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [37, 99, 5] Generated Node #2: [37, 99, 5] from Operation: 64-59=5 Current State: 57:[37, 99, 5], Operations: ['64-59=5'] Exploring Operation: 99-37=62, Resulting Numbers: [5, 62] Generated Node #3: [5, 62] from Operation: 99-37=62 Current State: 57:[5, 62], Operations: ['64-59=5', '99-37=62'] Exploring Operation: 62-5=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
[ 8, 40, 34, 72 ]
20
[ "40-34=6", "72/6=12", "8+12=20" ]
Current State: 20:[8, 40, 34, 72], Operations: [] Exploring Operation: 40-34=6, Resulting Numbers: [8, 72, 6] Generated Node #2: [8, 72, 6] from Operation: 40-34=6 Current State: 20:[8, 72, 6], Operations: ['40-34=6'] Exploring Operation: 72/6=12, Resulting Numbers: [8, 12] Generated Node #3: [8, 12] from Operation: 72/6=12 Current State: 20:[8, 12], Operations: ['40-34=6', '72/6=12'] Exploring Operation: 8+12=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
[ 37, 81, 43, 52 ]
19
[ "37*43=1591", "1591-52=1539", "1539/81=19" ]
Current State: 19:[37, 81, 43, 52], Operations: [] Exploring Operation: 37*43=1591, Resulting Numbers: [81, 52, 1591] Generated Node #2: [81, 52, 1591] from Operation: 37*43=1591 Current State: 19:[81, 52, 1591], Operations: ['37*43=1591'] Exploring Operation: 1591-52=1539, Resulting Numbers: [81, 1539] Generated Node #3: [81, 1539] from Operation: 1591-52=1539 Current State: 19:[81, 1539], Operations: ['37*43=1591', '1591-52=1539'] Exploring Operation: 1539/81=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
[ 41, 29, 12, 95 ]
49
[ "41*29=1189", "12*95=1140", "1189-1140=49" ]
Current State: 49:[41, 29, 12, 95], Operations: [] Exploring Operation: 41*29=1189, Resulting Numbers: [12, 95, 1189] Generated Node #2: [12, 95, 1189] from Operation: 41*29=1189 Current State: 49:[12, 95, 1189], Operations: ['41*29=1189'] Exploring Operation: 12*95=1140, Resulting Numbers: [1189, 1140] Generated Node #3: [1189, 1140] from Operation: 12*95=1140 Current State: 49:[1189, 1140], Operations: ['41*29=1189', '12*95=1140'] Exploring Operation: 1189-1140=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 56, 28, 46, 82 ]
23
[ "56+28=84", "84-82=2", "46/2=23" ]
Current State: 23:[56, 28, 46, 82], Operations: [] Exploring Operation: 56+28=84, Resulting Numbers: [46, 82, 84] Generated Node #2: [46, 82, 84] from Operation: 56+28=84 Current State: 23:[46, 82, 84], Operations: ['56+28=84'] Exploring Operation: 84-82=2, Resulting Numbers: [46, 2] Generated Node #3: [46, 2] from Operation: 84-82=2 Current State: 23:[46, 2], Operations: ['56+28=84', '84-82=2'] Exploring Operation: 46/2=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 31, 8, 31, 39 ]
33
[ "39-31=8", "8*8=64", "64-31=33" ]
Current State: 33:[31, 8, 31, 39], Operations: [] Exploring Operation: 39-31=8, Resulting Numbers: [8, 8] Generated Node #2: [8, 8] from Operation: 39-31=8 Current State: 33:[8, 8], Operations: ['39-31=8'] Exploring Operation: 8*8=64, Resulting Numbers: [64] 64,33 equal: Goal Reached Exploring Operation: 64-31=33, Resulting Numbers: [33] 33,33 equal: Goal Reached
4
[ 94, 98, 73, 10 ]
59
[ "98-94=4", "73-10=63", "63-4=59" ]
Current State: 59:[94, 98, 73, 10], Operations: [] Exploring Operation: 98-94=4, Resulting Numbers: [73, 10, 4] Generated Node #2: [73, 10, 4] from Operation: 98-94=4 Current State: 59:[73, 10, 4], Operations: ['98-94=4'] Exploring Operation: 73-10=63, Resulting Numbers: [4, 63] Generated Node #3: [4, 63] from Operation: 73-10=63 Current State: 59:[4, 63], Operations: ['98-94=4', '73-10=63'] Exploring Operation: 63-4=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
[ 2, 53, 35, 63 ]
43
[ "2+53=55", "35+63=98", "98-55=43" ]
Current State: 43:[2, 53, 35, 63], Operations: [] Exploring Operation: 2+53=55, Resulting Numbers: [35, 63, 55] Generated Node #2: [35, 63, 55] from Operation: 2+53=55 Current State: 43:[35, 63, 55], Operations: ['2+53=55'] Exploring Operation: 35+63=98, Resulting Numbers: [55, 98] Generated Node #3: [55, 98] from Operation: 35+63=98 Current State: 43:[55, 98], Operations: ['2+53=55', '35+63=98'] Exploring Operation: 98-55=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
[ 26, 48, 81, 94 ]
35
[ "48-26=22", "94-81=13", "22+13=35" ]
Current State: 35:[26, 48, 81, 94], Operations: [] Exploring Operation: 48-26=22, Resulting Numbers: [81, 94, 22] Generated Node #2: [81, 94, 22] from Operation: 48-26=22 Current State: 35:[81, 94, 22], Operations: ['48-26=22'] Exploring Operation: 94-81=13, Resulting Numbers: [22, 13] Generated Node #3: [22, 13] from Operation: 94-81=13 Current State: 35:[22, 13], Operations: ['48-26=22', '94-81=13'] Exploring Operation: 22+13=35, Resulting Numbers: [35] 35,35 equal: Goal Reached
4
[ 46, 23, 55, 94 ]
78
[ "46/23=2", "94-55=39", "2*39=78" ]
Current State: 78:[46, 23, 55, 94], Operations: [] Exploring Operation: 46/23=2, Resulting Numbers: [55, 94, 2] Generated Node #2: [55, 94, 2] from Operation: 46/23=2 Current State: 78:[55, 94, 2], Operations: ['46/23=2'] Exploring Operation: 94-55=39, Resulting Numbers: [2, 39] Generated Node #3: [2, 39] from Operation: 94-55=39 Current State: 78:[2, 39], Operations: ['46/23=2', '94-55=39'] Exploring Operation: 2*39=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
[ 56, 59, 75, 24 ]
49
[ "59-56=3", "75/3=25", "24+25=49" ]
Current State: 49:[56, 59, 75, 24], Operations: [] Exploring Operation: 59-56=3, Resulting Numbers: [75, 24, 3] Generated Node #2: [75, 24, 3] from Operation: 59-56=3 Current State: 49:[75, 24, 3], Operations: ['59-56=3'] Exploring Operation: 75/3=25, Resulting Numbers: [24, 25] Generated Node #3: [24, 25] from Operation: 75/3=25 Current State: 49:[24, 25], Operations: ['59-56=3', '75/3=25'] Exploring Operation: 24+25=49, Resulting Numbers: [49] 49,49 equal: Goal Reached
4
[ 83, 4, 90, 15 ]
13
[ "90-83=7", "4*7=28", "28-15=13" ]
Current State: 13:[83, 4, 90, 15], Operations: [] Exploring Operation: 90-83=7, Resulting Numbers: [4, 15, 7] Generated Node #2: [4, 15, 7] from Operation: 90-83=7 Current State: 13:[4, 15, 7], Operations: ['90-83=7'] Exploring Operation: 4*7=28, Resulting Numbers: [15, 28] Generated Node #3: [15, 28] from Operation: 4*7=28 Current State: 13:[15, 28], Operations: ['90-83=7', '4*7=28'] Exploring Operation: 28-15=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 80, 17, 86, 69 ]
92
[ "80-17=63", "86+69=155", "155-63=92" ]
Current State: 92:[80, 17, 86, 69], Operations: [] Exploring Operation: 80-17=63, Resulting Numbers: [86, 69, 63] Generated Node #2: [86, 69, 63] from Operation: 80-17=63 Current State: 92:[86, 69, 63], Operations: ['80-17=63'] Exploring Operation: 86+69=155, Resulting Numbers: [63, 155] Generated Node #3: [63, 155] from Operation: 86+69=155 Current State: 92:[63, 155], Operations: ['80-17=63', '86+69=155'] Exploring Operation: 155-63=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
[ 5, 84, 79, 54 ]
89
[ "79-54=25", "25/5=5", "84+5=89" ]
Current State: 89:[5, 84, 79, 54], Operations: [] Exploring Operation: 79-54=25, Resulting Numbers: [5, 84, 25] Generated Node #2: [5, 84, 25] from Operation: 79-54=25 Current State: 89:[5, 84, 25], Operations: ['79-54=25'] Exploring Operation: 25/5=5, Resulting Numbers: [84, 5] Generated Node #3: [84, 5] from Operation: 25/5=5 Current State: 89:[84, 5], Operations: ['79-54=25', '25/5=5'] Exploring Operation: 84+5=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
[ 59, 94, 20, 36 ]
97
[ "59+94=153", "20+36=56", "153-56=97" ]
Current State: 97:[59, 94, 20, 36], Operations: [] Exploring Operation: 59+94=153, Resulting Numbers: [20, 36, 153] Generated Node #2: [20, 36, 153] from Operation: 59+94=153 Current State: 97:[20, 36, 153], Operations: ['59+94=153'] Exploring Operation: 20+36=56, Resulting Numbers: [153, 56] Generated Node #3: [153, 56] from Operation: 20+36=56 Current State: 97:[153, 56], Operations: ['59+94=153', '20+36=56'] Exploring Operation: 153-56=97, Resulting Numbers: [97] 97,97 equal: Goal Reached
4
[ 85, 3, 21, 84 ]
62
[ "85-84=1", "3*21=63", "63-1=62" ]
Current State: 62:[85, 3, 21, 84], Operations: [] Exploring Operation: 85-84=1, Resulting Numbers: [3, 21, 1] Generated Node #2: [3, 21, 1] from Operation: 85-84=1 Current State: 62:[3, 21, 1], Operations: ['85-84=1'] Exploring Operation: 3*21=63, Resulting Numbers: [1, 63] Generated Node #3: [1, 63] from Operation: 3*21=63 Current State: 62:[1, 63], Operations: ['85-84=1', '3*21=63'] Exploring Operation: 63-1=62, Resulting Numbers: [62] 62,62 equal: Goal Reached
4
[ 31, 55, 38, 30 ]
32
[ "55-31=24", "38-30=8", "24+8=32" ]
Current State: 32:[31, 55, 38, 30], Operations: [] Exploring Operation: 55-31=24, Resulting Numbers: [38, 30, 24] Generated Node #2: [38, 30, 24] from Operation: 55-31=24 Current State: 32:[38, 30, 24], Operations: ['55-31=24'] Exploring Operation: 38-30=8, Resulting Numbers: [24, 8] Generated Node #3: [24, 8] from Operation: 38-30=8 Current State: 32:[24, 8], Operations: ['55-31=24', '38-30=8'] Exploring Operation: 24+8=32, Resulting Numbers: [32] 32,32 equal: Goal Reached
4
[ 46, 68, 17, 21 ]
88
[ "68-46=22", "21-17=4", "22*4=88" ]
Current State: 88:[46, 68, 17, 21], Operations: [] Exploring Operation: 68-46=22, Resulting Numbers: [17, 21, 22] Generated Node #2: [17, 21, 22] from Operation: 68-46=22 Current State: 88:[17, 21, 22], Operations: ['68-46=22'] Exploring Operation: 21-17=4, Resulting Numbers: [22, 4] Generated Node #3: [22, 4] from Operation: 21-17=4 Current State: 88:[22, 4], Operations: ['68-46=22', '21-17=4'] Exploring Operation: 22*4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 15, 92, 54, 93 ]
39
[ "54-15=39", "93-92=1", "39*1=39" ]
Current State: 39:[15, 92, 54, 93], Operations: [] Exploring Operation: 54-15=39, Resulting Numbers: [92, 93, 39] Generated Node #2: [92, 93, 39] from Operation: 54-15=39 Current State: 39:[92, 93, 39], Operations: ['54-15=39'] Exploring Operation: 93-92=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 93-92=1 Current State: 39:[39, 1], Operations: ['54-15=39', '93-92=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 36, 51, 28, 99 ]
86
[ "51-36=15", "99-28=71", "15+71=86" ]
Current State: 86:[36, 51, 28, 99], Operations: [] Exploring Operation: 51-36=15, Resulting Numbers: [28, 99, 15] Generated Node #2: [28, 99, 15] from Operation: 51-36=15 Current State: 86:[28, 99, 15], Operations: ['51-36=15'] Exploring Operation: 99-28=71, Resulting Numbers: [15, 71] Generated Node #3: [15, 71] from Operation: 99-28=71 Current State: 86:[15, 71], Operations: ['51-36=15', '99-28=71'] Exploring Operation: 15+71=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
[ 38, 88, 70, 18 ]
63
[ "38+88=126", "126/18=7", "70-7=63" ]
Current State: 63:[38, 88, 70, 18], Operations: [] Exploring Operation: 38+88=126, Resulting Numbers: [70, 18, 126] Generated Node #2: [70, 18, 126] from Operation: 38+88=126 Current State: 63:[70, 18, 126], Operations: ['38+88=126'] Exploring Operation: 126/18=7, Resulting Numbers: [70, 7] Generated Node #3: [70, 7] from Operation: 126/18=7 Current State: 63:[70, 7], Operations: ['38+88=126', '126/18=7'] Exploring Operation: 70-7=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 8, 16, 47, 44 ]
72
[ "8+16=24", "47-44=3", "24*3=72" ]
Current State: 72:[8, 16, 47, 44], Operations: [] Exploring Operation: 8+16=24, Resulting Numbers: [47, 44, 24] Generated Node #2: [47, 44, 24] from Operation: 8+16=24 Current State: 72:[47, 44, 24], Operations: ['8+16=24'] Exploring Operation: 47-44=3, Resulting Numbers: [24, 3] Generated Node #3: [24, 3] from Operation: 47-44=3 Current State: 72:[24, 3], Operations: ['8+16=24', '47-44=3'] Exploring Operation: 24*3=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
[ 35, 34, 46, 8 ]
31
[ "35+34=69", "46-8=38", "69-38=31" ]
Current State: 31:[35, 34, 46, 8], Operations: [] Exploring Operation: 35+34=69, Resulting Numbers: [46, 8, 69] Generated Node #2: [46, 8, 69] from Operation: 35+34=69 Current State: 31:[46, 8, 69], Operations: ['35+34=69'] Exploring Operation: 46-8=38, Resulting Numbers: [69, 38] Generated Node #3: [69, 38] from Operation: 46-8=38 Current State: 31:[69, 38], Operations: ['35+34=69', '46-8=38'] Exploring Operation: 69-38=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
[ 28, 88, 20, 16 ]
44
[ "28-20=8", "88*8=704", "704/16=44" ]
Current State: 44:[28, 88, 20, 16], Operations: [] Exploring Operation: 28-20=8, Resulting Numbers: [88, 16, 8] Generated Node #2: [88, 16, 8] from Operation: 28-20=8 Current State: 44:[88, 16, 8], Operations: ['28-20=8'] Exploring Operation: 88*8=704, Resulting Numbers: [16, 704] Generated Node #3: [16, 704] from Operation: 88*8=704 Current State: 44:[16, 704], Operations: ['28-20=8', '88*8=704'] Exploring Operation: 704/16=44, Resulting Numbers: [44] 44,44 equal: Goal Reached
4
[ 80, 2, 48, 89 ]
41
[ "80+2=82", "89-48=41", "82-41=41" ]
Current State: 41:[80, 2, 48, 89], Operations: [] Exploring Operation: 80+2=82, Resulting Numbers: [48, 89, 82] Generated Node #2: [48, 89, 82] from Operation: 80+2=82 Current State: 41:[48, 89, 82], Operations: ['80+2=82'] Exploring Operation: 89-48=41, Resulting Numbers: [82, 41] Generated Node #3: [82, 41] from Operation: 89-48=41 Current State: 41:[82, 41], Operations: ['80+2=82', '89-48=41'] Exploring Operation: 82-41=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 20, 50, 70, 1 ]
100
[ "50-20=30", "70*1=70", "30+70=100" ]
Current State: 100:[20, 50, 70, 1], Operations: [] Exploring Operation: 50-20=30, Resulting Numbers: [70, 1, 30] Generated Node #2: [70, 1, 30] from Operation: 50-20=30 Current State: 100:[70, 1, 30], Operations: ['50-20=30'] Exploring Operation: 70*1=70, Resulting Numbers: [30, 70] Generated Node #3: [30, 70] from Operation: 70*1=70 Current State: 100:[30, 70], Operations: ['50-20=30', '70*1=70'] Exploring Operation: 30+70=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
[ 61, 62, 61, 36 ]
26
[ "61+62=123", "61+36=97", "123-97=26" ]
Current State: 26:[61, 62, 61, 36], Operations: [] Exploring Operation: 61+62=123, Resulting Numbers: [36, 123] Generated Node #2: [36, 123] from Operation: 61+62=123 Current State: 26:[36, 123], Operations: ['61+62=123'] Exploring Operation: 61+36=97, Resulting Numbers: [123, 97] Generated Node #3: [123, 97] from Operation: 61+36=97 Current State: 26:[123, 97], Operations: ['61+62=123', '61+36=97'] Exploring Operation: 123-97=26, Resulting Numbers: [26] 26,26 equal: Goal Reached
4
[ 72, 40, 46, 35 ]
23
[ "46-40=6", "72/6=12", "35-12=23" ]
Current State: 23:[72, 40, 46, 35], Operations: [] Exploring Operation: 46-40=6, Resulting Numbers: [72, 35, 6] Generated Node #2: [72, 35, 6] from Operation: 46-40=6 Current State: 23:[72, 35, 6], Operations: ['46-40=6'] Exploring Operation: 72/6=12, Resulting Numbers: [35, 12] Generated Node #3: [35, 12] from Operation: 72/6=12 Current State: 23:[35, 12], Operations: ['46-40=6', '72/6=12'] Exploring Operation: 35-12=23, Resulting Numbers: [23] 23,23 equal: Goal Reached
4
[ 99, 30, 45, 81 ]
93
[ "99+30=129", "81-45=36", "129-36=93" ]
Current State: 93:[99, 30, 45, 81], Operations: [] Exploring Operation: 99+30=129, Resulting Numbers: [45, 81, 129] Generated Node #2: [45, 81, 129] from Operation: 99+30=129 Current State: 93:[45, 81, 129], Operations: ['99+30=129'] Exploring Operation: 81-45=36, Resulting Numbers: [129, 36] Generated Node #3: [129, 36] from Operation: 81-45=36 Current State: 93:[129, 36], Operations: ['99+30=129', '81-45=36'] Exploring Operation: 129-36=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
[ 23, 5, 10, 21 ]
88
[ "23+21=44", "10/5=2", "44*2=88" ]
Current State: 88:[23, 5, 10, 21], Operations: [] Exploring Operation: 23+21=44, Resulting Numbers: [5, 10, 44] Generated Node #2: [5, 10, 44] from Operation: 23+21=44 Current State: 88:[5, 10, 44], Operations: ['23+21=44'] Exploring Operation: 10/5=2, Resulting Numbers: [44, 2] Generated Node #3: [44, 2] from Operation: 10/5=2 Current State: 88:[44, 2], Operations: ['23+21=44', '10/5=2'] Exploring Operation: 44*2=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
[ 6, 67, 30, 48 ]
29
[ "48/6=8", "67-30=37", "37-8=29" ]
Current State: 29:[6, 67, 30, 48], Operations: [] Exploring Operation: 48/6=8, Resulting Numbers: [67, 30, 8] Generated Node #2: [67, 30, 8] from Operation: 48/6=8 Current State: 29:[67, 30, 8], Operations: ['48/6=8'] Exploring Operation: 67-30=37, Resulting Numbers: [8, 37] Generated Node #3: [8, 37] from Operation: 67-30=37 Current State: 29:[8, 37], Operations: ['48/6=8', '67-30=37'] Exploring Operation: 37-8=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 23, 55, 95, 20 ]
21
[ "95-55=40", "40/20=2", "23-2=21" ]
Current State: 21:[23, 55, 95, 20], Operations: [] Exploring Operation: 95-55=40, Resulting Numbers: [23, 20, 40] Generated Node #2: [23, 20, 40] from Operation: 95-55=40 Current State: 21:[23, 20, 40], Operations: ['95-55=40'] Exploring Operation: 40/20=2, Resulting Numbers: [23, 2] Generated Node #3: [23, 2] from Operation: 40/20=2 Current State: 21:[23, 2], Operations: ['95-55=40', '40/20=2'] Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
[ 13, 92, 33, 5 ]
38
[ "92+33=125", "125/5=25", "13+25=38" ]
Current State: 38:[13, 92, 33, 5], Operations: [] Exploring Operation: 92+33=125, Resulting Numbers: [13, 5, 125] Generated Node #2: [13, 5, 125] from Operation: 92+33=125 Current State: 38:[13, 5, 125], Operations: ['92+33=125'] Exploring Operation: 125/5=25, Resulting Numbers: [13, 25] Generated Node #3: [13, 25] from Operation: 125/5=25 Current State: 38:[13, 25], Operations: ['92+33=125', '125/5=25'] Exploring Operation: 13+25=38, Resulting Numbers: [38] 38,38 equal: Goal Reached
4
[ 75, 3, 41, 64 ]
76
[ "75+41=116", "3*64=192", "192-116=76" ]
Current State: 76:[75, 3, 41, 64], Operations: [] Exploring Operation: 75+41=116, Resulting Numbers: [3, 64, 116] Generated Node #2: [3, 64, 116] from Operation: 75+41=116 Current State: 76:[3, 64, 116], Operations: ['75+41=116'] Exploring Operation: 3*64=192, Resulting Numbers: [116, 192] Generated Node #3: [116, 192] from Operation: 3*64=192 Current State: 76:[116, 192], Operations: ['75+41=116', '3*64=192'] Exploring Operation: 192-116=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
[ 9, 3, 71, 19 ]
55
[ "9/3=3", "71-19=52", "3+52=55" ]
Current State: 55:[9, 3, 71, 19], Operations: [] Exploring Operation: 9/3=3, Resulting Numbers: [71, 19, 3] Generated Node #2: [71, 19, 3] from Operation: 9/3=3 Current State: 55:[71, 19, 3], Operations: ['9/3=3'] Exploring Operation: 71-19=52, Resulting Numbers: [3, 52] Generated Node #3: [3, 52] from Operation: 71-19=52 Current State: 55:[3, 52], Operations: ['9/3=3', '71-19=52'] Exploring Operation: 3+52=55, Resulting Numbers: [55] 55,55 equal: Goal Reached
4
[ 3, 88, 43, 11 ]
70
[ "43+11=54", "54/3=18", "88-18=70" ]
Current State: 70:[3, 88, 43, 11], Operations: [] Exploring Operation: 43+11=54, Resulting Numbers: [3, 88, 54] Generated Node #2: [3, 88, 54] from Operation: 43+11=54 Current State: 70:[3, 88, 54], Operations: ['43+11=54'] Exploring Operation: 54/3=18, Resulting Numbers: [88, 18] Generated Node #3: [88, 18] from Operation: 54/3=18 Current State: 70:[88, 18], Operations: ['43+11=54', '54/3=18'] Exploring Operation: 88-18=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 55, 80, 40, 47 ]
30
[ "55-47=8", "80/8=10", "40-10=30" ]
Current State: 30:[55, 80, 40, 47], Operations: [] Exploring Operation: 55-47=8, Resulting Numbers: [80, 40, 8] Generated Node #2: [80, 40, 8] from Operation: 55-47=8 Current State: 30:[80, 40, 8], Operations: ['55-47=8'] Exploring Operation: 80/8=10, Resulting Numbers: [40, 10] Generated Node #3: [40, 10] from Operation: 80/8=10 Current State: 30:[40, 10], Operations: ['55-47=8', '80/8=10'] Exploring Operation: 40-10=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
[ 52, 27, 85, 4 ]
96
[ "52*4=208", "27+85=112", "208-112=96" ]
Current State: 96:[52, 27, 85, 4], Operations: [] Exploring Operation: 52*4=208, Resulting Numbers: [27, 85, 208] Generated Node #2: [27, 85, 208] from Operation: 52*4=208 Current State: 96:[27, 85, 208], Operations: ['52*4=208'] Exploring Operation: 27+85=112, Resulting Numbers: [208, 112] Generated Node #3: [208, 112] from Operation: 27+85=112 Current State: 96:[208, 112], Operations: ['52*4=208', '27+85=112'] Exploring Operation: 208-112=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 57, 13, 56, 37 ]
63
[ "57-13=44", "56-37=19", "44+19=63" ]
Current State: 63:[57, 13, 56, 37], Operations: [] Exploring Operation: 57-13=44, Resulting Numbers: [56, 37, 44] Generated Node #2: [56, 37, 44] from Operation: 57-13=44 Current State: 63:[56, 37, 44], Operations: ['57-13=44'] Exploring Operation: 56-37=19, Resulting Numbers: [44, 19] Generated Node #3: [44, 19] from Operation: 56-37=19 Current State: 63:[44, 19], Operations: ['57-13=44', '56-37=19'] Exploring Operation: 44+19=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 77, 8, 6, 76 ]
47
[ "77-76=1", "8*6=48", "48-1=47" ]
Current State: 47:[77, 8, 6, 76], Operations: [] Exploring Operation: 77-76=1, Resulting Numbers: [8, 6, 1] Generated Node #2: [8, 6, 1] from Operation: 77-76=1 Current State: 47:[8, 6, 1], Operations: ['77-76=1'] Exploring Operation: 8*6=48, Resulting Numbers: [1, 48] Generated Node #3: [1, 48] from Operation: 8*6=48 Current State: 47:[1, 48], Operations: ['77-76=1', '8*6=48'] Exploring Operation: 48-1=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
[ 9, 19, 60, 2 ]
99
[ "60/2=30", "30-19=11", "9*11=99" ]
Current State: 99:[9, 19, 60, 2], Operations: [] Exploring Operation: 60/2=30, Resulting Numbers: [9, 19, 30] Generated Node #2: [9, 19, 30] from Operation: 60/2=30 Current State: 99:[9, 19, 30], Operations: ['60/2=30'] Exploring Operation: 30-19=11, Resulting Numbers: [9, 11] Generated Node #3: [9, 11] from Operation: 30-19=11 Current State: 99:[9, 11], Operations: ['60/2=30', '30-19=11'] Exploring Operation: 9*11=99, Resulting Numbers: [99] 99,99 equal: Goal Reached
4
[ 52, 32, 60, 60 ]
64
[ "60-52=8", "32/8=4", "60+4=64" ]
Current State: 64:[52, 32, 60, 60], Operations: [] Exploring Operation: 60-52=8, Resulting Numbers: [32, 8] Generated Node #2: [32, 8] from Operation: 60-52=8 Current State: 64:[32, 8], Operations: ['60-52=8'] Exploring Operation: 32/8=4, Resulting Numbers: [4] 4,64 equal: Goal Reached Exploring Operation: 60+4=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
[ 73, 64, 20, 60 ]
71
[ "73-64=9", "20+60=80", "80-9=71" ]
Current State: 71:[73, 64, 20, 60], Operations: [] Exploring Operation: 73-64=9, Resulting Numbers: [20, 60, 9] Generated Node #2: [20, 60, 9] from Operation: 73-64=9 Current State: 71:[20, 60, 9], Operations: ['73-64=9'] Exploring Operation: 20+60=80, Resulting Numbers: [9, 80] Generated Node #3: [9, 80] from Operation: 20+60=80 Current State: 71:[9, 80], Operations: ['73-64=9', '20+60=80'] Exploring Operation: 80-9=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
[ 54, 23, 50, 53 ]
39
[ "54-50=4", "23*4=92", "92-53=39" ]
Current State: 39:[54, 23, 50, 53], Operations: [] Exploring Operation: 54-50=4, Resulting Numbers: [23, 53, 4] Generated Node #2: [23, 53, 4] from Operation: 54-50=4 Current State: 39:[23, 53, 4], Operations: ['54-50=4'] Exploring Operation: 23*4=92, Resulting Numbers: [53, 92] Generated Node #3: [53, 92] from Operation: 23*4=92 Current State: 39:[53, 92], Operations: ['54-50=4', '23*4=92'] Exploring Operation: 92-53=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
[ 28, 24, 51, 2 ]
70
[ "51-28=23", "2*23=46", "24+46=70" ]
Current State: 70:[28, 24, 51, 2], Operations: [] Exploring Operation: 51-28=23, Resulting Numbers: [24, 2, 23] Generated Node #2: [24, 2, 23] from Operation: 51-28=23 Current State: 70:[24, 2, 23], Operations: ['51-28=23'] Exploring Operation: 2*23=46, Resulting Numbers: [24, 46] Generated Node #3: [24, 46] from Operation: 2*23=46 Current State: 70:[24, 46], Operations: ['51-28=23', '2*23=46'] Exploring Operation: 24+46=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
[ 87, 32, 23, 59 ]
11
[ "32*23=736", "736-87=649", "649/59=11" ]
Current State: 11:[87, 32, 23, 59], Operations: [] Exploring Operation: 32*23=736, Resulting Numbers: [87, 59, 736] Generated Node #2: [87, 59, 736] from Operation: 32*23=736 Current State: 11:[87, 59, 736], Operations: ['32*23=736'] Exploring Operation: 736-87=649, Resulting Numbers: [59, 649] Generated Node #3: [59, 649] from Operation: 736-87=649 Current State: 11:[59, 649], Operations: ['32*23=736', '736-87=649'] Exploring Operation: 649/59=11, Resulting Numbers: [11] 11,11 equal: Goal Reached
4
[ 90, 91, 57, 28 ]
96
[ "90+91=181", "57+28=85", "181-85=96" ]
Current State: 96:[90, 91, 57, 28], Operations: [] Exploring Operation: 90+91=181, Resulting Numbers: [57, 28, 181] Generated Node #2: [57, 28, 181] from Operation: 90+91=181 Current State: 96:[57, 28, 181], Operations: ['90+91=181'] Exploring Operation: 57+28=85, Resulting Numbers: [181, 85] Generated Node #3: [181, 85] from Operation: 57+28=85 Current State: 96:[181, 85], Operations: ['90+91=181', '57+28=85'] Exploring Operation: 181-85=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
[ 1, 89, 39, 65 ]
63
[ "1*89=89", "65-39=26", "89-26=63" ]
Current State: 63:[1, 89, 39, 65], Operations: [] Exploring Operation: 1*89=89, Resulting Numbers: [39, 65, 89] Generated Node #2: [39, 65, 89] from Operation: 1*89=89 Current State: 63:[39, 65, 89], Operations: ['1*89=89'] Exploring Operation: 65-39=26, Resulting Numbers: [89, 26] Generated Node #3: [89, 26] from Operation: 65-39=26 Current State: 63:[89, 26], Operations: ['1*89=89', '65-39=26'] Exploring Operation: 89-26=63, Resulting Numbers: [63] 63,63 equal: Goal Reached
4
[ 19, 38, 87, 25 ]
37
[ "38/19=2", "25*2=50", "87-50=37" ]
Current State: 37:[19, 38, 87, 25], Operations: [] Exploring Operation: 38/19=2, Resulting Numbers: [87, 25, 2] Generated Node #2: [87, 25, 2] from Operation: 38/19=2 Current State: 37:[87, 25, 2], Operations: ['38/19=2'] Exploring Operation: 25*2=50, Resulting Numbers: [87, 50] Generated Node #3: [87, 50] from Operation: 25*2=50 Current State: 37:[87, 50], Operations: ['38/19=2', '25*2=50'] Exploring Operation: 87-50=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
[ 61, 2, 49, 47 ]
41
[ "61-49=12", "12/2=6", "47-6=41" ]
Current State: 41:[61, 2, 49, 47], Operations: [] Exploring Operation: 61-49=12, Resulting Numbers: [2, 47, 12] Generated Node #2: [2, 47, 12] from Operation: 61-49=12 Current State: 41:[2, 47, 12], Operations: ['61-49=12'] Exploring Operation: 12/2=6, Resulting Numbers: [47, 6] Generated Node #3: [47, 6] from Operation: 12/2=6 Current State: 41:[47, 6], Operations: ['61-49=12', '12/2=6'] Exploring Operation: 47-6=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 36, 23, 63, 64 ]
13
[ "36-23=13", "64-63=1", "13*1=13" ]
Current State: 13:[36, 23, 63, 64], Operations: [] Exploring Operation: 36-23=13, Resulting Numbers: [63, 64, 13] Generated Node #2: [63, 64, 13] from Operation: 36-23=13 Current State: 13:[63, 64, 13], Operations: ['36-23=13'] Exploring Operation: 64-63=1, Resulting Numbers: [13, 1] Generated Node #3: [13, 1] from Operation: 64-63=1 Current State: 13:[13, 1], Operations: ['36-23=13', '64-63=1'] Exploring Operation: 13*1=13, Resulting Numbers: [13] 13,13 equal: Goal Reached
4
[ 55, 78, 87, 12 ]
52
[ "78-55=23", "87-12=75", "75-23=52" ]
Current State: 52:[55, 78, 87, 12], Operations: [] Exploring Operation: 78-55=23, Resulting Numbers: [87, 12, 23] Generated Node #2: [87, 12, 23] from Operation: 78-55=23 Current State: 52:[87, 12, 23], Operations: ['78-55=23'] Exploring Operation: 87-12=75, Resulting Numbers: [23, 75] Generated Node #3: [23, 75] from Operation: 87-12=75 Current State: 52:[23, 75], Operations: ['78-55=23', '87-12=75'] Exploring Operation: 75-23=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
[ 18, 25, 3, 53 ]
66
[ "53-25=28", "3*28=84", "84-18=66" ]
Current State: 66:[18, 25, 3, 53], Operations: [] Exploring Operation: 53-25=28, Resulting Numbers: [18, 3, 28] Generated Node #2: [18, 3, 28] from Operation: 53-25=28 Current State: 66:[18, 3, 28], Operations: ['53-25=28'] Exploring Operation: 3*28=84, Resulting Numbers: [18, 84] Generated Node #3: [18, 84] from Operation: 3*28=84 Current State: 66:[18, 84], Operations: ['53-25=28', '3*28=84'] Exploring Operation: 84-18=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
[ 79, 7, 10, 47 ]
29
[ "79+7=86", "10+47=57", "86-57=29" ]
Current State: 29:[79, 7, 10, 47], Operations: [] Exploring Operation: 79+7=86, Resulting Numbers: [10, 47, 86] Generated Node #2: [10, 47, 86] from Operation: 79+7=86 Current State: 29:[10, 47, 86], Operations: ['79+7=86'] Exploring Operation: 10+47=57, Resulting Numbers: [86, 57] Generated Node #3: [86, 57] from Operation: 10+47=57 Current State: 29:[86, 57], Operations: ['79+7=86', '10+47=57'] Exploring Operation: 86-57=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
[ 37, 95, 42, 31 ]
69
[ "95-37=58", "42-31=11", "58+11=69" ]
Current State: 69:[37, 95, 42, 31], Operations: [] Exploring Operation: 95-37=58, Resulting Numbers: [42, 31, 58] Generated Node #2: [42, 31, 58] from Operation: 95-37=58 Current State: 69:[42, 31, 58], Operations: ['95-37=58'] Exploring Operation: 42-31=11, Resulting Numbers: [58, 11] Generated Node #3: [58, 11] from Operation: 42-31=11 Current State: 69:[58, 11], Operations: ['95-37=58', '42-31=11'] Exploring Operation: 58+11=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
[ 32, 53, 54, 10 ]
41
[ "32+53=85", "54-10=44", "85-44=41" ]
Current State: 41:[32, 53, 54, 10], Operations: [] Exploring Operation: 32+53=85, Resulting Numbers: [54, 10, 85] Generated Node #2: [54, 10, 85] from Operation: 32+53=85 Current State: 41:[54, 10, 85], Operations: ['32+53=85'] Exploring Operation: 54-10=44, Resulting Numbers: [85, 44] Generated Node #3: [85, 44] from Operation: 54-10=44 Current State: 41:[85, 44], Operations: ['32+53=85', '54-10=44'] Exploring Operation: 85-44=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
[ 7, 59, 3, 51 ]
60
[ "7*51=357", "357/3=119", "119-59=60" ]
Current State: 60:[7, 59, 3, 51], Operations: [] Exploring Operation: 7*51=357, Resulting Numbers: [59, 3, 357] Generated Node #2: [59, 3, 357] from Operation: 7*51=357 Current State: 60:[59, 3, 357], Operations: ['7*51=357'] Exploring Operation: 357/3=119, Resulting Numbers: [59, 119] Generated Node #3: [59, 119] from Operation: 357/3=119 Current State: 60:[59, 119], Operations: ['7*51=357', '357/3=119'] Exploring Operation: 119-59=60, Resulting Numbers: [60] 60,60 equal: Goal Reached
4
[ 79, 76, 90, 19 ]
46
[ "79+76=155", "90+19=109", "155-109=46" ]
Current State: 46:[79, 76, 90, 19], Operations: [] Exploring Operation: 79+76=155, Resulting Numbers: [90, 19, 155] Generated Node #2: [90, 19, 155] from Operation: 79+76=155 Current State: 46:[90, 19, 155], Operations: ['79+76=155'] Exploring Operation: 90+19=109, Resulting Numbers: [155, 109] Generated Node #3: [155, 109] from Operation: 90+19=109 Current State: 46:[155, 109], Operations: ['79+76=155', '90+19=109'] Exploring Operation: 155-109=46, Resulting Numbers: [46] 46,46 equal: Goal Reached
4