Datasets:
Parallel-Reasoning
/
sosp_sft_data

Dataset card Data Studio Files
xet
 Community
nums
listlengths
4
4
target
int64
10
100
solution
listlengths
3
3
optimal_path
stringlengths
282
529
start_size
int64
4
4
search_path
stringlengths
505
16.8k
rating
float64
0
0.99
search_type
stringclasses
5 values
heuristic
stringclasses
2 values
[ 73, 72, 70, 42 ]
86
[ "73-70=3", "42/3=14", "72+14=86" ]
Current State: 86:[73, 72, 70, 42], Operations: [] Exploring Operation: 73-70=3, Resulting Numbers: [72, 42, 3] Generated Node #2: [72, 42, 3] from Operation: 73-70=3 Current State: 86:[72, 42, 3], Operations: ['73-70=3'] Exploring Operation: 42/3=14, Resulting Numbers: [72, 14] Generated Node #3: [72, 14] from Operation: 42/3=14 Current State: 86:[72, 14], Operations: ['73-70=3', '42/3=14'] Exploring Operation: 72+14=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[73, 72, 70, 42], Operations: [] Exploring Operation: 73-42=31, Resulting Numbers: [72, 70, 31] Generated Node #0,0: 86:[72, 70, 31] Operation: 73-42=31 Exploring Operation: 73-70=3, Resulting Numbers: [72, 42, 3] Generated Node #0,1: 86:[72, 42, 3] Operation: 73-70=3 Exploring Operation: 73-72=1, Resulting Numbers: [70, 42, 1] Generated Node #0,2: 86:[70, 42, 1] Operation: 73-72=1 Exploring Operation: 72-42=30, Resulting Numbers: [73, 70, 30] Generated Node #0,3: 86:[73, 70, 30] Operation: 72-42=30 Exploring Operation: 72-70=2, Resulting Numbers: [73, 42, 2] Generated Node #0,4: 86:[73, 42, 2] Operation: 72-70=2 Start Sub Search at level 1: Moving to Node #0,4 Current State: 86:[73, 42, 2], Operations: ['72-70=2'] Exploring Operation: 73+2=75, Resulting Numbers: [42, 75] Generated Node #0,4,0: 86:[42, 75] Operation: 73+2=75 Exploring Operation: 73-42=31, Resulting Numbers: [2, 31] Generated Node #0,4,1: 86:[2, 31] Operation: 73-42=31 Exploring Operation: 42*2=84, Resulting Numbers: [73, 84] Generated Node #0,4,2: 86:[73, 84] Operation: 42*2=84 Exploring Operation: 42+2=44, Resulting Numbers: [73, 44] Generated Node #0,4,3: 86:[73, 44] Operation: 42+2=44 Exploring Operation: 73-2=71, Resulting Numbers: [42, 71] Generated Node #0,4,4: 86:[42, 71] Operation: 73-2=71 Moving to Node #0,4,0 Current State: 86:[42, 75], Operations: ['72-70=2', '73+2=75'] Exploring Operation: 42+75=117, Resulting Numbers: [117] 117,86 unequal: No Solution Exploring Operation: 42*75=3150, Resulting Numbers: [3150] 3150,86 unequal: No Solution Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,86 unequal: No Solution Moving to Node #0,4,1 Current State: 86:[2, 31], Operations: ['72-70=2', '73-42=31'] Exploring Operation: 2*31=62, Resulting Numbers: [62] 62,86 unequal: No Solution Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,86 unequal: No Solution Exploring Operation: 2+31=33, Resulting Numbers: [33] 33,86 unequal: No Solution Moving to Node #0,4,3 Current State: 86:[73, 44], Operations: ['72-70=2', '42+2=44'] Exploring Operation: 73-44=29, Resulting Numbers: [29] 29,86 unequal: No Solution Exploring Operation: 73*44=3212, Resulting Numbers: [3212] 3212,86 unequal: No Solution Exploring Operation: 73+44=117, Resulting Numbers: [117] 117,86 unequal: No Solution Moving to Node #0,4,2 Current State: 86:[73, 84], Operations: ['72-70=2', '42*2=84'] Exploring Operation: 84-73=11, Resulting Numbers: [11] 11,86 unequal: No Solution Exploring Operation: 73*84=6132, Resulting Numbers: [6132] 6132,86 unequal: No Solution Exploring Operation: 73+84=157, Resulting Numbers: [157] 157,86 unequal: No Solution Moving to Node #0,4,4 Current State: 86:[42, 71], Operations: ['72-70=2', '73-2=71'] Exploring Operation: 42*71=2982, Resulting Numbers: [2982] 2982,86 unequal: No Solution Exploring Operation: 42+71=113, Resulting Numbers: [113] 113,86 unequal: No Solution Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 86:[72, 42, 3], Operations: ['73-70=3'] Exploring Operation: 42+3=45, Resulting Numbers: [72, 45] Generated Node #0,1,0: 86:[72, 45] Operation: 42+3=45 Exploring Operation: 72+3=75, Resulting Numbers: [42, 75] Generated Node #0,1,1: 86:[42, 75] Operation: 72+3=75 Exploring Operation: 72-42=30, Resulting Numbers: [3, 30] Generated Node #0,1,2: 86:[3, 30] Operation: 72-42=30 Exploring Operation: 42-3=39, Resulting Numbers: [72, 39] Generated Node #0,1,3: 86:[72, 39] Operation: 42-3=39 Exploring Operation: 72-3=69, Resulting Numbers: [42, 69] Generated Node #0,1,4: 86:[42, 69] Operation: 72-3=69 Moving to Node #0,1,1 Current State: 86:[42, 75], Operations: ['73-70=3', '72+3=75'] Exploring Operation: 42+75=117, Resulting Numbers: [117] 117,86 unequal: No Solution Exploring Operation: 42*75=3150, Resulting Numbers: [3150] 3150,86 unequal: No Solution Exploring Operation: 75-42=33, Resulting Numbers: [33] 33,86 unequal: No Solution Moving to Node #0,1,2 Current State: 86:[3, 30], Operations: ['73-70=3', '72-42=30'] Exploring Operation: 3+30=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,86 unequal: No Solution Exploring Operation: 3*30=90, Resulting Numbers: [90] 90,86 unequal: No Solution Moving to Node #0,1,0 Current State: 86:[72, 45], Operations: ['73-70=3', '42+3=45'] Exploring Operation: 72+45=117, Resulting Numbers: [117] 117,86 unequal: No Solution Exploring Operation: 72-45=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 72*45=3240, Resulting Numbers: [3240] 3240,86 unequal: No Solution Moving to Node #0,1,3 Current State: 86:[72, 39], Operations: ['73-70=3', '42-3=39'] Exploring Operation: 72+39=111, Resulting Numbers: [111] 111,86 unequal: No Solution Exploring Operation: 72*39=2808, Resulting Numbers: [2808] 2808,86 unequal: No Solution Exploring Operation: 72-39=33, Resulting Numbers: [33] 33,86 unequal: No Solution Moving to Node #0,1,4 Current State: 86:[42, 69], Operations: ['73-70=3', '72-3=69'] Exploring Operation: 42*69=2898, Resulting Numbers: [2898] 2898,86 unequal: No Solution Exploring Operation: 69-42=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 42+69=111, Resulting Numbers: [111] 111,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 86:[70, 42, 1], Operations: ['73-72=1'] Exploring Operation: 42+1=43, Resulting Numbers: [70, 43] Generated Node #0,2,0: 86:[70, 43] Operation: 42+1=43 Exploring Operation: 70-42=28, Resulting Numbers: [1, 28] Generated Node #0,2,1: 86:[1, 28] Operation: 70-42=28 Exploring Operation: 70*1=70, Resulting Numbers: [42, 70] Generated Node #0,2,2: 86:[42, 70] Operation: 70*1=70 Exploring Operation: 70+1=71, Resulting Numbers: [42, 71] Generated Node #0,2,3: 86:[42, 71] Operation: 70+1=71 Exploring Operation: 70/1=70, Resulting Numbers: [42, 70] Generated Node #0,2,4: 86:[42, 70] Operation: 70/1=70 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 86:[70, 43], Operations: ['73-72=1', '42+1=43'] Exploring Operation: 70+43=113, Resulting Numbers: [113] 113,86 unequal: No Solution Exploring Operation: 70-43=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 70*43=3010, Resulting Numbers: [3010] 3010,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 86:[1, 28], Operations: ['73-72=1', '70-42=28'] Exploring Operation: 1*28=28, Resulting Numbers: [28] 28,86 unequal: No Solution Exploring Operation: 28/1=28, Resulting Numbers: [28] 28,86 unequal: No Solution Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 1+28=29, Resulting Numbers: [29] 29,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 86:[42, 71], Operations: ['73-72=1', '70+1=71'] Exploring Operation: 71-42=29, Resulting Numbers: [29] 29,86 unequal: No Solution Exploring Operation: 42*71=2982, Resulting Numbers: [2982] 2982,86 unequal: No Solution Exploring Operation: 42+71=113, Resulting Numbers: [113] 113,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 86:[42, 70], Operations: ['73-72=1', '70*1=70'] Exploring Operation: 42+70=112, Resulting Numbers: [112] 112,86 unequal: No Solution Exploring Operation: 42*70=2940, Resulting Numbers: [2940] 2940,86 unequal: No Solution Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 86:[42, 70], Operations: ['73-72=1', '70/1=70'] Exploring Operation: 42+70=112, Resulting Numbers: [112] 112,86 unequal: No Solution Exploring Operation: 42*70=2940, Resulting Numbers: [2940] 2940,86 unequal: No Solution Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 86:[72, 70, 31], Operations: ['73-42=31'] Exploring Operation: 72+31=103, Resulting Numbers: [70, 103] Generated Node #0,0,0: 86:[70, 103] Operation: 72+31=103 Exploring Operation: 72-31=41, Resulting Numbers: [70, 41] Generated Node #0,0,1: 86:[70, 41] Operation: 72-31=41 Exploring Operation: 70+31=101, Resulting Numbers: [72, 101] Generated Node #0,0,2: 86:[72, 101] Operation: 70+31=101 Exploring Operation: 70-31=39, Resulting Numbers: [72, 39] Generated Node #0,0,3: 86:[72, 39] Operation: 70-31=39 Exploring Operation: 72-70=2, Resulting Numbers: [31, 2] Generated Node #0,0,4: 86:[31, 2] Operation: 72-70=2 Moving to Node #0,0,4 Current State: 86:[31, 2], Operations: ['73-42=31', '72-70=2'] Exploring Operation: 31-2=29, Resulting Numbers: [29] 29,86 unequal: No Solution Exploring Operation: 31+2=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 31*2=62, Resulting Numbers: [62] 62,86 unequal: No Solution Moving to Node #0,0,3 Current State: 86:[72, 39], Operations: ['73-42=31', '70-31=39'] Exploring Operation: 72*39=2808, Resulting Numbers: [2808] 2808,86 unequal: No Solution Exploring Operation: 72-39=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 72+39=111, Resulting Numbers: [111] 111,86 unequal: No Solution Moving to Node #0,0,1 Current State: 86:[70, 41], Operations: ['73-42=31', '72-31=41'] Exploring Operation: 70-41=29, Resulting Numbers: [29] 29,86 unequal: No Solution Exploring Operation: 70*41=2870, Resulting Numbers: [2870] 2870,86 unequal: No Solution Exploring Operation: 70+41=111, Resulting Numbers: [111] 111,86 unequal: No Solution Moving to Node #0,0,2 Current State: 86:[72, 101], Operations: ['73-42=31', '70+31=101'] Exploring Operation: 101-72=29, Resulting Numbers: [29] 29,86 unequal: No Solution Exploring Operation: 72*101=7272, Resulting Numbers: [7272] 7272,86 unequal: No Solution Exploring Operation: 72+101=173, Resulting Numbers: [173] 173,86 unequal: No Solution Moving to Node #0,0,0 Current State: 86:[70, 103], Operations: ['73-42=31', '72+31=103'] Exploring Operation: 70+103=173, Resulting Numbers: [173] 173,86 unequal: No Solution Exploring Operation: 103-70=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 70*103=7210, Resulting Numbers: [7210] 7210,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 86:[73, 70, 30], Operations: ['72-42=30'] Exploring Operation: 70+30=100, Resulting Numbers: [73, 100] Generated Node #0,3,0: 86:[73, 100] Operation: 70+30=100 Exploring Operation: 73-70=3, Resulting Numbers: [30, 3] Generated Node #0,3,1: 86:[30, 3] Operation: 73-70=3 Exploring Operation: 73-30=43, Resulting Numbers: [70, 43] Generated Node #0,3,2: 86:[70, 43] Operation: 73-30=43 Exploring Operation: 73+30=103, Resulting Numbers: [70, 103] Generated Node #0,3,3: 86:[70, 103] Operation: 73+30=103 Exploring Operation: 70-30=40, Resulting Numbers: [73, 40] Generated Node #0,3,4: 86:[73, 40] Operation: 70-30=40 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 86:[30, 3], Operations: ['72-42=30', '73-70=3'] Exploring Operation: 30-3=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,86 unequal: No Solution Exploring Operation: 30/3=10, Resulting Numbers: [10] 10,86 unequal: No Solution Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 86:[70, 43], Operations: ['72-42=30', '73-30=43'] Exploring Operation: 70*43=3010, Resulting Numbers: [3010] 3010,86 unequal: No Solution Exploring Operation: 70-43=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 70+43=113, Resulting Numbers: [113] 113,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 86:[73, 40], Operations: ['72-42=30', '70-30=40'] Exploring Operation: 73+40=113, Resulting Numbers: [113] 113,86 unequal: No Solution Exploring Operation: 73-40=33, Resulting Numbers: [33] 33,86 unequal: No Solution Exploring Operation: 73*40=2920, Resulting Numbers: [2920] 2920,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 86:[73, 100], Operations: ['72-42=30', '70+30=100'] Exploring Operation: 73+100=173, Resulting Numbers: [173] 173,86 unequal: No Solution Exploring Operation: 100-73=27, Resulting Numbers: [27] 27,86 unequal: No Solution Exploring Operation: 73*100=7300, Resulting Numbers: [7300] 7300,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 86:[70, 103], Operations: ['72-42=30', '73+30=103'] Exploring Operation: 70*103=7210, Resulting Numbers: [7210] 7210,86 unequal: No Solution Exploring Operation: 70+103=173, Resulting Numbers: [173] 173,86 unequal: No Solution Exploring Operation: 103-70=33, Resulting Numbers: [33] 33,86 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 23, 37, 96, 97 ]
94
[ "97-23=74", "74/37=2", "96-2=94" ]
Current State: 94:[23, 37, 96, 97], Operations: [] Exploring Operation: 97-23=74, Resulting Numbers: [37, 96, 74] Generated Node #2: [37, 96, 74] from Operation: 97-23=74 Current State: 94:[37, 96, 74], Operations: ['97-23=74'] Exploring Operation: 74/37=2, Resulting Numbers: [96, 2] Generated Node #3: [96, 2] from Operation: 74/37=2 Current State: 94:[96, 2], Operations: ['97-23=74', '74/37=2'] Exploring Operation: 96-2=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[23, 37, 96, 97], Operations: [] Exploring Operation: 37-23=14, Resulting Numbers: [96, 97, 14] Generated Node #0,0: 94:[96, 97, 14] Operation: 37-23=14 Exploring Operation: 23+37=60, Resulting Numbers: [96, 97, 60] Generated Node #0,1: 94:[96, 97, 60] Operation: 23+37=60 Moving to Node #0,0 Current State: 94:[96, 97, 14], Operations: ['37-23=14'] Exploring Operation: 97-96=1, Resulting Numbers: [14, 1] Generated Node #0,0,0: 94:[14, 1] Operation: 97-96=1 Exploring Operation: 97-14=83, Resulting Numbers: [96, 83] Generated Node #0,0,1: 94:[96, 83] Operation: 97-14=83 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 94:[14, 1], Operations: ['37-23=14', '97-96=1'] Exploring Operation: 14-1=13, Resulting Numbers: [13] 13,94 unequal: No Solution Exploring Operation: 14*1=14, Resulting Numbers: [14] 14,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 94:[96, 83], Operations: ['37-23=14', '97-14=83'] Exploring Operation: 96+83=179, Resulting Numbers: [179] 179,94 unequal: No Solution Exploring Operation: 96-83=13, Resulting Numbers: [13] 13,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 94:[96, 97, 60], Operations: ['23+37=60'] Exploring Operation: 97-96=1, Resulting Numbers: [60, 1] Generated Node #0,1,0: 94:[60, 1] Operation: 97-96=1 Exploring Operation: 97-60=37, Resulting Numbers: [96, 37] Generated Node #0,1,1: 94:[96, 37] Operation: 97-60=37 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 94:[96, 37], Operations: ['23+37=60', '97-60=37'] Exploring Operation: 96+37=133, Resulting Numbers: [133] 133,94 unequal: No Solution Exploring Operation: 96-37=59, Resulting Numbers: [59] 59,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 94:[60, 1], Operations: ['23+37=60', '97-96=1'] Exploring Operation: 60*1=60, Resulting Numbers: [60] 60,94 unequal: No Solution Exploring Operation: 60-1=59, Resulting Numbers: [59] 59,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 6, 2, 78, 34 ]
70
[ "78-6=72", "72/2=36", "34+36=70" ]
Current State: 70:[6, 2, 78, 34], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [2, 34, 72] Generated Node #2: [2, 34, 72] from Operation: 78-6=72 Current State: 70:[2, 34, 72], Operations: ['78-6=72'] Exploring Operation: 72/2=36, Resulting Numbers: [34, 36] Generated Node #3: [34, 36] from Operation: 72/2=36 Current State: 70:[34, 36], Operations: ['78-6=72', '72/2=36'] Exploring Operation: 34+36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[6, 2, 78, 34], Operations: [] Exploring Operation: 78-2=76, Resulting Numbers: [6, 34, 76] Generated Node #0,0: 70:[6, 34, 76] Operation: 78-2=76 Exploring Operation: 78/2=39, Resulting Numbers: [6, 34, 39] Generated Node #0,1: 70:[6, 34, 39] Operation: 78/2=39 Exploring Operation: 6+2=8, Resulting Numbers: [78, 34, 8] Generated Node #0,2: 70:[78, 34, 8] Operation: 6+2=8 Exploring Operation: 78/6=13, Resulting Numbers: [2, 34, 13] Generated Node #0,3: 70:[2, 34, 13] Operation: 78/6=13 Exploring Operation: 78-6=72, Resulting Numbers: [2, 34, 72] Generated Node #0,4: 70:[2, 34, 72] Operation: 78-6=72 Moving to Node #0,3 Current State: 70:[2, 34, 13], Operations: ['78/6=13'] Exploring Operation: 2*34=68, Resulting Numbers: [13, 68] Generated Node #0,3,0: 70:[13, 68] Operation: 2*34=68 Exploring Operation: 13-2=11, Resulting Numbers: [34, 11] Generated Node #0,3,1: 70:[34, 11] Operation: 13-2=11 Exploring Operation: 2+34=36, Resulting Numbers: [13, 36] Generated Node #0,3,2: 70:[13, 36] Operation: 2+34=36 Exploring Operation: 2+13=15, Resulting Numbers: [34, 15] Generated Node #0,3,3: 70:[34, 15] Operation: 2+13=15 Exploring Operation: 34-2=32, Resulting Numbers: [13, 32] Generated Node #0,3,4: 70:[13, 32] Operation: 34-2=32 Moving to Node #0,4 Current State: 70:[2, 34, 72], Operations: ['78-6=72'] Exploring Operation: 72-34=38, Resulting Numbers: [2, 38] Generated Node #0,4,0: 70:[2, 38] Operation: 72-34=38 Exploring Operation: 72/2=36, Resulting Numbers: [34, 36] Generated Node #0,4,1: 70:[34, 36] Operation: 72/2=36 Exploring Operation: 2*34=68, Resulting Numbers: [72, 68] Generated Node #0,4,2: 70:[72, 68] Operation: 2*34=68 Exploring Operation: 2+34=36, Resulting Numbers: [72, 36] Generated Node #0,4,3: 70:[72, 36] Operation: 2+34=36 Exploring Operation: 72-2=70, Resulting Numbers: [34, 70] Generated Node #0,4,4: 70:[34, 70] Operation: 72-2=70 Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 70:[34, 70], Operations: ['78-6=72', '72-2=70'] Exploring Operation: 70-34=36, Resulting Numbers: [36] 36,70 unequal: No Solution Exploring Operation: 34+70=104, Resulting Numbers: [104] 104,70 unequal: No Solution Exploring Operation: 34*70=2380, Resulting Numbers: [2380] 2380,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 70:[34, 36], Operations: ['78-6=72', '72/2=36'] Exploring Operation: 34+36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[6, 2, 78, 34], Operations: [] Exploring Operation: 78-6=72, Resulting Numbers: [2, 34, 72] Generated Node #0,4: 70:[2, 34, 72] Operation: 78-6=72 Moving to Node #0,4 Current State: 70:[2, 34, 72], Operations: ['78-6=72'] Exploring Operation: 72/2=36, Resulting Numbers: [34, 36] Generated Node #0,4,1: 70:[34, 36] Operation: 72/2=36 Moving to Node #0,4,1 Current State: 70:[34, 36], Operations: ['78-6=72', '72/2=36'] Exploring Operation: 34+36=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Exit Sub Search at level 1
0.980035
hs_5
sum_heuristic
[ 28, 26, 70, 45 ]
27
[ "28-26=2", "70-45=25", "2+25=27" ]
Current State: 27:[28, 26, 70, 45], Operations: [] Exploring Operation: 28-26=2, Resulting Numbers: [70, 45, 2] Generated Node #2: [70, 45, 2] from Operation: 28-26=2 Current State: 27:[70, 45, 2], Operations: ['28-26=2'] Exploring Operation: 70-45=25, Resulting Numbers: [2, 25] Generated Node #3: [2, 25] from Operation: 70-45=25 Current State: 27:[2, 25], Operations: ['28-26=2', '70-45=25'] Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,27 equal: Goal Reached
4
Current State: 27:[28, 26, 70, 45], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [28, 26, 25] Generated Node #0,0: 27:[28, 26, 25] Operation: 70-45=25 Exploring Operation: 70-26=44, Resulting Numbers: [28, 45, 44] Generated Node #0,1: 27:[28, 45, 44] Operation: 70-26=44 Exploring Operation: 70-28=42, Resulting Numbers: [26, 45, 42] Generated Node #0,2: 27:[26, 45, 42] Operation: 70-28=42 Start Sub Search at level 1: Moving to Node #0,0 Current State: 27:[28, 26, 25], Operations: ['70-45=25'] Exploring Operation: 26-25=1, Resulting Numbers: [28, 1] Generated Node #0,0,0: 27:[28, 1] Operation: 26-25=1 Exploring Operation: 28-26=2, Resulting Numbers: [25, 2] Generated Node #0,0,1: 27:[25, 2] Operation: 28-26=2 Exploring Operation: 28-25=3, Resulting Numbers: [26, 3] Generated Node #0,0,2: 27:[26, 3] Operation: 28-25=3 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 27:[26, 3], Operations: ['70-45=25', '28-25=3'] Exploring Operation: 26*3=78, Resulting Numbers: [78] 78,27 unequal: No Solution Exploring Operation: 26-3=23, Resulting Numbers: [23] 23,27 unequal: No Solution Exploring Operation: 26+3=29, Resulting Numbers: [29] 29,27 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 27:[28, 1], Operations: ['70-45=25', '26-25=1'] Exploring Operation: 28*1=28, Resulting Numbers: [28] 28,27 unequal: No Solution Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Moving to Node #0 Current State: 27:[28, 26, 70, 45], Operations: [] Exploring Operation: 70-45=25, Resulting Numbers: [28, 26, 25] Generated Node #0,0: 27:[28, 26, 25] Operation: 70-45=25 Moving to Node #0,0 Current State: 27:[28, 26, 25], Operations: ['70-45=25'] Exploring Operation: 26-25=1, Resulting Numbers: [28, 1] Generated Node #0,0,0: 27:[28, 1] Operation: 26-25=1 Moving to Node #0,0,0 Current State: 27:[28, 1], Operations: ['70-45=25', '26-25=1'] Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,27 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_3
mult_heuristic
[ 10, 27, 6, 13 ]
30
[ "10+27=37", "13-6=7", "37-7=30" ]
Current State: 30:[10, 27, 6, 13], Operations: [] Exploring Operation: 10+27=37, Resulting Numbers: [6, 13, 37] Generated Node #2: [6, 13, 37] from Operation: 10+27=37 Current State: 30:[6, 13, 37], Operations: ['10+27=37'] Exploring Operation: 13-6=7, Resulting Numbers: [37, 7] Generated Node #3: [37, 7] from Operation: 13-6=7 Current State: 30:[37, 7], Operations: ['10+27=37', '13-6=7'] Exploring Operation: 37-7=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[10, 27, 6, 13], Operations: [] Exploring Operation: 27-10=17, Resulting Numbers: [6, 13, 17] Generated Node #0,0: 30:[6, 13, 17] Operation: 27-10=17 Exploring Operation: 13-6=7, Resulting Numbers: [10, 27, 7] Generated Node #0,1: 30:[10, 27, 7] Operation: 13-6=7 Exploring Operation: 13-10=3, Resulting Numbers: [27, 6, 3] Generated Node #0,2: 30:[27, 6, 3] Operation: 13-10=3 Exploring Operation: 27-13=14, Resulting Numbers: [10, 6, 14] Generated Node #0,3: 30:[10, 6, 14] Operation: 27-13=14 Exploring Operation: 27+6=33, Resulting Numbers: [10, 13, 33] Generated Node #0,4: 30:[10, 13, 33] Operation: 27+6=33 Moving to Node #0,3 Current State: 30:[10, 6, 14], Operations: ['27-13=14'] Exploring Operation: 10+6=16, Resulting Numbers: [14, 16] Generated Node #0,3,0: 30:[14, 16] Operation: 10+6=16 Exploring Operation: 6+14=20, Resulting Numbers: [10, 20] Generated Node #0,3,1: 30:[10, 20] Operation: 6+14=20 Exploring Operation: 10-6=4, Resulting Numbers: [14, 4] Generated Node #0,3,2: 30:[14, 4] Operation: 10-6=4 Exploring Operation: 14-10=4, Resulting Numbers: [6, 4] Generated Node #0,3,3: 30:[6, 4] Operation: 14-10=4 Exploring Operation: 14-6=8, Resulting Numbers: [10, 8] Generated Node #0,3,4: 30:[10, 8] Operation: 14-6=8 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 30:[6, 4], Operations: ['27-13=14', '14-10=4'] Exploring Operation: 6-4=2, Resulting Numbers: [2] 2,30 unequal: No Solution Exploring Operation: 6*4=24, Resulting Numbers: [24] 24,30 unequal: No Solution Exploring Operation: 6+4=10, Resulting Numbers: [10] 10,30 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 30:[14, 16], Operations: ['27-13=14', '10+6=16'] Exploring Operation: 14*16=224, Resulting Numbers: [224] 224,30 unequal: No Solution Exploring Operation: 16-14=2, Resulting Numbers: [2] 2,30 unequal: No Solution Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[10, 27, 6, 13], Operations: [] Exploring Operation: 27-13=14, Resulting Numbers: [10, 6, 14] Generated Node #0,3: 30:[10, 6, 14] Operation: 27-13=14 Moving to Node #0,3 Current State: 30:[10, 6, 14], Operations: ['27-13=14'] Exploring Operation: 10+6=16, Resulting Numbers: [14, 16] Generated Node #0,3,0: 30:[14, 16] Operation: 10+6=16 Moving to Node #0,3,0 Current State: 30:[14, 16], Operations: ['27-13=14', '10+6=16'] Exploring Operation: 14+16=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1
0.982639
hs_5
sum_heuristic
[ 44, 26, 3, 48 ]
92
[ "48-44=4", "26-3=23", "4*23=92" ]
Current State: 92:[44, 26, 3, 48], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [26, 3, 4] Generated Node #2: [26, 3, 4] from Operation: 48-44=4 Current State: 92:[26, 3, 4], Operations: ['48-44=4'] Exploring Operation: 26-3=23, Resulting Numbers: [4, 23] Generated Node #3: [4, 23] from Operation: 26-3=23 Current State: 92:[4, 23], Operations: ['48-44=4', '26-3=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached
4
Current State: 92:[44, 26, 3, 48], Operations: [] Exploring Operation: 44+48=92, Resulting Numbers: [26, 3, 92] Generated Node #0,0: 92:[26, 3, 92] Operation: 44+48=92 Exploring Operation: 48-44=4, Resulting Numbers: [26, 3, 4] Generated Node #0,1: 92:[26, 3, 4] Operation: 48-44=4 Start Sub Search at level 1: Moving to Node #0,0 Current State: 92:[26, 3, 92], Operations: ['44+48=92'] Exploring Operation: 26-3=23, Resulting Numbers: [92, 23] Generated Node #0,0,0: 92:[92, 23] Operation: 26-3=23 Exploring Operation: 26+3=29, Resulting Numbers: [92, 29] Generated Node #0,0,1: 92:[92, 29] Operation: 26+3=29 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 92:[92, 23], Operations: ['44+48=92', '26-3=23'] Exploring Operation: 92/23=4, Resulting Numbers: [4] 4,92 unequal: No Solution Exploring Operation: 92+23=115, Resulting Numbers: [115] 115,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 92:[92, 29], Operations: ['44+48=92', '26+3=29'] Exploring Operation: 92-29=63, Resulting Numbers: [63] 63,92 unequal: No Solution Exploring Operation: 92+29=121, Resulting Numbers: [121] 121,92 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 92:[26, 3, 4], Operations: ['48-44=4'] Exploring Operation: 26-3=23, Resulting Numbers: [4, 23] Generated Node #0,1,0: 92:[4, 23] Operation: 26-3=23 Exploring Operation: 26-4=22, Resulting Numbers: [3, 22] Generated Node #0,1,1: 92:[3, 22] Operation: 26-4=22 Moving to Node #0,1,0 Current State: 92:[4, 23], Operations: ['48-44=4', '26-3=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Moving to Node #0 Current State: 92:[44, 26, 3, 48], Operations: [] Exploring Operation: 48-44=4, Resulting Numbers: [26, 3, 4] Generated Node #0,1: 92:[26, 3, 4] Operation: 48-44=4 Moving to Node #0,1 Current State: 92:[26, 3, 4], Operations: ['48-44=4'] Exploring Operation: 26-3=23, Resulting Numbers: [4, 23] Generated Node #0,1,0: 92:[4, 23] Operation: 26-3=23 Moving to Node #0,1,0 Current State: 92:[4, 23], Operations: ['48-44=4', '26-3=23'] Exploring Operation: 4*23=92, Resulting Numbers: [92] 92,92 equal: Goal Reached Exit Sub Search at level 1
0.986979
hs_2
mult_heuristic
[ 82, 37, 8, 68 ]
31
[ "82-37=45", "8+68=76", "76-45=31" ]
Current State: 31:[82, 37, 8, 68], Operations: [] Exploring Operation: 82-37=45, Resulting Numbers: [8, 68, 45] Generated Node #2: [8, 68, 45] from Operation: 82-37=45 Current State: 31:[8, 68, 45], Operations: ['82-37=45'] Exploring Operation: 8+68=76, Resulting Numbers: [45, 76] Generated Node #3: [45, 76] from Operation: 8+68=76 Current State: 31:[45, 76], Operations: ['82-37=45', '8+68=76'] Exploring Operation: 76-45=31, Resulting Numbers: [31] 31,31 equal: Goal Reached
4
Current State: 31:[82, 37, 8, 68], Operations: [] Exploring Operation: 68-8=60, Resulting Numbers: [82, 37, 60] Generated Node #0,0: 31:[82, 37, 60] Operation: 68-8=60 Exploring Operation: 82-37=45, Resulting Numbers: [8, 68, 45] Generated Node #0,1: 31:[8, 68, 45] Operation: 82-37=45 Exploring Operation: 82-8=74, Resulting Numbers: [37, 68, 74] Generated Node #0,2: 31:[37, 68, 74] Operation: 82-8=74 Exploring Operation: 68-37=31, Resulting Numbers: [82, 8, 31] Generated Node #0,3: 31:[82, 8, 31] Operation: 68-37=31 Exploring Operation: 82-68=14, Resulting Numbers: [37, 8, 14] Generated Node #0,4: 31:[37, 8, 14] Operation: 82-68=14 Moving to Node #0,4 Current State: 31:[37, 8, 14], Operations: ['82-68=14'] Exploring Operation: 37-14=23, Resulting Numbers: [8, 23] Generated Node #0,4,0: 31:[8, 23] Operation: 37-14=23 Exploring Operation: 37+8=45, Resulting Numbers: [14, 45] Generated Node #0,4,1: 31:[14, 45] Operation: 37+8=45 Exploring Operation: 8+14=22, Resulting Numbers: [37, 22] Generated Node #0,4,2: 31:[37, 22] Operation: 8+14=22 Exploring Operation: 14-8=6, Resulting Numbers: [37, 6] Generated Node #0,4,3: 31:[37, 6] Operation: 14-8=6 Exploring Operation: 37-8=29, Resulting Numbers: [14, 29] Generated Node #0,4,4: 31:[14, 29] Operation: 37-8=29 Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 31:[37, 22], Operations: ['82-68=14', '8+14=22'] Exploring Operation: 37*22=814, Resulting Numbers: [814] 814,31 unequal: No Solution Exploring Operation: 37+22=59, Resulting Numbers: [59] 59,31 unequal: No Solution Exploring Operation: 37-22=15, Resulting Numbers: [15] 15,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 31:[14, 29], Operations: ['82-68=14', '37-8=29'] Exploring Operation: 14+29=43, Resulting Numbers: [43] 43,31 unequal: No Solution Exploring Operation: 14*29=406, Resulting Numbers: [406] 406,31 unequal: No Solution Exploring Operation: 29-14=15, Resulting Numbers: [15] 15,31 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 31:[8, 23], Operations: ['82-68=14', '37-14=23'] Exploring Operation: 8+23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Moving to Node #0 Current State: 31:[82, 37, 8, 68], Operations: [] Exploring Operation: 82-68=14, Resulting Numbers: [37, 8, 14] Generated Node #0,4: 31:[37, 8, 14] Operation: 82-68=14 Moving to Node #0,4 Current State: 31:[37, 8, 14], Operations: ['82-68=14'] Exploring Operation: 37-14=23, Resulting Numbers: [8, 23] Generated Node #0,4,0: 31:[8, 23] Operation: 37-14=23 Moving to Node #0,4,0 Current State: 31:[8, 23], Operations: ['82-68=14', '37-14=23'] Exploring Operation: 8+23=31, Resulting Numbers: [31] 31,31 equal: Goal Reached Exit Sub Search at level 1
0.981771
hs_5
sum_heuristic
[ 60, 2, 73, 86 ]
21
[ "86-60=26", "2*26=52", "73-52=21" ]
Current State: 21:[60, 2, 73, 86], Operations: [] Exploring Operation: 86-60=26, Resulting Numbers: [2, 73, 26] Generated Node #2: [2, 73, 26] from Operation: 86-60=26 Current State: 21:[2, 73, 26], Operations: ['86-60=26'] Exploring Operation: 2*26=52, Resulting Numbers: [73, 52] Generated Node #3: [73, 52] from Operation: 2*26=52 Current State: 21:[73, 52], Operations: ['86-60=26', '2*26=52'] Exploring Operation: 73-52=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[60, 2, 73, 86], Operations: [] Exploring Operation: 86-73=13, Resulting Numbers: [60, 2, 13] Generated Node #0,0: 21:[60, 2, 13] Operation: 86-73=13 Exploring Operation: 86-60=26, Resulting Numbers: [2, 73, 26] Generated Node #0,1: 21:[2, 73, 26] Operation: 86-60=26 Moving to Node #0,0 Current State: 21:[60, 2, 13], Operations: ['86-73=13'] Exploring Operation: 60/2=30, Resulting Numbers: [13, 30] Generated Node #0,0,0: 21:[13, 30] Operation: 60/2=30 Exploring Operation: 60-13=47, Resulting Numbers: [2, 47] Generated Node #0,0,1: 21:[2, 47] Operation: 60-13=47 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 21:[13, 30], Operations: ['86-73=13', '60/2=30'] Exploring Operation: 30-13=17, Resulting Numbers: [17] 17,21 unequal: No Solution Exploring Operation: 13+30=43, Resulting Numbers: [43] 43,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 21:[2, 47], Operations: ['86-73=13', '60-13=47'] Exploring Operation: 2+47=49, Resulting Numbers: [49] 49,21 unequal: No Solution Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 21:[2, 73, 26], Operations: ['86-60=26'] Exploring Operation: 73-2=71, Resulting Numbers: [26, 71] Generated Node #0,1,0: 21:[26, 71] Operation: 73-2=71 Exploring Operation: 73-26=47, Resulting Numbers: [2, 47] Generated Node #0,1,1: 21:[2, 47] Operation: 73-26=47 Moving to Node #0,1,1 Current State: 21:[2, 47], Operations: ['86-60=26', '73-26=47'] Exploring Operation: 47-2=45, Resulting Numbers: [45] 45,21 unequal: No Solution Exploring Operation: 2+47=49, Resulting Numbers: [49] 49,21 unequal: No Solution Moving to Node #0,1,0 Current State: 21:[26, 71], Operations: ['86-60=26', '73-2=71'] Exploring Operation: 26+71=97, Resulting Numbers: [97] 97,21 unequal: No Solution Exploring Operation: 71-26=45, Resulting Numbers: [45] 45,21 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 57, 7, 82, 29 ]
64
[ "57+82=139", "7*29=203", "203-139=64" ]
Current State: 64:[57, 7, 82, 29], Operations: [] Exploring Operation: 57+82=139, Resulting Numbers: [7, 29, 139] Generated Node #2: [7, 29, 139] from Operation: 57+82=139 Current State: 64:[7, 29, 139], Operations: ['57+82=139'] Exploring Operation: 7*29=203, Resulting Numbers: [139, 203] Generated Node #3: [139, 203] from Operation: 7*29=203 Current State: 64:[139, 203], Operations: ['57+82=139', '7*29=203'] Exploring Operation: 203-139=64, Resulting Numbers: [64] 64,64 equal: Goal Reached
4
Current State: 64:[57, 7, 82, 29], Operations: [] Exploring Operation: 82-29=53, Resulting Numbers: [57, 7, 53] Generated Node #0,0: 64:[57, 7, 53] Operation: 82-29=53 Exploring Operation: 57+7=64, Resulting Numbers: [82, 29, 64] Generated Node #0,1: 64:[82, 29, 64] Operation: 57+7=64 Exploring Operation: 82-7=75, Resulting Numbers: [57, 29, 75] Generated Node #0,2: 64:[57, 29, 75] Operation: 82-7=75 Exploring Operation: 57-29=28, Resulting Numbers: [7, 82, 28] Generated Node #0,3: 64:[7, 82, 28] Operation: 57-29=28 Exploring Operation: 82-57=25, Resulting Numbers: [7, 29, 25] Generated Node #0,4: 64:[7, 29, 25] Operation: 82-57=25 Start Sub Search at level 1: Moving to Node #0,4 Current State: 64:[7, 29, 25], Operations: ['82-57=25'] Exploring Operation: 25-7=18, Resulting Numbers: [29, 18] Generated Node #0,4,0: 64:[29, 18] Operation: 25-7=18 Exploring Operation: 7+25=32, Resulting Numbers: [29, 32] Generated Node #0,4,1: 64:[29, 32] Operation: 7+25=32 Exploring Operation: 29-25=4, Resulting Numbers: [7, 4] Generated Node #0,4,2: 64:[7, 4] Operation: 29-25=4 Exploring Operation: 29+25=54, Resulting Numbers: [7, 54] Generated Node #0,4,3: 64:[7, 54] Operation: 29+25=54 Exploring Operation: 7+29=36, Resulting Numbers: [25, 36] Generated Node #0,4,4: 64:[25, 36] Operation: 7+29=36 Moving to Node #0,4,2 Current State: 64:[7, 4], Operations: ['82-57=25', '29-25=4'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,64 unequal: No Solution Moving to Node #0,4,1 Current State: 64:[29, 32], Operations: ['82-57=25', '7+25=32'] Exploring Operation: 29+32=61, Resulting Numbers: [61] 61,64 unequal: No Solution Exploring Operation: 32-29=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 29*32=928, Resulting Numbers: [928] 928,64 unequal: No Solution Moving to Node #0,4,0 Current State: 64:[29, 18], Operations: ['82-57=25', '25-7=18'] Exploring Operation: 29*18=522, Resulting Numbers: [522] 522,64 unequal: No Solution Exploring Operation: 29+18=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,64 unequal: No Solution Moving to Node #0,4,3 Current State: 64:[7, 54], Operations: ['82-57=25', '29+25=54'] Exploring Operation: 7+54=61, Resulting Numbers: [61] 61,64 unequal: No Solution Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 7*54=378, Resulting Numbers: [378] 378,64 unequal: No Solution Moving to Node #0,4,4 Current State: 64:[25, 36], Operations: ['82-57=25', '7+29=36'] Exploring Operation: 25+36=61, Resulting Numbers: [61] 61,64 unequal: No Solution Exploring Operation: 25*36=900, Resulting Numbers: [900] 900,64 unequal: No Solution Exploring Operation: 36-25=11, Resulting Numbers: [11] 11,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 64:[57, 7, 53], Operations: ['82-29=53'] Exploring Operation: 7+53=60, Resulting Numbers: [57, 60] Generated Node #0,0,0: 64:[57, 60] Operation: 7+53=60 Exploring Operation: 57-53=4, Resulting Numbers: [7, 4] Generated Node #0,0,1: 64:[7, 4] Operation: 57-53=4 Exploring Operation: 53-7=46, Resulting Numbers: [57, 46] Generated Node #0,0,2: 64:[57, 46] Operation: 53-7=46 Exploring Operation: 57-7=50, Resulting Numbers: [53, 50] Generated Node #0,0,3: 64:[53, 50] Operation: 57-7=50 Exploring Operation: 57+7=64, Resulting Numbers: [53, 64] Generated Node #0,0,4: 64:[53, 64] Operation: 57+7=64 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 64:[7, 4], Operations: ['82-29=53', '57-53=4'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 7+4=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 7*4=28, Resulting Numbers: [28] 28,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 64:[57, 60], Operations: ['82-29=53', '7+53=60'] Exploring Operation: 60-57=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 57+60=117, Resulting Numbers: [117] 117,64 unequal: No Solution Exploring Operation: 57*60=3420, Resulting Numbers: [3420] 3420,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 64:[53, 64], Operations: ['82-29=53', '57+7=64'] Exploring Operation: 64-53=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 53+64=117, Resulting Numbers: [117] 117,64 unequal: No Solution Exploring Operation: 53*64=3392, Resulting Numbers: [3392] 3392,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 64:[57, 46], Operations: ['82-29=53', '53-7=46'] Exploring Operation: 57+46=103, Resulting Numbers: [103] 103,64 unequal: No Solution Exploring Operation: 57-46=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 57*46=2622, Resulting Numbers: [2622] 2622,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 64:[53, 50], Operations: ['82-29=53', '57-7=50'] Exploring Operation: 53*50=2650, Resulting Numbers: [2650] 2650,64 unequal: No Solution Exploring Operation: 53-50=3, Resulting Numbers: [3] 3,64 unequal: No Solution Exploring Operation: 53+50=103, Resulting Numbers: [103] 103,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 64:[82, 29, 64], Operations: ['57+7=64'] Exploring Operation: 82-64=18, Resulting Numbers: [29, 18] Generated Node #0,1,0: 64:[29, 18] Operation: 82-64=18 Exploring Operation: 29+64=93, Resulting Numbers: [82, 93] Generated Node #0,1,1: 64:[82, 93] Operation: 29+64=93 Exploring Operation: 64-29=35, Resulting Numbers: [82, 35] Generated Node #0,1,2: 64:[82, 35] Operation: 64-29=35 Exploring Operation: 82+29=111, Resulting Numbers: [64, 111] Generated Node #0,1,3: 64:[64, 111] Operation: 82+29=111 Exploring Operation: 82-29=53, Resulting Numbers: [64, 53] Generated Node #0,1,4: 64:[64, 53] Operation: 82-29=53 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 64:[29, 18], Operations: ['57+7=64', '82-64=18'] Exploring Operation: 29*18=522, Resulting Numbers: [522] 522,64 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 29+18=47, Resulting Numbers: [47] 47,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 64:[64, 53], Operations: ['57+7=64', '82-29=53'] Exploring Operation: 64+53=117, Resulting Numbers: [117] 117,64 unequal: No Solution Exploring Operation: 64*53=3392, Resulting Numbers: [3392] 3392,64 unequal: No Solution Exploring Operation: 64-53=11, Resulting Numbers: [11] 11,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 64:[82, 35], Operations: ['57+7=64', '64-29=35'] Exploring Operation: 82*35=2870, Resulting Numbers: [2870] 2870,64 unequal: No Solution Exploring Operation: 82+35=117, Resulting Numbers: [117] 117,64 unequal: No Solution Exploring Operation: 82-35=47, Resulting Numbers: [47] 47,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 64:[82, 93], Operations: ['57+7=64', '29+64=93'] Exploring Operation: 82+93=175, Resulting Numbers: [175] 175,64 unequal: No Solution Exploring Operation: 82*93=7626, Resulting Numbers: [7626] 7626,64 unequal: No Solution Exploring Operation: 93-82=11, Resulting Numbers: [11] 11,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 64:[64, 111], Operations: ['57+7=64', '82+29=111'] Exploring Operation: 64+111=175, Resulting Numbers: [175] 175,64 unequal: No Solution Exploring Operation: 64*111=7104, Resulting Numbers: [7104] 7104,64 unequal: No Solution Exploring Operation: 111-64=47, Resulting Numbers: [47] 47,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 64:[57, 29, 75], Operations: ['82-7=75'] Exploring Operation: 57-29=28, Resulting Numbers: [75, 28] Generated Node #0,2,0: 64:[75, 28] Operation: 57-29=28 Exploring Operation: 75-29=46, Resulting Numbers: [57, 46] Generated Node #0,2,1: 64:[57, 46] Operation: 75-29=46 Exploring Operation: 29+75=104, Resulting Numbers: [57, 104] Generated Node #0,2,2: 64:[57, 104] Operation: 29+75=104 Exploring Operation: 75-57=18, Resulting Numbers: [29, 18] Generated Node #0,2,3: 64:[29, 18] Operation: 75-57=18 Exploring Operation: 57+29=86, Resulting Numbers: [75, 86] Generated Node #0,2,4: 64:[75, 86] Operation: 57+29=86 Moving to Node #0,2,3 Current State: 64:[29, 18], Operations: ['82-7=75', '75-57=18'] Exploring Operation: 29*18=522, Resulting Numbers: [522] 522,64 unequal: No Solution Exploring Operation: 29+18=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 29-18=11, Resulting Numbers: [11] 11,64 unequal: No Solution Moving to Node #0,2,0 Current State: 64:[75, 28], Operations: ['82-7=75', '57-29=28'] Exploring Operation: 75*28=2100, Resulting Numbers: [2100] 2100,64 unequal: No Solution Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 75+28=103, Resulting Numbers: [103] 103,64 unequal: No Solution Moving to Node #0,2,1 Current State: 64:[57, 46], Operations: ['82-7=75', '75-29=46'] Exploring Operation: 57*46=2622, Resulting Numbers: [2622] 2622,64 unequal: No Solution Exploring Operation: 57+46=103, Resulting Numbers: [103] 103,64 unequal: No Solution Exploring Operation: 57-46=11, Resulting Numbers: [11] 11,64 unequal: No Solution Moving to Node #0,2,4 Current State: 64:[75, 86], Operations: ['82-7=75', '57+29=86'] Exploring Operation: 86-75=11, Resulting Numbers: [11] 11,64 unequal: No Solution Exploring Operation: 75*86=6450, Resulting Numbers: [6450] 6450,64 unequal: No Solution Exploring Operation: 75+86=161, Resulting Numbers: [161] 161,64 unequal: No Solution Moving to Node #0,2,2 Current State: 64:[57, 104], Operations: ['82-7=75', '29+75=104'] Exploring Operation: 57*104=5928, Resulting Numbers: [5928] 5928,64 unequal: No Solution Exploring Operation: 104-57=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 57+104=161, Resulting Numbers: [161] 161,64 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 64:[7, 82, 28], Operations: ['57-29=28'] Exploring Operation: 28/7=4, Resulting Numbers: [82, 4] Generated Node #0,3,0: 64:[82, 4] Operation: 28/7=4 Exploring Operation: 7+28=35, Resulting Numbers: [82, 35] Generated Node #0,3,1: 64:[82, 35] Operation: 7+28=35 Exploring Operation: 82-7=75, Resulting Numbers: [28, 75] Generated Node #0,3,2: 64:[28, 75] Operation: 82-7=75 Exploring Operation: 82-28=54, Resulting Numbers: [7, 54] Generated Node #0,3,3: 64:[7, 54] Operation: 82-28=54 Exploring Operation: 28-7=21, Resulting Numbers: [82, 21] Generated Node #0,3,4: 64:[82, 21] Operation: 28-7=21 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 64:[7, 54], Operations: ['57-29=28', '82-28=54'] Exploring Operation: 7*54=378, Resulting Numbers: [378] 378,64 unequal: No Solution Exploring Operation: 7+54=61, Resulting Numbers: [61] 61,64 unequal: No Solution Exploring Operation: 54-7=47, Resulting Numbers: [47] 47,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 64:[28, 75], Operations: ['57-29=28', '82-7=75'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 28+75=103, Resulting Numbers: [103] 103,64 unequal: No Solution Exploring Operation: 28*75=2100, Resulting Numbers: [2100] 2100,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 64:[82, 4], Operations: ['57-29=28', '28/7=4'] Exploring Operation: 82+4=86, Resulting Numbers: [86] 86,64 unequal: No Solution Exploring Operation: 82-4=78, Resulting Numbers: [78] 78,64 unequal: No Solution Exploring Operation: 82*4=328, Resulting Numbers: [328] 328,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 64:[82, 35], Operations: ['57-29=28', '7+28=35'] Exploring Operation: 82-35=47, Resulting Numbers: [47] 47,64 unequal: No Solution Exploring Operation: 82+35=117, Resulting Numbers: [117] 117,64 unequal: No Solution Exploring Operation: 82*35=2870, Resulting Numbers: [2870] 2870,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 64:[82, 21], Operations: ['57-29=28', '28-7=21'] Exploring Operation: 82*21=1722, Resulting Numbers: [1722] 1722,64 unequal: No Solution Exploring Operation: 82-21=61, Resulting Numbers: [61] 61,64 unequal: No Solution Exploring Operation: 82+21=103, Resulting Numbers: [103] 103,64 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 10, 2, 47, 46 ]
19
[ "10*2=20", "47-46=1", "20-1=19" ]
Current State: 19:[10, 2, 47, 46], Operations: [] Exploring Operation: 10*2=20, Resulting Numbers: [47, 46, 20] Generated Node #2: [47, 46, 20] from Operation: 10*2=20 Current State: 19:[47, 46, 20], Operations: ['10*2=20'] Exploring Operation: 47-46=1, Resulting Numbers: [20, 1] Generated Node #3: [20, 1] from Operation: 47-46=1 Current State: 19:[20, 1], Operations: ['10*2=20', '47-46=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[10, 2, 47, 46], Operations: [] Exploring Operation: 47-46=1, Resulting Numbers: [10, 2, 1] Generated Node #0,0: 19:[10, 2, 1] Operation: 47-46=1 Exploring Operation: 10*2=20, Resulting Numbers: [47, 46, 20] Generated Node #0,1: 19:[47, 46, 20] Operation: 10*2=20 Exploring Operation: 46/2=23, Resulting Numbers: [10, 47, 23] Generated Node #0,2: 19:[10, 47, 23] Operation: 46/2=23 Moving to Node #0,2 Current State: 19:[10, 47, 23], Operations: ['46/2=23'] Exploring Operation: 23-10=13, Resulting Numbers: [47, 13] Generated Node #0,2,0: 19:[47, 13] Operation: 23-10=13 Exploring Operation: 47-10=37, Resulting Numbers: [23, 37] Generated Node #0,2,1: 19:[23, 37] Operation: 47-10=37 Exploring Operation: 47-23=24, Resulting Numbers: [10, 24] Generated Node #0,2,2: 19:[10, 24] Operation: 47-23=24 Moving to Node #0,0 Current State: 19:[10, 2, 1], Operations: ['47-46=1'] Exploring Operation: 10*2=20, Resulting Numbers: [1, 20] Generated Node #0,0,0: 19:[1, 20] Operation: 10*2=20 Exploring Operation: 10+2=12, Resulting Numbers: [1, 12] Generated Node #0,0,1: 19:[1, 12] Operation: 10+2=12 Exploring Operation: 10+1=11, Resulting Numbers: [2, 11] Generated Node #0,0,2: 19:[2, 11] Operation: 10+1=11 Moving to Node #0,1 Current State: 19:[47, 46, 20], Operations: ['10*2=20'] Exploring Operation: 47-20=27, Resulting Numbers: [46, 27] Generated Node #0,1,0: 19:[46, 27] Operation: 47-20=27 Exploring Operation: 47-46=1, Resulting Numbers: [20, 1] Generated Node #0,1,1: 19:[20, 1] Operation: 47-46=1 Exploring Operation: 46-20=26, Resulting Numbers: [47, 26] Generated Node #0,1,2: 19:[47, 26] Operation: 46-20=26 Moving to Node #0,2,2 Current State: 19:[10, 24], Operations: ['46/2=23', '47-23=24'] Exploring Operation: 10*24=240, Resulting Numbers: [240] 240,19 unequal: No Solution Exploring Operation: 10+24=34, Resulting Numbers: [34] 34,19 unequal: No Solution Exploring Operation: 24-10=14, Resulting Numbers: [14] 14,19 unequal: No Solution Moving to Node #0,1,1 Current State: 19:[20, 1], Operations: ['10*2=20', '47-46=1'] Exploring Operation: 20/1=20, Resulting Numbers: [20] 20,19 unequal: No Solution Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[10, 2, 47, 46], Operations: [] Exploring Operation: 10*2=20, Resulting Numbers: [47, 46, 20] Generated Node #0,1: 19:[47, 46, 20] Operation: 10*2=20 Moving to Node #0,1 Current State: 19:[47, 46, 20], Operations: ['10*2=20'] Exploring Operation: 47-46=1, Resulting Numbers: [20, 1] Generated Node #0,1,1: 19:[20, 1] Operation: 47-46=1 Moving to Node #0,1,1 Current State: 19:[20, 1], Operations: ['10*2=20', '47-46=1'] Exploring Operation: 20-1=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
0.981771
hs_3
mult_heuristic
[ 13, 56, 33, 8 ]
81
[ "13*8=104", "56-33=23", "104-23=81" ]
Current State: 81:[13, 56, 33, 8], Operations: [] Exploring Operation: 13*8=104, Resulting Numbers: [56, 33, 104] Generated Node #2: [56, 33, 104] from Operation: 13*8=104 Current State: 81:[56, 33, 104], Operations: ['13*8=104'] Exploring Operation: 56-33=23, Resulting Numbers: [104, 23] Generated Node #3: [104, 23] from Operation: 56-33=23 Current State: 81:[104, 23], Operations: ['13*8=104', '56-33=23'] Exploring Operation: 104-23=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[13, 56, 33, 8], Operations: [] Exploring Operation: 56-33=23, Resulting Numbers: [13, 8, 23] Generated Node #0,0: 81:[13, 8, 23] Operation: 56-33=23 Exploring Operation: 56+33=89, Resulting Numbers: [13, 8, 89] Generated Node #0,1: 81:[13, 8, 89] Operation: 56+33=89 Exploring Operation: 13+56=69, Resulting Numbers: [33, 8, 69] Generated Node #0,2: 81:[33, 8, 69] Operation: 13+56=69 Exploring Operation: 56/8=7, Resulting Numbers: [13, 33, 7] Generated Node #0,3: 81:[13, 33, 7] Operation: 56/8=7 Start Sub Search at level 1: Moving to Node #0,0 Current State: 81:[13, 8, 23], Operations: ['56-33=23'] Exploring Operation: 13-8=5, Resulting Numbers: [23, 5] Generated Node #0,0,0: 81:[23, 5] Operation: 13-8=5 Exploring Operation: 8+23=31, Resulting Numbers: [13, 31] Generated Node #0,0,1: 81:[13, 31] Operation: 8+23=31 Exploring Operation: 23-13=10, Resulting Numbers: [8, 10] Generated Node #0,0,2: 81:[8, 10] Operation: 23-13=10 Exploring Operation: 13+8=21, Resulting Numbers: [23, 21] Generated Node #0,0,3: 81:[23, 21] Operation: 13+8=21 Moving to Node #0,0,2 Current State: 81:[8, 10], Operations: ['56-33=23', '23-13=10'] Exploring Operation: 8*10=80, Resulting Numbers: [80] 80,81 unequal: No Solution Exploring Operation: 10-8=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 8+10=18, Resulting Numbers: [18] 18,81 unequal: No Solution Moving to Node #0,0,0 Current State: 81:[23, 5], Operations: ['56-33=23', '13-8=5'] Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,81 unequal: No Solution Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,81 unequal: No Solution Exploring Operation: 23*5=115, Resulting Numbers: [115] 115,81 unequal: No Solution Moving to Node #0,0,1 Current State: 81:[13, 31], Operations: ['56-33=23', '8+23=31'] Exploring Operation: 13*31=403, Resulting Numbers: [403] 403,81 unequal: No Solution Exploring Operation: 13+31=44, Resulting Numbers: [44] 44,81 unequal: No Solution Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,81 unequal: No Solution Moving to Node #0,0,3 Current State: 81:[23, 21], Operations: ['56-33=23', '13+8=21'] Exploring Operation: 23*21=483, Resulting Numbers: [483] 483,81 unequal: No Solution Exploring Operation: 23-21=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 23+21=44, Resulting Numbers: [44] 44,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 81:[13, 33, 7], Operations: ['56/8=7'] Exploring Operation: 13+7=20, Resulting Numbers: [33, 20] Generated Node #0,3,0: 81:[33, 20] Operation: 13+7=20 Exploring Operation: 13-7=6, Resulting Numbers: [33, 6] Generated Node #0,3,1: 81:[33, 6] Operation: 13-7=6 Exploring Operation: 33-7=26, Resulting Numbers: [13, 26] Generated Node #0,3,2: 81:[13, 26] Operation: 33-7=26 Exploring Operation: 33-13=20, Resulting Numbers: [7, 20] Generated Node #0,3,3: 81:[7, 20] Operation: 33-13=20 Moving to Node #0,3,2 Current State: 81:[13, 26], Operations: ['56/8=7', '33-7=26'] Exploring Operation: 26-13=13, Resulting Numbers: [13] 13,81 unequal: No Solution Exploring Operation: 26/13=2, Resulting Numbers: [2] 2,81 unequal: No Solution Exploring Operation: 13+26=39, Resulting Numbers: [39] 39,81 unequal: No Solution Exploring Operation: 13*26=338, Resulting Numbers: [338] 338,81 unequal: No Solution Moving to Node #0,3,3 Current State: 81:[7, 20], Operations: ['56/8=7', '33-13=20'] Exploring Operation: 20-7=13, Resulting Numbers: [13] 13,81 unequal: No Solution Exploring Operation: 7+20=27, Resulting Numbers: [27] 27,81 unequal: No Solution Exploring Operation: 7*20=140, Resulting Numbers: [140] 140,81 unequal: No Solution Moving to Node #0,3,1 Current State: 81:[33, 6], Operations: ['56/8=7', '13-7=6'] Exploring Operation: 33-6=27, Resulting Numbers: [27] 27,81 unequal: No Solution Exploring Operation: 33*6=198, Resulting Numbers: [198] 198,81 unequal: No Solution Exploring Operation: 33+6=39, Resulting Numbers: [39] 39,81 unequal: No Solution Moving to Node #0,3,0 Current State: 81:[33, 20], Operations: ['56/8=7', '13+7=20'] Exploring Operation: 33*20=660, Resulting Numbers: [660] 660,81 unequal: No Solution Exploring Operation: 33+20=53, Resulting Numbers: [53] 53,81 unequal: No Solution Exploring Operation: 33-20=13, Resulting Numbers: [13] 13,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 81:[13, 8, 89], Operations: ['56+33=89'] Exploring Operation: 89-8=81, Resulting Numbers: [13, 81] Generated Node #0,1,0: 81:[13, 81] Operation: 89-8=81 Exploring Operation: 89-13=76, Resulting Numbers: [8, 76] Generated Node #0,1,1: 81:[8, 76] Operation: 89-13=76 Exploring Operation: 13+8=21, Resulting Numbers: [89, 21] Generated Node #0,1,2: 81:[89, 21] Operation: 13+8=21 Exploring Operation: 13-8=5, Resulting Numbers: [89, 5] Generated Node #0,1,3: 81:[89, 5] Operation: 13-8=5 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 81:[13, 81], Operations: ['56+33=89', '89-8=81'] Exploring Operation: 13*81=1053, Resulting Numbers: [1053] 1053,81 unequal: No Solution Exploring Operation: 13+81=94, Resulting Numbers: [94] 94,81 unequal: No Solution Exploring Operation: 81-13=68, Resulting Numbers: [68] 68,81 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 81:[8, 76], Operations: ['56+33=89', '89-13=76'] Exploring Operation: 76-8=68, Resulting Numbers: [68] 68,81 unequal: No Solution Exploring Operation: 8+76=84, Resulting Numbers: [84] 84,81 unequal: No Solution Exploring Operation: 8*76=608, Resulting Numbers: [608] 608,81 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 81:[89, 5], Operations: ['56+33=89', '13-8=5'] Exploring Operation: 89-5=84, Resulting Numbers: [84] 84,81 unequal: No Solution Exploring Operation: 89*5=445, Resulting Numbers: [445] 445,81 unequal: No Solution Exploring Operation: 89+5=94, Resulting Numbers: [94] 94,81 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 81:[89, 21], Operations: ['56+33=89', '13+8=21'] Exploring Operation: 89*21=1869, Resulting Numbers: [1869] 1869,81 unequal: No Solution Exploring Operation: 89+21=110, Resulting Numbers: [110] 110,81 unequal: No Solution Exploring Operation: 89-21=68, Resulting Numbers: [68] 68,81 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 81:[33, 8, 69], Operations: ['13+56=69'] Exploring Operation: 69-33=36, Resulting Numbers: [8, 36] Generated Node #0,2,0: 81:[8, 36] Operation: 69-33=36 Exploring Operation: 33-8=25, Resulting Numbers: [69, 25] Generated Node #0,2,1: 81:[69, 25] Operation: 33-8=25 Exploring Operation: 8+69=77, Resulting Numbers: [33, 77] Generated Node #0,2,2: 81:[33, 77] Operation: 8+69=77 Exploring Operation: 33+69=102, Resulting Numbers: [8, 102] Generated Node #0,2,3: 81:[8, 102] Operation: 33+69=102 Moving to Node #0,2,0 Current State: 81:[8, 36], Operations: ['13+56=69', '69-33=36'] Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,81 unequal: No Solution Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,81 unequal: No Solution Exploring Operation: 8*36=288, Resulting Numbers: [288] 288,81 unequal: No Solution Moving to Node #0,2,2 Current State: 81:[33, 77], Operations: ['13+56=69', '8+69=77'] Exploring Operation: 33+77=110, Resulting Numbers: [110] 110,81 unequal: No Solution Exploring Operation: 33*77=2541, Resulting Numbers: [2541] 2541,81 unequal: No Solution Exploring Operation: 77-33=44, Resulting Numbers: [44] 44,81 unequal: No Solution Moving to Node #0,2,1 Current State: 81:[69, 25], Operations: ['13+56=69', '33-8=25'] Exploring Operation: 69*25=1725, Resulting Numbers: [1725] 1725,81 unequal: No Solution Exploring Operation: 69+25=94, Resulting Numbers: [94] 94,81 unequal: No Solution Exploring Operation: 69-25=44, Resulting Numbers: [44] 44,81 unequal: No Solution Moving to Node #0,2,3 Current State: 81:[8, 102], Operations: ['13+56=69', '33+69=102'] Exploring Operation: 8+102=110, Resulting Numbers: [110] 110,81 unequal: No Solution Exploring Operation: 8*102=816, Resulting Numbers: [816] 816,81 unequal: No Solution Exploring Operation: 102-8=94, Resulting Numbers: [94] 94,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 33, 80, 37, 84 ]
66
[ "33+80=113", "84-37=47", "113-47=66" ]
Current State: 66:[33, 80, 37, 84], Operations: [] Exploring Operation: 33+80=113, Resulting Numbers: [37, 84, 113] Generated Node #2: [37, 84, 113] from Operation: 33+80=113 Current State: 66:[37, 84, 113], Operations: ['33+80=113'] Exploring Operation: 84-37=47, Resulting Numbers: [113, 47] Generated Node #3: [113, 47] from Operation: 84-37=47 Current State: 66:[113, 47], Operations: ['33+80=113', '84-37=47'] Exploring Operation: 113-47=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[33, 80, 37, 84], Operations: [] Exploring Operation: 80-37=43, Resulting Numbers: [33, 84, 43] Generated Node #0,0: 66:[33, 84, 43] Operation: 80-37=43 Exploring Operation: 37-33=4, Resulting Numbers: [80, 84, 4] Generated Node #0,1: 66:[80, 84, 4] Operation: 37-33=4 Exploring Operation: 84-80=4, Resulting Numbers: [33, 37, 4] Generated Node #0,2: 66:[33, 37, 4] Operation: 84-80=4 Exploring Operation: 84-37=47, Resulting Numbers: [33, 80, 47] Generated Node #0,3: 66:[33, 80, 47] Operation: 84-37=47 Moving to Node #0,2 Current State: 66:[33, 37, 4], Operations: ['84-80=4'] Exploring Operation: 37-4=33, Resulting Numbers: [33, 33] Generated Node #0,2,0: 66:[33, 33] Operation: 37-4=33 Exploring Operation: 37-33=4, Resulting Numbers: [4, 4] Generated Node #0,2,1: 66:[4, 4] Operation: 37-33=4 Exploring Operation: 33+37=70, Resulting Numbers: [4, 70] Generated Node #0,2,2: 66:[4, 70] Operation: 33+37=70 Exploring Operation: 33+4=37, Resulting Numbers: [37, 37] Generated Node #0,2,3: 66:[37, 37] Operation: 33+4=37 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 66:[33, 33], Operations: ['84-80=4', '37-4=33'] Exploring Operation: 33+33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[33, 80, 37, 84], Operations: [] Exploring Operation: 84-80=4, Resulting Numbers: [33, 37, 4] Generated Node #0,2: 66:[33, 37, 4] Operation: 84-80=4 Moving to Node #0,2 Current State: 66:[33, 37, 4], Operations: ['84-80=4'] Exploring Operation: 37-4=33, Resulting Numbers: [33, 33] Generated Node #0,2,0: 66:[33, 33] Operation: 37-4=33 Moving to Node #0,2,0 Current State: 66:[33, 33], Operations: ['84-80=4', '37-4=33'] Exploring Operation: 33+33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 1
0.988715
hs_4
sum_heuristic
[ 48, 24, 59, 65 ]
52
[ "48+24=72", "59+65=124", "124-72=52" ]
Current State: 52:[48, 24, 59, 65], Operations: [] Exploring Operation: 48+24=72, Resulting Numbers: [59, 65, 72] Generated Node #2: [59, 65, 72] from Operation: 48+24=72 Current State: 52:[59, 65, 72], Operations: ['48+24=72'] Exploring Operation: 59+65=124, Resulting Numbers: [72, 124] Generated Node #3: [72, 124] from Operation: 59+65=124 Current State: 52:[72, 124], Operations: ['48+24=72', '59+65=124'] Exploring Operation: 124-72=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[48, 24, 59, 65], Operations: [] Exploring Operation: 65-48=17, Resulting Numbers: [24, 59, 17] Generated Node #0,0: 52:[24, 59, 17] Operation: 65-48=17 Exploring Operation: 48-24=24, Resulting Numbers: [59, 65, 24] Generated Node #0,1: 52:[59, 65, 24] Operation: 48-24=24 Exploring Operation: 59-48=11, Resulting Numbers: [24, 65, 11] Generated Node #0,2: 52:[24, 65, 11] Operation: 59-48=11 Exploring Operation: 48/24=2, Resulting Numbers: [59, 65, 2] Generated Node #0,3: 52:[59, 65, 2] Operation: 48/24=2 Exploring Operation: 65-59=6, Resulting Numbers: [48, 24, 6] Generated Node #0,4: 52:[48, 24, 6] Operation: 65-59=6 Moving to Node #0,4 Current State: 52:[48, 24, 6], Operations: ['65-59=6'] Exploring Operation: 48/24=2, Resulting Numbers: [6, 2] Generated Node #0,4,0: 52:[6, 2] Operation: 48/24=2 Exploring Operation: 48/6=8, Resulting Numbers: [24, 8] Generated Node #0,4,1: 52:[24, 8] Operation: 48/6=8 Exploring Operation: 48-24=24, Resulting Numbers: [6, 24] Generated Node #0,4,2: 52:[6, 24] Operation: 48-24=24 Exploring Operation: 24/6=4, Resulting Numbers: [48, 4] Generated Node #0,4,3: 52:[48, 4] Operation: 24/6=4 Exploring Operation: 48+6=54, Resulting Numbers: [24, 54] Generated Node #0,4,4: 52:[24, 54] Operation: 48+6=54 Moving to Node #0,0 Current State: 52:[24, 59, 17], Operations: ['65-48=17'] Exploring Operation: 59-17=42, Resulting Numbers: [24, 42] Generated Node #0,0,0: 52:[24, 42] Operation: 59-17=42 Exploring Operation: 59+17=76, Resulting Numbers: [24, 76] Generated Node #0,0,1: 52:[24, 76] Operation: 59+17=76 Exploring Operation: 24-17=7, Resulting Numbers: [59, 7] Generated Node #0,0,2: 52:[59, 7] Operation: 24-17=7 Exploring Operation: 24+17=41, Resulting Numbers: [59, 41] Generated Node #0,0,3: 52:[59, 41] Operation: 24+17=41 Exploring Operation: 59-24=35, Resulting Numbers: [17, 35] Generated Node #0,0,4: 52:[17, 35] Operation: 59-24=35 Moving to Node #0,2 Current State: 52:[24, 65, 11], Operations: ['59-48=11'] Exploring Operation: 24+11=35, Resulting Numbers: [65, 35] Generated Node #0,2,0: 52:[65, 35] Operation: 24+11=35 Exploring Operation: 65+11=76, Resulting Numbers: [24, 76] Generated Node #0,2,1: 52:[24, 76] Operation: 65+11=76 Exploring Operation: 65-11=54, Resulting Numbers: [24, 54] Generated Node #0,2,2: 52:[24, 54] Operation: 65-11=54 Exploring Operation: 65-24=41, Resulting Numbers: [11, 41] Generated Node #0,2,3: 52:[11, 41] Operation: 65-24=41 Exploring Operation: 24-11=13, Resulting Numbers: [65, 13] Generated Node #0,2,4: 52:[65, 13] Operation: 24-11=13 Moving to Node #0,3 Current State: 52:[59, 65, 2], Operations: ['48/24=2'] Exploring Operation: 65-2=63, Resulting Numbers: [59, 63] Generated Node #0,3,0: 52:[59, 63] Operation: 65-2=63 Exploring Operation: 59-2=57, Resulting Numbers: [65, 57] Generated Node #0,3,1: 52:[65, 57] Operation: 59-2=57 Exploring Operation: 65+2=67, Resulting Numbers: [59, 67] Generated Node #0,3,2: 52:[59, 67] Operation: 65+2=67 Exploring Operation: 59+2=61, Resulting Numbers: [65, 61] Generated Node #0,3,3: 52:[65, 61] Operation: 59+2=61 Exploring Operation: 65-59=6, Resulting Numbers: [2, 6] Generated Node #0,3,4: 52:[2, 6] Operation: 65-59=6 Moving to Node #0,1 Current State: 52:[59, 65, 24], Operations: ['48-24=24'] Exploring Operation: 65+24=89, Resulting Numbers: [59, 89] Generated Node #0,1,0: 52:[59, 89] Operation: 65+24=89 Exploring Operation: 65-24=41, Resulting Numbers: [59, 41] Generated Node #0,1,1: 52:[59, 41] Operation: 65-24=41 Exploring Operation: 65-59=6, Resulting Numbers: [24, 6] Generated Node #0,1,2: 52:[24, 6] Operation: 65-59=6 Exploring Operation: 59-24=35, Resulting Numbers: [65, 35] Generated Node #0,1,3: 52:[65, 35] Operation: 59-24=35 Exploring Operation: 59+24=83, Resulting Numbers: [65, 83] Generated Node #0,1,4: 52:[65, 83] Operation: 59+24=83 Moving to Node #0,4,0 Current State: 52:[6, 2], Operations: ['65-59=6', '48/24=2'] Exploring Operation: 6+2=8, Resulting Numbers: [8] 8,52 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 6*2=12, Resulting Numbers: [12] 12,52 unequal: No Solution Moving to Node #0,3,4 Current State: 52:[2, 6], Operations: ['48/24=2', '65-59=6'] Exploring Operation: 2*6=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 6/2=3, Resulting Numbers: [3] 3,52 unequal: No Solution Exploring Operation: 6-2=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 2+6=8, Resulting Numbers: [8] 8,52 unequal: No Solution Moving to Node #0,4,3 Current State: 52:[48, 4], Operations: ['65-59=6', '24/6=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[48, 24, 59, 65], Operations: [] Exploring Operation: 65-59=6, Resulting Numbers: [48, 24, 6] Generated Node #0,4: 52:[48, 24, 6] Operation: 65-59=6 Moving to Node #0,4 Current State: 52:[48, 24, 6], Operations: ['65-59=6'] Exploring Operation: 24/6=4, Resulting Numbers: [48, 4] Generated Node #0,4,3: 52:[48, 4] Operation: 24/6=4 Moving to Node #0,4,3 Current State: 52:[48, 4], Operations: ['65-59=6', '24/6=4'] Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
0.962674
hs_5
mult_heuristic
[ 48, 31, 38, 47 ]
69
[ "48-47=1", "31+38=69", "1*69=69" ]
Current State: 69:[48, 31, 38, 47], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [31, 38, 1] Generated Node #2: [31, 38, 1] from Operation: 48-47=1 Current State: 69:[31, 38, 1], Operations: ['48-47=1'] Exploring Operation: 31+38=69, Resulting Numbers: [1, 69] Generated Node #3: [1, 69] from Operation: 31+38=69 Current State: 69:[1, 69], Operations: ['48-47=1', '31+38=69'] Exploring Operation: 1*69=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
4
Current State: 69:[48, 31, 38, 47], Operations: [] Exploring Operation: 48-38=10, Resulting Numbers: [31, 47, 10] Generated Node #0,0: 69:[31, 47, 10] Operation: 48-38=10 Exploring Operation: 48-31=17, Resulting Numbers: [38, 47, 17] Generated Node #0,1: 69:[38, 47, 17] Operation: 48-31=17 Exploring Operation: 48-47=1, Resulting Numbers: [31, 38, 1] Generated Node #0,2: 69:[31, 38, 1] Operation: 48-47=1 Exploring Operation: 47-38=9, Resulting Numbers: [48, 31, 9] Generated Node #0,3: 69:[48, 31, 9] Operation: 47-38=9 Moving to Node #0,2 Current State: 69:[31, 38, 1], Operations: ['48-47=1'] Exploring Operation: 31+38=69, Resulting Numbers: [1, 69] Generated Node #0,2,0: 69:[1, 69] Operation: 31+38=69 Exploring Operation: 38-31=7, Resulting Numbers: [1, 7] Generated Node #0,2,1: 69:[1, 7] Operation: 38-31=7 Exploring Operation: 38-1=37, Resulting Numbers: [31, 37] Generated Node #0,2,2: 69:[31, 37] Operation: 38-1=37 Exploring Operation: 31-1=30, Resulting Numbers: [38, 30] Generated Node #0,2,3: 69:[38, 30] Operation: 31-1=30 Moving to Node #0,3 Current State: 69:[48, 31, 9], Operations: ['47-38=9'] Exploring Operation: 31-9=22, Resulting Numbers: [48, 22] Generated Node #0,3,0: 69:[48, 22] Operation: 31-9=22 Exploring Operation: 48+9=57, Resulting Numbers: [31, 57] Generated Node #0,3,1: 69:[31, 57] Operation: 48+9=57 Exploring Operation: 48+31=79, Resulting Numbers: [9, 79] Generated Node #0,3,2: 69:[9, 79] Operation: 48+31=79 Exploring Operation: 48-31=17, Resulting Numbers: [9, 17] Generated Node #0,3,3: 69:[9, 17] Operation: 48-31=17 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 69:[9, 17], Operations: ['47-38=9', '48-31=17'] Exploring Operation: 9+17=26, Resulting Numbers: [26] 26,69 unequal: No Solution Exploring Operation: 17-9=8, Resulting Numbers: [8] 8,69 unequal: No Solution Exploring Operation: 9*17=153, Resulting Numbers: [153] 153,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 69:[9, 79], Operations: ['47-38=9', '48+31=79'] Exploring Operation: 9*79=711, Resulting Numbers: [711] 711,69 unequal: No Solution Exploring Operation: 79-9=70, Resulting Numbers: [70] 70,69 unequal: No Solution Exploring Operation: 9+79=88, Resulting Numbers: [88] 88,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 69:[31, 57], Operations: ['47-38=9', '48+9=57'] Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,69 unequal: No Solution Exploring Operation: 31+57=88, Resulting Numbers: [88] 88,69 unequal: No Solution Exploring Operation: 31*57=1767, Resulting Numbers: [1767] 1767,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 69:[48, 22], Operations: ['47-38=9', '31-9=22'] Exploring Operation: 48-22=26, Resulting Numbers: [26] 26,69 unequal: No Solution Exploring Operation: 48*22=1056, Resulting Numbers: [1056] 1056,69 unequal: No Solution Exploring Operation: 48+22=70, Resulting Numbers: [70] 70,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 69:[31, 47, 10], Operations: ['48-38=10'] Exploring Operation: 47-31=16, Resulting Numbers: [10, 16] Generated Node #0,0,0: 69:[10, 16] Operation: 47-31=16 Exploring Operation: 47-10=37, Resulting Numbers: [31, 37] Generated Node #0,0,1: 69:[31, 37] Operation: 47-10=37 Exploring Operation: 47+10=57, Resulting Numbers: [31, 57] Generated Node #0,0,2: 69:[31, 57] Operation: 47+10=57 Exploring Operation: 31+47=78, Resulting Numbers: [10, 78] Generated Node #0,0,3: 69:[10, 78] Operation: 31+47=78 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 69:[10, 16], Operations: ['48-38=10', '47-31=16'] Exploring Operation: 16-10=6, Resulting Numbers: [6] 6,69 unequal: No Solution Exploring Operation: 10+16=26, Resulting Numbers: [26] 26,69 unequal: No Solution Exploring Operation: 10*16=160, Resulting Numbers: [160] 160,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 69:[10, 78], Operations: ['48-38=10', '31+47=78'] Exploring Operation: 10+78=88, Resulting Numbers: [88] 88,69 unequal: No Solution Exploring Operation: 10*78=780, Resulting Numbers: [780] 780,69 unequal: No Solution Exploring Operation: 78-10=68, Resulting Numbers: [68] 68,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 69:[31, 57], Operations: ['48-38=10', '47+10=57'] Exploring Operation: 57-31=26, Resulting Numbers: [26] 26,69 unequal: No Solution Exploring Operation: 31*57=1767, Resulting Numbers: [1767] 1767,69 unequal: No Solution Exploring Operation: 31+57=88, Resulting Numbers: [88] 88,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 69:[31, 37], Operations: ['48-38=10', '47-10=37'] Exploring Operation: 37-31=6, Resulting Numbers: [6] 6,69 unequal: No Solution Exploring Operation: 31+37=68, Resulting Numbers: [68] 68,69 unequal: No Solution Exploring Operation: 31*37=1147, Resulting Numbers: [1147] 1147,69 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 69:[38, 47, 17], Operations: ['48-31=17'] Exploring Operation: 38+47=85, Resulting Numbers: [17, 85] Generated Node #0,1,0: 69:[17, 85] Operation: 38+47=85 Exploring Operation: 47-17=30, Resulting Numbers: [38, 30] Generated Node #0,1,1: 69:[38, 30] Operation: 47-17=30 Exploring Operation: 47+17=64, Resulting Numbers: [38, 64] Generated Node #0,1,2: 69:[38, 64] Operation: 47+17=64 Exploring Operation: 47-38=9, Resulting Numbers: [17, 9] Generated Node #0,1,3: 69:[17, 9] Operation: 47-38=9 Moving to Node #0,2,0 Current State: 69:[1, 69], Operations: ['48-47=1', '31+38=69'] Exploring Operation: 1+69=70, Resulting Numbers: [70] 70,69 unequal: No Solution Exploring Operation: 1*69=69, Resulting Numbers: [69] 69,69 equal: Goal Reached Moving to Node #0 Current State: 69:[48, 31, 38, 47], Operations: [] Exploring Operation: 48-47=1, Resulting Numbers: [31, 38, 1] Generated Node #0,2: 69:[31, 38, 1] Operation: 48-47=1 Moving to Node #0,2 Current State: 69:[31, 38, 1], Operations: ['48-47=1'] Exploring Operation: 31+38=69, Resulting Numbers: [1, 69] Generated Node #0,2,0: 69:[1, 69] Operation: 31+38=69 Moving to Node #0,2,0 Current State: 69:[1, 69], Operations: ['48-47=1', '31+38=69'] Exploring Operation: 1*69=69, Resulting Numbers: [69] 69,69 equal: Goal Reached
0.956597
hs_4
mult_heuristic
[ 74, 13, 23, 48 ]
36
[ "74-13=61", "48-23=25", "61-25=36" ]
Current State: 36:[74, 13, 23, 48], Operations: [] Exploring Operation: 74-13=61, Resulting Numbers: [23, 48, 61] Generated Node #2: [23, 48, 61] from Operation: 74-13=61 Current State: 36:[23, 48, 61], Operations: ['74-13=61'] Exploring Operation: 48-23=25, Resulting Numbers: [61, 25] Generated Node #3: [61, 25] from Operation: 48-23=25 Current State: 36:[61, 25], Operations: ['74-13=61', '48-23=25'] Exploring Operation: 61-25=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[74, 13, 23, 48], Operations: [] Exploring Operation: 74-48=26, Resulting Numbers: [13, 23, 26] Generated Node #0,0: 36:[13, 23, 26] Operation: 74-48=26 Exploring Operation: 74-23=51, Resulting Numbers: [13, 48, 51] Generated Node #0,1: 36:[13, 48, 51] Operation: 74-23=51 Start Sub Search at level 1: Moving to Node #0,0 Current State: 36:[13, 23, 26], Operations: ['74-48=26'] Exploring Operation: 26/13=2, Resulting Numbers: [23, 2] Generated Node #0,0,0: 36:[23, 2] Operation: 26/13=2 Exploring Operation: 26-23=3, Resulting Numbers: [13, 3] Generated Node #0,0,1: 36:[13, 3] Operation: 26-23=3 Moving to Node #0,0,1 Current State: 36:[13, 3], Operations: ['74-48=26', '26-23=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,36 unequal: No Solution Moving to Node #0,0,0 Current State: 36:[23, 2], Operations: ['74-48=26', '26/13=2'] Exploring Operation: 23+2=25, Resulting Numbers: [25] 25,36 unequal: No Solution Exploring Operation: 23-2=21, Resulting Numbers: [21] 21,36 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 36:[13, 48, 51], Operations: ['74-23=51'] Exploring Operation: 51-48=3, Resulting Numbers: [13, 3] Generated Node #0,1,0: 36:[13, 3] Operation: 51-48=3 Exploring Operation: 51-13=38, Resulting Numbers: [48, 38] Generated Node #0,1,1: 36:[48, 38] Operation: 51-13=38 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 36:[13, 3], Operations: ['74-23=51', '51-48=3'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,36 unequal: No Solution Exploring Operation: 13+3=16, Resulting Numbers: [16] 16,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 36:[48, 38], Operations: ['74-23=51', '51-13=38'] Exploring Operation: 48+38=86, Resulting Numbers: [86] 86,36 unequal: No Solution Exploring Operation: 48-38=10, Resulting Numbers: [10] 10,36 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 19, 98, 22, 4 ]
80
[ "19*22=418", "418-98=320", "320/4=80" ]
Current State: 80:[19, 98, 22, 4], Operations: [] Exploring Operation: 19*22=418, Resulting Numbers: [98, 4, 418] Generated Node #2: [98, 4, 418] from Operation: 19*22=418 Current State: 80:[98, 4, 418], Operations: ['19*22=418'] Exploring Operation: 418-98=320, Resulting Numbers: [4, 320] Generated Node #3: [4, 320] from Operation: 418-98=320 Current State: 80:[4, 320], Operations: ['19*22=418', '418-98=320'] Exploring Operation: 320/4=80, Resulting Numbers: [80] 80,80 equal: Goal Reached
4
Current State: 80:[19, 98, 22, 4], Operations: [] Exploring Operation: 98-4=94, Resulting Numbers: [19, 22, 94] Generated Node #0,0: 80:[19, 22, 94] Operation: 98-4=94 Exploring Operation: 98-22=76, Resulting Numbers: [19, 4, 76] Generated Node #0,1: 80:[19, 4, 76] Operation: 98-22=76 Exploring Operation: 98-19=79, Resulting Numbers: [22, 4, 79] Generated Node #0,2: 80:[22, 4, 79] Operation: 98-19=79 Exploring Operation: 19+22=41, Resulting Numbers: [98, 4, 41] Generated Node #0,3: 80:[98, 4, 41] Operation: 19+22=41 Start Sub Search at level 1: Moving to Node #0,2 Current State: 80:[22, 4, 79], Operations: ['98-19=79'] Exploring Operation: 4+79=83, Resulting Numbers: [22, 83] Generated Node #0,2,0: 80:[22, 83] Operation: 4+79=83 Exploring Operation: 22-4=18, Resulting Numbers: [79, 18] Generated Node #0,2,1: 80:[79, 18] Operation: 22-4=18 Exploring Operation: 79-4=75, Resulting Numbers: [22, 75] Generated Node #0,2,2: 80:[22, 75] Operation: 79-4=75 Exploring Operation: 22+4=26, Resulting Numbers: [79, 26] Generated Node #0,2,3: 80:[79, 26] Operation: 22+4=26 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 80:[79, 18], Operations: ['98-19=79', '22-4=18'] Exploring Operation: 79+18=97, Resulting Numbers: [97] 97,80 unequal: No Solution Exploring Operation: 79-18=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 79*18=1422, Resulting Numbers: [1422] 1422,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 80:[22, 83], Operations: ['98-19=79', '4+79=83'] Exploring Operation: 83-22=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 22+83=105, Resulting Numbers: [105] 105,80 unequal: No Solution Exploring Operation: 22*83=1826, Resulting Numbers: [1826] 1826,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 80:[22, 75], Operations: ['98-19=79', '79-4=75'] Exploring Operation: 22+75=97, Resulting Numbers: [97] 97,80 unequal: No Solution Exploring Operation: 22*75=1650, Resulting Numbers: [1650] 1650,80 unequal: No Solution Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 80:[79, 26], Operations: ['98-19=79', '22+4=26'] Exploring Operation: 79+26=105, Resulting Numbers: [105] 105,80 unequal: No Solution Exploring Operation: 79-26=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 79*26=2054, Resulting Numbers: [2054] 2054,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 80:[19, 4, 76], Operations: ['98-22=76'] Exploring Operation: 19-4=15, Resulting Numbers: [76, 15] Generated Node #0,1,0: 80:[76, 15] Operation: 19-4=15 Exploring Operation: 76/19=4, Resulting Numbers: [4, 4] Generated Node #0,1,1: 80:[4, 4] Operation: 76/19=4 Exploring Operation: 76/4=19, Resulting Numbers: [19, 19] Generated Node #0,1,2: 80:[19, 19] Operation: 76/4=19 Exploring Operation: 4+76=80, Resulting Numbers: [19, 80] Generated Node #0,1,3: 80:[19, 80] Operation: 4+76=80 Moving to Node #0,1,1 Current State: 80:[4, 4], Operations: ['98-22=76', '76/19=4'] Exploring Operation: 4*4=16, Resulting Numbers: [16] 16,80 unequal: No Solution Exploring Operation: 4+4=8, Resulting Numbers: [8] 8,80 unequal: No Solution Exploring Operation: 4/4=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 4-4=0, Resulting Numbers: [0] 0,80 unequal: No Solution Moving to Node #0,1,3 Current State: 80:[19, 80], Operations: ['98-22=76', '4+76=80'] Exploring Operation: 19*80=1520, Resulting Numbers: [1520] 1520,80 unequal: No Solution Exploring Operation: 80-19=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 19+80=99, Resulting Numbers: [99] 99,80 unequal: No Solution Moving to Node #0,1,2 Current State: 80:[19, 19], Operations: ['98-22=76', '76/4=19'] Exploring Operation: 19*19=361, Resulting Numbers: [361] 361,80 unequal: No Solution Exploring Operation: 19/19=1, Resulting Numbers: [1] 1,80 unequal: No Solution Exploring Operation: 19+19=38, Resulting Numbers: [38] 38,80 unequal: No Solution Exploring Operation: 19-19=0, Resulting Numbers: [0] 0,80 unequal: No Solution Moving to Node #0,1,0 Current State: 80:[76, 15], Operations: ['98-22=76', '19-4=15'] Exploring Operation: 76*15=1140, Resulting Numbers: [1140] 1140,80 unequal: No Solution Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 76+15=91, Resulting Numbers: [91] 91,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 80:[19, 22, 94], Operations: ['98-4=94'] Exploring Operation: 94-19=75, Resulting Numbers: [22, 75] Generated Node #0,0,0: 80:[22, 75] Operation: 94-19=75 Exploring Operation: 19+22=41, Resulting Numbers: [94, 41] Generated Node #0,0,1: 80:[94, 41] Operation: 19+22=41 Exploring Operation: 22-19=3, Resulting Numbers: [94, 3] Generated Node #0,0,2: 80:[94, 3] Operation: 22-19=3 Exploring Operation: 94-22=72, Resulting Numbers: [19, 72] Generated Node #0,0,3: 80:[19, 72] Operation: 94-22=72 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 80:[22, 75], Operations: ['98-4=94', '94-19=75'] Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 22+75=97, Resulting Numbers: [97] 97,80 unequal: No Solution Exploring Operation: 22*75=1650, Resulting Numbers: [1650] 1650,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 80:[19, 72], Operations: ['98-4=94', '94-22=72'] Exploring Operation: 72-19=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 19*72=1368, Resulting Numbers: [1368] 1368,80 unequal: No Solution Exploring Operation: 19+72=91, Resulting Numbers: [91] 91,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 80:[94, 41], Operations: ['98-4=94', '19+22=41'] Exploring Operation: 94*41=3854, Resulting Numbers: [3854] 3854,80 unequal: No Solution Exploring Operation: 94+41=135, Resulting Numbers: [135] 135,80 unequal: No Solution Exploring Operation: 94-41=53, Resulting Numbers: [53] 53,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 80:[94, 3], Operations: ['98-4=94', '22-19=3'] Exploring Operation: 94+3=97, Resulting Numbers: [97] 97,80 unequal: No Solution Exploring Operation: 94-3=91, Resulting Numbers: [91] 91,80 unequal: No Solution Exploring Operation: 94*3=282, Resulting Numbers: [282] 282,80 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 80:[98, 4, 41], Operations: ['19+22=41'] Exploring Operation: 98-4=94, Resulting Numbers: [41, 94] Generated Node #0,3,0: 80:[41, 94] Operation: 98-4=94 Exploring Operation: 41-4=37, Resulting Numbers: [98, 37] Generated Node #0,3,1: 80:[98, 37] Operation: 41-4=37 Exploring Operation: 98+4=102, Resulting Numbers: [41, 102] Generated Node #0,3,2: 80:[41, 102] Operation: 98+4=102 Exploring Operation: 98-41=57, Resulting Numbers: [4, 57] Generated Node #0,3,3: 80:[4, 57] Operation: 98-41=57 Moving to Node #0,3,0 Current State: 80:[41, 94], Operations: ['19+22=41', '98-4=94'] Exploring Operation: 41+94=135, Resulting Numbers: [135] 135,80 unequal: No Solution Exploring Operation: 94-41=53, Resulting Numbers: [53] 53,80 unequal: No Solution Exploring Operation: 41*94=3854, Resulting Numbers: [3854] 3854,80 unequal: No Solution Moving to Node #0,3,3 Current State: 80:[4, 57], Operations: ['19+22=41', '98-41=57'] Exploring Operation: 4*57=228, Resulting Numbers: [228] 228,80 unequal: No Solution Exploring Operation: 4+57=61, Resulting Numbers: [61] 61,80 unequal: No Solution Exploring Operation: 57-4=53, Resulting Numbers: [53] 53,80 unequal: No Solution Moving to Node #0,3,1 Current State: 80:[98, 37], Operations: ['19+22=41', '41-4=37'] Exploring Operation: 98+37=135, Resulting Numbers: [135] 135,80 unequal: No Solution Exploring Operation: 98*37=3626, Resulting Numbers: [3626] 3626,80 unequal: No Solution Exploring Operation: 98-37=61, Resulting Numbers: [61] 61,80 unequal: No Solution Moving to Node #0,3,2 Current State: 80:[41, 102], Operations: ['19+22=41', '98+4=102'] Exploring Operation: 41+102=143, Resulting Numbers: [143] 143,80 unequal: No Solution Exploring Operation: 41*102=4182, Resulting Numbers: [4182] 4182,80 unequal: No Solution Exploring Operation: 102-41=61, Resulting Numbers: [61] 61,80 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 31, 30, 56, 8 ]
65
[ "31-30=1", "56+8=64", "1+64=65" ]
Current State: 65:[31, 30, 56, 8], Operations: [] Exploring Operation: 31-30=1, Resulting Numbers: [56, 8, 1] Generated Node #2: [56, 8, 1] from Operation: 31-30=1 Current State: 65:[56, 8, 1], Operations: ['31-30=1'] Exploring Operation: 56+8=64, Resulting Numbers: [1, 64] Generated Node #3: [1, 64] from Operation: 56+8=64 Current State: 65:[1, 64], Operations: ['31-30=1', '56+8=64'] Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,65 equal: Goal Reached
4
Current State: 65:[31, 30, 56, 8], Operations: [] Exploring Operation: 31+30=61, Resulting Numbers: [56, 8, 61] Generated Node #0,0: 65:[56, 8, 61] Operation: 31+30=61 Exploring Operation: 31-30=1, Resulting Numbers: [56, 8, 1] Generated Node #0,1: 65:[56, 8, 1] Operation: 31-30=1 Exploring Operation: 56-31=25, Resulting Numbers: [30, 8, 25] Generated Node #0,2: 65:[30, 8, 25] Operation: 56-31=25 Start Sub Search at level 1: Moving to Node #0,0 Current State: 65:[56, 8, 61], Operations: ['31+30=61'] Exploring Operation: 56/8=7, Resulting Numbers: [61, 7] Generated Node #0,0,0: 65:[61, 7] Operation: 56/8=7 Exploring Operation: 56+8=64, Resulting Numbers: [61, 64] Generated Node #0,0,1: 65:[61, 64] Operation: 56+8=64 Exploring Operation: 61-56=5, Resulting Numbers: [8, 5] Generated Node #0,0,2: 65:[8, 5] Operation: 61-56=5 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 65:[8, 5], Operations: ['31+30=61', '61-56=5'] Exploring Operation: 8*5=40, Resulting Numbers: [40] 40,65 unequal: No Solution Exploring Operation: 8+5=13, Resulting Numbers: [13] 13,65 unequal: No Solution Exploring Operation: 8-5=3, Resulting Numbers: [3] 3,65 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 65:[61, 64], Operations: ['31+30=61', '56+8=64'] Exploring Operation: 61+64=125, Resulting Numbers: [125] 125,65 unequal: No Solution Exploring Operation: 64-61=3, Resulting Numbers: [3] 3,65 unequal: No Solution Exploring Operation: 61*64=3904, Resulting Numbers: [3904] 3904,65 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 65:[61, 7], Operations: ['31+30=61', '56/8=7'] Exploring Operation: 61-7=54, Resulting Numbers: [54] 54,65 unequal: No Solution Exploring Operation: 61*7=427, Resulting Numbers: [427] 427,65 unequal: No Solution Exploring Operation: 61+7=68, Resulting Numbers: [68] 68,65 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 65:[56, 8, 1], Operations: ['31-30=1'] Exploring Operation: 56+8=64, Resulting Numbers: [1, 64] Generated Node #0,1,0: 65:[1, 64] Operation: 56+8=64 Exploring Operation: 56/8=7, Resulting Numbers: [1, 7] Generated Node #0,1,1: 65:[1, 7] Operation: 56/8=7 Exploring Operation: 56+1=57, Resulting Numbers: [8, 57] Generated Node #0,1,2: 65:[8, 57] Operation: 56+1=57 Moving to Node #0,1,0 Current State: 65:[1, 64], Operations: ['31-30=1', '56+8=64'] Exploring Operation: 1*64=64, Resulting Numbers: [64] 64,65 unequal: No Solution Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Moving to Node #0 Current State: 65:[31, 30, 56, 8], Operations: [] Exploring Operation: 31-30=1, Resulting Numbers: [56, 8, 1] Generated Node #0,1: 65:[56, 8, 1] Operation: 31-30=1 Moving to Node #0,1 Current State: 65:[56, 8, 1], Operations: ['31-30=1'] Exploring Operation: 56+8=64, Resulting Numbers: [1, 64] Generated Node #0,1,0: 65:[1, 64] Operation: 56+8=64 Moving to Node #0,1,0 Current State: 65:[1, 64], Operations: ['31-30=1', '56+8=64'] Exploring Operation: 1+64=65, Resulting Numbers: [65] 65,65 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_3
mult_heuristic
[ 54, 8, 2, 9 ]
52
[ "54-2=52", "9-8=1", "52*1=52" ]
Current State: 52:[54, 8, 2, 9], Operations: [] Exploring Operation: 54-2=52, Resulting Numbers: [8, 9, 52] Generated Node #2: [8, 9, 52] from Operation: 54-2=52 Current State: 52:[8, 9, 52], Operations: ['54-2=52'] Exploring Operation: 9-8=1, Resulting Numbers: [52, 1] Generated Node #3: [52, 1] from Operation: 9-8=1 Current State: 52:[52, 1], Operations: ['54-2=52', '9-8=1'] Exploring Operation: 52*1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[54, 8, 2, 9], Operations: [] Exploring Operation: 54/9=6, Resulting Numbers: [8, 2, 6] Generated Node #0,0: 52:[8, 2, 6] Operation: 54/9=6 Exploring Operation: 9-8=1, Resulting Numbers: [54, 2, 1] Generated Node #0,1: 52:[54, 2, 1] Operation: 9-8=1 Moving to Node #0,1 Current State: 52:[54, 2, 1], Operations: ['9-8=1'] Exploring Operation: 54-1=53, Resulting Numbers: [2, 53] Generated Node #0,1,0: 52:[2, 53] Operation: 54-1=53 Exploring Operation: 54-2=52, Resulting Numbers: [1, 52] Generated Node #0,1,1: 52:[1, 52] Operation: 54-2=52 Moving to Node #0,0 Current State: 52:[8, 2, 6], Operations: ['54/9=6'] Exploring Operation: 8+6=14, Resulting Numbers: [2, 14] Generated Node #0,0,0: 52:[2, 14] Operation: 8+6=14 Exploring Operation: 8-6=2, Resulting Numbers: [2, 2] Generated Node #0,0,1: 52:[2, 2] Operation: 8-6=2 Moving to Node #0,0,1 Current State: 52:[2, 2], Operations: ['54/9=6', '8-6=2'] Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,52 unequal: No Solution Moving to Node #0,1,0 Current State: 52:[2, 53], Operations: ['9-8=1', '54-1=53'] Exploring Operation: 2+53=55, Resulting Numbers: [55] 55,52 unequal: No Solution Exploring Operation: 53-2=51, Resulting Numbers: [51] 51,52 unequal: No Solution Moving to Node #0,1,1 Current State: 52:[1, 52], Operations: ['9-8=1', '54-2=52'] Exploring Operation: 52/1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[54, 8, 2, 9], Operations: [] Exploring Operation: 9-8=1, Resulting Numbers: [54, 2, 1] Generated Node #0,1: 52:[54, 2, 1] Operation: 9-8=1 Moving to Node #0,1 Current State: 52:[54, 2, 1], Operations: ['9-8=1'] Exploring Operation: 54-2=52, Resulting Numbers: [1, 52] Generated Node #0,1,1: 52:[1, 52] Operation: 54-2=52 Moving to Node #0,1,1 Current State: 52:[1, 52], Operations: ['9-8=1', '54-2=52'] Exploring Operation: 52/1=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
0.986979
hs_2
sum_heuristic
[ 43, 87, 53, 40 ]
37
[ "43+87=130", "53+40=93", "130-93=37" ]
Current State: 37:[43, 87, 53, 40], Operations: [] Exploring Operation: 43+87=130, Resulting Numbers: [53, 40, 130] Generated Node #2: [53, 40, 130] from Operation: 43+87=130 Current State: 37:[53, 40, 130], Operations: ['43+87=130'] Exploring Operation: 53+40=93, Resulting Numbers: [130, 93] Generated Node #3: [130, 93] from Operation: 53+40=93 Current State: 37:[130, 93], Operations: ['43+87=130', '53+40=93'] Exploring Operation: 130-93=37, Resulting Numbers: [37] 37,37 equal: Goal Reached
4
Current State: 37:[43, 87, 53, 40], Operations: [] Exploring Operation: 87-43=44, Resulting Numbers: [53, 40, 44] Generated Node #0,0: 37:[53, 40, 44] Operation: 87-43=44 Exploring Operation: 87-53=34, Resulting Numbers: [43, 40, 34] Generated Node #0,1: 37:[43, 40, 34] Operation: 87-53=34 Start Sub Search at level 1: Moving to Node #0,1 Current State: 37:[43, 40, 34], Operations: ['87-53=34'] Exploring Operation: 43-34=9, Resulting Numbers: [40, 9] Generated Node #0,1,0: 37:[40, 9] Operation: 43-34=9 Exploring Operation: 43-40=3, Resulting Numbers: [34, 3] Generated Node #0,1,1: 37:[34, 3] Operation: 43-40=3 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 37:[40, 9], Operations: ['87-53=34', '43-34=9'] Exploring Operation: 40+9=49, Resulting Numbers: [49] 49,37 unequal: No Solution Exploring Operation: 40-9=31, Resulting Numbers: [31] 31,37 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 37:[34, 3], Operations: ['87-53=34', '43-40=3'] Exploring Operation: 34-3=31, Resulting Numbers: [31] 31,37 unequal: No Solution Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Moving to Node #0 Current State: 37:[43, 87, 53, 40], Operations: [] Exploring Operation: 87-53=34, Resulting Numbers: [43, 40, 34] Generated Node #0,1: 37:[43, 40, 34] Operation: 87-53=34 Moving to Node #0,1 Current State: 37:[43, 40, 34], Operations: ['87-53=34'] Exploring Operation: 43-40=3, Resulting Numbers: [34, 3] Generated Node #0,1,1: 37:[34, 3] Operation: 43-40=3 Moving to Node #0,1,1 Current State: 37:[34, 3], Operations: ['87-53=34', '43-40=3'] Exploring Operation: 34+3=37, Resulting Numbers: [37] 37,37 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.989583
hs_2
mult_heuristic
[ 10, 99, 76, 54 ]
41
[ "99-10=89", "76+54=130", "130-89=41" ]
Current State: 41:[10, 99, 76, 54], Operations: [] Exploring Operation: 99-10=89, Resulting Numbers: [76, 54, 89] Generated Node #2: [76, 54, 89] from Operation: 99-10=89 Current State: 41:[76, 54, 89], Operations: ['99-10=89'] Exploring Operation: 76+54=130, Resulting Numbers: [89, 130] Generated Node #3: [89, 130] from Operation: 76+54=130 Current State: 41:[89, 130], Operations: ['99-10=89', '76+54=130'] Exploring Operation: 130-89=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[10, 99, 76, 54], Operations: [] Exploring Operation: 99-76=23, Resulting Numbers: [10, 54, 23] Generated Node #0,0: 41:[10, 54, 23] Operation: 99-76=23 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[10, 54, 23], Operations: ['99-76=23'] Exploring Operation: 54-10=44, Resulting Numbers: [23, 44] Generated Node #0,0,0: 41:[23, 44] Operation: 54-10=44 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[23, 44], Operations: ['99-76=23', '54-10=44'] Exploring Operation: 44-23=21, Resulting Numbers: [21] 21,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 75, 76, 34, 5 ]
53
[ "76+34=110", "110/5=22", "75-22=53" ]
Current State: 53:[75, 76, 34, 5], Operations: [] Exploring Operation: 76+34=110, Resulting Numbers: [75, 5, 110] Generated Node #2: [75, 5, 110] from Operation: 76+34=110 Current State: 53:[75, 5, 110], Operations: ['76+34=110'] Exploring Operation: 110/5=22, Resulting Numbers: [75, 22] Generated Node #3: [75, 22] from Operation: 110/5=22 Current State: 53:[75, 22], Operations: ['76+34=110', '110/5=22'] Exploring Operation: 75-22=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[75, 76, 34, 5], Operations: [] Exploring Operation: 75-5=70, Resulting Numbers: [76, 34, 70] Generated Node #0,0: 53:[76, 34, 70] Operation: 75-5=70 Exploring Operation: 34+5=39, Resulting Numbers: [75, 76, 39] Generated Node #0,1: 53:[75, 76, 39] Operation: 34+5=39 Exploring Operation: 76-5=71, Resulting Numbers: [75, 34, 71] Generated Node #0,2: 53:[75, 34, 71] Operation: 76-5=71 Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[76, 34, 70], Operations: ['75-5=70'] Exploring Operation: 76-34=42, Resulting Numbers: [70, 42] Generated Node #0,0,0: 53:[70, 42] Operation: 76-34=42 Exploring Operation: 70-34=36, Resulting Numbers: [76, 36] Generated Node #0,0,1: 53:[76, 36] Operation: 70-34=36 Exploring Operation: 76-70=6, Resulting Numbers: [34, 6] Generated Node #0,0,2: 53:[34, 6] Operation: 76-70=6 Moving to Node #0,0,0 Current State: 53:[70, 42], Operations: ['75-5=70', '76-34=42'] Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,53 unequal: No Solution Exploring Operation: 70+42=112, Resulting Numbers: [112] 112,53 unequal: No Solution Exploring Operation: 70*42=2940, Resulting Numbers: [2940] 2940,53 unequal: No Solution Moving to Node #0,0,1 Current State: 53:[76, 36], Operations: ['75-5=70', '70-34=36'] Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 76+36=112, Resulting Numbers: [112] 112,53 unequal: No Solution Exploring Operation: 76*36=2736, Resulting Numbers: [2736] 2736,53 unequal: No Solution Moving to Node #0,0,2 Current State: 53:[34, 6], Operations: ['75-5=70', '76-70=6'] Exploring Operation: 34-6=28, Resulting Numbers: [28] 28,53 unequal: No Solution Exploring Operation: 34+6=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 34*6=204, Resulting Numbers: [204] 204,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 53:[75, 76, 39], Operations: ['34+5=39'] Exploring Operation: 76-75=1, Resulting Numbers: [39, 1] Generated Node #0,1,0: 53:[39, 1] Operation: 76-75=1 Exploring Operation: 75-39=36, Resulting Numbers: [76, 36] Generated Node #0,1,1: 53:[76, 36] Operation: 75-39=36 Exploring Operation: 76-39=37, Resulting Numbers: [75, 37] Generated Node #0,1,2: 53:[75, 37] Operation: 76-39=37 Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 53:[75, 37], Operations: ['34+5=39', '76-39=37'] Exploring Operation: 75+37=112, Resulting Numbers: [112] 112,53 unequal: No Solution Exploring Operation: 75*37=2775, Resulting Numbers: [2775] 2775,53 unequal: No Solution Exploring Operation: 75-37=38, Resulting Numbers: [38] 38,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 53:[76, 36], Operations: ['34+5=39', '75-39=36'] Exploring Operation: 76+36=112, Resulting Numbers: [112] 112,53 unequal: No Solution Exploring Operation: 76*36=2736, Resulting Numbers: [2736] 2736,53 unequal: No Solution Exploring Operation: 76-36=40, Resulting Numbers: [40] 40,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 53:[39, 1], Operations: ['34+5=39', '76-75=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,53 unequal: No Solution Exploring Operation: 39+1=40, Resulting Numbers: [40] 40,53 unequal: No Solution Exploring Operation: 39/1=39, Resulting Numbers: [39] 39,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 53:[75, 34, 71], Operations: ['76-5=71'] Exploring Operation: 75-71=4, Resulting Numbers: [34, 4] Generated Node #0,2,0: 53:[34, 4] Operation: 75-71=4 Exploring Operation: 71-34=37, Resulting Numbers: [75, 37] Generated Node #0,2,1: 53:[75, 37] Operation: 71-34=37 Exploring Operation: 75-34=41, Resulting Numbers: [71, 41] Generated Node #0,2,2: 53:[71, 41] Operation: 75-34=41 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 53:[71, 41], Operations: ['76-5=71', '75-34=41'] Exploring Operation: 71-41=30, Resulting Numbers: [30] 30,53 unequal: No Solution Exploring Operation: 71+41=112, Resulting Numbers: [112] 112,53 unequal: No Solution Exploring Operation: 71*41=2911, Resulting Numbers: [2911] 2911,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 53:[75, 37], Operations: ['76-5=71', '71-34=37'] Exploring Operation: 75-37=38, Resulting Numbers: [38] 38,53 unequal: No Solution Exploring Operation: 75+37=112, Resulting Numbers: [112] 112,53 unequal: No Solution Exploring Operation: 75*37=2775, Resulting Numbers: [2775] 2775,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 53:[34, 4], Operations: ['76-5=71', '75-71=4'] Exploring Operation: 34+4=38, Resulting Numbers: [38] 38,53 unequal: No Solution Exploring Operation: 34*4=136, Resulting Numbers: [136] 136,53 unequal: No Solution Exploring Operation: 34-4=30, Resulting Numbers: [30] 30,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 2, 16, 97, 10 ]
84
[ "16+10=26", "26/2=13", "97-13=84" ]
Current State: 84:[2, 16, 97, 10], Operations: [] Exploring Operation: 16+10=26, Resulting Numbers: [2, 97, 26] Generated Node #2: [2, 97, 26] from Operation: 16+10=26 Current State: 84:[2, 97, 26], Operations: ['16+10=26'] Exploring Operation: 26/2=13, Resulting Numbers: [97, 13] Generated Node #3: [97, 13] from Operation: 26/2=13 Current State: 84:[97, 13], Operations: ['16+10=26', '26/2=13'] Exploring Operation: 97-13=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[2, 16, 97, 10], Operations: [] Exploring Operation: 97-2=95, Resulting Numbers: [16, 10, 95] Generated Node #0,0: 84:[16, 10, 95] Operation: 97-2=95 Exploring Operation: 97-16=81, Resulting Numbers: [2, 10, 81] Generated Node #0,1: 84:[2, 10, 81] Operation: 97-16=81 Exploring Operation: 97-10=87, Resulting Numbers: [2, 16, 87] Generated Node #0,2: 84:[2, 16, 87] Operation: 97-10=87 Exploring Operation: 16-2=14, Resulting Numbers: [97, 10, 14] Generated Node #0,3: 84:[97, 10, 14] Operation: 16-2=14 Exploring Operation: 16-10=6, Resulting Numbers: [2, 97, 6] Generated Node #0,4: 84:[2, 97, 6] Operation: 16-10=6 Moving to Node #0,1 Current State: 84:[2, 10, 81], Operations: ['97-16=81'] Exploring Operation: 2+81=83, Resulting Numbers: [10, 83] Generated Node #0,1,0: 84:[10, 83] Operation: 2+81=83 Exploring Operation: 10/2=5, Resulting Numbers: [81, 5] Generated Node #0,1,1: 84:[81, 5] Operation: 10/2=5 Exploring Operation: 2*10=20, Resulting Numbers: [81, 20] Generated Node #0,1,2: 84:[81, 20] Operation: 2*10=20 Exploring Operation: 10-2=8, Resulting Numbers: [81, 8] Generated Node #0,1,3: 84:[81, 8] Operation: 10-2=8 Exploring Operation: 2+10=12, Resulting Numbers: [81, 12] Generated Node #0,1,4: 84:[81, 12] Operation: 2+10=12 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 84:[10, 83], Operations: ['97-16=81', '2+81=83'] Exploring Operation: 10*83=830, Resulting Numbers: [830] 830,84 unequal: No Solution Exploring Operation: 83-10=73, Resulting Numbers: [73] 73,84 unequal: No Solution Exploring Operation: 10+83=93, Resulting Numbers: [93] 93,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 84:[81, 12], Operations: ['97-16=81', '2+10=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 81*12=972, Resulting Numbers: [972] 972,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 84:[81, 5], Operations: ['97-16=81', '10/2=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,84 unequal: No Solution Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,84 unequal: No Solution Exploring Operation: 81*5=405, Resulting Numbers: [405] 405,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 84:[81, 20], Operations: ['97-16=81', '2*10=20'] Exploring Operation: 81+20=101, Resulting Numbers: [101] 101,84 unequal: No Solution Exploring Operation: 81*20=1620, Resulting Numbers: [1620] 1620,84 unequal: No Solution Exploring Operation: 81-20=61, Resulting Numbers: [61] 61,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 84:[81, 8], Operations: ['97-16=81', '10-2=8'] Exploring Operation: 81*8=648, Resulting Numbers: [648] 648,84 unequal: No Solution Exploring Operation: 81-8=73, Resulting Numbers: [73] 73,84 unequal: No Solution Exploring Operation: 81+8=89, Resulting Numbers: [89] 89,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 84:[2, 16, 87], Operations: ['97-10=87'] Exploring Operation: 87-2=85, Resulting Numbers: [16, 85] Generated Node #0,2,0: 84:[16, 85] Operation: 87-2=85 Exploring Operation: 2*16=32, Resulting Numbers: [87, 32] Generated Node #0,2,1: 84:[87, 32] Operation: 2*16=32 Exploring Operation: 16-2=14, Resulting Numbers: [87, 14] Generated Node #0,2,2: 84:[87, 14] Operation: 16-2=14 Exploring Operation: 16/2=8, Resulting Numbers: [87, 8] Generated Node #0,2,3: 84:[87, 8] Operation: 16/2=8 Exploring Operation: 2+16=18, Resulting Numbers: [87, 18] Generated Node #0,2,4: 84:[87, 18] Operation: 2+16=18 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 84:[16, 85], Operations: ['97-10=87', '87-2=85'] Exploring Operation: 16*85=1360, Resulting Numbers: [1360] 1360,84 unequal: No Solution Exploring Operation: 16+85=101, Resulting Numbers: [101] 101,84 unequal: No Solution Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 84:[87, 14], Operations: ['97-10=87', '16-2=14'] Exploring Operation: 87+14=101, Resulting Numbers: [101] 101,84 unequal: No Solution Exploring Operation: 87*14=1218, Resulting Numbers: [1218] 1218,84 unequal: No Solution Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 84:[87, 8], Operations: ['97-10=87', '16/2=8'] Exploring Operation: 87*8=696, Resulting Numbers: [696] 696,84 unequal: No Solution Exploring Operation: 87+8=95, Resulting Numbers: [95] 95,84 unequal: No Solution Exploring Operation: 87-8=79, Resulting Numbers: [79] 79,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 84:[87, 18], Operations: ['97-10=87', '2+16=18'] Exploring Operation: 87*18=1566, Resulting Numbers: [1566] 1566,84 unequal: No Solution Exploring Operation: 87-18=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 87+18=105, Resulting Numbers: [105] 105,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 84:[87, 32], Operations: ['97-10=87', '2*16=32'] Exploring Operation: 87*32=2784, Resulting Numbers: [2784] 2784,84 unequal: No Solution Exploring Operation: 87-32=55, Resulting Numbers: [55] 55,84 unequal: No Solution Exploring Operation: 87+32=119, Resulting Numbers: [119] 119,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 84:[2, 97, 6], Operations: ['16-10=6'] Exploring Operation: 6/2=3, Resulting Numbers: [97, 3] Generated Node #0,4,0: 84:[97, 3] Operation: 6/2=3 Exploring Operation: 2*6=12, Resulting Numbers: [97, 12] Generated Node #0,4,1: 84:[97, 12] Operation: 2*6=12 Exploring Operation: 97-2=95, Resulting Numbers: [6, 95] Generated Node #0,4,2: 84:[6, 95] Operation: 97-2=95 Exploring Operation: 97-6=91, Resulting Numbers: [2, 91] Generated Node #0,4,3: 84:[2, 91] Operation: 97-6=91 Exploring Operation: 6-2=4, Resulting Numbers: [97, 4] Generated Node #0,4,4: 84:[97, 4] Operation: 6-2=4 Start Sub Search at level 1: Moving to Node #0,4,3 Current State: 84:[2, 91], Operations: ['16-10=6', '97-6=91'] Exploring Operation: 91-2=89, Resulting Numbers: [89] 89,84 unequal: No Solution Exploring Operation: 2*91=182, Resulting Numbers: [182] 182,84 unequal: No Solution Exploring Operation: 2+91=93, Resulting Numbers: [93] 93,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,2 Current State: 84:[6, 95], Operations: ['16-10=6', '97-2=95'] Exploring Operation: 6*95=570, Resulting Numbers: [570] 570,84 unequal: No Solution Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,84 unequal: No Solution Exploring Operation: 6+95=101, Resulting Numbers: [101] 101,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,0 Current State: 84:[97, 3], Operations: ['16-10=6', '6/2=3'] Exploring Operation: 97+3=100, Resulting Numbers: [100] 100,84 unequal: No Solution Exploring Operation: 97*3=291, Resulting Numbers: [291] 291,84 unequal: No Solution Exploring Operation: 97-3=94, Resulting Numbers: [94] 94,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,1 Current State: 84:[97, 12], Operations: ['16-10=6', '2*6=12'] Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,84 unequal: No Solution Exploring Operation: 97*12=1164, Resulting Numbers: [1164] 1164,84 unequal: No Solution Exploring Operation: 97+12=109, Resulting Numbers: [109] 109,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4,4 Current State: 84:[97, 4], Operations: ['16-10=6', '6-2=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 97*4=388, Resulting Numbers: [388] 388,84 unequal: No Solution Exploring Operation: 97+4=101, Resulting Numbers: [101] 101,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 84:[16, 10, 95], Operations: ['97-2=95'] Exploring Operation: 95-10=85, Resulting Numbers: [16, 85] Generated Node #0,0,0: 84:[16, 85] Operation: 95-10=85 Exploring Operation: 95-16=79, Resulting Numbers: [10, 79] Generated Node #0,0,1: 84:[10, 79] Operation: 95-16=79 Exploring Operation: 16-10=6, Resulting Numbers: [95, 6] Generated Node #0,0,2: 84:[95, 6] Operation: 16-10=6 Exploring Operation: 16+10=26, Resulting Numbers: [95, 26] Generated Node #0,0,3: 84:[95, 26] Operation: 16+10=26 Exploring Operation: 10+95=105, Resulting Numbers: [16, 105] Generated Node #0,0,4: 84:[16, 105] Operation: 10+95=105 Moving to Node #0,3 Current State: 84:[97, 10, 14], Operations: ['16-2=14'] Exploring Operation: 97+10=107, Resulting Numbers: [14, 107] Generated Node #0,3,0: 84:[14, 107] Operation: 97+10=107 Exploring Operation: 10+14=24, Resulting Numbers: [97, 24] Generated Node #0,3,1: 84:[97, 24] Operation: 10+14=24 Exploring Operation: 97-10=87, Resulting Numbers: [14, 87] Generated Node #0,3,2: 84:[14, 87] Operation: 97-10=87 Exploring Operation: 14-10=4, Resulting Numbers: [97, 4] Generated Node #0,3,3: 84:[97, 4] Operation: 14-10=4 Exploring Operation: 97-14=83, Resulting Numbers: [10, 83] Generated Node #0,3,4: 84:[10, 83] Operation: 97-14=83 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 84:[14, 87], Operations: ['16-2=14', '97-10=87'] Exploring Operation: 87-14=73, Resulting Numbers: [73] 73,84 unequal: No Solution Exploring Operation: 14*87=1218, Resulting Numbers: [1218] 1218,84 unequal: No Solution Exploring Operation: 14+87=101, Resulting Numbers: [101] 101,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 84:[10, 83], Operations: ['16-2=14', '97-14=83'] Exploring Operation: 10*83=830, Resulting Numbers: [830] 830,84 unequal: No Solution Exploring Operation: 83-10=73, Resulting Numbers: [73] 73,84 unequal: No Solution Exploring Operation: 10+83=93, Resulting Numbers: [93] 93,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 84:[97, 4], Operations: ['16-2=14', '14-10=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 97*4=388, Resulting Numbers: [388] 388,84 unequal: No Solution Exploring Operation: 97+4=101, Resulting Numbers: [101] 101,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 84:[97, 24], Operations: ['16-2=14', '10+14=24'] Exploring Operation: 97*24=2328, Resulting Numbers: [2328] 2328,84 unequal: No Solution Exploring Operation: 97+24=121, Resulting Numbers: [121] 121,84 unequal: No Solution Exploring Operation: 97-24=73, Resulting Numbers: [73] 73,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 84:[14, 107], Operations: ['16-2=14', '97+10=107'] Exploring Operation: 14+107=121, Resulting Numbers: [121] 121,84 unequal: No Solution Exploring Operation: 107-14=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 14*107=1498, Resulting Numbers: [1498] 1498,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0,0 Current State: 84:[16, 85], Operations: ['97-2=95', '95-10=85'] Exploring Operation: 16+85=101, Resulting Numbers: [101] 101,84 unequal: No Solution Exploring Operation: 16*85=1360, Resulting Numbers: [1360] 1360,84 unequal: No Solution Exploring Operation: 85-16=69, Resulting Numbers: [69] 69,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[10, 79], Operations: ['97-2=95', '95-16=79'] Exploring Operation: 10*79=790, Resulting Numbers: [790] 790,84 unequal: No Solution Exploring Operation: 79-10=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 10+79=89, Resulting Numbers: [89] 89,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[95, 6], Operations: ['97-2=95', '16-10=6'] Exploring Operation: 95*6=570, Resulting Numbers: [570] 570,84 unequal: No Solution Exploring Operation: 95+6=101, Resulting Numbers: [101] 101,84 unequal: No Solution Exploring Operation: 95-6=89, Resulting Numbers: [89] 89,84 unequal: No Solution Moving to Node #0,0,3 Current State: 84:[95, 26], Operations: ['97-2=95', '16+10=26'] Exploring Operation: 95+26=121, Resulting Numbers: [121] 121,84 unequal: No Solution Exploring Operation: 95*26=2470, Resulting Numbers: [2470] 2470,84 unequal: No Solution Exploring Operation: 95-26=69, Resulting Numbers: [69] 69,84 unequal: No Solution Moving to Node #0,0,4 Current State: 84:[16, 105], Operations: ['97-2=95', '10+95=105'] Exploring Operation: 16+105=121, Resulting Numbers: [121] 121,84 unequal: No Solution Exploring Operation: 105-16=89, Resulting Numbers: [89] 89,84 unequal: No Solution Exploring Operation: 16*105=1680, Resulting Numbers: [1680] 1680,84 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 81, 30, 11, 43 ]
20
[ "11+43=54", "30*54=1620", "1620/81=20" ]
Current State: 20:[81, 30, 11, 43], Operations: [] Exploring Operation: 11+43=54, Resulting Numbers: [81, 30, 54] Generated Node #2: [81, 30, 54] from Operation: 11+43=54 Current State: 20:[81, 30, 54], Operations: ['11+43=54'] Exploring Operation: 30*54=1620, Resulting Numbers: [81, 1620] Generated Node #3: [81, 1620] from Operation: 30*54=1620 Current State: 20:[81, 1620], Operations: ['11+43=54', '30*54=1620'] Exploring Operation: 1620/81=20, Resulting Numbers: [20] 20,20 equal: Goal Reached
4
Current State: 20:[81, 30, 11, 43], Operations: [] Exploring Operation: 43-30=13, Resulting Numbers: [81, 11, 13] Generated Node #0,0: 20:[81, 11, 13] Operation: 43-30=13 Exploring Operation: 81-11=70, Resulting Numbers: [30, 43, 70] Generated Node #0,1: 20:[30, 43, 70] Operation: 81-11=70 Exploring Operation: 81-30=51, Resulting Numbers: [11, 43, 51] Generated Node #0,2: 20:[11, 43, 51] Operation: 81-30=51 Exploring Operation: 81-43=38, Resulting Numbers: [30, 11, 38] Generated Node #0,3: 20:[30, 11, 38] Operation: 81-43=38 Exploring Operation: 43-11=32, Resulting Numbers: [81, 30, 32] Generated Node #0,4: 20:[81, 30, 32] Operation: 43-11=32 Start Sub Search at level 1: Moving to Node #0,3 Current State: 20:[30, 11, 38], Operations: ['81-43=38'] Exploring Operation: 38-11=27, Resulting Numbers: [30, 27] Generated Node #0,3,0: 20:[30, 27] Operation: 38-11=27 Exploring Operation: 11+38=49, Resulting Numbers: [30, 49] Generated Node #0,3,1: 20:[30, 49] Operation: 11+38=49 Exploring Operation: 30-11=19, Resulting Numbers: [38, 19] Generated Node #0,3,2: 20:[38, 19] Operation: 30-11=19 Exploring Operation: 30+11=41, Resulting Numbers: [38, 41] Generated Node #0,3,3: 20:[38, 41] Operation: 30+11=41 Exploring Operation: 38-30=8, Resulting Numbers: [11, 8] Generated Node #0,3,4: 20:[11, 8] Operation: 38-30=8 Moving to Node #0,3,4 Current State: 20:[11, 8], Operations: ['81-43=38', '38-30=8'] Exploring Operation: 11+8=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 11-8=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,20 unequal: No Solution Moving to Node #0,3,0 Current State: 20:[30, 27], Operations: ['81-43=38', '38-11=27'] Exploring Operation: 30*27=810, Resulting Numbers: [810] 810,20 unequal: No Solution Exploring Operation: 30-27=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 30+27=57, Resulting Numbers: [57] 57,20 unequal: No Solution Moving to Node #0,3,2 Current State: 20:[38, 19], Operations: ['81-43=38', '30-11=19'] Exploring Operation: 38/19=2, Resulting Numbers: [2] 2,20 unequal: No Solution Exploring Operation: 38*19=722, Resulting Numbers: [722] 722,20 unequal: No Solution Exploring Operation: 38-19=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 38+19=57, Resulting Numbers: [57] 57,20 unequal: No Solution Moving to Node #0,3,1 Current State: 20:[30, 49], Operations: ['81-43=38', '11+38=49'] Exploring Operation: 30+49=79, Resulting Numbers: [79] 79,20 unequal: No Solution Exploring Operation: 30*49=1470, Resulting Numbers: [1470] 1470,20 unequal: No Solution Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,20 unequal: No Solution Moving to Node #0,3,3 Current State: 20:[38, 41], Operations: ['81-43=38', '30+11=41'] Exploring Operation: 38*41=1558, Resulting Numbers: [1558] 1558,20 unequal: No Solution Exploring Operation: 41-38=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 38+41=79, Resulting Numbers: [79] 79,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 20:[11, 43, 51], Operations: ['81-30=51'] Exploring Operation: 11+43=54, Resulting Numbers: [51, 54] Generated Node #0,2,0: 20:[51, 54] Operation: 11+43=54 Exploring Operation: 51-11=40, Resulting Numbers: [43, 40] Generated Node #0,2,1: 20:[43, 40] Operation: 51-11=40 Exploring Operation: 11+51=62, Resulting Numbers: [43, 62] Generated Node #0,2,2: 20:[43, 62] Operation: 11+51=62 Exploring Operation: 51-43=8, Resulting Numbers: [11, 8] Generated Node #0,2,3: 20:[11, 8] Operation: 51-43=8 Exploring Operation: 43-11=32, Resulting Numbers: [51, 32] Generated Node #0,2,4: 20:[51, 32] Operation: 43-11=32 Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 20:[11, 8], Operations: ['81-30=51', '51-43=8'] Exploring Operation: 11*8=88, Resulting Numbers: [88] 88,20 unequal: No Solution Exploring Operation: 11-8=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 11+8=19, Resulting Numbers: [19] 19,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 20:[43, 40], Operations: ['81-30=51', '51-11=40'] Exploring Operation: 43*40=1720, Resulting Numbers: [1720] 1720,20 unequal: No Solution Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,20 unequal: No Solution Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 20:[51, 32], Operations: ['81-30=51', '43-11=32'] Exploring Operation: 51+32=83, Resulting Numbers: [83] 83,20 unequal: No Solution Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 51*32=1632, Resulting Numbers: [1632] 1632,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 20:[51, 54], Operations: ['81-30=51', '11+43=54'] Exploring Operation: 54-51=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 51*54=2754, Resulting Numbers: [2754] 2754,20 unequal: No Solution Exploring Operation: 51+54=105, Resulting Numbers: [105] 105,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 20:[43, 62], Operations: ['81-30=51', '11+51=62'] Exploring Operation: 62-43=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 43*62=2666, Resulting Numbers: [2666] 2666,20 unequal: No Solution Exploring Operation: 43+62=105, Resulting Numbers: [105] 105,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 20:[81, 11, 13], Operations: ['43-30=13'] Exploring Operation: 11+13=24, Resulting Numbers: [81, 24] Generated Node #0,0,0: 20:[81, 24] Operation: 11+13=24 Exploring Operation: 81-13=68, Resulting Numbers: [11, 68] Generated Node #0,0,1: 20:[11, 68] Operation: 81-13=68 Exploring Operation: 81+11=92, Resulting Numbers: [13, 92] Generated Node #0,0,2: 20:[13, 92] Operation: 81+11=92 Exploring Operation: 13-11=2, Resulting Numbers: [81, 2] Generated Node #0,0,3: 20:[81, 2] Operation: 13-11=2 Exploring Operation: 81-11=70, Resulting Numbers: [13, 70] Generated Node #0,0,4: 20:[13, 70] Operation: 81-11=70 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 20:[11, 68], Operations: ['43-30=13', '81-13=68'] Exploring Operation: 11*68=748, Resulting Numbers: [748] 748,20 unequal: No Solution Exploring Operation: 11+68=79, Resulting Numbers: [79] 79,20 unequal: No Solution Exploring Operation: 68-11=57, Resulting Numbers: [57] 57,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 20:[13, 70], Operations: ['43-30=13', '81-11=70'] Exploring Operation: 70-13=57, Resulting Numbers: [57] 57,20 unequal: No Solution Exploring Operation: 13*70=910, Resulting Numbers: [910] 910,20 unequal: No Solution Exploring Operation: 13+70=83, Resulting Numbers: [83] 83,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 20:[81, 2], Operations: ['43-30=13', '13-11=2'] Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,20 unequal: No Solution Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,20 unequal: No Solution Exploring Operation: 81*2=162, Resulting Numbers: [162] 162,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 20:[81, 24], Operations: ['43-30=13', '11+13=24'] Exploring Operation: 81-24=57, Resulting Numbers: [57] 57,20 unequal: No Solution Exploring Operation: 81+24=105, Resulting Numbers: [105] 105,20 unequal: No Solution Exploring Operation: 81*24=1944, Resulting Numbers: [1944] 1944,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 20:[13, 92], Operations: ['43-30=13', '81+11=92'] Exploring Operation: 13+92=105, Resulting Numbers: [105] 105,20 unequal: No Solution Exploring Operation: 13*92=1196, Resulting Numbers: [1196] 1196,20 unequal: No Solution Exploring Operation: 92-13=79, Resulting Numbers: [79] 79,20 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 20:[30, 43, 70], Operations: ['81-11=70'] Exploring Operation: 30+70=100, Resulting Numbers: [43, 100] Generated Node #0,1,0: 20:[43, 100] Operation: 30+70=100 Exploring Operation: 70-43=27, Resulting Numbers: [30, 27] Generated Node #0,1,1: 20:[30, 27] Operation: 70-43=27 Exploring Operation: 30+43=73, Resulting Numbers: [70, 73] Generated Node #0,1,2: 20:[70, 73] Operation: 30+43=73 Exploring Operation: 70-30=40, Resulting Numbers: [43, 40] Generated Node #0,1,3: 20:[43, 40] Operation: 70-30=40 Exploring Operation: 43-30=13, Resulting Numbers: [70, 13] Generated Node #0,1,4: 20:[70, 13] Operation: 43-30=13 Moving to Node #0,1,1 Current State: 20:[30, 27], Operations: ['81-11=70', '70-43=27'] Exploring Operation: 30+27=57, Resulting Numbers: [57] 57,20 unequal: No Solution Exploring Operation: 30-27=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 30*27=810, Resulting Numbers: [810] 810,20 unequal: No Solution Moving to Node #0,1,3 Current State: 20:[43, 40], Operations: ['81-11=70', '70-30=40'] Exploring Operation: 43+40=83, Resulting Numbers: [83] 83,20 unequal: No Solution Exploring Operation: 43-40=3, Resulting Numbers: [3] 3,20 unequal: No Solution Exploring Operation: 43*40=1720, Resulting Numbers: [1720] 1720,20 unequal: No Solution Moving to Node #0,1,4 Current State: 20:[70, 13], Operations: ['81-11=70', '43-30=13'] Exploring Operation: 70-13=57, Resulting Numbers: [57] 57,20 unequal: No Solution Exploring Operation: 70+13=83, Resulting Numbers: [83] 83,20 unequal: No Solution Exploring Operation: 70*13=910, Resulting Numbers: [910] 910,20 unequal: No Solution Moving to Node #0,1,0 Current State: 20:[43, 100], Operations: ['81-11=70', '30+70=100'] Exploring Operation: 43*100=4300, Resulting Numbers: [4300] 4300,20 unequal: No Solution Exploring Operation: 43+100=143, Resulting Numbers: [143] 143,20 unequal: No Solution Exploring Operation: 100-43=57, Resulting Numbers: [57] 57,20 unequal: No Solution Moving to Node #0,1,2 Current State: 20:[70, 73], Operations: ['81-11=70', '30+43=73'] Exploring Operation: 70+73=143, Resulting Numbers: [143] 143,20 unequal: No Solution Exploring Operation: 70*73=5110, Resulting Numbers: [5110] 5110,20 unequal: No Solution Exploring Operation: 73-70=3, Resulting Numbers: [3] 3,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 20:[81, 30, 32], Operations: ['43-11=32'] Exploring Operation: 81+32=113, Resulting Numbers: [30, 113] Generated Node #0,4,0: 20:[30, 113] Operation: 81+32=113 Exploring Operation: 81+30=111, Resulting Numbers: [32, 111] Generated Node #0,4,1: 20:[32, 111] Operation: 81+30=111 Exploring Operation: 81-30=51, Resulting Numbers: [32, 51] Generated Node #0,4,2: 20:[32, 51] Operation: 81-30=51 Exploring Operation: 32-30=2, Resulting Numbers: [81, 2] Generated Node #0,4,3: 20:[81, 2] Operation: 32-30=2 Exploring Operation: 81-32=49, Resulting Numbers: [30, 49] Generated Node #0,4,4: 20:[30, 49] Operation: 81-32=49 Moving to Node #0,4,4 Current State: 20:[30, 49], Operations: ['43-11=32', '81-32=49'] Exploring Operation: 30+49=79, Resulting Numbers: [79] 79,20 unequal: No Solution Exploring Operation: 30*49=1470, Resulting Numbers: [1470] 1470,20 unequal: No Solution Exploring Operation: 49-30=19, Resulting Numbers: [19] 19,20 unequal: No Solution Moving to Node #0,4,2 Current State: 20:[32, 51], Operations: ['43-11=32', '81-30=51'] Exploring Operation: 51-32=19, Resulting Numbers: [19] 19,20 unequal: No Solution Exploring Operation: 32+51=83, Resulting Numbers: [83] 83,20 unequal: No Solution Exploring Operation: 32*51=1632, Resulting Numbers: [1632] 1632,20 unequal: No Solution Moving to Node #0,4,3 Current State: 20:[81, 2], Operations: ['43-11=32', '32-30=2'] Exploring Operation: 81*2=162, Resulting Numbers: [162] 162,20 unequal: No Solution Exploring Operation: 81-2=79, Resulting Numbers: [79] 79,20 unequal: No Solution Exploring Operation: 81+2=83, Resulting Numbers: [83] 83,20 unequal: No Solution Moving to Node #0,4,0 Current State: 20:[30, 113], Operations: ['43-11=32', '81+32=113'] Exploring Operation: 30+113=143, Resulting Numbers: [143] 143,20 unequal: No Solution Exploring Operation: 30*113=3390, Resulting Numbers: [3390] 3390,20 unequal: No Solution Exploring Operation: 113-30=83, Resulting Numbers: [83] 83,20 unequal: No Solution Moving to Node #0,4,1 Current State: 20:[32, 111], Operations: ['43-11=32', '81+30=111'] Exploring Operation: 32+111=143, Resulting Numbers: [143] 143,20 unequal: No Solution Exploring Operation: 111-32=79, Resulting Numbers: [79] 79,20 unequal: No Solution Exploring Operation: 32*111=3552, Resulting Numbers: [3552] 3552,20 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 24, 58, 22, 30 ]
30
[ "24+58=82", "22+30=52", "82-52=30" ]
Current State: 30:[24, 58, 22, 30], Operations: [] Exploring Operation: 24+58=82, Resulting Numbers: [22, 30, 82] Generated Node #2: [22, 30, 82] from Operation: 24+58=82 Current State: 30:[22, 30, 82], Operations: ['24+58=82'] Exploring Operation: 22+30=52, Resulting Numbers: [82, 52] Generated Node #3: [82, 52] from Operation: 22+30=52 Current State: 30:[82, 52], Operations: ['24+58=82', '22+30=52'] Exploring Operation: 82-52=30, Resulting Numbers: [30] 30,30 equal: Goal Reached
4
Current State: 30:[24, 58, 22, 30], Operations: [] Exploring Operation: 58-24=34, Resulting Numbers: [22, 30, 34] Generated Node #0,0: 30:[22, 30, 34] Operation: 58-24=34 Exploring Operation: 58-30=28, Resulting Numbers: [24, 22, 28] Generated Node #0,1: 30:[24, 22, 28] Operation: 58-30=28 Exploring Operation: 58-22=36, Resulting Numbers: [24, 30, 36] Generated Node #0,2: 30:[24, 30, 36] Operation: 58-22=36 Moving to Node #0,0 Current State: 30:[22, 30, 34], Operations: ['58-24=34'] Exploring Operation: 34-22=12, Resulting Numbers: [30, 12] Generated Node #0,0,0: 30:[30, 12] Operation: 34-22=12 Exploring Operation: 34-30=4, Resulting Numbers: [22, 4] Generated Node #0,0,1: 30:[22, 4] Operation: 34-30=4 Exploring Operation: 30-22=8, Resulting Numbers: [34, 8] Generated Node #0,0,2: 30:[34, 8] Operation: 30-22=8 Moving to Node #0,2 Current State: 30:[24, 30, 36], Operations: ['58-22=36'] Exploring Operation: 36-24=12, Resulting Numbers: [30, 12] Generated Node #0,2,0: 30:[30, 12] Operation: 36-24=12 Exploring Operation: 36-30=6, Resulting Numbers: [24, 6] Generated Node #0,2,1: 30:[24, 6] Operation: 36-30=6 Exploring Operation: 30-24=6, Resulting Numbers: [36, 6] Generated Node #0,2,2: 30:[36, 6] Operation: 30-24=6 Moving to Node #0,1 Current State: 30:[24, 22, 28], Operations: ['58-30=28'] Exploring Operation: 24-22=2, Resulting Numbers: [28, 2] Generated Node #0,1,0: 30:[28, 2] Operation: 24-22=2 Exploring Operation: 28-24=4, Resulting Numbers: [22, 4] Generated Node #0,1,1: 30:[22, 4] Operation: 28-24=4 Exploring Operation: 28-22=6, Resulting Numbers: [24, 6] Generated Node #0,1,2: 30:[24, 6] Operation: 28-22=6 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 30:[28, 2], Operations: ['58-30=28', '24-22=2'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,30 unequal: No Solution Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,30 unequal: No Solution Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Moving to Node #0 Current State: 30:[24, 58, 22, 30], Operations: [] Exploring Operation: 58-30=28, Resulting Numbers: [24, 22, 28] Generated Node #0,1: 30:[24, 22, 28] Operation: 58-30=28 Moving to Node #0,1 Current State: 30:[24, 22, 28], Operations: ['58-30=28'] Exploring Operation: 24-22=2, Resulting Numbers: [28, 2] Generated Node #0,1,0: 30:[28, 2] Operation: 24-22=2 Moving to Node #0,1,0 Current State: 30:[28, 2], Operations: ['58-30=28', '24-22=2'] Exploring Operation: 28+2=30, Resulting Numbers: [30] 30,30 equal: Goal Reached Exit Sub Search at level 1
0.983507
hs_3
sum_heuristic
[ 34, 11, 75, 51 ]
81
[ "34+11=45", "75+51=126", "126-45=81" ]
Current State: 81:[34, 11, 75, 51], Operations: [] Exploring Operation: 34+11=45, Resulting Numbers: [75, 51, 45] Generated Node #2: [75, 51, 45] from Operation: 34+11=45 Current State: 81:[75, 51, 45], Operations: ['34+11=45'] Exploring Operation: 75+51=126, Resulting Numbers: [45, 126] Generated Node #3: [45, 126] from Operation: 75+51=126 Current State: 81:[45, 126], Operations: ['34+11=45', '75+51=126'] Exploring Operation: 126-45=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[34, 11, 75, 51], Operations: [] Exploring Operation: 34+51=85, Resulting Numbers: [11, 75, 85] Generated Node #0,0: 81:[11, 75, 85] Operation: 34+51=85 Exploring Operation: 51-34=17, Resulting Numbers: [11, 75, 17] Generated Node #0,1: 81:[11, 75, 17] Operation: 51-34=17 Exploring Operation: 75-51=24, Resulting Numbers: [34, 11, 24] Generated Node #0,2: 81:[34, 11, 24] Operation: 75-51=24 Moving to Node #0,0 Current State: 81:[11, 75, 85], Operations: ['34+51=85'] Exploring Operation: 11+75=86, Resulting Numbers: [85, 86] Generated Node #0,0,0: 81:[85, 86] Operation: 11+75=86 Exploring Operation: 85-11=74, Resulting Numbers: [75, 74] Generated Node #0,0,1: 81:[75, 74] Operation: 85-11=74 Exploring Operation: 85-75=10, Resulting Numbers: [11, 10] Generated Node #0,0,2: 81:[11, 10] Operation: 85-75=10 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 81:[11, 10], Operations: ['34+51=85', '85-75=10'] Exploring Operation: 11*10=110, Resulting Numbers: [110] 110,81 unequal: No Solution Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,81 unequal: No Solution Exploring Operation: 11-10=1, Resulting Numbers: [1] 1,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 81:[85, 86], Operations: ['34+51=85', '11+75=86'] Exploring Operation: 85*86=7310, Resulting Numbers: [7310] 7310,81 unequal: No Solution Exploring Operation: 85+86=171, Resulting Numbers: [171] 171,81 unequal: No Solution Exploring Operation: 86-85=1, Resulting Numbers: [1] 1,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 81:[75, 74], Operations: ['34+51=85', '85-11=74'] Exploring Operation: 75*74=5550, Resulting Numbers: [5550] 5550,81 unequal: No Solution Exploring Operation: 75-74=1, Resulting Numbers: [1] 1,81 unequal: No Solution Exploring Operation: 75+74=149, Resulting Numbers: [149] 149,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 81:[34, 11, 24], Operations: ['75-51=24'] Exploring Operation: 24-11=13, Resulting Numbers: [34, 13] Generated Node #0,2,0: 81:[34, 13] Operation: 24-11=13 Exploring Operation: 34-24=10, Resulting Numbers: [11, 10] Generated Node #0,2,1: 81:[11, 10] Operation: 34-24=10 Exploring Operation: 34-11=23, Resulting Numbers: [24, 23] Generated Node #0,2,2: 81:[24, 23] Operation: 34-11=23 Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 81:[11, 10], Operations: ['75-51=24', '34-24=10'] Exploring Operation: 11-10=1, Resulting Numbers: [1] 1,81 unequal: No Solution Exploring Operation: 11+10=21, Resulting Numbers: [21] 21,81 unequal: No Solution Exploring Operation: 11*10=110, Resulting Numbers: [110] 110,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 81:[24, 23], Operations: ['75-51=24', '34-11=23'] Exploring Operation: 24-23=1, Resulting Numbers: [1] 1,81 unequal: No Solution Exploring Operation: 24+23=47, Resulting Numbers: [47] 47,81 unequal: No Solution Exploring Operation: 24*23=552, Resulting Numbers: [552] 552,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 81:[34, 13], Operations: ['75-51=24', '24-11=13'] Exploring Operation: 34-13=21, Resulting Numbers: [21] 21,81 unequal: No Solution Exploring Operation: 34*13=442, Resulting Numbers: [442] 442,81 unequal: No Solution Exploring Operation: 34+13=47, Resulting Numbers: [47] 47,81 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 81:[11, 75, 17], Operations: ['51-34=17'] Exploring Operation: 11+17=28, Resulting Numbers: [75, 28] Generated Node #0,1,0: 81:[75, 28] Operation: 11+17=28 Exploring Operation: 11+75=86, Resulting Numbers: [17, 86] Generated Node #0,1,1: 81:[17, 86] Operation: 11+75=86 Exploring Operation: 17-11=6, Resulting Numbers: [75, 6] Generated Node #0,1,2: 81:[75, 6] Operation: 17-11=6 Moving to Node #0,1,0 Current State: 81:[75, 28], Operations: ['51-34=17', '11+17=28'] Exploring Operation: 75-28=47, Resulting Numbers: [47] 47,81 unequal: No Solution Exploring Operation: 75+28=103, Resulting Numbers: [103] 103,81 unequal: No Solution Exploring Operation: 75*28=2100, Resulting Numbers: [2100] 2100,81 unequal: No Solution Moving to Node #0,1,2 Current State: 81:[75, 6], Operations: ['51-34=17', '17-11=6'] Exploring Operation: 75*6=450, Resulting Numbers: [450] 450,81 unequal: No Solution Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[34, 11, 75, 51], Operations: [] Exploring Operation: 51-34=17, Resulting Numbers: [11, 75, 17] Generated Node #0,1: 81:[11, 75, 17] Operation: 51-34=17 Moving to Node #0,1 Current State: 81:[11, 75, 17], Operations: ['51-34=17'] Exploring Operation: 17-11=6, Resulting Numbers: [75, 6] Generated Node #0,1,2: 81:[75, 6] Operation: 17-11=6 Moving to Node #0,1,2 Current State: 81:[75, 6], Operations: ['51-34=17', '17-11=6'] Exploring Operation: 75+6=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
0.966146
hs_3
sum_heuristic
[ 59, 64, 90, 37 ]
48
[ "64-59=5", "90-37=53", "53-5=48" ]
Current State: 48:[59, 64, 90, 37], Operations: [] Exploring Operation: 64-59=5, Resulting Numbers: [90, 37, 5] Generated Node #2: [90, 37, 5] from Operation: 64-59=5 Current State: 48:[90, 37, 5], Operations: ['64-59=5'] Exploring Operation: 90-37=53, Resulting Numbers: [5, 53] Generated Node #3: [5, 53] from Operation: 90-37=53 Current State: 48:[5, 53], Operations: ['64-59=5', '90-37=53'] Exploring Operation: 53-5=48, Resulting Numbers: [48] 48,48 equal: Goal Reached
4
Current State: 48:[59, 64, 90, 37], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [59, 37, 26] Generated Node #0,0: 48:[59, 37, 26] Operation: 90-64=26 Exploring Operation: 90-37=53, Resulting Numbers: [59, 64, 53] Generated Node #0,1: 48:[59, 64, 53] Operation: 90-37=53 Exploring Operation: 90-59=31, Resulting Numbers: [64, 37, 31] Generated Node #0,2: 48:[64, 37, 31] Operation: 90-59=31 Exploring Operation: 64-37=27, Resulting Numbers: [59, 90, 27] Generated Node #0,3: 48:[59, 90, 27] Operation: 64-37=27 Exploring Operation: 64-59=5, Resulting Numbers: [90, 37, 5] Generated Node #0,4: 48:[90, 37, 5] Operation: 64-59=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 48:[59, 37, 26], Operations: ['90-64=26'] Exploring Operation: 59-37=22, Resulting Numbers: [26, 22] Generated Node #0,0,0: 48:[26, 22] Operation: 59-37=22 Exploring Operation: 37+26=63, Resulting Numbers: [59, 63] Generated Node #0,0,1: 48:[59, 63] Operation: 37+26=63 Exploring Operation: 37-26=11, Resulting Numbers: [59, 11] Generated Node #0,0,2: 48:[59, 11] Operation: 37-26=11 Exploring Operation: 59-26=33, Resulting Numbers: [37, 33] Generated Node #0,0,3: 48:[37, 33] Operation: 59-26=33 Exploring Operation: 59+26=85, Resulting Numbers: [37, 85] Generated Node #0,0,4: 48:[37, 85] Operation: 59+26=85 Moving to Node #0,0,0 Current State: 48:[26, 22], Operations: ['90-64=26', '59-37=22'] Exploring Operation: 26*22=572, Resulting Numbers: [572] 572,48 unequal: No Solution Exploring Operation: 26-22=4, Resulting Numbers: [4] 4,48 unequal: No Solution Exploring Operation: 26+22=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Moving to Node #0 Current State: 48:[59, 64, 90, 37], Operations: [] Exploring Operation: 90-64=26, Resulting Numbers: [59, 37, 26] Generated Node #0,0: 48:[59, 37, 26] Operation: 90-64=26 Moving to Node #0,0 Current State: 48:[59, 37, 26], Operations: ['90-64=26'] Exploring Operation: 59-37=22, Resulting Numbers: [26, 22] Generated Node #0,0,0: 48:[26, 22] Operation: 59-37=22 Moving to Node #0,0,0 Current State: 48:[26, 22], Operations: ['90-64=26', '59-37=22'] Exploring Operation: 26+22=48, Resulting Numbers: [48] 48,48 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
sum_heuristic
[ 10, 6, 97, 94 ]
42
[ "97-10=87", "94-87=7", "6*7=42" ]
Current State: 42:[10, 6, 97, 94], Operations: [] Exploring Operation: 97-10=87, Resulting Numbers: [6, 94, 87] Generated Node #2: [6, 94, 87] from Operation: 97-10=87 Current State: 42:[6, 94, 87], Operations: ['97-10=87'] Exploring Operation: 94-87=7, Resulting Numbers: [6, 7] Generated Node #3: [6, 7] from Operation: 94-87=7 Current State: 42:[6, 7], Operations: ['97-10=87', '94-87=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached
4
Current State: 42:[10, 6, 97, 94], Operations: [] Exploring Operation: 97-10=87, Resulting Numbers: [6, 94, 87] Generated Node #0,0: 42:[6, 94, 87] Operation: 97-10=87 Exploring Operation: 97-94=3, Resulting Numbers: [10, 6, 3] Generated Node #0,1: 42:[10, 6, 3] Operation: 97-94=3 Moving to Node #0,1 Current State: 42:[10, 6, 3], Operations: ['97-94=3'] Exploring Operation: 10-3=7, Resulting Numbers: [6, 7] Generated Node #0,1,0: 42:[6, 7] Operation: 10-3=7 Exploring Operation: 10-6=4, Resulting Numbers: [3, 4] Generated Node #0,1,1: 42:[3, 4] Operation: 10-6=4 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 42:[6, 7], Operations: ['97-94=3', '10-3=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Moving to Node #0 Current State: 42:[10, 6, 97, 94], Operations: [] Exploring Operation: 97-94=3, Resulting Numbers: [10, 6, 3] Generated Node #0,1: 42:[10, 6, 3] Operation: 97-94=3 Moving to Node #0,1 Current State: 42:[10, 6, 3], Operations: ['97-94=3'] Exploring Operation: 10-3=7, Resulting Numbers: [6, 7] Generated Node #0,1,0: 42:[6, 7] Operation: 10-3=7 Moving to Node #0,1,0 Current State: 42:[6, 7], Operations: ['97-94=3', '10-3=7'] Exploring Operation: 6*7=42, Resulting Numbers: [42] 42,42 equal: Goal Reached Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 15, 5, 13, 93 ]
18
[ "15/5=3", "93/3=31", "31-13=18" ]
Current State: 18:[15, 5, 13, 93], Operations: [] Exploring Operation: 15/5=3, Resulting Numbers: [13, 93, 3] Generated Node #2: [13, 93, 3] from Operation: 15/5=3 Current State: 18:[13, 93, 3], Operations: ['15/5=3'] Exploring Operation: 93/3=31, Resulting Numbers: [13, 31] Generated Node #3: [13, 31] from Operation: 93/3=31 Current State: 18:[13, 31], Operations: ['15/5=3', '93/3=31'] Exploring Operation: 31-13=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[15, 5, 13, 93], Operations: [] Exploring Operation: 93-13=80, Resulting Numbers: [15, 5, 80] Generated Node #0,0: 18:[15, 5, 80] Operation: 93-13=80 Exploring Operation: 93-15=78, Resulting Numbers: [5, 13, 78] Generated Node #0,1: 18:[5, 13, 78] Operation: 93-15=78 Exploring Operation: 15-13=2, Resulting Numbers: [5, 93, 2] Generated Node #0,2: 18:[5, 93, 2] Operation: 15-13=2 Moving to Node #0,1 Current State: 18:[5, 13, 78], Operations: ['93-15=78'] Exploring Operation: 78-13=65, Resulting Numbers: [5, 65] Generated Node #0,1,0: 18:[5, 65] Operation: 78-13=65 Exploring Operation: 78-5=73, Resulting Numbers: [13, 73] Generated Node #0,1,1: 18:[13, 73] Operation: 78-5=73 Exploring Operation: 78/13=6, Resulting Numbers: [5, 6] Generated Node #0,1,2: 18:[5, 6] Operation: 78/13=6 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 18:[5, 6], Operations: ['93-15=78', '78/13=6'] Exploring Operation: 5+6=11, Resulting Numbers: [11] 11,18 unequal: No Solution Exploring Operation: 5*6=30, Resulting Numbers: [30] 30,18 unequal: No Solution Exploring Operation: 6-5=1, Resulting Numbers: [1] 1,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 18:[5, 65], Operations: ['93-15=78', '78-13=65'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,18 unequal: No Solution Exploring Operation: 5+65=70, Resulting Numbers: [70] 70,18 unequal: No Solution Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 18:[13, 73], Operations: ['93-15=78', '78-5=73'] Exploring Operation: 13+73=86, Resulting Numbers: [86] 86,18 unequal: No Solution Exploring Operation: 73-13=60, Resulting Numbers: [60] 60,18 unequal: No Solution Exploring Operation: 13*73=949, Resulting Numbers: [949] 949,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 18:[15, 5, 80], Operations: ['93-13=80'] Exploring Operation: 80-5=75, Resulting Numbers: [15, 75] Generated Node #0,0,0: 18:[15, 75] Operation: 80-5=75 Exploring Operation: 80-15=65, Resulting Numbers: [5, 65] Generated Node #0,0,1: 18:[5, 65] Operation: 80-15=65 Exploring Operation: 80/5=16, Resulting Numbers: [15, 16] Generated Node #0,0,2: 18:[15, 16] Operation: 80/5=16 Moving to Node #0,2 Current State: 18:[5, 93, 2], Operations: ['15-13=2'] Exploring Operation: 93-2=91, Resulting Numbers: [5, 91] Generated Node #0,2,0: 18:[5, 91] Operation: 93-2=91 Exploring Operation: 5-2=3, Resulting Numbers: [93, 3] Generated Node #0,2,1: 18:[93, 3] Operation: 5-2=3 Exploring Operation: 93-5=88, Resulting Numbers: [2, 88] Generated Node #0,2,2: 18:[2, 88] Operation: 93-5=88 Moving to Node #0,0,2 Current State: 18:[15, 16], Operations: ['93-13=80', '80/5=16'] Exploring Operation: 15*16=240, Resulting Numbers: [240] 240,18 unequal: No Solution Exploring Operation: 15+16=31, Resulting Numbers: [31] 31,18 unequal: No Solution Exploring Operation: 16-15=1, Resulting Numbers: [1] 1,18 unequal: No Solution Moving to Node #0,0,1 Current State: 18:[5, 65], Operations: ['93-13=80', '80-15=65'] Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,18 unequal: No Solution Exploring Operation: 5+65=70, Resulting Numbers: [70] 70,18 unequal: No Solution Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,18 unequal: No Solution Moving to Node #0,0,0 Current State: 18:[15, 75], Operations: ['93-13=80', '80-5=75'] Exploring Operation: 75-15=60, Resulting Numbers: [60] 60,18 unequal: No Solution Exploring Operation: 75/15=5, Resulting Numbers: [5] 5,18 unequal: No Solution Exploring Operation: 15+75=90, Resulting Numbers: [90] 90,18 unequal: No Solution Moving to Node #0,2,2 Current State: 18:[2, 88], Operations: ['15-13=2', '93-5=88'] Exploring Operation: 88-2=86, Resulting Numbers: [86] 86,18 unequal: No Solution Exploring Operation: 2+88=90, Resulting Numbers: [90] 90,18 unequal: No Solution Exploring Operation: 88/2=44, Resulting Numbers: [44] 44,18 unequal: No Solution Moving to Node #0,2,0 Current State: 18:[5, 91], Operations: ['15-13=2', '93-2=91'] Exploring Operation: 5+91=96, Resulting Numbers: [96] 96,18 unequal: No Solution Exploring Operation: 91-5=86, Resulting Numbers: [86] 86,18 unequal: No Solution Exploring Operation: 5*91=455, Resulting Numbers: [455] 455,18 unequal: No Solution Moving to Node #0,2,1 Current State: 18:[93, 3], Operations: ['15-13=2', '5-2=3'] Exploring Operation: 93/3=31, Resulting Numbers: [31] 31,18 unequal: No Solution Exploring Operation: 93-3=90, Resulting Numbers: [90] 90,18 unequal: No Solution Exploring Operation: 93+3=96, Resulting Numbers: [96] 96,18 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 70, 11, 30, 37 ]
66
[ "70-11=59", "37-30=7", "59+7=66" ]
Current State: 66:[70, 11, 30, 37], Operations: [] Exploring Operation: 70-11=59, Resulting Numbers: [30, 37, 59] Generated Node #2: [30, 37, 59] from Operation: 70-11=59 Current State: 66:[30, 37, 59], Operations: ['70-11=59'] Exploring Operation: 37-30=7, Resulting Numbers: [59, 7] Generated Node #3: [59, 7] from Operation: 37-30=7 Current State: 66:[59, 7], Operations: ['70-11=59', '37-30=7'] Exploring Operation: 59+7=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[70, 11, 30, 37], Operations: [] Exploring Operation: 70-37=33, Resulting Numbers: [11, 30, 33] Generated Node #0,0: 66:[11, 30, 33] Operation: 70-37=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[11, 30, 33], Operations: ['70-37=33'] Exploring Operation: 33-30=3, Resulting Numbers: [11, 3] Generated Node #0,0,0: 66:[11, 3] Operation: 33-30=3 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 66:[11, 3], Operations: ['70-37=33', '33-30=3'] Exploring Operation: 11*3=33, Resulting Numbers: [33] 33,66 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 33, 61, 68, 46 ]
86
[ "61-33=28", "68+46=114", "114-28=86" ]
Current State: 86:[33, 61, 68, 46], Operations: [] Exploring Operation: 61-33=28, Resulting Numbers: [68, 46, 28] Generated Node #2: [68, 46, 28] from Operation: 61-33=28 Current State: 86:[68, 46, 28], Operations: ['61-33=28'] Exploring Operation: 68+46=114, Resulting Numbers: [28, 114] Generated Node #3: [28, 114] from Operation: 68+46=114 Current State: 86:[28, 114], Operations: ['61-33=28', '68+46=114'] Exploring Operation: 114-28=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[33, 61, 68, 46], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [33, 46, 7] Generated Node #0,0: 86:[33, 46, 7] Operation: 68-61=7 Exploring Operation: 33+61=94, Resulting Numbers: [68, 46, 94] Generated Node #0,1: 86:[68, 46, 94] Operation: 33+61=94 Moving to Node #0,0 Current State: 86:[33, 46, 7], Operations: ['68-61=7'] Exploring Operation: 33+7=40, Resulting Numbers: [46, 40] Generated Node #0,0,0: 86:[46, 40] Operation: 33+7=40 Exploring Operation: 33+46=79, Resulting Numbers: [7, 79] Generated Node #0,0,1: 86:[7, 79] Operation: 33+46=79 Moving to Node #0,1 Current State: 86:[68, 46, 94], Operations: ['33+61=94'] Exploring Operation: 94-68=26, Resulting Numbers: [46, 26] Generated Node #0,1,0: 86:[46, 26] Operation: 94-68=26 Exploring Operation: 94-46=48, Resulting Numbers: [68, 48] Generated Node #0,1,1: 86:[68, 48] Operation: 94-46=48 Moving to Node #0,0,0 Current State: 86:[46, 40], Operations: ['68-61=7', '33+7=40'] Exploring Operation: 46-40=6, Resulting Numbers: [6] 6,86 unequal: No Solution Exploring Operation: 46+40=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[33, 61, 68, 46], Operations: [] Exploring Operation: 68-61=7, Resulting Numbers: [33, 46, 7] Generated Node #0,0: 86:[33, 46, 7] Operation: 68-61=7 Moving to Node #0,0 Current State: 86:[33, 46, 7], Operations: ['68-61=7'] Exploring Operation: 33+7=40, Resulting Numbers: [46, 40] Generated Node #0,0,0: 86:[46, 40] Operation: 33+7=40 Moving to Node #0,0,0 Current State: 86:[46, 40], Operations: ['68-61=7', '33+7=40'] Exploring Operation: 46+40=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
0.989583
hs_2
mult_heuristic
[ 7, 19, 91, 40 ]
56
[ "40-19=21", "7*21=147", "147-91=56" ]
Current State: 56:[7, 19, 91, 40], Operations: [] Exploring Operation: 40-19=21, Resulting Numbers: [7, 91, 21] Generated Node #2: [7, 91, 21] from Operation: 40-19=21 Current State: 56:[7, 91, 21], Operations: ['40-19=21'] Exploring Operation: 7*21=147, Resulting Numbers: [91, 147] Generated Node #3: [91, 147] from Operation: 7*21=147 Current State: 56:[91, 147], Operations: ['40-19=21', '7*21=147'] Exploring Operation: 147-91=56, Resulting Numbers: [56] 56,56 equal: Goal Reached
4
Current State: 56:[7, 19, 91, 40], Operations: [] Exploring Operation: 91/7=13, Resulting Numbers: [19, 40, 13] Generated Node #0,0: 56:[19, 40, 13] Operation: 91/7=13 Exploring Operation: 19+40=59, Resulting Numbers: [7, 91, 59] Generated Node #0,1: 56:[7, 91, 59] Operation: 19+40=59 Exploring Operation: 91-40=51, Resulting Numbers: [7, 19, 51] Generated Node #0,2: 56:[7, 19, 51] Operation: 91-40=51 Exploring Operation: 91-19=72, Resulting Numbers: [7, 40, 72] Generated Node #0,3: 56:[7, 40, 72] Operation: 91-19=72 Moving to Node #0,2 Current State: 56:[7, 19, 51], Operations: ['91-40=51'] Exploring Operation: 19-7=12, Resulting Numbers: [51, 12] Generated Node #0,2,0: 56:[51, 12] Operation: 19-7=12 Exploring Operation: 7+19=26, Resulting Numbers: [51, 26] Generated Node #0,2,1: 56:[51, 26] Operation: 7+19=26 Exploring Operation: 7+51=58, Resulting Numbers: [19, 58] Generated Node #0,2,2: 56:[19, 58] Operation: 7+51=58 Exploring Operation: 51-19=32, Resulting Numbers: [7, 32] Generated Node #0,2,3: 56:[7, 32] Operation: 51-19=32 Moving to Node #0,0 Current State: 56:[19, 40, 13], Operations: ['91/7=13'] Exploring Operation: 40-13=27, Resulting Numbers: [19, 27] Generated Node #0,0,0: 56:[19, 27] Operation: 40-13=27 Exploring Operation: 40-19=21, Resulting Numbers: [13, 21] Generated Node #0,0,1: 56:[13, 21] Operation: 40-19=21 Exploring Operation: 40+13=53, Resulting Numbers: [19, 53] Generated Node #0,0,2: 56:[19, 53] Operation: 40+13=53 Exploring Operation: 19+40=59, Resulting Numbers: [13, 59] Generated Node #0,0,3: 56:[13, 59] Operation: 19+40=59 Moving to Node #0,3 Current State: 56:[7, 40, 72], Operations: ['91-19=72'] Exploring Operation: 72-7=65, Resulting Numbers: [40, 65] Generated Node #0,3,0: 56:[40, 65] Operation: 72-7=65 Exploring Operation: 40-7=33, Resulting Numbers: [72, 33] Generated Node #0,3,1: 56:[72, 33] Operation: 40-7=33 Exploring Operation: 72-40=32, Resulting Numbers: [7, 32] Generated Node #0,3,2: 56:[7, 32] Operation: 72-40=32 Exploring Operation: 7+40=47, Resulting Numbers: [72, 47] Generated Node #0,3,3: 56:[72, 47] Operation: 7+40=47 Moving to Node #0,1 Current State: 56:[7, 91, 59], Operations: ['19+40=59'] Exploring Operation: 91-7=84, Resulting Numbers: [59, 84] Generated Node #0,1,0: 56:[59, 84] Operation: 91-7=84 Exploring Operation: 91/7=13, Resulting Numbers: [59, 13] Generated Node #0,1,1: 56:[59, 13] Operation: 91/7=13 Exploring Operation: 91-59=32, Resulting Numbers: [7, 32] Generated Node #0,1,2: 56:[7, 32] Operation: 91-59=32 Exploring Operation: 59-7=52, Resulting Numbers: [91, 52] Generated Node #0,1,3: 56:[91, 52] Operation: 59-7=52 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 56:[59, 13], Operations: ['19+40=59', '91/7=13'] Exploring Operation: 59+13=72, Resulting Numbers: [72] 72,56 unequal: No Solution Exploring Operation: 59*13=767, Resulting Numbers: [767] 767,56 unequal: No Solution Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 56:[7, 32], Operations: ['19+40=59', '91-59=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,56 unequal: No Solution Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,56 unequal: No Solution Exploring Operation: 7*32=224, Resulting Numbers: [224] 224,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 56:[59, 84], Operations: ['19+40=59', '91-7=84'] Exploring Operation: 84-59=25, Resulting Numbers: [25] 25,56 unequal: No Solution Exploring Operation: 59*84=4956, Resulting Numbers: [4956] 4956,56 unequal: No Solution Exploring Operation: 59+84=143, Resulting Numbers: [143] 143,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 56:[91, 52], Operations: ['19+40=59', '59-7=52'] Exploring Operation: 91-52=39, Resulting Numbers: [39] 39,56 unequal: No Solution Exploring Operation: 91*52=4732, Resulting Numbers: [4732] 4732,56 unequal: No Solution Exploring Operation: 91+52=143, Resulting Numbers: [143] 143,56 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2,3 Current State: 56:[7, 32], Operations: ['91-40=51', '51-19=32'] Exploring Operation: 7*32=224, Resulting Numbers: [224] 224,56 unequal: No Solution Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,56 unequal: No Solution Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,56 unequal: No Solution Moving to Node #0,0,3 Current State: 56:[13, 59], Operations: ['91/7=13', '19+40=59'] Exploring Operation: 13+59=72, Resulting Numbers: [72] 72,56 unequal: No Solution Exploring Operation: 59-13=46, Resulting Numbers: [46] 46,56 unequal: No Solution Exploring Operation: 13*59=767, Resulting Numbers: [767] 767,56 unequal: No Solution Moving to Node #0,3,2 Current State: 56:[7, 32], Operations: ['91-19=72', '72-40=32'] Exploring Operation: 7+32=39, Resulting Numbers: [39] 39,56 unequal: No Solution Exploring Operation: 7*32=224, Resulting Numbers: [224] 224,56 unequal: No Solution Exploring Operation: 32-7=25, Resulting Numbers: [25] 25,56 unequal: No Solution Moving to Node #0,0,0 Current State: 56:[19, 27], Operations: ['91/7=13', '40-13=27'] Exploring Operation: 19+27=46, Resulting Numbers: [46] 46,56 unequal: No Solution Exploring Operation: 27-19=8, Resulting Numbers: [8] 8,56 unequal: No Solution Exploring Operation: 19*27=513, Resulting Numbers: [513] 513,56 unequal: No Solution Moving to Node #0,2,1 Current State: 56:[51, 26], Operations: ['91-40=51', '7+19=26'] Exploring Operation: 51*26=1326, Resulting Numbers: [1326] 1326,56 unequal: No Solution Exploring Operation: 51-26=25, Resulting Numbers: [25] 25,56 unequal: No Solution Exploring Operation: 51+26=77, Resulting Numbers: [77] 77,56 unequal: No Solution Moving to Node #0,2,0 Current State: 56:[51, 12], Operations: ['91-40=51', '19-7=12'] Exploring Operation: 51-12=39, Resulting Numbers: [39] 39,56 unequal: No Solution Exploring Operation: 51*12=612, Resulting Numbers: [612] 612,56 unequal: No Solution Exploring Operation: 51+12=63, Resulting Numbers: [63] 63,56 unequal: No Solution Moving to Node #0,2,2 Current State: 56:[19, 58], Operations: ['91-40=51', '7+51=58'] Exploring Operation: 19+58=77, Resulting Numbers: [77] 77,56 unequal: No Solution Exploring Operation: 19*58=1102, Resulting Numbers: [1102] 1102,56 unequal: No Solution Exploring Operation: 58-19=39, Resulting Numbers: [39] 39,56 unequal: No Solution Moving to Node #0,0,1 Current State: 56:[13, 21], Operations: ['91/7=13', '40-19=21'] Exploring Operation: 13+21=34, Resulting Numbers: [34] 34,56 unequal: No Solution Exploring Operation: 21-13=8, Resulting Numbers: [8] 8,56 unequal: No Solution Exploring Operation: 13*21=273, Resulting Numbers: [273] 273,56 unequal: No Solution Moving to Node #0,0,2 Current State: 56:[19, 53], Operations: ['91/7=13', '40+13=53'] Exploring Operation: 19+53=72, Resulting Numbers: [72] 72,56 unequal: No Solution Exploring Operation: 53-19=34, Resulting Numbers: [34] 34,56 unequal: No Solution Exploring Operation: 19*53=1007, Resulting Numbers: [1007] 1007,56 unequal: No Solution Moving to Node #0,3,1 Current State: 56:[72, 33], Operations: ['91-19=72', '40-7=33'] Exploring Operation: 72-33=39, Resulting Numbers: [39] 39,56 unequal: No Solution Exploring Operation: 72*33=2376, Resulting Numbers: [2376] 2376,56 unequal: No Solution Exploring Operation: 72+33=105, Resulting Numbers: [105] 105,56 unequal: No Solution Moving to Node #0,3,0 Current State: 56:[40, 65], Operations: ['91-19=72', '72-7=65'] Exploring Operation: 65-40=25, Resulting Numbers: [25] 25,56 unequal: No Solution Exploring Operation: 40+65=105, Resulting Numbers: [105] 105,56 unequal: No Solution Exploring Operation: 40*65=2600, Resulting Numbers: [2600] 2600,56 unequal: No Solution Moving to Node #0,3,3 Current State: 56:[72, 47], Operations: ['91-19=72', '7+40=47'] Exploring Operation: 72*47=3384, Resulting Numbers: [3384] 3384,56 unequal: No Solution Exploring Operation: 72+47=119, Resulting Numbers: [119] 119,56 unequal: No Solution Exploring Operation: 72-47=25, Resulting Numbers: [25] 25,56 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 82, 17, 32, 14 ]
53
[ "82+17=99", "32+14=46", "99-46=53" ]
Current State: 53:[82, 17, 32, 14], Operations: [] Exploring Operation: 82+17=99, Resulting Numbers: [32, 14, 99] Generated Node #2: [32, 14, 99] from Operation: 82+17=99 Current State: 53:[32, 14, 99], Operations: ['82+17=99'] Exploring Operation: 32+14=46, Resulting Numbers: [99, 46] Generated Node #3: [99, 46] from Operation: 32+14=46 Current State: 53:[99, 46], Operations: ['82+17=99', '32+14=46'] Exploring Operation: 99-46=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[82, 17, 32, 14], Operations: [] Exploring Operation: 82-17=65, Resulting Numbers: [32, 14, 65] Generated Node #0,0: 53:[32, 14, 65] Operation: 82-17=65 Moving to Node #0,0 Current State: 53:[32, 14, 65], Operations: ['82-17=65'] Exploring Operation: 32+14=46, Resulting Numbers: [65, 46] Generated Node #0,0,0: 53:[65, 46] Operation: 32+14=46 Moving to Node #0,0,0 Current State: 53:[65, 46], Operations: ['82-17=65', '32+14=46'] Exploring Operation: 65-46=19, Resulting Numbers: [19] 19,53 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 50, 83, 55, 48 ]
70
[ "83-50=33", "55+48=103", "103-33=70" ]
Current State: 70:[50, 83, 55, 48], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [55, 48, 33] Generated Node #2: [55, 48, 33] from Operation: 83-50=33 Current State: 70:[55, 48, 33], Operations: ['83-50=33'] Exploring Operation: 55+48=103, Resulting Numbers: [33, 103] Generated Node #3: [33, 103] from Operation: 55+48=103 Current State: 70:[33, 103], Operations: ['83-50=33', '55+48=103'] Exploring Operation: 103-33=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
4
Current State: 70:[50, 83, 55, 48], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [55, 48, 33] Generated Node #0,0: 70:[55, 48, 33] Operation: 83-50=33 Exploring Operation: 55-48=7, Resulting Numbers: [50, 83, 7] Generated Node #0,1: 70:[50, 83, 7] Operation: 55-48=7 Exploring Operation: 50-48=2, Resulting Numbers: [83, 55, 2] Generated Node #0,2: 70:[83, 55, 2] Operation: 50-48=2 Exploring Operation: 55-50=5, Resulting Numbers: [83, 48, 5] Generated Node #0,3: 70:[83, 48, 5] Operation: 55-50=5 Moving to Node #0,3 Current State: 70:[83, 48, 5], Operations: ['55-50=5'] Exploring Operation: 48-5=43, Resulting Numbers: [83, 43] Generated Node #0,3,0: 70:[83, 43] Operation: 48-5=43 Exploring Operation: 48+5=53, Resulting Numbers: [83, 53] Generated Node #0,3,1: 70:[83, 53] Operation: 48+5=53 Exploring Operation: 83-48=35, Resulting Numbers: [5, 35] Generated Node #0,3,2: 70:[5, 35] Operation: 83-48=35 Exploring Operation: 83-5=78, Resulting Numbers: [48, 78] Generated Node #0,3,3: 70:[48, 78] Operation: 83-5=78 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 70:[5, 35], Operations: ['55-50=5', '83-48=35'] Exploring Operation: 5*35=175, Resulting Numbers: [175] 175,70 unequal: No Solution Exploring Operation: 35/5=7, Resulting Numbers: [7] 7,70 unequal: No Solution Exploring Operation: 35-5=30, Resulting Numbers: [30] 30,70 unequal: No Solution Exploring Operation: 5+35=40, Resulting Numbers: [40] 40,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 70:[83, 43], Operations: ['55-50=5', '48-5=43'] Exploring Operation: 83*43=3569, Resulting Numbers: [3569] 3569,70 unequal: No Solution Exploring Operation: 83-43=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 83+43=126, Resulting Numbers: [126] 126,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 70:[48, 78], Operations: ['55-50=5', '83-5=78'] Exploring Operation: 48*78=3744, Resulting Numbers: [3744] 3744,70 unequal: No Solution Exploring Operation: 48+78=126, Resulting Numbers: [126] 126,70 unequal: No Solution Exploring Operation: 78-48=30, Resulting Numbers: [30] 30,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 70:[83, 53], Operations: ['55-50=5', '48+5=53'] Exploring Operation: 83+53=136, Resulting Numbers: [136] 136,70 unequal: No Solution Exploring Operation: 83-53=30, Resulting Numbers: [30] 30,70 unequal: No Solution Exploring Operation: 83*53=4399, Resulting Numbers: [4399] 4399,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 70:[83, 55, 2], Operations: ['50-48=2'] Exploring Operation: 83-2=81, Resulting Numbers: [55, 81] Generated Node #0,2,0: 70:[55, 81] Operation: 83-2=81 Exploring Operation: 55+2=57, Resulting Numbers: [83, 57] Generated Node #0,2,1: 70:[83, 57] Operation: 55+2=57 Exploring Operation: 83+2=85, Resulting Numbers: [55, 85] Generated Node #0,2,2: 70:[55, 85] Operation: 83+2=85 Exploring Operation: 83-55=28, Resulting Numbers: [2, 28] Generated Node #0,2,3: 70:[2, 28] Operation: 83-55=28 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 70:[2, 28], Operations: ['50-48=2', '83-55=28'] Exploring Operation: 28-2=26, Resulting Numbers: [26] 26,70 unequal: No Solution Exploring Operation: 2+28=30, Resulting Numbers: [30] 30,70 unequal: No Solution Exploring Operation: 2*28=56, Resulting Numbers: [56] 56,70 unequal: No Solution Exploring Operation: 28/2=14, Resulting Numbers: [14] 14,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 70:[55, 81], Operations: ['50-48=2', '83-2=81'] Exploring Operation: 55+81=136, Resulting Numbers: [136] 136,70 unequal: No Solution Exploring Operation: 55*81=4455, Resulting Numbers: [4455] 4455,70 unequal: No Solution Exploring Operation: 81-55=26, Resulting Numbers: [26] 26,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 70:[83, 57], Operations: ['50-48=2', '55+2=57'] Exploring Operation: 83-57=26, Resulting Numbers: [26] 26,70 unequal: No Solution Exploring Operation: 83*57=4731, Resulting Numbers: [4731] 4731,70 unequal: No Solution Exploring Operation: 83+57=140, Resulting Numbers: [140] 140,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 70:[55, 85], Operations: ['50-48=2', '83+2=85'] Exploring Operation: 55+85=140, Resulting Numbers: [140] 140,70 unequal: No Solution Exploring Operation: 55*85=4675, Resulting Numbers: [4675] 4675,70 unequal: No Solution Exploring Operation: 85-55=30, Resulting Numbers: [30] 30,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 70:[50, 83, 7], Operations: ['55-48=7'] Exploring Operation: 83-50=33, Resulting Numbers: [7, 33] Generated Node #0,1,0: 70:[7, 33] Operation: 83-50=33 Exploring Operation: 50-7=43, Resulting Numbers: [83, 43] Generated Node #0,1,1: 70:[83, 43] Operation: 50-7=43 Exploring Operation: 83-7=76, Resulting Numbers: [50, 76] Generated Node #0,1,2: 70:[50, 76] Operation: 83-7=76 Exploring Operation: 50+7=57, Resulting Numbers: [83, 57] Generated Node #0,1,3: 70:[83, 57] Operation: 50+7=57 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 70:[7, 33], Operations: ['55-48=7', '83-50=33'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,70 unequal: No Solution Exploring Operation: 7+33=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 7*33=231, Resulting Numbers: [231] 231,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 70:[83, 43], Operations: ['55-48=7', '50-7=43'] Exploring Operation: 83*43=3569, Resulting Numbers: [3569] 3569,70 unequal: No Solution Exploring Operation: 83-43=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 83+43=126, Resulting Numbers: [126] 126,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 70:[50, 76], Operations: ['55-48=7', '83-7=76'] Exploring Operation: 50*76=3800, Resulting Numbers: [3800] 3800,70 unequal: No Solution Exploring Operation: 50+76=126, Resulting Numbers: [126] 126,70 unequal: No Solution Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 70:[83, 57], Operations: ['55-48=7', '50+7=57'] Exploring Operation: 83+57=140, Resulting Numbers: [140] 140,70 unequal: No Solution Exploring Operation: 83-57=26, Resulting Numbers: [26] 26,70 unequal: No Solution Exploring Operation: 83*57=4731, Resulting Numbers: [4731] 4731,70 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 70:[55, 48, 33], Operations: ['83-50=33'] Exploring Operation: 55-48=7, Resulting Numbers: [33, 7] Generated Node #0,0,0: 70:[33, 7] Operation: 55-48=7 Exploring Operation: 48-33=15, Resulting Numbers: [55, 15] Generated Node #0,0,1: 70:[55, 15] Operation: 48-33=15 Exploring Operation: 55-33=22, Resulting Numbers: [48, 22] Generated Node #0,0,2: 70:[48, 22] Operation: 55-33=22 Exploring Operation: 48+33=81, Resulting Numbers: [55, 81] Generated Node #0,0,3: 70:[55, 81] Operation: 48+33=81 Moving to Node #0,0,0 Current State: 70:[33, 7], Operations: ['83-50=33', '55-48=7'] Exploring Operation: 33-7=26, Resulting Numbers: [26] 26,70 unequal: No Solution Exploring Operation: 33+7=40, Resulting Numbers: [40] 40,70 unequal: No Solution Exploring Operation: 33*7=231, Resulting Numbers: [231] 231,70 unequal: No Solution Moving to Node #0,0,1 Current State: 70:[55, 15], Operations: ['83-50=33', '48-33=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached Moving to Node #0 Current State: 70:[50, 83, 55, 48], Operations: [] Exploring Operation: 83-50=33, Resulting Numbers: [55, 48, 33] Generated Node #0,0: 70:[55, 48, 33] Operation: 83-50=33 Moving to Node #0,0 Current State: 70:[55, 48, 33], Operations: ['83-50=33'] Exploring Operation: 48-33=15, Resulting Numbers: [55, 15] Generated Node #0,0,1: 70:[55, 15] Operation: 48-33=15 Moving to Node #0,0,1 Current State: 70:[55, 15], Operations: ['83-50=33', '48-33=15'] Exploring Operation: 55+15=70, Resulting Numbers: [70] 70,70 equal: Goal Reached
0.942708
hs_4
mult_heuristic
[ 92, 98, 60, 78 ]
73
[ "98-92=6", "78/6=13", "60+13=73" ]
Current State: 73:[92, 98, 60, 78], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [60, 78, 6] Generated Node #2: [60, 78, 6] from Operation: 98-92=6 Current State: 73:[60, 78, 6], Operations: ['98-92=6'] Exploring Operation: 78/6=13, Resulting Numbers: [60, 13] Generated Node #3: [60, 13] from Operation: 78/6=13 Current State: 73:[60, 13], Operations: ['98-92=6', '78/6=13'] Exploring Operation: 60+13=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[92, 98, 60, 78], Operations: [] Exploring Operation: 98-92=6, Resulting Numbers: [60, 78, 6] Generated Node #0,0: 73:[60, 78, 6] Operation: 98-92=6 Exploring Operation: 92-60=32, Resulting Numbers: [98, 78, 32] Generated Node #0,1: 73:[98, 78, 32] Operation: 92-60=32 Exploring Operation: 98-60=38, Resulting Numbers: [92, 78, 38] Generated Node #0,2: 73:[92, 78, 38] Operation: 98-60=38 Moving to Node #0,2 Current State: 73:[92, 78, 38], Operations: ['98-60=38'] Exploring Operation: 92+38=130, Resulting Numbers: [78, 130] Generated Node #0,2,0: 73:[78, 130] Operation: 92+38=130 Exploring Operation: 78-38=40, Resulting Numbers: [92, 40] Generated Node #0,2,1: 73:[92, 40] Operation: 78-38=40 Exploring Operation: 92-38=54, Resulting Numbers: [78, 54] Generated Node #0,2,2: 73:[78, 54] Operation: 92-38=54 Moving to Node #0,1 Current State: 73:[98, 78, 32], Operations: ['92-60=32'] Exploring Operation: 98-32=66, Resulting Numbers: [78, 66] Generated Node #0,1,0: 73:[78, 66] Operation: 98-32=66 Exploring Operation: 98+32=130, Resulting Numbers: [78, 130] Generated Node #0,1,1: 73:[78, 130] Operation: 98+32=130 Exploring Operation: 78-32=46, Resulting Numbers: [98, 46] Generated Node #0,1,2: 73:[98, 46] Operation: 78-32=46 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 73:[78, 66], Operations: ['92-60=32', '98-32=66'] Exploring Operation: 78+66=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 78-66=12, Resulting Numbers: [12] 12,73 unequal: No Solution Exploring Operation: 78*66=5148, Resulting Numbers: [5148] 5148,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 73:[98, 46], Operations: ['92-60=32', '78-32=46'] Exploring Operation: 98-46=52, Resulting Numbers: [52] 52,73 unequal: No Solution Exploring Operation: 98+46=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 98*46=4508, Resulting Numbers: [4508] 4508,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 73:[78, 130], Operations: ['92-60=32', '98+32=130'] Exploring Operation: 78*130=10140, Resulting Numbers: [10140] 10140,73 unequal: No Solution Exploring Operation: 130-78=52, Resulting Numbers: [52] 52,73 unequal: No Solution Exploring Operation: 78+130=208, Resulting Numbers: [208] 208,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 73:[60, 78, 6], Operations: ['98-92=6'] Exploring Operation: 60+6=66, Resulting Numbers: [78, 66] Generated Node #0,0,0: 73:[78, 66] Operation: 60+6=66 Exploring Operation: 60-6=54, Resulting Numbers: [78, 54] Generated Node #0,0,1: 73:[78, 54] Operation: 60-6=54 Exploring Operation: 78-6=72, Resulting Numbers: [60, 72] Generated Node #0,0,2: 73:[60, 72] Operation: 78-6=72 Moving to Node #0,0,0 Current State: 73:[78, 66], Operations: ['98-92=6', '60+6=66'] Exploring Operation: 78+66=144, Resulting Numbers: [144] 144,73 unequal: No Solution Exploring Operation: 78*66=5148, Resulting Numbers: [5148] 5148,73 unequal: No Solution Exploring Operation: 78-66=12, Resulting Numbers: [12] 12,73 unequal: No Solution Moving to Node #0,0,2 Current State: 73:[60, 72], Operations: ['98-92=6', '78-6=72'] Exploring Operation: 60+72=132, Resulting Numbers: [132] 132,73 unequal: No Solution Exploring Operation: 72-60=12, Resulting Numbers: [12] 12,73 unequal: No Solution Exploring Operation: 60*72=4320, Resulting Numbers: [4320] 4320,73 unequal: No Solution Moving to Node #0,0,1 Current State: 73:[78, 54], Operations: ['98-92=6', '60-6=54'] Exploring Operation: 78*54=4212, Resulting Numbers: [4212] 4212,73 unequal: No Solution Exploring Operation: 78+54=132, Resulting Numbers: [132] 132,73 unequal: No Solution Exploring Operation: 78-54=24, Resulting Numbers: [24] 24,73 unequal: No Solution Moving to Node #0,2,2 Current State: 73:[78, 54], Operations: ['98-60=38', '92-38=54'] Exploring Operation: 78*54=4212, Resulting Numbers: [4212] 4212,73 unequal: No Solution Exploring Operation: 78+54=132, Resulting Numbers: [132] 132,73 unequal: No Solution Exploring Operation: 78-54=24, Resulting Numbers: [24] 24,73 unequal: No Solution Moving to Node #0,2,1 Current State: 73:[92, 40], Operations: ['98-60=38', '78-38=40'] Exploring Operation: 92+40=132, Resulting Numbers: [132] 132,73 unequal: No Solution Exploring Operation: 92-40=52, Resulting Numbers: [52] 52,73 unequal: No Solution Exploring Operation: 92*40=3680, Resulting Numbers: [3680] 3680,73 unequal: No Solution Moving to Node #0,2,0 Current State: 73:[78, 130], Operations: ['98-60=38', '92+38=130'] Exploring Operation: 130-78=52, Resulting Numbers: [52] 52,73 unequal: No Solution Exploring Operation: 78*130=10140, Resulting Numbers: [10140] 10140,73 unequal: No Solution Exploring Operation: 78+130=208, Resulting Numbers: [208] 208,73 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 30, 18, 36, 43 ]
41
[ "30+18=48", "43-36=7", "48-7=41" ]
Current State: 41:[30, 18, 36, 43], Operations: [] Exploring Operation: 30+18=48, Resulting Numbers: [36, 43, 48] Generated Node #2: [36, 43, 48] from Operation: 30+18=48 Current State: 41:[36, 43, 48], Operations: ['30+18=48'] Exploring Operation: 43-36=7, Resulting Numbers: [48, 7] Generated Node #3: [48, 7] from Operation: 43-36=7 Current State: 41:[48, 7], Operations: ['30+18=48', '43-36=7'] Exploring Operation: 48-7=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[30, 18, 36, 43], Operations: [] Exploring Operation: 30+18=48, Resulting Numbers: [36, 43, 48] Generated Node #0,0: 41:[36, 43, 48] Operation: 30+18=48 Exploring Operation: 43-18=25, Resulting Numbers: [30, 36, 25] Generated Node #0,1: 41:[30, 36, 25] Operation: 43-18=25 Exploring Operation: 18+36=54, Resulting Numbers: [30, 43, 54] Generated Node #0,2: 41:[30, 43, 54] Operation: 18+36=54 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[36, 43, 48], Operations: ['30+18=48'] Exploring Operation: 48-36=12, Resulting Numbers: [43, 12] Generated Node #0,0,0: 41:[43, 12] Operation: 48-36=12 Exploring Operation: 48-43=5, Resulting Numbers: [36, 5] Generated Node #0,0,1: 41:[36, 5] Operation: 48-43=5 Exploring Operation: 43-36=7, Resulting Numbers: [48, 7] Generated Node #0,0,2: 41:[48, 7] Operation: 43-36=7 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[43, 12], Operations: ['30+18=48', '48-36=12'] Exploring Operation: 43+12=55, Resulting Numbers: [55] 55,41 unequal: No Solution Exploring Operation: 43*12=516, Resulting Numbers: [516] 516,41 unequal: No Solution Exploring Operation: 43-12=31, Resulting Numbers: [31] 31,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 41:[36, 5], Operations: ['30+18=48', '48-43=5'] Exploring Operation: 36-5=31, Resulting Numbers: [31] 31,41 unequal: No Solution Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[30, 18, 36, 43], Operations: [] Exploring Operation: 30+18=48, Resulting Numbers: [36, 43, 48] Generated Node #0,0: 41:[36, 43, 48] Operation: 30+18=48 Moving to Node #0,0 Current State: 41:[36, 43, 48], Operations: ['30+18=48'] Exploring Operation: 48-43=5, Resulting Numbers: [36, 5] Generated Node #0,0,1: 41:[36, 5] Operation: 48-43=5 Moving to Node #0,0,1 Current State: 41:[36, 5], Operations: ['30+18=48', '48-43=5'] Exploring Operation: 36+5=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_3
mult_heuristic
[ 94, 72, 28, 25 ]
75
[ "94-72=22", "28+25=53", "22+53=75" ]
Current State: 75:[94, 72, 28, 25], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [28, 25, 22] Generated Node #2: [28, 25, 22] from Operation: 94-72=22 Current State: 75:[28, 25, 22], Operations: ['94-72=22'] Exploring Operation: 28+25=53, Resulting Numbers: [22, 53] Generated Node #3: [22, 53] from Operation: 28+25=53 Current State: 75:[22, 53], Operations: ['94-72=22', '28+25=53'] Exploring Operation: 22+53=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[94, 72, 28, 25], Operations: [] Exploring Operation: 94-72=22, Resulting Numbers: [28, 25, 22] Generated Node #0,0: 75:[28, 25, 22] Operation: 94-72=22 Exploring Operation: 94-25=69, Resulting Numbers: [72, 28, 69] Generated Node #0,1: 75:[72, 28, 69] Operation: 94-25=69 Exploring Operation: 94-28=66, Resulting Numbers: [72, 25, 66] Generated Node #0,2: 75:[72, 25, 66] Operation: 94-28=66 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[28, 25, 22], Operations: ['94-72=22'] Exploring Operation: 25-22=3, Resulting Numbers: [28, 3] Generated Node #0,0,0: 75:[28, 3] Operation: 25-22=3 Exploring Operation: 28-22=6, Resulting Numbers: [25, 6] Generated Node #0,0,1: 75:[25, 6] Operation: 28-22=6 Exploring Operation: 28-25=3, Resulting Numbers: [22, 3] Generated Node #0,0,2: 75:[22, 3] Operation: 28-25=3 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 75:[25, 6], Operations: ['94-72=22', '28-22=6'] Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,75 unequal: No Solution Exploring Operation: 25*6=150, Resulting Numbers: [150] 150,75 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[28, 3], Operations: ['94-72=22', '25-22=3'] Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,75 unequal: No Solution Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,75 unequal: No Solution Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 75:[22, 3], Operations: ['94-72=22', '28-25=3'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,75 unequal: No Solution Exploring Operation: 22+3=25, Resulting Numbers: [25] 25,75 unequal: No Solution Exploring Operation: 22*3=66, Resulting Numbers: [66] 66,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 75:[72, 28, 69], Operations: ['94-25=69'] Exploring Operation: 72-28=44, Resulting Numbers: [69, 44] Generated Node #0,1,0: 75:[69, 44] Operation: 72-28=44 Exploring Operation: 72-69=3, Resulting Numbers: [28, 3] Generated Node #0,1,1: 75:[28, 3] Operation: 72-69=3 Exploring Operation: 69-28=41, Resulting Numbers: [72, 41] Generated Node #0,1,2: 75:[72, 41] Operation: 69-28=41 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 75:[28, 3], Operations: ['94-25=69', '72-69=3'] Exploring Operation: 28+3=31, Resulting Numbers: [31] 31,75 unequal: No Solution Exploring Operation: 28*3=84, Resulting Numbers: [84] 84,75 unequal: No Solution Exploring Operation: 28-3=25, Resulting Numbers: [25] 25,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 75:[72, 41], Operations: ['94-25=69', '69-28=41'] Exploring Operation: 72*41=2952, Resulting Numbers: [2952] 2952,75 unequal: No Solution Exploring Operation: 72+41=113, Resulting Numbers: [113] 113,75 unequal: No Solution Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 75:[69, 44], Operations: ['94-25=69', '72-28=44'] Exploring Operation: 69-44=25, Resulting Numbers: [25] 25,75 unequal: No Solution Exploring Operation: 69*44=3036, Resulting Numbers: [3036] 3036,75 unequal: No Solution Exploring Operation: 69+44=113, Resulting Numbers: [113] 113,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 75:[72, 25, 66], Operations: ['94-28=66'] Exploring Operation: 66-25=41, Resulting Numbers: [72, 41] Generated Node #0,2,0: 75:[72, 41] Operation: 66-25=41 Exploring Operation: 72-66=6, Resulting Numbers: [25, 6] Generated Node #0,2,1: 75:[25, 6] Operation: 72-66=6 Exploring Operation: 25+66=91, Resulting Numbers: [72, 91] Generated Node #0,2,2: 75:[72, 91] Operation: 25+66=91 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 75:[25, 6], Operations: ['94-28=66', '72-66=6'] Exploring Operation: 25*6=150, Resulting Numbers: [150] 150,75 unequal: No Solution Exploring Operation: 25+6=31, Resulting Numbers: [31] 31,75 unequal: No Solution Exploring Operation: 25-6=19, Resulting Numbers: [19] 19,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 75:[72, 41], Operations: ['94-28=66', '66-25=41'] Exploring Operation: 72+41=113, Resulting Numbers: [113] 113,75 unequal: No Solution Exploring Operation: 72*41=2952, Resulting Numbers: [2952] 2952,75 unequal: No Solution Exploring Operation: 72-41=31, Resulting Numbers: [31] 31,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 75:[72, 91], Operations: ['94-28=66', '25+66=91'] Exploring Operation: 72*91=6552, Resulting Numbers: [6552] 6552,75 unequal: No Solution Exploring Operation: 91-72=19, Resulting Numbers: [19] 19,75 unequal: No Solution Exploring Operation: 72+91=163, Resulting Numbers: [163] 163,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 96, 50, 90, 23 ]
21
[ "96-50=46", "90-23=67", "67-46=21" ]
Current State: 21:[96, 50, 90, 23], Operations: [] Exploring Operation: 96-50=46, Resulting Numbers: [90, 23, 46] Generated Node #2: [90, 23, 46] from Operation: 96-50=46 Current State: 21:[90, 23, 46], Operations: ['96-50=46'] Exploring Operation: 90-23=67, Resulting Numbers: [46, 67] Generated Node #3: [46, 67] from Operation: 90-23=67 Current State: 21:[46, 67], Operations: ['96-50=46', '90-23=67'] Exploring Operation: 67-46=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[96, 50, 90, 23], Operations: [] Exploring Operation: 50-23=27, Resulting Numbers: [96, 90, 27] Generated Node #0,0: 21:[96, 90, 27] Operation: 50-23=27 Exploring Operation: 96-50=46, Resulting Numbers: [90, 23, 46] Generated Node #0,1: 21:[90, 23, 46] Operation: 96-50=46 Exploring Operation: 90-50=40, Resulting Numbers: [96, 23, 40] Generated Node #0,2: 21:[96, 23, 40] Operation: 90-50=40 Exploring Operation: 96-90=6, Resulting Numbers: [50, 23, 6] Generated Node #0,3: 21:[50, 23, 6] Operation: 96-90=6 Exploring Operation: 96-23=73, Resulting Numbers: [50, 90, 73] Generated Node #0,4: 21:[50, 90, 73] Operation: 96-23=73 Moving to Node #0,3 Current State: 21:[50, 23, 6], Operations: ['96-90=6'] Exploring Operation: 50+6=56, Resulting Numbers: [23, 56] Generated Node #0,3,0: 21:[23, 56] Operation: 50+6=56 Exploring Operation: 50-23=27, Resulting Numbers: [6, 27] Generated Node #0,3,1: 21:[6, 27] Operation: 50-23=27 Exploring Operation: 23+6=29, Resulting Numbers: [50, 29] Generated Node #0,3,2: 21:[50, 29] Operation: 23+6=29 Exploring Operation: 23-6=17, Resulting Numbers: [50, 17] Generated Node #0,3,3: 21:[50, 17] Operation: 23-6=17 Exploring Operation: 50-6=44, Resulting Numbers: [23, 44] Generated Node #0,3,4: 21:[23, 44] Operation: 50-6=44 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 21:[6, 27], Operations: ['96-90=6', '50-23=27'] Exploring Operation: 6*27=162, Resulting Numbers: [162] 162,21 unequal: No Solution Exploring Operation: 6+27=33, Resulting Numbers: [33] 33,21 unequal: No Solution Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Moving to Node #0 Current State: 21:[96, 50, 90, 23], Operations: [] Exploring Operation: 96-90=6, Resulting Numbers: [50, 23, 6] Generated Node #0,3: 21:[50, 23, 6] Operation: 96-90=6 Moving to Node #0,3 Current State: 21:[50, 23, 6], Operations: ['96-90=6'] Exploring Operation: 50-23=27, Resulting Numbers: [6, 27] Generated Node #0,3,1: 21:[6, 27] Operation: 50-23=27 Moving to Node #0,3,1 Current State: 21:[6, 27], Operations: ['96-90=6', '50-23=27'] Exploring Operation: 27-6=21, Resulting Numbers: [21] 21,21 equal: Goal Reached Exit Sub Search at level 1
0.985243
hs_5
mult_heuristic
[ 44, 7, 40, 82 ]
94
[ "44+40=84", "84/7=12", "82+12=94" ]
Current State: 94:[44, 7, 40, 82], Operations: [] Exploring Operation: 44+40=84, Resulting Numbers: [7, 82, 84] Generated Node #2: [7, 82, 84] from Operation: 44+40=84 Current State: 94:[7, 82, 84], Operations: ['44+40=84'] Exploring Operation: 84/7=12, Resulting Numbers: [82, 12] Generated Node #3: [82, 12] from Operation: 84/7=12 Current State: 94:[82, 12], Operations: ['44+40=84', '84/7=12'] Exploring Operation: 82+12=94, Resulting Numbers: [94] 94,94 equal: Goal Reached
4
Current State: 94:[44, 7, 40, 82], Operations: [] Exploring Operation: 82-40=42, Resulting Numbers: [44, 7, 42] Generated Node #0,0: 94:[44, 7, 42] Operation: 82-40=42 Start Sub Search at level 1: Moving to Node #0,0 Current State: 94:[44, 7, 42], Operations: ['82-40=42'] Exploring Operation: 44-42=2, Resulting Numbers: [7, 2] Generated Node #0,0,0: 94:[7, 2] Operation: 44-42=2 Moving to Node #0,0,0 Current State: 94:[7, 2], Operations: ['82-40=42', '44-42=2'] Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,94 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 58, 66, 41, 52 ]
19
[ "66-58=8", "52-41=11", "8+11=19" ]
Current State: 19:[58, 66, 41, 52], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [41, 52, 8] Generated Node #2: [41, 52, 8] from Operation: 66-58=8 Current State: 19:[41, 52, 8], Operations: ['66-58=8'] Exploring Operation: 52-41=11, Resulting Numbers: [8, 11] Generated Node #3: [8, 11] from Operation: 52-41=11 Current State: 19:[8, 11], Operations: ['66-58=8', '52-41=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached
4
Current State: 19:[58, 66, 41, 52], Operations: [] Exploring Operation: 66-52=14, Resulting Numbers: [58, 41, 14] Generated Node #0,0: 19:[58, 41, 14] Operation: 66-52=14 Exploring Operation: 66-41=25, Resulting Numbers: [58, 52, 25] Generated Node #0,1: 19:[58, 52, 25] Operation: 66-41=25 Exploring Operation: 66-58=8, Resulting Numbers: [41, 52, 8] Generated Node #0,2: 19:[41, 52, 8] Operation: 66-58=8 Start Sub Search at level 1: Moving to Node #0,0 Current State: 19:[58, 41, 14], Operations: ['66-52=14'] Exploring Operation: 58-14=44, Resulting Numbers: [41, 44] Generated Node #0,0,0: 19:[41, 44] Operation: 58-14=44 Exploring Operation: 41-14=27, Resulting Numbers: [58, 27] Generated Node #0,0,1: 19:[58, 27] Operation: 41-14=27 Exploring Operation: 58-41=17, Resulting Numbers: [14, 17] Generated Node #0,0,2: 19:[14, 17] Operation: 58-41=17 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 19:[14, 17], Operations: ['66-52=14', '58-41=17'] Exploring Operation: 14+17=31, Resulting Numbers: [31] 31,19 unequal: No Solution Exploring Operation: 14*17=238, Resulting Numbers: [238] 238,19 unequal: No Solution Exploring Operation: 17-14=3, Resulting Numbers: [3] 3,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 19:[41, 44], Operations: ['66-52=14', '58-14=44'] Exploring Operation: 44-41=3, Resulting Numbers: [3] 3,19 unequal: No Solution Exploring Operation: 41+44=85, Resulting Numbers: [85] 85,19 unequal: No Solution Exploring Operation: 41*44=1804, Resulting Numbers: [1804] 1804,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 19:[58, 27], Operations: ['66-52=14', '41-14=27'] Exploring Operation: 58+27=85, Resulting Numbers: [85] 85,19 unequal: No Solution Exploring Operation: 58-27=31, Resulting Numbers: [31] 31,19 unequal: No Solution Exploring Operation: 58*27=1566, Resulting Numbers: [1566] 1566,19 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 19:[41, 52, 8], Operations: ['66-58=8'] Exploring Operation: 52-41=11, Resulting Numbers: [8, 11] Generated Node #0,2,0: 19:[8, 11] Operation: 52-41=11 Exploring Operation: 41-8=33, Resulting Numbers: [52, 33] Generated Node #0,2,1: 19:[52, 33] Operation: 41-8=33 Exploring Operation: 52-8=44, Resulting Numbers: [41, 44] Generated Node #0,2,2: 19:[41, 44] Operation: 52-8=44 Moving to Node #0,2,0 Current State: 19:[8, 11], Operations: ['66-58=8', '52-41=11'] Exploring Operation: 11-8=3, Resulting Numbers: [3] 3,19 unequal: No Solution Exploring Operation: 8*11=88, Resulting Numbers: [88] 88,19 unequal: No Solution Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Moving to Node #0 Current State: 19:[58, 66, 41, 52], Operations: [] Exploring Operation: 66-58=8, Resulting Numbers: [41, 52, 8] Generated Node #0,2: 19:[41, 52, 8] Operation: 66-58=8 Moving to Node #0,2 Current State: 19:[41, 52, 8], Operations: ['66-58=8'] Exploring Operation: 52-41=11, Resulting Numbers: [8, 11] Generated Node #0,2,0: 19:[8, 11] Operation: 52-41=11 Moving to Node #0,2,0 Current State: 19:[8, 11], Operations: ['66-58=8', '52-41=11'] Exploring Operation: 8+11=19, Resulting Numbers: [19] 19,19 equal: Goal Reached Exit Sub Search at level 1
0.978299
hs_3
sum_heuristic
[ 6, 6, 21, 9 ]
81
[ "6+6=12", "21-12=9", "9*9=81" ]
Current State: 81:[6, 6, 21, 9], Operations: [] Exploring Operation: 6+6=12, Resulting Numbers: [21, 9, 12] Generated Node #2: [21, 9, 12] from Operation: 6+6=12 Current State: 81:[21, 9, 12], Operations: ['6+6=12'] Exploring Operation: 21-12=9, Resulting Numbers: [9, 9] Generated Node #3: [9, 9] from Operation: 21-12=9 Current State: 81:[9, 9], Operations: ['6+6=12', '21-12=9'] Exploring Operation: 9*9=81, Resulting Numbers: [81] 81,81 equal: Goal Reached
4
Current State: 81:[6, 6, 21, 9], Operations: [] Exploring Operation: 6+21=27, Resulting Numbers: [6, 9, 27] Generated Node #0,0: 81:[6, 9, 27] Operation: 6+21=27 Start Sub Search at level 1: Moving to Node #0,0 Current State: 81:[6, 9, 27], Operations: ['6+21=27'] Exploring Operation: 9-6=3, Resulting Numbers: [27, 3] Generated Node #0,0,0: 81:[27, 3] Operation: 9-6=3 Moving to Node #0,0,0 Current State: 81:[27, 3], Operations: ['6+21=27', '9-6=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Moving to Node #0 Current State: 81:[6, 6, 21, 9], Operations: [] Exploring Operation: 6+21=27, Resulting Numbers: [6, 9, 27] Generated Node #0,0: 81:[6, 9, 27] Operation: 6+21=27 Moving to Node #0,0 Current State: 81:[6, 9, 27], Operations: ['6+21=27'] Exploring Operation: 9-6=3, Resulting Numbers: [27, 3] Generated Node #0,0,0: 81:[27, 3] Operation: 9-6=3 Moving to Node #0,0,0 Current State: 81:[27, 3], Operations: ['6+21=27', '9-6=3'] Exploring Operation: 27*3=81, Resulting Numbers: [81] 81,81 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
sum_heuristic
[ 97, 22, 26, 8 ]
29
[ "97*8=776", "776-22=754", "754/26=29" ]
Current State: 29:[97, 22, 26, 8], Operations: [] Exploring Operation: 97*8=776, Resulting Numbers: [22, 26, 776] Generated Node #2: [22, 26, 776] from Operation: 97*8=776 Current State: 29:[22, 26, 776], Operations: ['97*8=776'] Exploring Operation: 776-22=754, Resulting Numbers: [26, 754] Generated Node #3: [26, 754] from Operation: 776-22=754 Current State: 29:[26, 754], Operations: ['97*8=776', '776-22=754'] Exploring Operation: 754/26=29, Resulting Numbers: [29] 29,29 equal: Goal Reached
4
Current State: 29:[97, 22, 26, 8], Operations: [] Exploring Operation: 26+8=34, Resulting Numbers: [97, 22, 34] Generated Node #0,0: 29:[97, 22, 34] Operation: 26+8=34 Exploring Operation: 22+8=30, Resulting Numbers: [97, 26, 30] Generated Node #0,1: 29:[97, 26, 30] Operation: 22+8=30 Exploring Operation: 97-26=71, Resulting Numbers: [22, 8, 71] Generated Node #0,2: 29:[22, 8, 71] Operation: 97-26=71 Exploring Operation: 97-8=89, Resulting Numbers: [22, 26, 89] Generated Node #0,3: 29:[22, 26, 89] Operation: 97-8=89 Exploring Operation: 97-22=75, Resulting Numbers: [26, 8, 75] Generated Node #0,4: 29:[26, 8, 75] Operation: 97-22=75 Moving to Node #0,2 Current State: 29:[22, 8, 71], Operations: ['97-26=71'] Exploring Operation: 22-8=14, Resulting Numbers: [71, 14] Generated Node #0,2,0: 29:[71, 14] Operation: 22-8=14 Exploring Operation: 22+8=30, Resulting Numbers: [71, 30] Generated Node #0,2,1: 29:[71, 30] Operation: 22+8=30 Exploring Operation: 71-8=63, Resulting Numbers: [22, 63] Generated Node #0,2,2: 29:[22, 63] Operation: 71-8=63 Exploring Operation: 8+71=79, Resulting Numbers: [22, 79] Generated Node #0,2,3: 29:[22, 79] Operation: 8+71=79 Exploring Operation: 71-22=49, Resulting Numbers: [8, 49] Generated Node #0,2,4: 29:[8, 49] Operation: 71-22=49 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 29:[22, 63], Operations: ['97-26=71', '71-8=63'] Exploring Operation: 22+63=85, Resulting Numbers: [85] 85,29 unequal: No Solution Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 22*63=1386, Resulting Numbers: [1386] 1386,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 29:[8, 49], Operations: ['97-26=71', '71-22=49'] Exploring Operation: 8+49=57, Resulting Numbers: [57] 57,29 unequal: No Solution Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 8*49=392, Resulting Numbers: [392] 392,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 29:[71, 30], Operations: ['97-26=71', '22+8=30'] Exploring Operation: 71*30=2130, Resulting Numbers: [2130] 2130,29 unequal: No Solution Exploring Operation: 71+30=101, Resulting Numbers: [101] 101,29 unequal: No Solution Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 29:[71, 14], Operations: ['97-26=71', '22-8=14'] Exploring Operation: 71*14=994, Resulting Numbers: [994] 994,29 unequal: No Solution Exploring Operation: 71+14=85, Resulting Numbers: [85] 85,29 unequal: No Solution Exploring Operation: 71-14=57, Resulting Numbers: [57] 57,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 29:[22, 79], Operations: ['97-26=71', '8+71=79'] Exploring Operation: 22+79=101, Resulting Numbers: [101] 101,29 unequal: No Solution Exploring Operation: 22*79=1738, Resulting Numbers: [1738] 1738,29 unequal: No Solution Exploring Operation: 79-22=57, Resulting Numbers: [57] 57,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 29:[26, 8, 75], Operations: ['97-22=75'] Exploring Operation: 75-26=49, Resulting Numbers: [8, 49] Generated Node #0,4,0: 29:[8, 49] Operation: 75-26=49 Exploring Operation: 8+75=83, Resulting Numbers: [26, 83] Generated Node #0,4,1: 29:[26, 83] Operation: 8+75=83 Exploring Operation: 75-8=67, Resulting Numbers: [26, 67] Generated Node #0,4,2: 29:[26, 67] Operation: 75-8=67 Exploring Operation: 26-8=18, Resulting Numbers: [75, 18] Generated Node #0,4,3: 29:[75, 18] Operation: 26-8=18 Exploring Operation: 26+8=34, Resulting Numbers: [75, 34] Generated Node #0,4,4: 29:[75, 34] Operation: 26+8=34 Moving to Node #0,3 Current State: 29:[22, 26, 89], Operations: ['97-8=89'] Exploring Operation: 26-22=4, Resulting Numbers: [89, 4] Generated Node #0,3,0: 29:[89, 4] Operation: 26-22=4 Exploring Operation: 22+89=111, Resulting Numbers: [26, 111] Generated Node #0,3,1: 29:[26, 111] Operation: 22+89=111 Exploring Operation: 89-26=63, Resulting Numbers: [22, 63] Generated Node #0,3,2: 29:[22, 63] Operation: 89-26=63 Exploring Operation: 89-22=67, Resulting Numbers: [26, 67] Generated Node #0,3,3: 29:[26, 67] Operation: 89-22=67 Exploring Operation: 22+26=48, Resulting Numbers: [89, 48] Generated Node #0,3,4: 29:[89, 48] Operation: 22+26=48 Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 29:[22, 63], Operations: ['97-8=89', '89-26=63'] Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 22*63=1386, Resulting Numbers: [1386] 1386,29 unequal: No Solution Exploring Operation: 22+63=85, Resulting Numbers: [85] 85,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 29:[26, 67], Operations: ['97-8=89', '89-22=67'] Exploring Operation: 26*67=1742, Resulting Numbers: [1742] 1742,29 unequal: No Solution Exploring Operation: 26+67=93, Resulting Numbers: [93] 93,29 unequal: No Solution Exploring Operation: 67-26=41, Resulting Numbers: [41] 41,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,4 Current State: 29:[89, 48], Operations: ['97-8=89', '22+26=48'] Exploring Operation: 89+48=137, Resulting Numbers: [137] 137,29 unequal: No Solution Exploring Operation: 89*48=4272, Resulting Numbers: [4272] 4272,29 unequal: No Solution Exploring Operation: 89-48=41, Resulting Numbers: [41] 41,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 29:[89, 4], Operations: ['97-8=89', '26-22=4'] Exploring Operation: 89-4=85, Resulting Numbers: [85] 85,29 unequal: No Solution Exploring Operation: 89*4=356, Resulting Numbers: [356] 356,29 unequal: No Solution Exploring Operation: 89+4=93, Resulting Numbers: [93] 93,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 29:[26, 111], Operations: ['97-8=89', '22+89=111'] Exploring Operation: 26*111=2886, Resulting Numbers: [2886] 2886,29 unequal: No Solution Exploring Operation: 26+111=137, Resulting Numbers: [137] 137,29 unequal: No Solution Exploring Operation: 111-26=85, Resulting Numbers: [85] 85,29 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 29:[97, 26, 30], Operations: ['22+8=30'] Exploring Operation: 97-26=71, Resulting Numbers: [30, 71] Generated Node #0,1,0: 29:[30, 71] Operation: 97-26=71 Exploring Operation: 30-26=4, Resulting Numbers: [97, 4] Generated Node #0,1,1: 29:[97, 4] Operation: 30-26=4 Exploring Operation: 97+26=123, Resulting Numbers: [30, 123] Generated Node #0,1,2: 29:[30, 123] Operation: 97+26=123 Exploring Operation: 26+30=56, Resulting Numbers: [97, 56] Generated Node #0,1,3: 29:[97, 56] Operation: 26+30=56 Exploring Operation: 97-30=67, Resulting Numbers: [26, 67] Generated Node #0,1,4: 29:[26, 67] Operation: 97-30=67 Moving to Node #0,0 Current State: 29:[97, 22, 34], Operations: ['26+8=34'] Exploring Operation: 97-22=75, Resulting Numbers: [34, 75] Generated Node #0,0,0: 29:[34, 75] Operation: 97-22=75 Exploring Operation: 97-34=63, Resulting Numbers: [22, 63] Generated Node #0,0,1: 29:[22, 63] Operation: 97-34=63 Exploring Operation: 22+34=56, Resulting Numbers: [97, 56] Generated Node #0,0,2: 29:[97, 56] Operation: 22+34=56 Exploring Operation: 34-22=12, Resulting Numbers: [97, 12] Generated Node #0,0,3: 29:[97, 12] Operation: 34-22=12 Exploring Operation: 97+22=119, Resulting Numbers: [34, 119] Generated Node #0,0,4: 29:[34, 119] Operation: 97+22=119 Moving to Node #0,4,0 Current State: 29:[8, 49], Operations: ['97-22=75', '75-26=49'] Exploring Operation: 49-8=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 8*49=392, Resulting Numbers: [392] 392,29 unequal: No Solution Exploring Operation: 8+49=57, Resulting Numbers: [57] 57,29 unequal: No Solution Moving to Node #0,1,4 Current State: 29:[26, 67], Operations: ['22+8=30', '97-30=67'] Exploring Operation: 26*67=1742, Resulting Numbers: [1742] 1742,29 unequal: No Solution Exploring Operation: 26+67=93, Resulting Numbers: [93] 93,29 unequal: No Solution Exploring Operation: 67-26=41, Resulting Numbers: [41] 41,29 unequal: No Solution Moving to Node #0,4,2 Current State: 29:[26, 67], Operations: ['97-22=75', '75-8=67'] Exploring Operation: 26*67=1742, Resulting Numbers: [1742] 1742,29 unequal: No Solution Exploring Operation: 67-26=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 26+67=93, Resulting Numbers: [93] 93,29 unequal: No Solution Moving to Node #0,0,1 Current State: 29:[22, 63], Operations: ['26+8=34', '97-34=63'] Exploring Operation: 22*63=1386, Resulting Numbers: [1386] 1386,29 unequal: No Solution Exploring Operation: 63-22=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 22+63=85, Resulting Numbers: [85] 85,29 unequal: No Solution Moving to Node #0,1,0 Current State: 29:[30, 71], Operations: ['22+8=30', '97-26=71'] Exploring Operation: 30+71=101, Resulting Numbers: [101] 101,29 unequal: No Solution Exploring Operation: 71-30=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 30*71=2130, Resulting Numbers: [2130] 2130,29 unequal: No Solution Moving to Node #0,4,4 Current State: 29:[75, 34], Operations: ['97-22=75', '26+8=34'] Exploring Operation: 75-34=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 75*34=2550, Resulting Numbers: [2550] 2550,29 unequal: No Solution Exploring Operation: 75+34=109, Resulting Numbers: [109] 109,29 unequal: No Solution Moving to Node #0,0,0 Current State: 29:[34, 75], Operations: ['26+8=34', '97-22=75'] Exploring Operation: 75-34=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 34*75=2550, Resulting Numbers: [2550] 2550,29 unequal: No Solution Exploring Operation: 34+75=109, Resulting Numbers: [109] 109,29 unequal: No Solution Moving to Node #0,4,3 Current State: 29:[75, 18], Operations: ['97-22=75', '26-8=18'] Exploring Operation: 75*18=1350, Resulting Numbers: [1350] 1350,29 unequal: No Solution Exploring Operation: 75-18=57, Resulting Numbers: [57] 57,29 unequal: No Solution Exploring Operation: 75+18=93, Resulting Numbers: [93] 93,29 unequal: No Solution Moving to Node #0,4,1 Current State: 29:[26, 83], Operations: ['97-22=75', '8+75=83'] Exploring Operation: 26+83=109, Resulting Numbers: [109] 109,29 unequal: No Solution Exploring Operation: 83-26=57, Resulting Numbers: [57] 57,29 unequal: No Solution Exploring Operation: 26*83=2158, Resulting Numbers: [2158] 2158,29 unequal: No Solution Moving to Node #0,0,3 Current State: 29:[97, 12], Operations: ['26+8=34', '34-22=12'] Exploring Operation: 97*12=1164, Resulting Numbers: [1164] 1164,29 unequal: No Solution Exploring Operation: 97+12=109, Resulting Numbers: [109] 109,29 unequal: No Solution Exploring Operation: 97-12=85, Resulting Numbers: [85] 85,29 unequal: No Solution Moving to Node #0,1,1 Current State: 29:[97, 4], Operations: ['22+8=30', '30-26=4'] Exploring Operation: 97-4=93, Resulting Numbers: [93] 93,29 unequal: No Solution Exploring Operation: 97*4=388, Resulting Numbers: [388] 388,29 unequal: No Solution Exploring Operation: 97+4=101, Resulting Numbers: [101] 101,29 unequal: No Solution Moving to Node #0,0,2 Current State: 29:[97, 56], Operations: ['26+8=34', '22+34=56'] Exploring Operation: 97*56=5432, Resulting Numbers: [5432] 5432,29 unequal: No Solution Exploring Operation: 97+56=153, Resulting Numbers: [153] 153,29 unequal: No Solution Exploring Operation: 97-56=41, Resulting Numbers: [41] 41,29 unequal: No Solution Moving to Node #0,0,4 Current State: 29:[34, 119], Operations: ['26+8=34', '97+22=119'] Exploring Operation: 119-34=85, Resulting Numbers: [85] 85,29 unequal: No Solution Exploring Operation: 34+119=153, Resulting Numbers: [153] 153,29 unequal: No Solution Exploring Operation: 34*119=4046, Resulting Numbers: [4046] 4046,29 unequal: No Solution Moving to Node #0,1,2 Current State: 29:[30, 123], Operations: ['22+8=30', '97+26=123'] Exploring Operation: 30*123=3690, Resulting Numbers: [3690] 3690,29 unequal: No Solution Exploring Operation: 123-30=93, Resulting Numbers: [93] 93,29 unequal: No Solution Exploring Operation: 30+123=153, Resulting Numbers: [153] 153,29 unequal: No Solution Moving to Node #0,1,3 Current State: 29:[97, 56], Operations: ['22+8=30', '26+30=56'] Exploring Operation: 97*56=5432, Resulting Numbers: [5432] 5432,29 unequal: No Solution Exploring Operation: 97-56=41, Resulting Numbers: [41] 41,29 unequal: No Solution Exploring Operation: 97+56=153, Resulting Numbers: [153] 153,29 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 7, 98, 56, 16 ]
58
[ "98/7=14", "56+16=72", "72-14=58" ]
Current State: 58:[7, 98, 56, 16], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [56, 16, 14] Generated Node #2: [56, 16, 14] from Operation: 98/7=14 Current State: 58:[56, 16, 14], Operations: ['98/7=14'] Exploring Operation: 56+16=72, Resulting Numbers: [14, 72] Generated Node #3: [14, 72] from Operation: 56+16=72 Current State: 58:[14, 72], Operations: ['98/7=14', '56+16=72'] Exploring Operation: 72-14=58, Resulting Numbers: [58] 58,58 equal: Goal Reached
4
Current State: 58:[7, 98, 56, 16], Operations: [] Exploring Operation: 98-16=82, Resulting Numbers: [7, 56, 82] Generated Node #0,0: 58:[7, 56, 82] Operation: 98-16=82 Exploring Operation: 98-56=42, Resulting Numbers: [7, 16, 42] Generated Node #0,1: 58:[7, 16, 42] Operation: 98-56=42 Exploring Operation: 7+16=23, Resulting Numbers: [98, 56, 23] Generated Node #0,2: 58:[98, 56, 23] Operation: 7+16=23 Exploring Operation: 98/7=14, Resulting Numbers: [56, 16, 14] Generated Node #0,3: 58:[56, 16, 14] Operation: 98/7=14 Exploring Operation: 98-7=91, Resulting Numbers: [56, 16, 91] Generated Node #0,4: 58:[56, 16, 91] Operation: 98-7=91 Moving to Node #0,3 Current State: 58:[56, 16, 14], Operations: ['98/7=14'] Exploring Operation: 56-16=40, Resulting Numbers: [14, 40] Generated Node #0,3,0: 58:[14, 40] Operation: 56-16=40 Exploring Operation: 16-14=2, Resulting Numbers: [56, 2] Generated Node #0,3,1: 58:[56, 2] Operation: 16-14=2 Exploring Operation: 56+14=70, Resulting Numbers: [16, 70] Generated Node #0,3,2: 58:[16, 70] Operation: 56+14=70 Exploring Operation: 56/14=4, Resulting Numbers: [16, 4] Generated Node #0,3,3: 58:[16, 4] Operation: 56/14=4 Exploring Operation: 16+14=30, Resulting Numbers: [56, 30] Generated Node #0,3,4: 58:[56, 30] Operation: 16+14=30 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 58:[56, 2], Operations: ['98/7=14', '16-14=2'] Exploring Operation: 56/2=28, Resulting Numbers: [28] 28,58 unequal: No Solution Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Moving to Node #0 Current State: 58:[7, 98, 56, 16], Operations: [] Exploring Operation: 98/7=14, Resulting Numbers: [56, 16, 14] Generated Node #0,3: 58:[56, 16, 14] Operation: 98/7=14 Moving to Node #0,3 Current State: 58:[56, 16, 14], Operations: ['98/7=14'] Exploring Operation: 16-14=2, Resulting Numbers: [56, 2] Generated Node #0,3,1: 58:[56, 2] Operation: 16-14=2 Moving to Node #0,3,1 Current State: 58:[56, 2], Operations: ['98/7=14', '16-14=2'] Exploring Operation: 56+2=58, Resulting Numbers: [58] 58,58 equal: Goal Reached Exit Sub Search at level 1
0.986111
hs_5
mult_heuristic
[ 14, 13, 95, 29 ]
66
[ "14-13=1", "95-29=66", "1*66=66" ]
Current State: 66:[14, 13, 95, 29], Operations: [] Exploring Operation: 14-13=1, Resulting Numbers: [95, 29, 1] Generated Node #2: [95, 29, 1] from Operation: 14-13=1 Current State: 66:[95, 29, 1], Operations: ['14-13=1'] Exploring Operation: 95-29=66, Resulting Numbers: [1, 66] Generated Node #3: [1, 66] from Operation: 95-29=66 Current State: 66:[1, 66], Operations: ['14-13=1', '95-29=66'] Exploring Operation: 1*66=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[14, 13, 95, 29], Operations: [] Exploring Operation: 95-14=81, Resulting Numbers: [13, 29, 81] Generated Node #0,0: 66:[13, 29, 81] Operation: 95-14=81 Exploring Operation: 95-13=82, Resulting Numbers: [14, 29, 82] Generated Node #0,1: 66:[14, 29, 82] Operation: 95-13=82 Exploring Operation: 95-29=66, Resulting Numbers: [14, 13, 66] Generated Node #0,2: 66:[14, 13, 66] Operation: 95-29=66 Exploring Operation: 14-13=1, Resulting Numbers: [95, 29, 1] Generated Node #0,3: 66:[95, 29, 1] Operation: 14-13=1 Moving to Node #0,2 Current State: 66:[14, 13, 66], Operations: ['95-29=66'] Exploring Operation: 14-13=1, Resulting Numbers: [66, 1] Generated Node #0,2,0: 66:[66, 1] Operation: 14-13=1 Exploring Operation: 14+13=27, Resulting Numbers: [66, 27] Generated Node #0,2,1: 66:[66, 27] Operation: 14+13=27 Exploring Operation: 14+66=80, Resulting Numbers: [13, 80] Generated Node #0,2,2: 66:[13, 80] Operation: 14+66=80 Exploring Operation: 66-14=52, Resulting Numbers: [13, 52] Generated Node #0,2,3: 66:[13, 52] Operation: 66-14=52 Moving to Node #0,0 Current State: 66:[13, 29, 81], Operations: ['95-14=81'] Exploring Operation: 13+29=42, Resulting Numbers: [81, 42] Generated Node #0,0,0: 66:[81, 42] Operation: 13+29=42 Exploring Operation: 81-29=52, Resulting Numbers: [13, 52] Generated Node #0,0,1: 66:[13, 52] Operation: 81-29=52 Exploring Operation: 81-13=68, Resulting Numbers: [29, 68] Generated Node #0,0,2: 66:[29, 68] Operation: 81-13=68 Exploring Operation: 29-13=16, Resulting Numbers: [81, 16] Generated Node #0,0,3: 66:[81, 16] Operation: 29-13=16 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 66:[29, 68], Operations: ['95-14=81', '81-13=68'] Exploring Operation: 29*68=1972, Resulting Numbers: [1972] 1972,66 unequal: No Solution Exploring Operation: 68-29=39, Resulting Numbers: [39] 39,66 unequal: No Solution Exploring Operation: 29+68=97, Resulting Numbers: [97] 97,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 66:[13, 52], Operations: ['95-14=81', '81-29=52'] Exploring Operation: 13*52=676, Resulting Numbers: [676] 676,66 unequal: No Solution Exploring Operation: 52-13=39, Resulting Numbers: [39] 39,66 unequal: No Solution Exploring Operation: 52/13=4, Resulting Numbers: [4] 4,66 unequal: No Solution Exploring Operation: 13+52=65, Resulting Numbers: [65] 65,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 66:[81, 16], Operations: ['95-14=81', '29-13=16'] Exploring Operation: 81-16=65, Resulting Numbers: [65] 65,66 unequal: No Solution Exploring Operation: 81+16=97, Resulting Numbers: [97] 97,66 unequal: No Solution Exploring Operation: 81*16=1296, Resulting Numbers: [1296] 1296,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 66:[81, 42], Operations: ['95-14=81', '13+29=42'] Exploring Operation: 81*42=3402, Resulting Numbers: [3402] 3402,66 unequal: No Solution Exploring Operation: 81-42=39, Resulting Numbers: [39] 39,66 unequal: No Solution Exploring Operation: 81+42=123, Resulting Numbers: [123] 123,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 66:[14, 29, 82], Operations: ['95-13=82'] Exploring Operation: 14+29=43, Resulting Numbers: [82, 43] Generated Node #0,1,0: 66:[82, 43] Operation: 14+29=43 Exploring Operation: 82-14=68, Resulting Numbers: [29, 68] Generated Node #0,1,1: 66:[29, 68] Operation: 82-14=68 Exploring Operation: 82-29=53, Resulting Numbers: [14, 53] Generated Node #0,1,2: 66:[14, 53] Operation: 82-29=53 Exploring Operation: 29-14=15, Resulting Numbers: [82, 15] Generated Node #0,1,3: 66:[82, 15] Operation: 29-14=15 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 66:[29, 68], Operations: ['95-13=82', '82-14=68'] Exploring Operation: 29+68=97, Resulting Numbers: [97] 97,66 unequal: No Solution Exploring Operation: 68-29=39, Resulting Numbers: [39] 39,66 unequal: No Solution Exploring Operation: 29*68=1972, Resulting Numbers: [1972] 1972,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 66:[14, 53], Operations: ['95-13=82', '82-29=53'] Exploring Operation: 14*53=742, Resulting Numbers: [742] 742,66 unequal: No Solution Exploring Operation: 14+53=67, Resulting Numbers: [67] 67,66 unequal: No Solution Exploring Operation: 53-14=39, Resulting Numbers: [39] 39,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 66:[82, 15], Operations: ['95-13=82', '29-14=15'] Exploring Operation: 82-15=67, Resulting Numbers: [67] 67,66 unequal: No Solution Exploring Operation: 82*15=1230, Resulting Numbers: [1230] 1230,66 unequal: No Solution Exploring Operation: 82+15=97, Resulting Numbers: [97] 97,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 66:[82, 43], Operations: ['95-13=82', '14+29=43'] Exploring Operation: 82-43=39, Resulting Numbers: [39] 39,66 unequal: No Solution Exploring Operation: 82+43=125, Resulting Numbers: [125] 125,66 unequal: No Solution Exploring Operation: 82*43=3526, Resulting Numbers: [3526] 3526,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 66:[95, 29, 1], Operations: ['14-13=1'] Exploring Operation: 29+1=30, Resulting Numbers: [95, 30] Generated Node #0,3,0: 66:[95, 30] Operation: 29+1=30 Exploring Operation: 95-29=66, Resulting Numbers: [1, 66] Generated Node #0,3,1: 66:[1, 66] Operation: 95-29=66 Exploring Operation: 95*1=95, Resulting Numbers: [29, 95] Generated Node #0,3,2: 66:[29, 95] Operation: 95*1=95 Exploring Operation: 95-1=94, Resulting Numbers: [29, 94] Generated Node #0,3,3: 66:[29, 94] Operation: 95-1=94 Moving to Node #0,2,0 Current State: 66:[66, 1], Operations: ['95-29=66', '14-13=1'] Exploring Operation: 66/1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[14, 13, 95, 29], Operations: [] Exploring Operation: 95-29=66, Resulting Numbers: [14, 13, 66] Generated Node #0,2: 66:[14, 13, 66] Operation: 95-29=66 Moving to Node #0,2 Current State: 66:[14, 13, 66], Operations: ['95-29=66'] Exploring Operation: 14-13=1, Resulting Numbers: [66, 1] Generated Node #0,2,0: 66:[66, 1] Operation: 14-13=1 Moving to Node #0,2,0 Current State: 66:[66, 1], Operations: ['95-29=66', '14-13=1'] Exploring Operation: 66/1=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
0.956597
hs_4
mult_heuristic
[ 88, 21, 59, 69 ]
57
[ "88-21=67", "69-59=10", "67-10=57" ]
Current State: 57:[88, 21, 59, 69], Operations: [] Exploring Operation: 88-21=67, Resulting Numbers: [59, 69, 67] Generated Node #2: [59, 69, 67] from Operation: 88-21=67 Current State: 57:[59, 69, 67], Operations: ['88-21=67'] Exploring Operation: 69-59=10, Resulting Numbers: [67, 10] Generated Node #3: [67, 10] from Operation: 69-59=10 Current State: 57:[67, 10], Operations: ['88-21=67', '69-59=10'] Exploring Operation: 67-10=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
4
Current State: 57:[88, 21, 59, 69], Operations: [] Exploring Operation: 88-21=67, Resulting Numbers: [59, 69, 67] Generated Node #0,0: 57:[59, 69, 67] Operation: 88-21=67 Exploring Operation: 88-69=19, Resulting Numbers: [21, 59, 19] Generated Node #0,1: 57:[21, 59, 19] Operation: 88-69=19 Moving to Node #0,1 Current State: 57:[21, 59, 19], Operations: ['88-69=19'] Exploring Operation: 59-21=38, Resulting Numbers: [19, 38] Generated Node #0,1,0: 57:[19, 38] Operation: 59-21=38 Exploring Operation: 21-19=2, Resulting Numbers: [59, 2] Generated Node #0,1,1: 57:[59, 2] Operation: 21-19=2 Moving to Node #0,0 Current State: 57:[59, 69, 67], Operations: ['88-21=67'] Exploring Operation: 69-67=2, Resulting Numbers: [59, 2] Generated Node #0,0,0: 57:[59, 2] Operation: 69-67=2 Exploring Operation: 69-59=10, Resulting Numbers: [67, 10] Generated Node #0,0,1: 57:[67, 10] Operation: 69-59=10 Moving to Node #0,1,1 Current State: 57:[59, 2], Operations: ['88-69=19', '21-19=2'] Exploring Operation: 59+2=61, Resulting Numbers: [61] 61,57 unequal: No Solution Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached Moving to Node #0 Current State: 57:[88, 21, 59, 69], Operations: [] Exploring Operation: 88-69=19, Resulting Numbers: [21, 59, 19] Generated Node #0,1: 57:[21, 59, 19] Operation: 88-69=19 Moving to Node #0,1 Current State: 57:[21, 59, 19], Operations: ['88-69=19'] Exploring Operation: 21-19=2, Resulting Numbers: [59, 2] Generated Node #0,1,1: 57:[59, 2] Operation: 21-19=2 Moving to Node #0,1,1 Current State: 57:[59, 2], Operations: ['88-69=19', '21-19=2'] Exploring Operation: 59-2=57, Resulting Numbers: [57] 57,57 equal: Goal Reached
0.989583
hs_2
mult_heuristic
[ 10, 19, 97, 60 ]
66
[ "10+19=29", "97-60=37", "29+37=66" ]
Current State: 66:[10, 19, 97, 60], Operations: [] Exploring Operation: 10+19=29, Resulting Numbers: [97, 60, 29] Generated Node #2: [97, 60, 29] from Operation: 10+19=29 Current State: 66:[97, 60, 29], Operations: ['10+19=29'] Exploring Operation: 97-60=37, Resulting Numbers: [29, 37] Generated Node #3: [29, 37] from Operation: 97-60=37 Current State: 66:[29, 37], Operations: ['10+19=29', '97-60=37'] Exploring Operation: 29+37=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[10, 19, 97, 60], Operations: [] Exploring Operation: 97-19=78, Resulting Numbers: [10, 60, 78] Generated Node #0,0: 66:[10, 60, 78] Operation: 97-19=78 Exploring Operation: 97-60=37, Resulting Numbers: [10, 19, 37] Generated Node #0,1: 66:[10, 19, 37] Operation: 97-60=37 Exploring Operation: 97-10=87, Resulting Numbers: [19, 60, 87] Generated Node #0,2: 66:[19, 60, 87] Operation: 97-10=87 Exploring Operation: 10+60=70, Resulting Numbers: [19, 97, 70] Generated Node #0,3: 66:[19, 97, 70] Operation: 10+60=70 Exploring Operation: 60/10=6, Resulting Numbers: [19, 97, 6] Generated Node #0,4: 66:[19, 97, 6] Operation: 60/10=6 Moving to Node #0,1 Current State: 66:[10, 19, 37], Operations: ['97-60=37'] Exploring Operation: 10+19=29, Resulting Numbers: [37, 29] Generated Node #0,1,0: 66:[37, 29] Operation: 10+19=29 Exploring Operation: 37-10=27, Resulting Numbers: [19, 27] Generated Node #0,1,1: 66:[19, 27] Operation: 37-10=27 Exploring Operation: 37-19=18, Resulting Numbers: [10, 18] Generated Node #0,1,2: 66:[10, 18] Operation: 37-19=18 Exploring Operation: 19+37=56, Resulting Numbers: [10, 56] Generated Node #0,1,3: 66:[10, 56] Operation: 19+37=56 Exploring Operation: 19-10=9, Resulting Numbers: [37, 9] Generated Node #0,1,4: 66:[37, 9] Operation: 19-10=9 Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 66:[10, 18], Operations: ['97-60=37', '37-19=18'] Exploring Operation: 18-10=8, Resulting Numbers: [8] 8,66 unequal: No Solution Exploring Operation: 10*18=180, Resulting Numbers: [180] 180,66 unequal: No Solution Exploring Operation: 10+18=28, Resulting Numbers: [28] 28,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,4 Current State: 66:[37, 9], Operations: ['97-60=37', '19-10=9'] Exploring Operation: 37*9=333, Resulting Numbers: [333] 333,66 unequal: No Solution Exploring Operation: 37+9=46, Resulting Numbers: [46] 46,66 unequal: No Solution Exploring Operation: 37-9=28, Resulting Numbers: [28] 28,66 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 66:[37, 29], Operations: ['97-60=37', '10+19=29'] Exploring Operation: 37-29=8, Resulting Numbers: [8] 8,66 unequal: No Solution Exploring Operation: 37+29=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[10, 19, 97, 60], Operations: [] Exploring Operation: 97-60=37, Resulting Numbers: [10, 19, 37] Generated Node #0,1: 66:[10, 19, 37] Operation: 97-60=37 Moving to Node #0,1 Current State: 66:[10, 19, 37], Operations: ['97-60=37'] Exploring Operation: 10+19=29, Resulting Numbers: [37, 29] Generated Node #0,1,0: 66:[37, 29] Operation: 10+19=29 Moving to Node #0,1,0 Current State: 66:[37, 29], Operations: ['97-60=37', '10+19=29'] Exploring Operation: 37+29=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_5
sum_heuristic
[ 21, 54, 92, 3 ]
51
[ "21+54=75", "92-75=17", "3*17=51" ]
Current State: 51:[21, 54, 92, 3], Operations: [] Exploring Operation: 21+54=75, Resulting Numbers: [92, 3, 75] Generated Node #2: [92, 3, 75] from Operation: 21+54=75 Current State: 51:[92, 3, 75], Operations: ['21+54=75'] Exploring Operation: 92-75=17, Resulting Numbers: [3, 17] Generated Node #3: [3, 17] from Operation: 92-75=17 Current State: 51:[3, 17], Operations: ['21+54=75', '92-75=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[21, 54, 92, 3], Operations: [] Exploring Operation: 21-3=18, Resulting Numbers: [54, 92, 18] Generated Node #0,0: 51:[54, 92, 18] Operation: 21-3=18 Exploring Operation: 92-3=89, Resulting Numbers: [21, 54, 89] Generated Node #0,1: 51:[21, 54, 89] Operation: 92-3=89 Exploring Operation: 54-3=51, Resulting Numbers: [21, 92, 51] Generated Node #0,2: 51:[21, 92, 51] Operation: 54-3=51 Exploring Operation: 92-54=38, Resulting Numbers: [21, 3, 38] Generated Node #0,3: 51:[21, 3, 38] Operation: 92-54=38 Exploring Operation: 92-21=71, Resulting Numbers: [54, 3, 71] Generated Node #0,4: 51:[54, 3, 71] Operation: 92-21=71 Start Sub Search at level 1: Moving to Node #0,3 Current State: 51:[21, 3, 38], Operations: ['92-54=38'] Exploring Operation: 38-21=17, Resulting Numbers: [3, 17] Generated Node #0,3,0: 51:[3, 17] Operation: 38-21=17 Exploring Operation: 21/3=7, Resulting Numbers: [38, 7] Generated Node #0,3,1: 51:[38, 7] Operation: 21/3=7 Exploring Operation: 21-3=18, Resulting Numbers: [38, 18] Generated Node #0,3,2: 51:[38, 18] Operation: 21-3=18 Exploring Operation: 21+38=59, Resulting Numbers: [3, 59] Generated Node #0,3,3: 51:[3, 59] Operation: 21+38=59 Exploring Operation: 3+38=41, Resulting Numbers: [21, 41] Generated Node #0,3,4: 51:[21, 41] Operation: 3+38=41 Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 51:[3, 17], Operations: ['92-54=38', '38-21=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[21, 54, 92, 3], Operations: [] Exploring Operation: 92-54=38, Resulting Numbers: [21, 3, 38] Generated Node #0,3: 51:[21, 3, 38] Operation: 92-54=38 Moving to Node #0,3 Current State: 51:[21, 3, 38], Operations: ['92-54=38'] Exploring Operation: 38-21=17, Resulting Numbers: [3, 17] Generated Node #0,3,0: 51:[3, 17] Operation: 38-21=17 Moving to Node #0,3,0 Current State: 51:[3, 17], Operations: ['92-54=38', '38-21=17'] Exploring Operation: 3*17=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_5
mult_heuristic
[ 14, 11, 69, 24 ]
47
[ "14-11=3", "69/3=23", "24+23=47" ]
Current State: 47:[14, 11, 69, 24], Operations: [] Exploring Operation: 14-11=3, Resulting Numbers: [69, 24, 3] Generated Node #2: [69, 24, 3] from Operation: 14-11=3 Current State: 47:[69, 24, 3], Operations: ['14-11=3'] Exploring Operation: 69/3=23, Resulting Numbers: [24, 23] Generated Node #3: [24, 23] from Operation: 69/3=23 Current State: 47:[24, 23], Operations: ['14-11=3', '69/3=23'] Exploring Operation: 24+23=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[14, 11, 69, 24], Operations: [] Exploring Operation: 14+11=25, Resulting Numbers: [69, 24, 25] Generated Node #0,0: 47:[69, 24, 25] Operation: 14+11=25 Exploring Operation: 14+24=38, Resulting Numbers: [11, 69, 38] Generated Node #0,1: 47:[11, 69, 38] Operation: 14+24=38 Exploring Operation: 69-14=55, Resulting Numbers: [11, 24, 55] Generated Node #0,2: 47:[11, 24, 55] Operation: 69-14=55 Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[69, 24, 25], Operations: ['14+11=25'] Exploring Operation: 69-25=44, Resulting Numbers: [24, 44] Generated Node #0,0,0: 47:[24, 44] Operation: 69-25=44 Exploring Operation: 69-24=45, Resulting Numbers: [25, 45] Generated Node #0,0,1: 47:[25, 45] Operation: 69-24=45 Exploring Operation: 24+25=49, Resulting Numbers: [69, 49] Generated Node #0,0,2: 47:[69, 49] Operation: 24+25=49 Moving to Node #0,0,1 Current State: 47:[25, 45], Operations: ['14+11=25', '69-24=45'] Exploring Operation: 45-25=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 25+45=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 25*45=1125, Resulting Numbers: [1125] 1125,47 unequal: No Solution Moving to Node #0,0,2 Current State: 47:[69, 49], Operations: ['14+11=25', '24+25=49'] Exploring Operation: 69+49=118, Resulting Numbers: [118] 118,47 unequal: No Solution Exploring Operation: 69-49=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 69*49=3381, Resulting Numbers: [3381] 3381,47 unequal: No Solution Moving to Node #0,0,0 Current State: 47:[24, 44], Operations: ['14+11=25', '69-25=44'] Exploring Operation: 24+44=68, Resulting Numbers: [68] 68,47 unequal: No Solution Exploring Operation: 24*44=1056, Resulting Numbers: [1056] 1056,47 unequal: No Solution Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 47:[11, 69, 38], Operations: ['14+24=38'] Exploring Operation: 11+69=80, Resulting Numbers: [38, 80] Generated Node #0,1,0: 47:[38, 80] Operation: 11+69=80 Exploring Operation: 69-11=58, Resulting Numbers: [38, 58] Generated Node #0,1,1: 47:[38, 58] Operation: 69-11=58 Exploring Operation: 11+38=49, Resulting Numbers: [69, 49] Generated Node #0,1,2: 47:[69, 49] Operation: 11+38=49 Moving to Node #0,1,1 Current State: 47:[38, 58], Operations: ['14+24=38', '69-11=58'] Exploring Operation: 38*58=2204, Resulting Numbers: [2204] 2204,47 unequal: No Solution Exploring Operation: 38+58=96, Resulting Numbers: [96] 96,47 unequal: No Solution Exploring Operation: 58-38=20, Resulting Numbers: [20] 20,47 unequal: No Solution Moving to Node #0,1,2 Current State: 47:[69, 49], Operations: ['14+24=38', '11+38=49'] Exploring Operation: 69*49=3381, Resulting Numbers: [3381] 3381,47 unequal: No Solution Exploring Operation: 69+49=118, Resulting Numbers: [118] 118,47 unequal: No Solution Exploring Operation: 69-49=20, Resulting Numbers: [20] 20,47 unequal: No Solution Moving to Node #0,1,0 Current State: 47:[38, 80], Operations: ['14+24=38', '11+69=80'] Exploring Operation: 38+80=118, Resulting Numbers: [118] 118,47 unequal: No Solution Exploring Operation: 38*80=3040, Resulting Numbers: [3040] 3040,47 unequal: No Solution Exploring Operation: 80-38=42, Resulting Numbers: [42] 42,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 47:[11, 24, 55], Operations: ['69-14=55'] Exploring Operation: 24-11=13, Resulting Numbers: [55, 13] Generated Node #0,2,0: 47:[55, 13] Operation: 24-11=13 Exploring Operation: 11+24=35, Resulting Numbers: [55, 35] Generated Node #0,2,1: 47:[55, 35] Operation: 11+24=35 Exploring Operation: 55-11=44, Resulting Numbers: [24, 44] Generated Node #0,2,2: 47:[24, 44] Operation: 55-11=44 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 47:[55, 35], Operations: ['69-14=55', '11+24=35'] Exploring Operation: 55-35=20, Resulting Numbers: [20] 20,47 unequal: No Solution Exploring Operation: 55+35=90, Resulting Numbers: [90] 90,47 unequal: No Solution Exploring Operation: 55*35=1925, Resulting Numbers: [1925] 1925,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 47:[24, 44], Operations: ['69-14=55', '55-11=44'] Exploring Operation: 24*44=1056, Resulting Numbers: [1056] 1056,47 unequal: No Solution Exploring Operation: 24+44=68, Resulting Numbers: [68] 68,47 unequal: No Solution Exploring Operation: 44-24=20, Resulting Numbers: [20] 20,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 47:[55, 13], Operations: ['69-14=55', '24-11=13'] Exploring Operation: 55*13=715, Resulting Numbers: [715] 715,47 unequal: No Solution Exploring Operation: 55-13=42, Resulting Numbers: [42] 42,47 unequal: No Solution Exploring Operation: 55+13=68, Resulting Numbers: [68] 68,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 44, 35, 83, 12 ]
16
[ "44+35=79", "83+12=95", "95-79=16" ]
Current State: 16:[44, 35, 83, 12], Operations: [] Exploring Operation: 44+35=79, Resulting Numbers: [83, 12, 79] Generated Node #2: [83, 12, 79] from Operation: 44+35=79 Current State: 16:[83, 12, 79], Operations: ['44+35=79'] Exploring Operation: 83+12=95, Resulting Numbers: [79, 95] Generated Node #3: [79, 95] from Operation: 83+12=95 Current State: 16:[79, 95], Operations: ['44+35=79', '83+12=95'] Exploring Operation: 95-79=16, Resulting Numbers: [16] 16,16 equal: Goal Reached
4
Current State: 16:[44, 35, 83, 12], Operations: [] Exploring Operation: 83-44=39, Resulting Numbers: [35, 12, 39] Generated Node #0,0: 16:[35, 12, 39] Operation: 83-44=39 Exploring Operation: 83-35=48, Resulting Numbers: [44, 12, 48] Generated Node #0,1: 16:[44, 12, 48] Operation: 83-35=48 Start Sub Search at level 1: Moving to Node #0,0 Current State: 16:[35, 12, 39], Operations: ['83-44=39'] Exploring Operation: 39-35=4, Resulting Numbers: [12, 4] Generated Node #0,0,0: 16:[12, 4] Operation: 39-35=4 Exploring Operation: 35-12=23, Resulting Numbers: [39, 23] Generated Node #0,0,1: 16:[39, 23] Operation: 35-12=23 Moving to Node #0,0,0 Current State: 16:[12, 4], Operations: ['83-44=39', '39-35=4'] Exploring Operation: 12-4=8, Resulting Numbers: [8] 8,16 unequal: No Solution Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached Moving to Node #0 Current State: 16:[44, 35, 83, 12], Operations: [] Exploring Operation: 83-44=39, Resulting Numbers: [35, 12, 39] Generated Node #0,0: 16:[35, 12, 39] Operation: 83-44=39 Moving to Node #0,0 Current State: 16:[35, 12, 39], Operations: ['83-44=39'] Exploring Operation: 39-35=4, Resulting Numbers: [12, 4] Generated Node #0,0,0: 16:[12, 4] Operation: 39-35=4 Moving to Node #0,0,0 Current State: 16:[12, 4], Operations: ['83-44=39', '39-35=4'] Exploring Operation: 12+4=16, Resulting Numbers: [16] 16,16 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
sum_heuristic
[ 8, 90, 84, 34 ]
17
[ "90-8=82", "84-82=2", "34/2=17" ]
Current State: 17:[8, 90, 84, 34], Operations: [] Exploring Operation: 90-8=82, Resulting Numbers: [84, 34, 82] Generated Node #2: [84, 34, 82] from Operation: 90-8=82 Current State: 17:[84, 34, 82], Operations: ['90-8=82'] Exploring Operation: 84-82=2, Resulting Numbers: [34, 2] Generated Node #3: [34, 2] from Operation: 84-82=2 Current State: 17:[34, 2], Operations: ['90-8=82', '84-82=2'] Exploring Operation: 34/2=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[8, 90, 84, 34], Operations: [] Exploring Operation: 90-34=56, Resulting Numbers: [8, 84, 56] Generated Node #0,0: 17:[8, 84, 56] Operation: 90-34=56 Exploring Operation: 84-34=50, Resulting Numbers: [8, 90, 50] Generated Node #0,1: 17:[8, 90, 50] Operation: 84-34=50 Exploring Operation: 90-84=6, Resulting Numbers: [8, 34, 6] Generated Node #0,2: 17:[8, 34, 6] Operation: 90-84=6 Start Sub Search at level 1: Moving to Node #0,2 Current State: 17:[8, 34, 6], Operations: ['90-84=6'] Exploring Operation: 34-6=28, Resulting Numbers: [8, 28] Generated Node #0,2,0: 17:[8, 28] Operation: 34-6=28 Exploring Operation: 8+6=14, Resulting Numbers: [34, 14] Generated Node #0,2,1: 17:[34, 14] Operation: 8+6=14 Exploring Operation: 34-8=26, Resulting Numbers: [6, 26] Generated Node #0,2,2: 17:[6, 26] Operation: 34-8=26 Moving to Node #0,2,0 Current State: 17:[8, 28], Operations: ['90-84=6', '34-6=28'] Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,17 unequal: No Solution Exploring Operation: 8*28=224, Resulting Numbers: [224] 224,17 unequal: No Solution Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,17 unequal: No Solution Moving to Node #0,2,1 Current State: 17:[34, 14], Operations: ['90-84=6', '8+6=14'] Exploring Operation: 34+14=48, Resulting Numbers: [48] 48,17 unequal: No Solution Exploring Operation: 34*14=476, Resulting Numbers: [476] 476,17 unequal: No Solution Exploring Operation: 34-14=20, Resulting Numbers: [20] 20,17 unequal: No Solution Moving to Node #0,2,2 Current State: 17:[6, 26], Operations: ['90-84=6', '34-8=26'] Exploring Operation: 6*26=156, Resulting Numbers: [156] 156,17 unequal: No Solution Exploring Operation: 6+26=32, Resulting Numbers: [32] 32,17 unequal: No Solution Exploring Operation: 26-6=20, Resulting Numbers: [20] 20,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 17:[8, 84, 56], Operations: ['90-34=56'] Exploring Operation: 84-8=76, Resulting Numbers: [56, 76] Generated Node #0,0,0: 17:[56, 76] Operation: 84-8=76 Exploring Operation: 84-56=28, Resulting Numbers: [8, 28] Generated Node #0,0,1: 17:[8, 28] Operation: 84-56=28 Exploring Operation: 56/8=7, Resulting Numbers: [84, 7] Generated Node #0,0,2: 17:[84, 7] Operation: 56/8=7 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 17:[8, 28], Operations: ['90-34=56', '84-56=28'] Exploring Operation: 8*28=224, Resulting Numbers: [224] 224,17 unequal: No Solution Exploring Operation: 8+28=36, Resulting Numbers: [36] 36,17 unequal: No Solution Exploring Operation: 28-8=20, Resulting Numbers: [20] 20,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 17:[84, 7], Operations: ['90-34=56', '56/8=7'] Exploring Operation: 84/7=12, Resulting Numbers: [12] 12,17 unequal: No Solution Exploring Operation: 84+7=91, Resulting Numbers: [91] 91,17 unequal: No Solution Exploring Operation: 84-7=77, Resulting Numbers: [77] 77,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 17:[56, 76], Operations: ['90-34=56', '84-8=76'] Exploring Operation: 56+76=132, Resulting Numbers: [132] 132,17 unequal: No Solution Exploring Operation: 76-56=20, Resulting Numbers: [20] 20,17 unequal: No Solution Exploring Operation: 56*76=4256, Resulting Numbers: [4256] 4256,17 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 17:[8, 90, 50], Operations: ['84-34=50'] Exploring Operation: 90-50=40, Resulting Numbers: [8, 40] Generated Node #0,1,0: 17:[8, 40] Operation: 90-50=40 Exploring Operation: 90-8=82, Resulting Numbers: [50, 82] Generated Node #0,1,1: 17:[50, 82] Operation: 90-8=82 Exploring Operation: 50-8=42, Resulting Numbers: [90, 42] Generated Node #0,1,2: 17:[90, 42] Operation: 50-8=42 Moving to Node #0,1,0 Current State: 17:[8, 40], Operations: ['84-34=50', '90-50=40'] Exploring Operation: 40-8=32, Resulting Numbers: [32] 32,17 unequal: No Solution Exploring Operation: 40/8=5, Resulting Numbers: [5] 5,17 unequal: No Solution Exploring Operation: 8+40=48, Resulting Numbers: [48] 48,17 unequal: No Solution Moving to Node #0,1,1 Current State: 17:[50, 82], Operations: ['84-34=50', '90-8=82'] Exploring Operation: 50+82=132, Resulting Numbers: [132] 132,17 unequal: No Solution Exploring Operation: 82-50=32, Resulting Numbers: [32] 32,17 unequal: No Solution Exploring Operation: 50*82=4100, Resulting Numbers: [4100] 4100,17 unequal: No Solution Moving to Node #0,1,2 Current State: 17:[90, 42], Operations: ['84-34=50', '50-8=42'] Exploring Operation: 90*42=3780, Resulting Numbers: [3780] 3780,17 unequal: No Solution Exploring Operation: 90-42=48, Resulting Numbers: [48] 48,17 unequal: No Solution Exploring Operation: 90+42=132, Resulting Numbers: [132] 132,17 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 81, 41, 3, 32 ]
84
[ "41-32=9", "9/3=3", "81+3=84" ]
Current State: 84:[81, 41, 3, 32], Operations: [] Exploring Operation: 41-32=9, Resulting Numbers: [81, 3, 9] Generated Node #2: [81, 3, 9] from Operation: 41-32=9 Current State: 84:[81, 3, 9], Operations: ['41-32=9'] Exploring Operation: 9/3=3, Resulting Numbers: [81, 3] Generated Node #3: [81, 3] from Operation: 9/3=3 Current State: 84:[81, 3], Operations: ['41-32=9', '9/3=3'] Exploring Operation: 81+3=84, Resulting Numbers: [84] 84,84 equal: Goal Reached
4
Current State: 84:[81, 41, 3, 32], Operations: [] Exploring Operation: 81/3=27, Resulting Numbers: [41, 32, 27] Generated Node #0,0: 84:[41, 32, 27] Operation: 81/3=27 Exploring Operation: 81-41=40, Resulting Numbers: [3, 32, 40] Generated Node #0,1: 84:[3, 32, 40] Operation: 81-41=40 Exploring Operation: 32-3=29, Resulting Numbers: [81, 41, 29] Generated Node #0,2: 84:[81, 41, 29] Operation: 32-3=29 Exploring Operation: 41-32=9, Resulting Numbers: [81, 3, 9] Generated Node #0,3: 84:[81, 3, 9] Operation: 41-32=9 Exploring Operation: 81+3=84, Resulting Numbers: [41, 32, 84] Generated Node #0,4: 84:[41, 32, 84] Operation: 81+3=84 Moving to Node #0,2 Current State: 84:[81, 41, 29], Operations: ['32-3=29'] Exploring Operation: 41-29=12, Resulting Numbers: [81, 12] Generated Node #0,2,0: 84:[81, 12] Operation: 41-29=12 Exploring Operation: 41+29=70, Resulting Numbers: [81, 70] Generated Node #0,2,1: 84:[81, 70] Operation: 41+29=70 Exploring Operation: 81+29=110, Resulting Numbers: [41, 110] Generated Node #0,2,2: 84:[41, 110] Operation: 81+29=110 Exploring Operation: 81-41=40, Resulting Numbers: [29, 40] Generated Node #0,2,3: 84:[29, 40] Operation: 81-41=40 Exploring Operation: 81-29=52, Resulting Numbers: [41, 52] Generated Node #0,2,4: 84:[41, 52] Operation: 81-29=52 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 84:[81, 12], Operations: ['32-3=29', '41-29=12'] Exploring Operation: 81*12=972, Resulting Numbers: [972] 972,84 unequal: No Solution Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 84:[29, 40], Operations: ['32-3=29', '81-41=40'] Exploring Operation: 40-29=11, Resulting Numbers: [11] 11,84 unequal: No Solution Exploring Operation: 29+40=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 29*40=1160, Resulting Numbers: [1160] 1160,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,4 Current State: 84:[41, 52], Operations: ['32-3=29', '81-29=52'] Exploring Operation: 41+52=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 52-41=11, Resulting Numbers: [11] 11,84 unequal: No Solution Exploring Operation: 41*52=2132, Resulting Numbers: [2132] 2132,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 84:[81, 70], Operations: ['32-3=29', '41+29=70'] Exploring Operation: 81*70=5670, Resulting Numbers: [5670] 5670,84 unequal: No Solution Exploring Operation: 81+70=151, Resulting Numbers: [151] 151,84 unequal: No Solution Exploring Operation: 81-70=11, Resulting Numbers: [11] 11,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 84:[41, 110], Operations: ['32-3=29', '81+29=110'] Exploring Operation: 41+110=151, Resulting Numbers: [151] 151,84 unequal: No Solution Exploring Operation: 110-41=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 41*110=4510, Resulting Numbers: [4510] 4510,84 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,4 Current State: 84:[41, 32, 84], Operations: ['81+3=84'] Exploring Operation: 84-32=52, Resulting Numbers: [41, 52] Generated Node #0,4,0: 84:[41, 52] Operation: 84-32=52 Exploring Operation: 84-41=43, Resulting Numbers: [32, 43] Generated Node #0,4,1: 84:[32, 43] Operation: 84-41=43 Exploring Operation: 41-32=9, Resulting Numbers: [84, 9] Generated Node #0,4,2: 84:[84, 9] Operation: 41-32=9 Exploring Operation: 41+32=73, Resulting Numbers: [84, 73] Generated Node #0,4,3: 84:[84, 73] Operation: 41+32=73 Exploring Operation: 32+84=116, Resulting Numbers: [41, 116] Generated Node #0,4,4: 84:[41, 116] Operation: 32+84=116 Moving to Node #0,3 Current State: 84:[81, 3, 9], Operations: ['41-32=9'] Exploring Operation: 81+3=84, Resulting Numbers: [9, 84] Generated Node #0,3,0: 84:[9, 84] Operation: 81+3=84 Exploring Operation: 3+9=12, Resulting Numbers: [81, 12] Generated Node #0,3,1: 84:[81, 12] Operation: 3+9=12 Exploring Operation: 81/3=27, Resulting Numbers: [9, 27] Generated Node #0,3,2: 84:[9, 27] Operation: 81/3=27 Exploring Operation: 81/9=9, Resulting Numbers: [3, 9] Generated Node #0,3,3: 84:[3, 9] Operation: 81/9=9 Exploring Operation: 9-3=6, Resulting Numbers: [81, 6] Generated Node #0,3,4: 84:[81, 6] Operation: 9-3=6 Moving to Node #0,0 Current State: 84:[41, 32, 27], Operations: ['81/3=27'] Exploring Operation: 41-32=9, Resulting Numbers: [27, 9] Generated Node #0,0,0: 84:[27, 9] Operation: 41-32=9 Exploring Operation: 41+32=73, Resulting Numbers: [27, 73] Generated Node #0,0,1: 84:[27, 73] Operation: 41+32=73 Exploring Operation: 41-27=14, Resulting Numbers: [32, 14] Generated Node #0,0,2: 84:[32, 14] Operation: 41-27=14 Exploring Operation: 32-27=5, Resulting Numbers: [41, 5] Generated Node #0,0,3: 84:[41, 5] Operation: 32-27=5 Exploring Operation: 32+27=59, Resulting Numbers: [41, 59] Generated Node #0,0,4: 84:[41, 59] Operation: 32+27=59 Moving to Node #0,1 Current State: 84:[3, 32, 40], Operations: ['81-41=40'] Exploring Operation: 32-3=29, Resulting Numbers: [40, 29] Generated Node #0,1,0: 84:[40, 29] Operation: 32-3=29 Exploring Operation: 3+32=35, Resulting Numbers: [40, 35] Generated Node #0,1,1: 84:[40, 35] Operation: 3+32=35 Exploring Operation: 3+40=43, Resulting Numbers: [32, 43] Generated Node #0,1,2: 84:[32, 43] Operation: 3+40=43 Exploring Operation: 40-3=37, Resulting Numbers: [32, 37] Generated Node #0,1,3: 84:[32, 37] Operation: 40-3=37 Exploring Operation: 40-32=8, Resulting Numbers: [3, 8] Generated Node #0,1,4: 84:[3, 8] Operation: 40-32=8 Moving to Node #0,1,4 Current State: 84:[3, 8], Operations: ['81-41=40', '40-32=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,84 unequal: No Solution Exploring Operation: 3+8=11, Resulting Numbers: [11] 11,84 unequal: No Solution Exploring Operation: 3*8=24, Resulting Numbers: [24] 24,84 unequal: No Solution Moving to Node #0,3,0 Current State: 84:[9, 84], Operations: ['41-32=9', '81+3=84'] Exploring Operation: 9*84=756, Resulting Numbers: [756] 756,84 unequal: No Solution Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,84 unequal: No Solution Exploring Operation: 9+84=93, Resulting Numbers: [93] 93,84 unequal: No Solution Moving to Node #0,3,3 Current State: 84:[3, 9], Operations: ['41-32=9', '81/9=9'] Exploring Operation: 3+9=12, Resulting Numbers: [12] 12,84 unequal: No Solution Exploring Operation: 9-3=6, Resulting Numbers: [6] 6,84 unequal: No Solution Exploring Operation: 9/3=3, Resulting Numbers: [3] 3,84 unequal: No Solution Exploring Operation: 3*9=27, Resulting Numbers: [27] 27,84 unequal: No Solution Moving to Node #0,4,2 Current State: 84:[84, 9], Operations: ['81+3=84', '41-32=9'] Exploring Operation: 84*9=756, Resulting Numbers: [756] 756,84 unequal: No Solution Exploring Operation: 84+9=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 84-9=75, Resulting Numbers: [75] 75,84 unequal: No Solution Moving to Node #0,0,3 Current State: 84:[41, 5], Operations: ['81/3=27', '32-27=5'] Exploring Operation: 41+5=46, Resulting Numbers: [46] 46,84 unequal: No Solution Exploring Operation: 41-5=36, Resulting Numbers: [36] 36,84 unequal: No Solution Exploring Operation: 41*5=205, Resulting Numbers: [205] 205,84 unequal: No Solution Moving to Node #0,0,0 Current State: 84:[27, 9], Operations: ['81/3=27', '41-32=9'] Exploring Operation: 27*9=243, Resulting Numbers: [243] 243,84 unequal: No Solution Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,84 unequal: No Solution Exploring Operation: 27+9=36, Resulting Numbers: [36] 36,84 unequal: No Solution Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,84 unequal: No Solution Moving to Node #0,3,1 Current State: 84:[81, 12], Operations: ['41-32=9', '3+9=12'] Exploring Operation: 81-12=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 81*12=972, Resulting Numbers: [972] 972,84 unequal: No Solution Exploring Operation: 81+12=93, Resulting Numbers: [93] 93,84 unequal: No Solution Moving to Node #0,3,4 Current State: 84:[81, 6], Operations: ['41-32=9', '9-3=6'] Exploring Operation: 81*6=486, Resulting Numbers: [486] 486,84 unequal: No Solution Exploring Operation: 81+6=87, Resulting Numbers: [87] 87,84 unequal: No Solution Exploring Operation: 81-6=75, Resulting Numbers: [75] 75,84 unequal: No Solution Moving to Node #0,3,2 Current State: 84:[9, 27], Operations: ['41-32=9', '81/3=27'] Exploring Operation: 9+27=36, Resulting Numbers: [36] 36,84 unequal: No Solution Exploring Operation: 27-9=18, Resulting Numbers: [18] 18,84 unequal: No Solution Exploring Operation: 27/9=3, Resulting Numbers: [3] 3,84 unequal: No Solution Exploring Operation: 9*27=243, Resulting Numbers: [243] 243,84 unequal: No Solution Moving to Node #0,1,0 Current State: 84:[40, 29], Operations: ['81-41=40', '32-3=29'] Exploring Operation: 40+29=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 40*29=1160, Resulting Numbers: [1160] 1160,84 unequal: No Solution Exploring Operation: 40-29=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,0,2 Current State: 84:[32, 14], Operations: ['81/3=27', '41-27=14'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,84 unequal: No Solution Exploring Operation: 32+14=46, Resulting Numbers: [46] 46,84 unequal: No Solution Exploring Operation: 32*14=448, Resulting Numbers: [448] 448,84 unequal: No Solution Moving to Node #0,1,2 Current State: 84:[32, 43], Operations: ['81-41=40', '3+40=43'] Exploring Operation: 32+43=75, Resulting Numbers: [75] 75,84 unequal: No Solution Exploring Operation: 32*43=1376, Resulting Numbers: [1376] 1376,84 unequal: No Solution Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,4,1 Current State: 84:[32, 43], Operations: ['81+3=84', '84-41=43'] Exploring Operation: 32+43=75, Resulting Numbers: [75] 75,84 unequal: No Solution Exploring Operation: 32*43=1376, Resulting Numbers: [1376] 1376,84 unequal: No Solution Exploring Operation: 43-32=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,1,1 Current State: 84:[40, 35], Operations: ['81-41=40', '3+32=35'] Exploring Operation: 40-35=5, Resulting Numbers: [5] 5,84 unequal: No Solution Exploring Operation: 40+35=75, Resulting Numbers: [75] 75,84 unequal: No Solution Exploring Operation: 40*35=1400, Resulting Numbers: [1400] 1400,84 unequal: No Solution Moving to Node #0,1,3 Current State: 84:[32, 37], Operations: ['81-41=40', '40-3=37'] Exploring Operation: 32*37=1184, Resulting Numbers: [1184] 1184,84 unequal: No Solution Exploring Operation: 32+37=69, Resulting Numbers: [69] 69,84 unequal: No Solution Exploring Operation: 37-32=5, Resulting Numbers: [5] 5,84 unequal: No Solution Moving to Node #0,4,0 Current State: 84:[41, 52], Operations: ['81+3=84', '84-32=52'] Exploring Operation: 52-41=11, Resulting Numbers: [11] 11,84 unequal: No Solution Exploring Operation: 41+52=93, Resulting Numbers: [93] 93,84 unequal: No Solution Exploring Operation: 41*52=2132, Resulting Numbers: [2132] 2132,84 unequal: No Solution Moving to Node #0,4,3 Current State: 84:[84, 73], Operations: ['81+3=84', '41+32=73'] Exploring Operation: 84*73=6132, Resulting Numbers: [6132] 6132,84 unequal: No Solution Exploring Operation: 84+73=157, Resulting Numbers: [157] 157,84 unequal: No Solution Exploring Operation: 84-73=11, Resulting Numbers: [11] 11,84 unequal: No Solution Moving to Node #0,0,1 Current State: 84:[27, 73], Operations: ['81/3=27', '41+32=73'] Exploring Operation: 27*73=1971, Resulting Numbers: [1971] 1971,84 unequal: No Solution Exploring Operation: 27+73=100, Resulting Numbers: [100] 100,84 unequal: No Solution Exploring Operation: 73-27=46, Resulting Numbers: [46] 46,84 unequal: No Solution Moving to Node #0,0,4 Current State: 84:[41, 59], Operations: ['81/3=27', '32+27=59'] Exploring Operation: 41*59=2419, Resulting Numbers: [2419] 2419,84 unequal: No Solution Exploring Operation: 59-41=18, Resulting Numbers: [18] 18,84 unequal: No Solution Exploring Operation: 41+59=100, Resulting Numbers: [100] 100,84 unequal: No Solution Moving to Node #0,4,4 Current State: 84:[41, 116], Operations: ['81+3=84', '32+84=116'] Exploring Operation: 41+116=157, Resulting Numbers: [157] 157,84 unequal: No Solution Exploring Operation: 116-41=75, Resulting Numbers: [75] 75,84 unequal: No Solution Exploring Operation: 41*116=4756, Resulting Numbers: [4756] 4756,84 unequal: No Solution No solution found.
0
hs_5
mult_heuristic
[ 11, 10, 15, 55 ]
77
[ "11+10=21", "55*21=1155", "1155/15=77" ]
Current State: 77:[11, 10, 15, 55], Operations: [] Exploring Operation: 11+10=21, Resulting Numbers: [15, 55, 21] Generated Node #2: [15, 55, 21] from Operation: 11+10=21 Current State: 77:[15, 55, 21], Operations: ['11+10=21'] Exploring Operation: 55*21=1155, Resulting Numbers: [15, 1155] Generated Node #3: [15, 1155] from Operation: 55*21=1155 Current State: 77:[15, 1155], Operations: ['11+10=21', '55*21=1155'] Exploring Operation: 1155/15=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
4
Current State: 77:[11, 10, 15, 55], Operations: [] Exploring Operation: 55/11=5, Resulting Numbers: [10, 15, 5] Generated Node #0,0: 77:[10, 15, 5] Operation: 55/11=5 Exploring Operation: 11+55=66, Resulting Numbers: [10, 15, 66] Generated Node #0,1: 77:[10, 15, 66] Operation: 11+55=66 Exploring Operation: 15+55=70, Resulting Numbers: [11, 10, 70] Generated Node #0,2: 77:[11, 10, 70] Operation: 15+55=70 Exploring Operation: 10+55=65, Resulting Numbers: [11, 15, 65] Generated Node #0,3: 77:[11, 15, 65] Operation: 10+55=65 Moving to Node #0,0 Current State: 77:[10, 15, 5], Operations: ['55/11=5'] Exploring Operation: 15-10=5, Resulting Numbers: [5, 5] Generated Node #0,0,0: 77:[5, 5] Operation: 15-10=5 Exploring Operation: 15-5=10, Resulting Numbers: [10, 10] Generated Node #0,0,1: 77:[10, 10] Operation: 15-5=10 Exploring Operation: 15/5=3, Resulting Numbers: [10, 3] Generated Node #0,0,2: 77:[10, 3] Operation: 15/5=3 Exploring Operation: 15*5=75, Resulting Numbers: [10, 75] Generated Node #0,0,3: 77:[10, 75] Operation: 15*5=75 Moving to Node #0,2 Current State: 77:[11, 10, 70], Operations: ['15+55=70'] Exploring Operation: 10+70=80, Resulting Numbers: [11, 80] Generated Node #0,2,0: 77:[11, 80] Operation: 10+70=80 Exploring Operation: 70/10=7, Resulting Numbers: [11, 7] Generated Node #0,2,1: 77:[11, 7] Operation: 70/10=7 Exploring Operation: 11+70=81, Resulting Numbers: [10, 81] Generated Node #0,2,2: 77:[10, 81] Operation: 11+70=81 Exploring Operation: 11-10=1, Resulting Numbers: [70, 1] Generated Node #0,2,3: 77:[70, 1] Operation: 11-10=1 Moving to Node #0,3 Current State: 77:[11, 15, 65], Operations: ['10+55=65'] Exploring Operation: 11+15=26, Resulting Numbers: [65, 26] Generated Node #0,3,0: 77:[65, 26] Operation: 11+15=26 Exploring Operation: 11+65=76, Resulting Numbers: [15, 76] Generated Node #0,3,1: 77:[15, 76] Operation: 11+65=76 Exploring Operation: 15-11=4, Resulting Numbers: [65, 4] Generated Node #0,3,2: 77:[65, 4] Operation: 15-11=4 Exploring Operation: 15+65=80, Resulting Numbers: [11, 80] Generated Node #0,3,3: 77:[11, 80] Operation: 15+65=80 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 77:[11, 80], Operations: ['10+55=65', '15+65=80'] Exploring Operation: 11*80=880, Resulting Numbers: [880] 880,77 unequal: No Solution Exploring Operation: 11+80=91, Resulting Numbers: [91] 91,77 unequal: No Solution Exploring Operation: 80-11=69, Resulting Numbers: [69] 69,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 77:[15, 76], Operations: ['10+55=65', '11+65=76'] Exploring Operation: 15+76=91, Resulting Numbers: [91] 91,77 unequal: No Solution Exploring Operation: 76-15=61, Resulting Numbers: [61] 61,77 unequal: No Solution Exploring Operation: 15*76=1140, Resulting Numbers: [1140] 1140,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 77:[65, 4], Operations: ['10+55=65', '15-11=4'] Exploring Operation: 65*4=260, Resulting Numbers: [260] 260,77 unequal: No Solution Exploring Operation: 65+4=69, Resulting Numbers: [69] 69,77 unequal: No Solution Exploring Operation: 65-4=61, Resulting Numbers: [61] 61,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 77:[65, 26], Operations: ['10+55=65', '11+15=26'] Exploring Operation: 65*26=1690, Resulting Numbers: [1690] 1690,77 unequal: No Solution Exploring Operation: 65-26=39, Resulting Numbers: [39] 39,77 unequal: No Solution Exploring Operation: 65+26=91, Resulting Numbers: [91] 91,77 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 77:[10, 15, 66], Operations: ['11+55=66'] Exploring Operation: 15-10=5, Resulting Numbers: [66, 5] Generated Node #0,1,0: 77:[66, 5] Operation: 15-10=5 Exploring Operation: 10+66=76, Resulting Numbers: [15, 76] Generated Node #0,1,1: 77:[15, 76] Operation: 10+66=76 Exploring Operation: 10+15=25, Resulting Numbers: [66, 25] Generated Node #0,1,2: 77:[66, 25] Operation: 10+15=25 Exploring Operation: 15+66=81, Resulting Numbers: [10, 81] Generated Node #0,1,3: 77:[10, 81] Operation: 15+66=81 Moving to Node #0,2,1 Current State: 77:[11, 7], Operations: ['15+55=70', '70/10=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached Moving to Node #0 Current State: 77:[11, 10, 15, 55], Operations: [] Exploring Operation: 15+55=70, Resulting Numbers: [11, 10, 70] Generated Node #0,2: 77:[11, 10, 70] Operation: 15+55=70 Moving to Node #0,2 Current State: 77:[11, 10, 70], Operations: ['15+55=70'] Exploring Operation: 70/10=7, Resulting Numbers: [11, 7] Generated Node #0,2,1: 77:[11, 7] Operation: 70/10=7 Moving to Node #0,2,1 Current State: 77:[11, 7], Operations: ['15+55=70', '70/10=7'] Exploring Operation: 11*7=77, Resulting Numbers: [77] 77,77 equal: Goal Reached
0.967882
hs_4
mult_heuristic
[ 42, 74, 4, 68 ]
76
[ "74-42=32", "32/4=8", "68+8=76" ]
Current State: 76:[42, 74, 4, 68], Operations: [] Exploring Operation: 74-42=32, Resulting Numbers: [4, 68, 32] Generated Node #2: [4, 68, 32] from Operation: 74-42=32 Current State: 76:[4, 68, 32], Operations: ['74-42=32'] Exploring Operation: 32/4=8, Resulting Numbers: [68, 8] Generated Node #3: [68, 8] from Operation: 32/4=8 Current State: 76:[68, 8], Operations: ['74-42=32', '32/4=8'] Exploring Operation: 68+8=76, Resulting Numbers: [76] 76,76 equal: Goal Reached
4
Current State: 76:[42, 74, 4, 68], Operations: [] Exploring Operation: 68/4=17, Resulting Numbers: [42, 74, 17] Generated Node #0,0: 76:[42, 74, 17] Operation: 68/4=17 Exploring Operation: 68-42=26, Resulting Numbers: [74, 4, 26] Generated Node #0,1: 76:[74, 4, 26] Operation: 68-42=26 Exploring Operation: 74-68=6, Resulting Numbers: [42, 4, 6] Generated Node #0,2: 76:[42, 4, 6] Operation: 74-68=6 Start Sub Search at level 1: Moving to Node #0,2 Current State: 76:[42, 4, 6], Operations: ['74-68=6'] Exploring Operation: 42/6=7, Resulting Numbers: [4, 7] Generated Node #0,2,0: 76:[4, 7] Operation: 42/6=7 Exploring Operation: 42-4=38, Resulting Numbers: [6, 38] Generated Node #0,2,1: 76:[6, 38] Operation: 42-4=38 Exploring Operation: 42-6=36, Resulting Numbers: [4, 36] Generated Node #0,2,2: 76:[4, 36] Operation: 42-6=36 Moving to Node #0,2,1 Current State: 76:[6, 38], Operations: ['74-68=6', '42-4=38'] Exploring Operation: 6*38=228, Resulting Numbers: [228] 228,76 unequal: No Solution Exploring Operation: 6+38=44, Resulting Numbers: [44] 44,76 unequal: No Solution Exploring Operation: 38-6=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,2,2 Current State: 76:[4, 36], Operations: ['74-68=6', '42-6=36'] Exploring Operation: 36/4=9, Resulting Numbers: [9] 9,76 unequal: No Solution Exploring Operation: 4+36=40, Resulting Numbers: [40] 40,76 unequal: No Solution Exploring Operation: 36-4=32, Resulting Numbers: [32] 32,76 unequal: No Solution Moving to Node #0,2,0 Current State: 76:[4, 7], Operations: ['74-68=6', '42/6=7'] Exploring Operation: 7-4=3, Resulting Numbers: [3] 3,76 unequal: No Solution Exploring Operation: 4*7=28, Resulting Numbers: [28] 28,76 unequal: No Solution Exploring Operation: 4+7=11, Resulting Numbers: [11] 11,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 76:[42, 74, 17], Operations: ['68/4=17'] Exploring Operation: 42+17=59, Resulting Numbers: [74, 59] Generated Node #0,0,0: 76:[74, 59] Operation: 42+17=59 Exploring Operation: 42-17=25, Resulting Numbers: [74, 25] Generated Node #0,0,1: 76:[74, 25] Operation: 42-17=25 Exploring Operation: 74-42=32, Resulting Numbers: [17, 32] Generated Node #0,0,2: 76:[17, 32] Operation: 74-42=32 Moving to Node #0,0,1 Current State: 76:[74, 25], Operations: ['68/4=17', '42-17=25'] Exploring Operation: 74-25=49, Resulting Numbers: [49] 49,76 unequal: No Solution Exploring Operation: 74+25=99, Resulting Numbers: [99] 99,76 unequal: No Solution Exploring Operation: 74*25=1850, Resulting Numbers: [1850] 1850,76 unequal: No Solution Moving to Node #0,0,2 Current State: 76:[17, 32], Operations: ['68/4=17', '74-42=32'] Exploring Operation: 17*32=544, Resulting Numbers: [544] 544,76 unequal: No Solution Exploring Operation: 17+32=49, Resulting Numbers: [49] 49,76 unequal: No Solution Exploring Operation: 32-17=15, Resulting Numbers: [15] 15,76 unequal: No Solution Moving to Node #0,0,0 Current State: 76:[74, 59], Operations: ['68/4=17', '42+17=59'] Exploring Operation: 74*59=4366, Resulting Numbers: [4366] 4366,76 unequal: No Solution Exploring Operation: 74+59=133, Resulting Numbers: [133] 133,76 unequal: No Solution Exploring Operation: 74-59=15, Resulting Numbers: [15] 15,76 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 76:[74, 4, 26], Operations: ['68-42=26'] Exploring Operation: 26-4=22, Resulting Numbers: [74, 22] Generated Node #0,1,0: 76:[74, 22] Operation: 26-4=22 Exploring Operation: 74-26=48, Resulting Numbers: [4, 48] Generated Node #0,1,1: 76:[4, 48] Operation: 74-26=48 Exploring Operation: 74+4=78, Resulting Numbers: [26, 78] Generated Node #0,1,2: 76:[26, 78] Operation: 74+4=78 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 76:[74, 22], Operations: ['68-42=26', '26-4=22'] Exploring Operation: 74-22=52, Resulting Numbers: [52] 52,76 unequal: No Solution Exploring Operation: 74*22=1628, Resulting Numbers: [1628] 1628,76 unequal: No Solution Exploring Operation: 74+22=96, Resulting Numbers: [96] 96,76 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 76:[26, 78], Operations: ['68-42=26', '74+4=78'] Exploring Operation: 78-26=52, Resulting Numbers: [52] 52,76 unequal: No Solution Exploring Operation: 26+78=104, Resulting Numbers: [104] 104,76 unequal: No Solution Exploring Operation: 78/26=3, Resulting Numbers: [3] 3,76 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 76:[4, 48], Operations: ['68-42=26', '74-26=48'] Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,76 unequal: No Solution Exploring Operation: 4+48=52, Resulting Numbers: [52] 52,76 unequal: No Solution Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,76 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
sum_heuristic
[ 69, 47, 20, 2 ]
68
[ "69+47=116", "20+116=136", "136/2=68" ]
Current State: 68:[69, 47, 20, 2], Operations: [] Exploring Operation: 69+47=116, Resulting Numbers: [20, 2, 116] Generated Node #2: [20, 2, 116] from Operation: 69+47=116 Current State: 68:[20, 2, 116], Operations: ['69+47=116'] Exploring Operation: 20+116=136, Resulting Numbers: [2, 136] Generated Node #3: [2, 136] from Operation: 20+116=136 Current State: 68:[2, 136], Operations: ['69+47=116', '20+116=136'] Exploring Operation: 136/2=68, Resulting Numbers: [68] 68,68 equal: Goal Reached
4
Current State: 68:[69, 47, 20, 2], Operations: [] Exploring Operation: 47+20=67, Resulting Numbers: [69, 2, 67] Generated Node #0,0: 68:[69, 2, 67] Operation: 47+20=67 Exploring Operation: 69-47=22, Resulting Numbers: [20, 2, 22] Generated Node #0,1: 68:[20, 2, 22] Operation: 69-47=22 Start Sub Search at level 1: Moving to Node #0,0 Current State: 68:[69, 2, 67], Operations: ['47+20=67'] Exploring Operation: 69-2=67, Resulting Numbers: [67, 67] Generated Node #0,0,0: 68:[67, 67] Operation: 69-2=67 Exploring Operation: 69-67=2, Resulting Numbers: [2, 2] Generated Node #0,0,1: 68:[2, 2] Operation: 69-67=2 Moving to Node #0,0,1 Current State: 68:[2, 2], Operations: ['47+20=67', '69-67=2'] Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,68 unequal: No Solution Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,68 unequal: No Solution Moving to Node #0,0,0 Current State: 68:[67, 67], Operations: ['47+20=67', '69-2=67'] Exploring Operation: 67-67=0, Resulting Numbers: [0] 0,68 unequal: No Solution Exploring Operation: 67/67=1, Resulting Numbers: [1] 1,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 68:[20, 2, 22], Operations: ['69-47=22'] Exploring Operation: 22-20=2, Resulting Numbers: [2, 2] Generated Node #0,1,0: 68:[2, 2] Operation: 22-20=2 Exploring Operation: 20-2=18, Resulting Numbers: [22, 18] Generated Node #0,1,1: 68:[22, 18] Operation: 20-2=18 Moving to Node #0,1,0 Current State: 68:[2, 2], Operations: ['69-47=22', '22-20=2'] Exploring Operation: 2*2=4, Resulting Numbers: [4] 4,68 unequal: No Solution Exploring Operation: 2+2=4, Resulting Numbers: [4] 4,68 unequal: No Solution Moving to Node #0,1,1 Current State: 68:[22, 18], Operations: ['69-47=22', '20-2=18'] Exploring Operation: 22+18=40, Resulting Numbers: [40] 40,68 unequal: No Solution Exploring Operation: 22-18=4, Resulting Numbers: [4] 4,68 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 13, 69, 68, 41 ]
34
[ "13+69=82", "68*41=2788", "2788/82=34" ]
Current State: 34:[13, 69, 68, 41], Operations: [] Exploring Operation: 13+69=82, Resulting Numbers: [68, 41, 82] Generated Node #2: [68, 41, 82] from Operation: 13+69=82 Current State: 34:[68, 41, 82], Operations: ['13+69=82'] Exploring Operation: 68*41=2788, Resulting Numbers: [82, 2788] Generated Node #3: [82, 2788] from Operation: 68*41=2788 Current State: 34:[82, 2788], Operations: ['13+69=82', '68*41=2788'] Exploring Operation: 2788/82=34, Resulting Numbers: [34] 34,34 equal: Goal Reached
4
Current State: 34:[13, 69, 68, 41], Operations: [] Exploring Operation: 69-13=56, Resulting Numbers: [68, 41, 56] Generated Node #0,0: 34:[68, 41, 56] Operation: 69-13=56 Exploring Operation: 68-41=27, Resulting Numbers: [13, 69, 27] Generated Node #0,1: 34:[13, 69, 27] Operation: 68-41=27 Exploring Operation: 69-41=28, Resulting Numbers: [13, 68, 28] Generated Node #0,2: 34:[13, 68, 28] Operation: 69-41=28 Exploring Operation: 69-68=1, Resulting Numbers: [13, 41, 1] Generated Node #0,3: 34:[13, 41, 1] Operation: 69-68=1 Moving to Node #0,3 Current State: 34:[13, 41, 1], Operations: ['69-68=1'] Exploring Operation: 13*1=13, Resulting Numbers: [41, 13] Generated Node #0,3,0: 34:[41, 13] Operation: 13*1=13 Exploring Operation: 41-13=28, Resulting Numbers: [1, 28] Generated Node #0,3,1: 34:[1, 28] Operation: 41-13=28 Exploring Operation: 13+1=14, Resulting Numbers: [41, 14] Generated Node #0,3,2: 34:[41, 14] Operation: 13+1=14 Exploring Operation: 41-1=40, Resulting Numbers: [13, 40] Generated Node #0,3,3: 34:[13, 40] Operation: 41-1=40 Moving to Node #0,2 Current State: 34:[13, 68, 28], Operations: ['69-41=28'] Exploring Operation: 68-28=40, Resulting Numbers: [13, 40] Generated Node #0,2,0: 34:[13, 40] Operation: 68-28=40 Exploring Operation: 28-13=15, Resulting Numbers: [68, 15] Generated Node #0,2,1: 34:[68, 15] Operation: 28-13=15 Exploring Operation: 13+28=41, Resulting Numbers: [68, 41] Generated Node #0,2,2: 34:[68, 41] Operation: 13+28=41 Exploring Operation: 68-13=55, Resulting Numbers: [28, 55] Generated Node #0,2,3: 34:[28, 55] Operation: 68-13=55 Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 34:[13, 40], Operations: ['69-41=28', '68-28=40'] Exploring Operation: 13*40=520, Resulting Numbers: [520] 520,34 unequal: No Solution Exploring Operation: 13+40=53, Resulting Numbers: [53] 53,34 unequal: No Solution Exploring Operation: 40-13=27, Resulting Numbers: [27] 27,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 34:[28, 55], Operations: ['69-41=28', '68-13=55'] Exploring Operation: 28+55=83, Resulting Numbers: [83] 83,34 unequal: No Solution Exploring Operation: 28*55=1540, Resulting Numbers: [1540] 1540,34 unequal: No Solution Exploring Operation: 55-28=27, Resulting Numbers: [27] 27,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 34:[68, 15], Operations: ['69-41=28', '28-13=15'] Exploring Operation: 68+15=83, Resulting Numbers: [83] 83,34 unequal: No Solution Exploring Operation: 68-15=53, Resulting Numbers: [53] 53,34 unequal: No Solution Exploring Operation: 68*15=1020, Resulting Numbers: [1020] 1020,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 34:[68, 41], Operations: ['69-41=28', '13+28=41'] Exploring Operation: 68*41=2788, Resulting Numbers: [2788] 2788,34 unequal: No Solution Exploring Operation: 68+41=109, Resulting Numbers: [109] 109,34 unequal: No Solution Exploring Operation: 68-41=27, Resulting Numbers: [27] 27,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 34:[13, 69, 27], Operations: ['68-41=27'] Exploring Operation: 69-27=42, Resulting Numbers: [13, 42] Generated Node #0,1,0: 34:[13, 42] Operation: 69-27=42 Exploring Operation: 69-13=56, Resulting Numbers: [27, 56] Generated Node #0,1,1: 34:[27, 56] Operation: 69-13=56 Exploring Operation: 13+27=40, Resulting Numbers: [69, 40] Generated Node #0,1,2: 34:[69, 40] Operation: 13+27=40 Exploring Operation: 27-13=14, Resulting Numbers: [69, 14] Generated Node #0,1,3: 34:[69, 14] Operation: 27-13=14 Moving to Node #0,0 Current State: 34:[68, 41, 56], Operations: ['69-13=56'] Exploring Operation: 56-41=15, Resulting Numbers: [68, 15] Generated Node #0,0,0: 34:[68, 15] Operation: 56-41=15 Exploring Operation: 68-41=27, Resulting Numbers: [56, 27] Generated Node #0,0,1: 34:[56, 27] Operation: 68-41=27 Exploring Operation: 68+41=109, Resulting Numbers: [56, 109] Generated Node #0,0,2: 34:[56, 109] Operation: 68+41=109 Exploring Operation: 68-56=12, Resulting Numbers: [41, 12] Generated Node #0,0,3: 34:[41, 12] Operation: 68-56=12 Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 34:[41, 12], Operations: ['69-13=56', '68-56=12'] Exploring Operation: 41+12=53, Resulting Numbers: [53] 53,34 unequal: No Solution Exploring Operation: 41-12=29, Resulting Numbers: [29] 29,34 unequal: No Solution Exploring Operation: 41*12=492, Resulting Numbers: [492] 492,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 34:[56, 27], Operations: ['69-13=56', '68-41=27'] Exploring Operation: 56+27=83, Resulting Numbers: [83] 83,34 unequal: No Solution Exploring Operation: 56*27=1512, Resulting Numbers: [1512] 1512,34 unequal: No Solution Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 34:[68, 15], Operations: ['69-13=56', '56-41=15'] Exploring Operation: 68*15=1020, Resulting Numbers: [1020] 1020,34 unequal: No Solution Exploring Operation: 68+15=83, Resulting Numbers: [83] 83,34 unequal: No Solution Exploring Operation: 68-15=53, Resulting Numbers: [53] 53,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 34:[56, 109], Operations: ['69-13=56', '68+41=109'] Exploring Operation: 109-56=53, Resulting Numbers: [53] 53,34 unequal: No Solution Exploring Operation: 56*109=6104, Resulting Numbers: [6104] 6104,34 unequal: No Solution Exploring Operation: 56+109=165, Resulting Numbers: [165] 165,34 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,1 Current State: 34:[1, 28], Operations: ['69-68=1', '41-13=28'] Exploring Operation: 1+28=29, Resulting Numbers: [29] 29,34 unequal: No Solution Exploring Operation: 28-1=27, Resulting Numbers: [27] 27,34 unequal: No Solution Exploring Operation: 1*28=28, Resulting Numbers: [28] 28,34 unequal: No Solution Exploring Operation: 28/1=28, Resulting Numbers: [28] 28,34 unequal: No Solution Moving to Node #0,3,3 Current State: 34:[13, 40], Operations: ['69-68=1', '41-1=40'] Exploring Operation: 13+40=53, Resulting Numbers: [53] 53,34 unequal: No Solution Exploring Operation: 40-13=27, Resulting Numbers: [27] 27,34 unequal: No Solution Exploring Operation: 13*40=520, Resulting Numbers: [520] 520,34 unequal: No Solution Moving to Node #0,3,2 Current State: 34:[41, 14], Operations: ['69-68=1', '13+1=14'] Exploring Operation: 41+14=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 41*14=574, Resulting Numbers: [574] 574,34 unequal: No Solution Exploring Operation: 41-14=27, Resulting Numbers: [27] 27,34 unequal: No Solution Moving to Node #0,3,0 Current State: 34:[41, 13], Operations: ['69-68=1', '13*1=13'] Exploring Operation: 41+13=54, Resulting Numbers: [54] 54,34 unequal: No Solution Exploring Operation: 41-13=28, Resulting Numbers: [28] 28,34 unequal: No Solution Exploring Operation: 41*13=533, Resulting Numbers: [533] 533,34 unequal: No Solution Moving to Node #0,1,0 Current State: 34:[13, 42], Operations: ['68-41=27', '69-27=42'] Exploring Operation: 13*42=546, Resulting Numbers: [546] 546,34 unequal: No Solution Exploring Operation: 42-13=29, Resulting Numbers: [29] 29,34 unequal: No Solution Exploring Operation: 13+42=55, Resulting Numbers: [55] 55,34 unequal: No Solution Moving to Node #0,1,1 Current State: 34:[27, 56], Operations: ['68-41=27', '69-13=56'] Exploring Operation: 56-27=29, Resulting Numbers: [29] 29,34 unequal: No Solution Exploring Operation: 27+56=83, Resulting Numbers: [83] 83,34 unequal: No Solution Exploring Operation: 27*56=1512, Resulting Numbers: [1512] 1512,34 unequal: No Solution Moving to Node #0,1,3 Current State: 34:[69, 14], Operations: ['68-41=27', '27-13=14'] Exploring Operation: 69+14=83, Resulting Numbers: [83] 83,34 unequal: No Solution Exploring Operation: 69-14=55, Resulting Numbers: [55] 55,34 unequal: No Solution Exploring Operation: 69*14=966, Resulting Numbers: [966] 966,34 unequal: No Solution Moving to Node #0,1,2 Current State: 34:[69, 40], Operations: ['68-41=27', '13+27=40'] Exploring Operation: 69+40=109, Resulting Numbers: [109] 109,34 unequal: No Solution Exploring Operation: 69*40=2760, Resulting Numbers: [2760] 2760,34 unequal: No Solution Exploring Operation: 69-40=29, Resulting Numbers: [29] 29,34 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 42, 33, 31, 40 ]
22
[ "33-31=2", "40/2=20", "42-20=22" ]
Current State: 22:[42, 33, 31, 40], Operations: [] Exploring Operation: 33-31=2, Resulting Numbers: [42, 40, 2] Generated Node #2: [42, 40, 2] from Operation: 33-31=2 Current State: 22:[42, 40, 2], Operations: ['33-31=2'] Exploring Operation: 40/2=20, Resulting Numbers: [42, 20] Generated Node #3: [42, 20] from Operation: 40/2=20 Current State: 22:[42, 20], Operations: ['33-31=2', '40/2=20'] Exploring Operation: 42-20=22, Resulting Numbers: [22] 22,22 equal: Goal Reached
4
Current State: 22:[42, 33, 31, 40], Operations: [] Exploring Operation: 42-40=2, Resulting Numbers: [33, 31, 2] Generated Node #0,0: 22:[33, 31, 2] Operation: 42-40=2 Moving to Node #0,0 Current State: 22:[33, 31, 2], Operations: ['42-40=2'] Exploring Operation: 33-31=2, Resulting Numbers: [2, 2] Generated Node #0,0,0: 22:[2, 2] Operation: 33-31=2 Moving to Node #0,0,0 Current State: 22:[2, 2], Operations: ['42-40=2', '33-31=2'] Exploring Operation: 2/2=1, Resulting Numbers: [1] 1,22 unequal: No Solution No solution found.
0
hs_1
mult_heuristic
[ 20, 46, 62, 8 ]
52
[ "20*8=160", "46+62=108", "160-108=52" ]
Current State: 52:[20, 46, 62, 8], Operations: [] Exploring Operation: 20*8=160, Resulting Numbers: [46, 62, 160] Generated Node #2: [46, 62, 160] from Operation: 20*8=160 Current State: 52:[46, 62, 160], Operations: ['20*8=160'] Exploring Operation: 46+62=108, Resulting Numbers: [160, 108] Generated Node #3: [160, 108] from Operation: 46+62=108 Current State: 52:[160, 108], Operations: ['20*8=160', '46+62=108'] Exploring Operation: 160-108=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[20, 46, 62, 8], Operations: [] Exploring Operation: 46-20=26, Resulting Numbers: [62, 8, 26] Generated Node #0,0: 52:[62, 8, 26] Operation: 46-20=26 Exploring Operation: 20-8=12, Resulting Numbers: [46, 62, 12] Generated Node #0,1: 52:[46, 62, 12] Operation: 20-8=12 Exploring Operation: 62-46=16, Resulting Numbers: [20, 8, 16] Generated Node #0,2: 52:[20, 8, 16] Operation: 62-46=16 Exploring Operation: 20+8=28, Resulting Numbers: [46, 62, 28] Generated Node #0,3: 52:[46, 62, 28] Operation: 20+8=28 Exploring Operation: 62-8=54, Resulting Numbers: [20, 46, 54] Generated Node #0,4: 52:[20, 46, 54] Operation: 62-8=54 Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[20, 8, 16], Operations: ['62-46=16'] Exploring Operation: 16/8=2, Resulting Numbers: [20, 2] Generated Node #0,2,0: 52:[20, 2] Operation: 16/8=2 Exploring Operation: 8+16=24, Resulting Numbers: [20, 24] Generated Node #0,2,1: 52:[20, 24] Operation: 8+16=24 Exploring Operation: 20-8=12, Resulting Numbers: [16, 12] Generated Node #0,2,2: 52:[16, 12] Operation: 20-8=12 Exploring Operation: 20+8=28, Resulting Numbers: [16, 28] Generated Node #0,2,3: 52:[16, 28] Operation: 20+8=28 Exploring Operation: 20-16=4, Resulting Numbers: [8, 4] Generated Node #0,2,4: 52:[8, 4] Operation: 20-16=4 Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 52:[16, 12], Operations: ['62-46=16', '20-8=12'] Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 16+12=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 16*12=192, Resulting Numbers: [192] 192,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 52:[8, 4], Operations: ['62-46=16', '20-16=4'] Exploring Operation: 8-4=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 8+4=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 8/4=2, Resulting Numbers: [2] 2,52 unequal: No Solution Exploring Operation: 8*4=32, Resulting Numbers: [32] 32,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 52:[16, 28], Operations: ['62-46=16', '20+8=28'] Exploring Operation: 16*28=448, Resulting Numbers: [448] 448,52 unequal: No Solution Exploring Operation: 16+28=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 28-16=12, Resulting Numbers: [12] 12,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 52:[20, 2], Operations: ['62-46=16', '16/8=2'] Exploring Operation: 20*2=40, Resulting Numbers: [40] 40,52 unequal: No Solution Exploring Operation: 20/2=10, Resulting Numbers: [10] 10,52 unequal: No Solution Exploring Operation: 20+2=22, Resulting Numbers: [22] 22,52 unequal: No Solution Exploring Operation: 20-2=18, Resulting Numbers: [18] 18,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 52:[20, 24], Operations: ['62-46=16', '8+16=24'] Exploring Operation: 20*24=480, Resulting Numbers: [480] 480,52 unequal: No Solution Exploring Operation: 20+24=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 24-20=4, Resulting Numbers: [4] 4,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[62, 8, 26], Operations: ['46-20=26'] Exploring Operation: 26-8=18, Resulting Numbers: [62, 18] Generated Node #0,0,0: 52:[62, 18] Operation: 26-8=18 Exploring Operation: 62+8=70, Resulting Numbers: [26, 70] Generated Node #0,0,1: 52:[26, 70] Operation: 62+8=70 Exploring Operation: 62-8=54, Resulting Numbers: [26, 54] Generated Node #0,0,2: 52:[26, 54] Operation: 62-8=54 Exploring Operation: 62-26=36, Resulting Numbers: [8, 36] Generated Node #0,0,3: 52:[8, 36] Operation: 62-26=36 Exploring Operation: 8+26=34, Resulting Numbers: [62, 34] Generated Node #0,0,4: 52:[62, 34] Operation: 8+26=34 Moving to Node #0,0,2 Current State: 52:[26, 54], Operations: ['46-20=26', '62-8=54'] Exploring Operation: 26*54=1404, Resulting Numbers: [1404] 1404,52 unequal: No Solution Exploring Operation: 26+54=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 54-26=28, Resulting Numbers: [28] 28,52 unequal: No Solution Moving to Node #0,0,3 Current State: 52:[8, 36], Operations: ['46-20=26', '62-26=36'] Exploring Operation: 8*36=288, Resulting Numbers: [288] 288,52 unequal: No Solution Exploring Operation: 8+36=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 36-8=28, Resulting Numbers: [28] 28,52 unequal: No Solution Moving to Node #0,0,0 Current State: 52:[62, 18], Operations: ['46-20=26', '26-8=18'] Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 62*18=1116, Resulting Numbers: [1116] 1116,52 unequal: No Solution Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,52 unequal: No Solution Moving to Node #0,0,1 Current State: 52:[26, 70], Operations: ['46-20=26', '62+8=70'] Exploring Operation: 70-26=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 26*70=1820, Resulting Numbers: [1820] 1820,52 unequal: No Solution Exploring Operation: 26+70=96, Resulting Numbers: [96] 96,52 unequal: No Solution Moving to Node #0,0,4 Current State: 52:[62, 34], Operations: ['46-20=26', '8+26=34'] Exploring Operation: 62+34=96, Resulting Numbers: [96] 96,52 unequal: No Solution Exploring Operation: 62*34=2108, Resulting Numbers: [2108] 2108,52 unequal: No Solution Exploring Operation: 62-34=28, Resulting Numbers: [28] 28,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 52:[20, 46, 54], Operations: ['62-8=54'] Exploring Operation: 20+54=74, Resulting Numbers: [46, 74] Generated Node #0,4,0: 52:[46, 74] Operation: 20+54=74 Exploring Operation: 20+46=66, Resulting Numbers: [54, 66] Generated Node #0,4,1: 52:[54, 66] Operation: 20+46=66 Exploring Operation: 54-20=34, Resulting Numbers: [46, 34] Generated Node #0,4,2: 52:[46, 34] Operation: 54-20=34 Exploring Operation: 46-20=26, Resulting Numbers: [54, 26] Generated Node #0,4,3: 52:[54, 26] Operation: 46-20=26 Exploring Operation: 54-46=8, Resulting Numbers: [20, 8] Generated Node #0,4,4: 52:[20, 8] Operation: 54-46=8 Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 52:[54, 26], Operations: ['62-8=54', '46-20=26'] Exploring Operation: 54+26=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 54-26=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 54*26=1404, Resulting Numbers: [1404] 1404,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 52:[20, 8], Operations: ['62-8=54', '54-46=8'] Exploring Operation: 20*8=160, Resulting Numbers: [160] 160,52 unequal: No Solution Exploring Operation: 20+8=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 20-8=12, Resulting Numbers: [12] 12,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 52:[46, 34], Operations: ['62-8=54', '54-20=34'] Exploring Operation: 46*34=1564, Resulting Numbers: [1564] 1564,52 unequal: No Solution Exploring Operation: 46-34=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 46+34=80, Resulting Numbers: [80] 80,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 52:[54, 66], Operations: ['62-8=54', '20+46=66'] Exploring Operation: 66-54=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 54*66=3564, Resulting Numbers: [3564] 3564,52 unequal: No Solution Exploring Operation: 54+66=120, Resulting Numbers: [120] 120,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 52:[46, 74], Operations: ['62-8=54', '20+54=74'] Exploring Operation: 46*74=3404, Resulting Numbers: [3404] 3404,52 unequal: No Solution Exploring Operation: 74-46=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 46+74=120, Resulting Numbers: [120] 120,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 52:[46, 62, 12], Operations: ['20-8=12'] Exploring Operation: 46+12=58, Resulting Numbers: [62, 58] Generated Node #0,1,0: 52:[62, 58] Operation: 46+12=58 Exploring Operation: 62-12=50, Resulting Numbers: [46, 50] Generated Node #0,1,1: 52:[46, 50] Operation: 62-12=50 Exploring Operation: 46-12=34, Resulting Numbers: [62, 34] Generated Node #0,1,2: 52:[62, 34] Operation: 46-12=34 Exploring Operation: 62+12=74, Resulting Numbers: [46, 74] Generated Node #0,1,3: 52:[46, 74] Operation: 62+12=74 Exploring Operation: 62-46=16, Resulting Numbers: [12, 16] Generated Node #0,1,4: 52:[12, 16] Operation: 62-46=16 Moving to Node #0,1,4 Current State: 52:[12, 16], Operations: ['20-8=12', '62-46=16'] Exploring Operation: 12*16=192, Resulting Numbers: [192] 192,52 unequal: No Solution Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,52 unequal: No Solution Moving to Node #0,1,1 Current State: 52:[46, 50], Operations: ['20-8=12', '62-12=50'] Exploring Operation: 46+50=96, Resulting Numbers: [96] 96,52 unequal: No Solution Exploring Operation: 50-46=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 46*50=2300, Resulting Numbers: [2300] 2300,52 unequal: No Solution Moving to Node #0,1,0 Current State: 52:[62, 58], Operations: ['20-8=12', '46+12=58'] Exploring Operation: 62*58=3596, Resulting Numbers: [3596] 3596,52 unequal: No Solution Exploring Operation: 62-58=4, Resulting Numbers: [4] 4,52 unequal: No Solution Exploring Operation: 62+58=120, Resulting Numbers: [120] 120,52 unequal: No Solution Moving to Node #0,1,2 Current State: 52:[62, 34], Operations: ['20-8=12', '46-12=34'] Exploring Operation: 62*34=2108, Resulting Numbers: [2108] 2108,52 unequal: No Solution Exploring Operation: 62+34=96, Resulting Numbers: [96] 96,52 unequal: No Solution Exploring Operation: 62-34=28, Resulting Numbers: [28] 28,52 unequal: No Solution Moving to Node #0,1,3 Current State: 52:[46, 74], Operations: ['20-8=12', '62+12=74'] Exploring Operation: 74-46=28, Resulting Numbers: [28] 28,52 unequal: No Solution Exploring Operation: 46+74=120, Resulting Numbers: [120] 120,52 unequal: No Solution Exploring Operation: 46*74=3404, Resulting Numbers: [3404] 3404,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 52:[46, 62, 28], Operations: ['20+8=28'] Exploring Operation: 46+28=74, Resulting Numbers: [62, 74] Generated Node #0,3,0: 52:[62, 74] Operation: 46+28=74 Exploring Operation: 62-28=34, Resulting Numbers: [46, 34] Generated Node #0,3,1: 52:[46, 34] Operation: 62-28=34 Exploring Operation: 46-28=18, Resulting Numbers: [62, 18] Generated Node #0,3,2: 52:[62, 18] Operation: 46-28=18 Exploring Operation: 62+28=90, Resulting Numbers: [46, 90] Generated Node #0,3,3: 52:[46, 90] Operation: 62+28=90 Exploring Operation: 62-46=16, Resulting Numbers: [28, 16] Generated Node #0,3,4: 52:[28, 16] Operation: 62-46=16 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 52:[28, 16], Operations: ['20+8=28', '62-46=16'] Exploring Operation: 28*16=448, Resulting Numbers: [448] 448,52 unequal: No Solution Exploring Operation: 28+16=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 28-16=12, Resulting Numbers: [12] 12,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 52:[46, 34], Operations: ['20+8=28', '62-28=34'] Exploring Operation: 46*34=1564, Resulting Numbers: [1564] 1564,52 unequal: No Solution Exploring Operation: 46-34=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 46+34=80, Resulting Numbers: [80] 80,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 52:[62, 18], Operations: ['20+8=28', '46-28=18'] Exploring Operation: 62+18=80, Resulting Numbers: [80] 80,52 unequal: No Solution Exploring Operation: 62-18=44, Resulting Numbers: [44] 44,52 unequal: No Solution Exploring Operation: 62*18=1116, Resulting Numbers: [1116] 1116,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 52:[62, 74], Operations: ['20+8=28', '46+28=74'] Exploring Operation: 62*74=4588, Resulting Numbers: [4588] 4588,52 unequal: No Solution Exploring Operation: 74-62=12, Resulting Numbers: [12] 12,52 unequal: No Solution Exploring Operation: 62+74=136, Resulting Numbers: [136] 136,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 52:[46, 90], Operations: ['20+8=28', '62+28=90'] Exploring Operation: 46+90=136, Resulting Numbers: [136] 136,52 unequal: No Solution Exploring Operation: 46*90=4140, Resulting Numbers: [4140] 4140,52 unequal: No Solution Exploring Operation: 90-46=44, Resulting Numbers: [44] 44,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 79, 81, 1, 39 ]
39
[ "81-79=2", "2-1=1", "39*1=39" ]
Current State: 39:[79, 81, 1, 39], Operations: [] Exploring Operation: 81-79=2, Resulting Numbers: [1, 39, 2] Generated Node #2: [1, 39, 2] from Operation: 81-79=2 Current State: 39:[1, 39, 2], Operations: ['81-79=2'] Exploring Operation: 2-1=1, Resulting Numbers: [39, 1] Generated Node #3: [39, 1] from Operation: 2-1=1 Current State: 39:[39, 1], Operations: ['81-79=2', '2-1=1'] Exploring Operation: 39*1=39, Resulting Numbers: [39] 39,39 equal: Goal Reached
4
Current State: 39:[79, 81, 1, 39], Operations: [] Exploring Operation: 79-39=40, Resulting Numbers: [81, 1, 40] Generated Node #0,0: 39:[81, 1, 40] Operation: 79-39=40 Exploring Operation: 81-79=2, Resulting Numbers: [1, 39, 2] Generated Node #0,1: 39:[1, 39, 2] Operation: 81-79=2 Moving to Node #0,1 Current State: 39:[1, 39, 2], Operations: ['81-79=2'] Exploring Operation: 1+2=3, Resulting Numbers: [39, 3] Generated Node #0,1,0: 39:[39, 3] Operation: 1+2=3 Exploring Operation: 1*39=39, Resulting Numbers: [2, 39] Generated Node #0,1,1: 39:[2, 39] Operation: 1*39=39 Moving to Node #0,0 Current State: 39:[81, 1, 40], Operations: ['79-39=40'] Exploring Operation: 81-40=41, Resulting Numbers: [1, 41] Generated Node #0,0,0: 39:[1, 41] Operation: 81-40=41 Exploring Operation: 81-1=80, Resulting Numbers: [40, 80] Generated Node #0,0,1: 39:[40, 80] Operation: 81-1=80 Moving to Node #0,1,0 Current State: 39:[39, 3], Operations: ['81-79=2', '1+2=3'] Exploring Operation: 39/3=13, Resulting Numbers: [13] 13,39 unequal: No Solution Exploring Operation: 39+3=42, Resulting Numbers: [42] 42,39 unequal: No Solution Moving to Node #0,1,1 Current State: 39:[2, 39], Operations: ['81-79=2', '1*39=39'] Exploring Operation: 39-2=37, Resulting Numbers: [37] 37,39 unequal: No Solution Exploring Operation: 2+39=41, Resulting Numbers: [41] 41,39 unequal: No Solution Moving to Node #0,0,0 Current State: 39:[1, 41], Operations: ['79-39=40', '81-40=41'] Exploring Operation: 1*41=41, Resulting Numbers: [41] 41,39 unequal: No Solution Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,39 unequal: No Solution Moving to Node #0,0,1 Current State: 39:[40, 80], Operations: ['79-39=40', '81-1=80'] Exploring Operation: 80/40=2, Resulting Numbers: [2] 2,39 unequal: No Solution Exploring Operation: 80-40=40, Resulting Numbers: [40] 40,39 unequal: No Solution No solution found.
0
hs_2
mult_heuristic
[ 97, 23, 74, 33 ]
79
[ "97+23=120", "74-33=41", "120-41=79" ]
Current State: 79:[97, 23, 74, 33], Operations: [] Exploring Operation: 97+23=120, Resulting Numbers: [74, 33, 120] Generated Node #2: [74, 33, 120] from Operation: 97+23=120 Current State: 79:[74, 33, 120], Operations: ['97+23=120'] Exploring Operation: 74-33=41, Resulting Numbers: [120, 41] Generated Node #3: [120, 41] from Operation: 74-33=41 Current State: 79:[120, 41], Operations: ['97+23=120', '74-33=41'] Exploring Operation: 120-41=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[97, 23, 74, 33], Operations: [] Exploring Operation: 23+33=56, Resulting Numbers: [97, 74, 56] Generated Node #0,0: 79:[97, 74, 56] Operation: 23+33=56 Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[97, 74, 56], Operations: ['23+33=56'] Exploring Operation: 97-56=41, Resulting Numbers: [74, 41] Generated Node #0,0,0: 79:[74, 41] Operation: 97-56=41 Moving to Node #0,0,0 Current State: 79:[74, 41], Operations: ['23+33=56', '97-56=41'] Exploring Operation: 74+41=115, Resulting Numbers: [115] 115,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 38, 54, 39, 3 ]
52
[ "54-38=16", "39-3=36", "16+36=52" ]
Current State: 52:[38, 54, 39, 3], Operations: [] Exploring Operation: 54-38=16, Resulting Numbers: [39, 3, 16] Generated Node #2: [39, 3, 16] from Operation: 54-38=16 Current State: 52:[39, 3, 16], Operations: ['54-38=16'] Exploring Operation: 39-3=36, Resulting Numbers: [16, 36] Generated Node #3: [16, 36] from Operation: 39-3=36 Current State: 52:[16, 36], Operations: ['54-38=16', '39-3=36'] Exploring Operation: 16+36=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[38, 54, 39, 3], Operations: [] Exploring Operation: 54-39=15, Resulting Numbers: [38, 3, 15] Generated Node #0,0: 52:[38, 3, 15] Operation: 54-39=15 Exploring Operation: 39/3=13, Resulting Numbers: [38, 54, 13] Generated Node #0,1: 52:[38, 54, 13] Operation: 39/3=13 Exploring Operation: 39-38=1, Resulting Numbers: [54, 3, 1] Generated Node #0,2: 52:[54, 3, 1] Operation: 39-38=1 Exploring Operation: 54-38=16, Resulting Numbers: [39, 3, 16] Generated Node #0,3: 52:[39, 3, 16] Operation: 54-38=16 Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[54, 3, 1], Operations: ['39-38=1'] Exploring Operation: 3-1=2, Resulting Numbers: [54, 2] Generated Node #0,2,0: 52:[54, 2] Operation: 3-1=2 Exploring Operation: 3+1=4, Resulting Numbers: [54, 4] Generated Node #0,2,1: 52:[54, 4] Operation: 3+1=4 Exploring Operation: 54-3=51, Resulting Numbers: [1, 51] Generated Node #0,2,2: 52:[1, 51] Operation: 54-3=51 Exploring Operation: 54-1=53, Resulting Numbers: [3, 53] Generated Node #0,2,3: 52:[3, 53] Operation: 54-1=53 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 52:[54, 2], Operations: ['39-38=1', '3-1=2'] Exploring Operation: 54+2=56, Resulting Numbers: [56] 56,52 unequal: No Solution Exploring Operation: 54/2=27, Resulting Numbers: [27] 27,52 unequal: No Solution Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[38, 54, 39, 3], Operations: [] Exploring Operation: 39-38=1, Resulting Numbers: [54, 3, 1] Generated Node #0,2: 52:[54, 3, 1] Operation: 39-38=1 Moving to Node #0,2 Current State: 52:[54, 3, 1], Operations: ['39-38=1'] Exploring Operation: 3-1=2, Resulting Numbers: [54, 2] Generated Node #0,2,0: 52:[54, 2] Operation: 3-1=2 Moving to Node #0,2,0 Current State: 52:[54, 2], Operations: ['39-38=1', '3-1=2'] Exploring Operation: 54-2=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_4
mult_heuristic
[ 17, 67, 2, 81 ]
18
[ "17+81=98", "98/2=49", "67-49=18" ]
Current State: 18:[17, 67, 2, 81], Operations: [] Exploring Operation: 17+81=98, Resulting Numbers: [67, 2, 98] Generated Node #2: [67, 2, 98] from Operation: 17+81=98 Current State: 18:[67, 2, 98], Operations: ['17+81=98'] Exploring Operation: 98/2=49, Resulting Numbers: [67, 49] Generated Node #3: [67, 49] from Operation: 98/2=49 Current State: 18:[67, 49], Operations: ['17+81=98', '98/2=49'] Exploring Operation: 67-49=18, Resulting Numbers: [18] 18,18 equal: Goal Reached
4
Current State: 18:[17, 67, 2, 81], Operations: [] Exploring Operation: 81-67=14, Resulting Numbers: [17, 2, 14] Generated Node #0,0: 18:[17, 2, 14] Operation: 81-67=14 Start Sub Search at level 1: Moving to Node #0,0 Current State: 18:[17, 2, 14], Operations: ['81-67=14'] Exploring Operation: 17-14=3, Resulting Numbers: [2, 3] Generated Node #0,0,0: 18:[2, 3] Operation: 17-14=3 Moving to Node #0,0,0 Current State: 18:[2, 3], Operations: ['81-67=14', '17-14=3'] Exploring Operation: 2*3=6, Resulting Numbers: [6] 6,18 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 78, 3, 82, 28 ]
100
[ "82-78=4", "28-3=25", "4*25=100" ]
Current State: 100:[78, 3, 82, 28], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [3, 28, 4] Generated Node #2: [3, 28, 4] from Operation: 82-78=4 Current State: 100:[3, 28, 4], Operations: ['82-78=4'] Exploring Operation: 28-3=25, Resulting Numbers: [4, 25] Generated Node #3: [4, 25] from Operation: 28-3=25 Current State: 100:[4, 25], Operations: ['82-78=4', '28-3=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[78, 3, 82, 28], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [3, 28, 4] Generated Node #0,0: 100:[3, 28, 4] Operation: 82-78=4 Moving to Node #0,0 Current State: 100:[3, 28, 4], Operations: ['82-78=4'] Exploring Operation: 28-3=25, Resulting Numbers: [4, 25] Generated Node #0,0,0: 100:[4, 25] Operation: 28-3=25 Moving to Node #0,0,0 Current State: 100:[4, 25], Operations: ['82-78=4', '28-3=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached Moving to Node #0 Current State: 100:[78, 3, 82, 28], Operations: [] Exploring Operation: 82-78=4, Resulting Numbers: [3, 28, 4] Generated Node #0,0: 100:[3, 28, 4] Operation: 82-78=4 Moving to Node #0,0 Current State: 100:[3, 28, 4], Operations: ['82-78=4'] Exploring Operation: 28-3=25, Resulting Numbers: [4, 25] Generated Node #0,0,0: 100:[4, 25] Operation: 28-3=25 Moving to Node #0,0,0 Current State: 100:[4, 25], Operations: ['82-78=4', '28-3=25'] Exploring Operation: 4*25=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
0.993924
hs_1
sum_heuristic
[ 50, 62, 4, 27 ]
89
[ "50+62=112", "27-4=23", "112-23=89" ]
Current State: 89:[50, 62, 4, 27], Operations: [] Exploring Operation: 50+62=112, Resulting Numbers: [4, 27, 112] Generated Node #2: [4, 27, 112] from Operation: 50+62=112 Current State: 89:[4, 27, 112], Operations: ['50+62=112'] Exploring Operation: 27-4=23, Resulting Numbers: [112, 23] Generated Node #3: [112, 23] from Operation: 27-4=23 Current State: 89:[112, 23], Operations: ['50+62=112', '27-4=23'] Exploring Operation: 112-23=89, Resulting Numbers: [89] 89,89 equal: Goal Reached
4
Current State: 89:[50, 62, 4, 27], Operations: [] Exploring Operation: 4*27=108, Resulting Numbers: [50, 62, 108] Generated Node #0,0: 89:[50, 62, 108] Operation: 4*27=108 Exploring Operation: 50+4=54, Resulting Numbers: [62, 27, 54] Generated Node #0,1: 89:[62, 27, 54] Operation: 50+4=54 Moving to Node #0,0 Current State: 89:[50, 62, 108], Operations: ['4*27=108'] Exploring Operation: 108-50=58, Resulting Numbers: [62, 58] Generated Node #0,0,0: 89:[62, 58] Operation: 108-50=58 Exploring Operation: 50+62=112, Resulting Numbers: [108, 112] Generated Node #0,0,1: 89:[108, 112] Operation: 50+62=112 Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 89:[108, 112], Operations: ['4*27=108', '50+62=112'] Exploring Operation: 108+112=220, Resulting Numbers: [220] 220,89 unequal: No Solution Exploring Operation: 112-108=4, Resulting Numbers: [4] 4,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 89:[62, 58], Operations: ['4*27=108', '108-50=58'] Exploring Operation: 62+58=120, Resulting Numbers: [120] 120,89 unequal: No Solution Exploring Operation: 62-58=4, Resulting Numbers: [4] 4,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 89:[62, 27, 54], Operations: ['50+4=54'] Exploring Operation: 62+27=89, Resulting Numbers: [54, 89] Generated Node #0,1,0: 89:[54, 89] Operation: 62+27=89 Exploring Operation: 27+54=81, Resulting Numbers: [62, 81] Generated Node #0,1,1: 89:[62, 81] Operation: 27+54=81 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 89:[54, 89], Operations: ['50+4=54', '62+27=89'] Exploring Operation: 54+89=143, Resulting Numbers: [143] 143,89 unequal: No Solution Exploring Operation: 89-54=35, Resulting Numbers: [35] 35,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 89:[62, 81], Operations: ['50+4=54', '27+54=81'] Exploring Operation: 62+81=143, Resulting Numbers: [143] 143,89 unequal: No Solution Exploring Operation: 81-62=19, Resulting Numbers: [19] 19,89 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 72, 9, 56, 61 ]
86
[ "72+9=81", "61-56=5", "81+5=86" ]
Current State: 86:[72, 9, 56, 61], Operations: [] Exploring Operation: 72+9=81, Resulting Numbers: [56, 61, 81] Generated Node #2: [56, 61, 81] from Operation: 72+9=81 Current State: 86:[56, 61, 81], Operations: ['72+9=81'] Exploring Operation: 61-56=5, Resulting Numbers: [81, 5] Generated Node #3: [81, 5] from Operation: 61-56=5 Current State: 86:[81, 5], Operations: ['72+9=81', '61-56=5'] Exploring Operation: 81+5=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[72, 9, 56, 61], Operations: [] Exploring Operation: 56-9=47, Resulting Numbers: [72, 61, 47] Generated Node #0,0: 86:[72, 61, 47] Operation: 56-9=47 Exploring Operation: 61-56=5, Resulting Numbers: [72, 9, 5] Generated Node #0,1: 86:[72, 9, 5] Operation: 61-56=5 Exploring Operation: 72+9=81, Resulting Numbers: [56, 61, 81] Generated Node #0,2: 86:[56, 61, 81] Operation: 72+9=81 Exploring Operation: 72-61=11, Resulting Numbers: [9, 56, 11] Generated Node #0,3: 86:[9, 56, 11] Operation: 72-61=11 Start Sub Search at level 1: Moving to Node #0,1 Current State: 86:[72, 9, 5], Operations: ['61-56=5'] Exploring Operation: 9*5=45, Resulting Numbers: [72, 45] Generated Node #0,1,0: 86:[72, 45] Operation: 9*5=45 Exploring Operation: 72/9=8, Resulting Numbers: [5, 8] Generated Node #0,1,1: 86:[5, 8] Operation: 72/9=8 Exploring Operation: 72+5=77, Resulting Numbers: [9, 77] Generated Node #0,1,2: 86:[9, 77] Operation: 72+5=77 Exploring Operation: 72+9=81, Resulting Numbers: [5, 81] Generated Node #0,1,3: 86:[5, 81] Operation: 72+9=81 Moving to Node #0,1,3 Current State: 86:[5, 81], Operations: ['61-56=5', '72+9=81'] Exploring Operation: 81-5=76, Resulting Numbers: [76] 76,86 unequal: No Solution Exploring Operation: 5+81=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[72, 9, 56, 61], Operations: [] Exploring Operation: 61-56=5, Resulting Numbers: [72, 9, 5] Generated Node #0,1: 86:[72, 9, 5] Operation: 61-56=5 Moving to Node #0,1 Current State: 86:[72, 9, 5], Operations: ['61-56=5'] Exploring Operation: 72+9=81, Resulting Numbers: [5, 81] Generated Node #0,1,3: 86:[5, 81] Operation: 72+9=81 Moving to Node #0,1,3 Current State: 86:[5, 81], Operations: ['61-56=5', '72+9=81'] Exploring Operation: 5+81=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Exit Sub Search at level 1
0.987847
hs_4
mult_heuristic
[ 10, 19, 53, 49 ]
59
[ "53-49=4", "10*4=40", "19+40=59" ]
Current State: 59:[10, 19, 53, 49], Operations: [] Exploring Operation: 53-49=4, Resulting Numbers: [10, 19, 4] Generated Node #2: [10, 19, 4] from Operation: 53-49=4 Current State: 59:[10, 19, 4], Operations: ['53-49=4'] Exploring Operation: 10*4=40, Resulting Numbers: [19, 40] Generated Node #3: [19, 40] from Operation: 10*4=40 Current State: 59:[19, 40], Operations: ['53-49=4', '10*4=40'] Exploring Operation: 19+40=59, Resulting Numbers: [59] 59,59 equal: Goal Reached
4
Current State: 59:[10, 19, 53, 49], Operations: [] Exploring Operation: 10+49=59, Resulting Numbers: [19, 53, 59] Generated Node #0,0: 59:[19, 53, 59] Operation: 10+49=59 Exploring Operation: 10+19=29, Resulting Numbers: [53, 49, 29] Generated Node #0,1: 59:[53, 49, 29] Operation: 10+19=29 Exploring Operation: 10+53=63, Resulting Numbers: [19, 49, 63] Generated Node #0,2: 59:[19, 49, 63] Operation: 10+53=63 Exploring Operation: 19-10=9, Resulting Numbers: [53, 49, 9] Generated Node #0,3: 59:[53, 49, 9] Operation: 19-10=9 Exploring Operation: 19+49=68, Resulting Numbers: [10, 53, 68] Generated Node #0,4: 59:[10, 53, 68] Operation: 19+49=68 Start Sub Search at level 1: Moving to Node #0,0 Current State: 59:[19, 53, 59], Operations: ['10+49=59'] Exploring Operation: 53+59=112, Resulting Numbers: [19, 112] Generated Node #0,0,0: 59:[19, 112] Operation: 53+59=112 Exploring Operation: 59-19=40, Resulting Numbers: [53, 40] Generated Node #0,0,1: 59:[53, 40] Operation: 59-19=40 Exploring Operation: 19+59=78, Resulting Numbers: [53, 78] Generated Node #0,0,2: 59:[53, 78] Operation: 19+59=78 Exploring Operation: 19+53=72, Resulting Numbers: [59, 72] Generated Node #0,0,3: 59:[59, 72] Operation: 19+53=72 Exploring Operation: 53-19=34, Resulting Numbers: [59, 34] Generated Node #0,0,4: 59:[59, 34] Operation: 53-19=34 Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 59:[59, 72], Operations: ['10+49=59', '19+53=72'] Exploring Operation: 59*72=4248, Resulting Numbers: [4248] 4248,59 unequal: No Solution Exploring Operation: 72-59=13, Resulting Numbers: [13] 13,59 unequal: No Solution Exploring Operation: 59+72=131, Resulting Numbers: [131] 131,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 59:[53, 40], Operations: ['10+49=59', '59-19=40'] Exploring Operation: 53*40=2120, Resulting Numbers: [2120] 2120,59 unequal: No Solution Exploring Operation: 53-40=13, Resulting Numbers: [13] 13,59 unequal: No Solution Exploring Operation: 53+40=93, Resulting Numbers: [93] 93,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 59:[53, 78], Operations: ['10+49=59', '19+59=78'] Exploring Operation: 78-53=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 53*78=4134, Resulting Numbers: [4134] 4134,59 unequal: No Solution Exploring Operation: 53+78=131, Resulting Numbers: [131] 131,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 59:[59, 34], Operations: ['10+49=59', '53-19=34'] Exploring Operation: 59-34=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 59*34=2006, Resulting Numbers: [2006] 2006,59 unequal: No Solution Exploring Operation: 59+34=93, Resulting Numbers: [93] 93,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 59:[19, 112], Operations: ['10+49=59', '53+59=112'] Exploring Operation: 19*112=2128, Resulting Numbers: [2128] 2128,59 unequal: No Solution Exploring Operation: 19+112=131, Resulting Numbers: [131] 131,59 unequal: No Solution Exploring Operation: 112-19=93, Resulting Numbers: [93] 93,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 59:[53, 49, 29], Operations: ['10+19=29'] Exploring Operation: 53+49=102, Resulting Numbers: [29, 102] Generated Node #0,1,0: 59:[29, 102] Operation: 53+49=102 Exploring Operation: 49+29=78, Resulting Numbers: [53, 78] Generated Node #0,1,1: 59:[53, 78] Operation: 49+29=78 Exploring Operation: 53+29=82, Resulting Numbers: [49, 82] Generated Node #0,1,2: 59:[49, 82] Operation: 53+29=82 Exploring Operation: 53-29=24, Resulting Numbers: [49, 24] Generated Node #0,1,3: 59:[49, 24] Operation: 53-29=24 Exploring Operation: 49-29=20, Resulting Numbers: [53, 20] Generated Node #0,1,4: 59:[53, 20] Operation: 49-29=20 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 59:[53, 78], Operations: ['10+19=29', '49+29=78'] Exploring Operation: 53+78=131, Resulting Numbers: [131] 131,59 unequal: No Solution Exploring Operation: 53*78=4134, Resulting Numbers: [4134] 4134,59 unequal: No Solution Exploring Operation: 78-53=25, Resulting Numbers: [25] 25,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 59:[49, 82], Operations: ['10+19=29', '53+29=82'] Exploring Operation: 49*82=4018, Resulting Numbers: [4018] 4018,59 unequal: No Solution Exploring Operation: 82-49=33, Resulting Numbers: [33] 33,59 unequal: No Solution Exploring Operation: 49+82=131, Resulting Numbers: [131] 131,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 59:[49, 24], Operations: ['10+19=29', '53-29=24'] Exploring Operation: 49+24=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 49-24=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 49*24=1176, Resulting Numbers: [1176] 1176,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,4 Current State: 59:[53, 20], Operations: ['10+19=29', '49-29=20'] Exploring Operation: 53-20=33, Resulting Numbers: [33] 33,59 unequal: No Solution Exploring Operation: 53*20=1060, Resulting Numbers: [1060] 1060,59 unequal: No Solution Exploring Operation: 53+20=73, Resulting Numbers: [73] 73,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 59:[29, 102], Operations: ['10+19=29', '53+49=102'] Exploring Operation: 29*102=2958, Resulting Numbers: [2958] 2958,59 unequal: No Solution Exploring Operation: 102-29=73, Resulting Numbers: [73] 73,59 unequal: No Solution Exploring Operation: 29+102=131, Resulting Numbers: [131] 131,59 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 59:[19, 49, 63], Operations: ['10+53=63'] Exploring Operation: 63-49=14, Resulting Numbers: [19, 14] Generated Node #0,2,0: 59:[19, 14] Operation: 63-49=14 Exploring Operation: 63-19=44, Resulting Numbers: [49, 44] Generated Node #0,2,1: 59:[49, 44] Operation: 63-19=44 Exploring Operation: 19+63=82, Resulting Numbers: [49, 82] Generated Node #0,2,2: 59:[49, 82] Operation: 19+63=82 Exploring Operation: 49-19=30, Resulting Numbers: [63, 30] Generated Node #0,2,3: 59:[63, 30] Operation: 49-19=30 Exploring Operation: 19+49=68, Resulting Numbers: [63, 68] Generated Node #0,2,4: 59:[63, 68] Operation: 19+49=68 Moving to Node #0,2,4 Current State: 59:[63, 68], Operations: ['10+53=63', '19+49=68'] Exploring Operation: 63*68=4284, Resulting Numbers: [4284] 4284,59 unequal: No Solution Exploring Operation: 63+68=131, Resulting Numbers: [131] 131,59 unequal: No Solution Exploring Operation: 68-63=5, Resulting Numbers: [5] 5,59 unequal: No Solution Moving to Node #0,2,1 Current State: 59:[49, 44], Operations: ['10+53=63', '63-19=44'] Exploring Operation: 49*44=2156, Resulting Numbers: [2156] 2156,59 unequal: No Solution Exploring Operation: 49-44=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 49+44=93, Resulting Numbers: [93] 93,59 unequal: No Solution Moving to Node #0,2,2 Current State: 59:[49, 82], Operations: ['10+53=63', '19+63=82'] Exploring Operation: 49*82=4018, Resulting Numbers: [4018] 4018,59 unequal: No Solution Exploring Operation: 82-49=33, Resulting Numbers: [33] 33,59 unequal: No Solution Exploring Operation: 49+82=131, Resulting Numbers: [131] 131,59 unequal: No Solution Moving to Node #0,2,3 Current State: 59:[63, 30], Operations: ['10+53=63', '49-19=30'] Exploring Operation: 63-30=33, Resulting Numbers: [33] 33,59 unequal: No Solution Exploring Operation: 63*30=1890, Resulting Numbers: [1890] 1890,59 unequal: No Solution Exploring Operation: 63+30=93, Resulting Numbers: [93] 93,59 unequal: No Solution Moving to Node #0,2,0 Current State: 59:[19, 14], Operations: ['10+53=63', '63-49=14'] Exploring Operation: 19*14=266, Resulting Numbers: [266] 266,59 unequal: No Solution Exploring Operation: 19+14=33, Resulting Numbers: [33] 33,59 unequal: No Solution Exploring Operation: 19-14=5, Resulting Numbers: [5] 5,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 59:[10, 53, 68], Operations: ['19+49=68'] Exploring Operation: 10+68=78, Resulting Numbers: [53, 78] Generated Node #0,4,0: 59:[53, 78] Operation: 10+68=78 Exploring Operation: 68-10=58, Resulting Numbers: [53, 58] Generated Node #0,4,1: 59:[53, 58] Operation: 68-10=58 Exploring Operation: 68-53=15, Resulting Numbers: [10, 15] Generated Node #0,4,2: 59:[10, 15] Operation: 68-53=15 Exploring Operation: 53-10=43, Resulting Numbers: [68, 43] Generated Node #0,4,3: 59:[68, 43] Operation: 53-10=43 Exploring Operation: 10+53=63, Resulting Numbers: [68, 63] Generated Node #0,4,4: 59:[68, 63] Operation: 10+53=63 Moving to Node #0,4,1 Current State: 59:[53, 58], Operations: ['19+49=68', '68-10=58'] Exploring Operation: 53*58=3074, Resulting Numbers: [3074] 3074,59 unequal: No Solution Exploring Operation: 58-53=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 53+58=111, Resulting Numbers: [111] 111,59 unequal: No Solution Moving to Node #0,4,4 Current State: 59:[68, 63], Operations: ['19+49=68', '10+53=63'] Exploring Operation: 68*63=4284, Resulting Numbers: [4284] 4284,59 unequal: No Solution Exploring Operation: 68+63=131, Resulting Numbers: [131] 131,59 unequal: No Solution Exploring Operation: 68-63=5, Resulting Numbers: [5] 5,59 unequal: No Solution Moving to Node #0,4,0 Current State: 59:[53, 78], Operations: ['19+49=68', '10+68=78'] Exploring Operation: 53*78=4134, Resulting Numbers: [4134] 4134,59 unequal: No Solution Exploring Operation: 53+78=131, Resulting Numbers: [131] 131,59 unequal: No Solution Exploring Operation: 78-53=25, Resulting Numbers: [25] 25,59 unequal: No Solution Moving to Node #0,4,3 Current State: 59:[68, 43], Operations: ['19+49=68', '53-10=43'] Exploring Operation: 68-43=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 68+43=111, Resulting Numbers: [111] 111,59 unequal: No Solution Exploring Operation: 68*43=2924, Resulting Numbers: [2924] 2924,59 unequal: No Solution Moving to Node #0,4,2 Current State: 59:[10, 15], Operations: ['19+49=68', '68-53=15'] Exploring Operation: 10+15=25, Resulting Numbers: [25] 25,59 unequal: No Solution Exploring Operation: 15-10=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 10*15=150, Resulting Numbers: [150] 150,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 59:[53, 49, 9], Operations: ['19-10=9'] Exploring Operation: 49-9=40, Resulting Numbers: [53, 40] Generated Node #0,3,0: 59:[53, 40] Operation: 49-9=40 Exploring Operation: 53+9=62, Resulting Numbers: [49, 62] Generated Node #0,3,1: 59:[49, 62] Operation: 53+9=62 Exploring Operation: 53+49=102, Resulting Numbers: [9, 102] Generated Node #0,3,2: 59:[9, 102] Operation: 53+49=102 Exploring Operation: 53-9=44, Resulting Numbers: [49, 44] Generated Node #0,3,3: 59:[49, 44] Operation: 53-9=44 Exploring Operation: 49+9=58, Resulting Numbers: [53, 58] Generated Node #0,3,4: 59:[53, 58] Operation: 49+9=58 Moving to Node #0,3,4 Current State: 59:[53, 58], Operations: ['19-10=9', '49+9=58'] Exploring Operation: 53+58=111, Resulting Numbers: [111] 111,59 unequal: No Solution Exploring Operation: 58-53=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 53*58=3074, Resulting Numbers: [3074] 3074,59 unequal: No Solution Moving to Node #0,3,1 Current State: 59:[49, 62], Operations: ['19-10=9', '53+9=62'] Exploring Operation: 49*62=3038, Resulting Numbers: [3038] 3038,59 unequal: No Solution Exploring Operation: 62-49=13, Resulting Numbers: [13] 13,59 unequal: No Solution Exploring Operation: 49+62=111, Resulting Numbers: [111] 111,59 unequal: No Solution Moving to Node #0,3,0 Current State: 59:[53, 40], Operations: ['19-10=9', '49-9=40'] Exploring Operation: 53+40=93, Resulting Numbers: [93] 93,59 unequal: No Solution Exploring Operation: 53*40=2120, Resulting Numbers: [2120] 2120,59 unequal: No Solution Exploring Operation: 53-40=13, Resulting Numbers: [13] 13,59 unequal: No Solution Moving to Node #0,3,3 Current State: 59:[49, 44], Operations: ['19-10=9', '53-9=44'] Exploring Operation: 49-44=5, Resulting Numbers: [5] 5,59 unequal: No Solution Exploring Operation: 49+44=93, Resulting Numbers: [93] 93,59 unequal: No Solution Exploring Operation: 49*44=2156, Resulting Numbers: [2156] 2156,59 unequal: No Solution Moving to Node #0,3,2 Current State: 59:[9, 102], Operations: ['19-10=9', '53+49=102'] Exploring Operation: 9+102=111, Resulting Numbers: [111] 111,59 unequal: No Solution Exploring Operation: 9*102=918, Resulting Numbers: [918] 918,59 unequal: No Solution Exploring Operation: 102-9=93, Resulting Numbers: [93] 93,59 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 11, 32, 58, 46 ]
61
[ "11+32=43", "58+46=104", "104-43=61" ]
Current State: 61:[11, 32, 58, 46], Operations: [] Exploring Operation: 11+32=43, Resulting Numbers: [58, 46, 43] Generated Node #2: [58, 46, 43] from Operation: 11+32=43 Current State: 61:[58, 46, 43], Operations: ['11+32=43'] Exploring Operation: 58+46=104, Resulting Numbers: [43, 104] Generated Node #3: [43, 104] from Operation: 58+46=104 Current State: 61:[43, 104], Operations: ['11+32=43', '58+46=104'] Exploring Operation: 104-43=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[11, 32, 58, 46], Operations: [] Exploring Operation: 11+32=43, Resulting Numbers: [58, 46, 43] Generated Node #0,0: 61:[58, 46, 43] Operation: 11+32=43 Exploring Operation: 11+58=69, Resulting Numbers: [32, 46, 69] Generated Node #0,1: 61:[32, 46, 69] Operation: 11+58=69 Exploring Operation: 11+46=57, Resulting Numbers: [32, 58, 57] Generated Node #0,2: 61:[32, 58, 57] Operation: 11+46=57 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[58, 46, 43], Operations: ['11+32=43'] Exploring Operation: 46+43=89, Resulting Numbers: [58, 89] Generated Node #0,0,0: 61:[58, 89] Operation: 46+43=89 Exploring Operation: 58+43=101, Resulting Numbers: [46, 101] Generated Node #0,0,1: 61:[46, 101] Operation: 58+43=101 Exploring Operation: 58+46=104, Resulting Numbers: [43, 104] Generated Node #0,0,2: 61:[43, 104] Operation: 58+46=104 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 61:[58, 89], Operations: ['11+32=43', '46+43=89'] Exploring Operation: 89-58=31, Resulting Numbers: [31] 31,61 unequal: No Solution Exploring Operation: 58*89=5162, Resulting Numbers: [5162] 5162,61 unequal: No Solution Exploring Operation: 58+89=147, Resulting Numbers: [147] 147,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 61:[46, 101], Operations: ['11+32=43', '58+43=101'] Exploring Operation: 46*101=4646, Resulting Numbers: [4646] 4646,61 unequal: No Solution Exploring Operation: 101-46=55, Resulting Numbers: [55] 55,61 unequal: No Solution Exploring Operation: 46+101=147, Resulting Numbers: [147] 147,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 61:[43, 104], Operations: ['11+32=43', '58+46=104'] Exploring Operation: 43*104=4472, Resulting Numbers: [4472] 4472,61 unequal: No Solution Exploring Operation: 43+104=147, Resulting Numbers: [147] 147,61 unequal: No Solution Exploring Operation: 104-43=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Moving to Node #0 Current State: 61:[11, 32, 58, 46], Operations: [] Exploring Operation: 11+32=43, Resulting Numbers: [58, 46, 43] Generated Node #0,0: 61:[58, 46, 43] Operation: 11+32=43 Moving to Node #0,0 Current State: 61:[58, 46, 43], Operations: ['11+32=43'] Exploring Operation: 58+46=104, Resulting Numbers: [43, 104] Generated Node #0,0,2: 61:[43, 104] Operation: 58+46=104 Moving to Node #0,0,2 Current State: 61:[43, 104], Operations: ['11+32=43', '58+46=104'] Exploring Operation: 104-43=61, Resulting Numbers: [61] 61,61 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.983507
hs_3
mult_heuristic
[ 93, 87, 87, 52 ]
52
[ "87-87=0", "93*0=0", "52+0=52" ]
Current State: 52:[93, 87, 87, 52], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [93, 52, 0] Generated Node #2: [93, 52, 0] from Operation: 87-87=0 Current State: 52:[93, 52, 0], Operations: ['87-87=0'] Exploring Operation: 93*0=0, Resulting Numbers: [52, 0] Generated Node #3: [52, 0] from Operation: 93*0=0 Current State: 52:[52, 0], Operations: ['87-87=0', '93*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached
4
Current State: 52:[93, 87, 87, 52], Operations: [] Exploring Operation: 93-87=6, Resulting Numbers: [87, 52, 6] Generated Node #0,0: 52:[87, 52, 6] Operation: 93-87=6 Exploring Operation: 87/87=1, Resulting Numbers: [93, 52, 1] Generated Node #0,1: 52:[93, 52, 1] Operation: 87/87=1 Exploring Operation: 93-87=6, Resulting Numbers: [87, 52, 6] Generated Node #0,2: 52:[87, 52, 6] Operation: 93-87=6 Exploring Operation: 87-87=0, Resulting Numbers: [93, 52, 0] Generated Node #0,3: 52:[93, 52, 0] Operation: 87-87=0 Start Sub Search at level 1: Moving to Node #0,0 Current State: 52:[87, 52, 6], Operations: ['93-87=6'] Exploring Operation: 87-6=81, Resulting Numbers: [52, 81] Generated Node #0,0,0: 52:[52, 81] Operation: 87-6=81 Exploring Operation: 87+6=93, Resulting Numbers: [52, 93] Generated Node #0,0,1: 52:[52, 93] Operation: 87+6=93 Exploring Operation: 87-52=35, Resulting Numbers: [6, 35] Generated Node #0,0,2: 52:[6, 35] Operation: 87-52=35 Exploring Operation: 52+6=58, Resulting Numbers: [87, 58] Generated Node #0,0,3: 52:[87, 58] Operation: 52+6=58 Moving to Node #0,0,2 Current State: 52:[6, 35], Operations: ['93-87=6', '87-52=35'] Exploring Operation: 6+35=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 6*35=210, Resulting Numbers: [210] 210,52 unequal: No Solution Moving to Node #0,0,0 Current State: 52:[52, 81], Operations: ['93-87=6', '87-6=81'] Exploring Operation: 52+81=133, Resulting Numbers: [133] 133,52 unequal: No Solution Exploring Operation: 81-52=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 52*81=4212, Resulting Numbers: [4212] 4212,52 unequal: No Solution Moving to Node #0,0,3 Current State: 52:[87, 58], Operations: ['93-87=6', '52+6=58'] Exploring Operation: 87-58=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 87+58=145, Resulting Numbers: [145] 145,52 unequal: No Solution Exploring Operation: 87*58=5046, Resulting Numbers: [5046] 5046,52 unequal: No Solution Moving to Node #0,0,1 Current State: 52:[52, 93], Operations: ['93-87=6', '87+6=93'] Exploring Operation: 52+93=145, Resulting Numbers: [145] 145,52 unequal: No Solution Exploring Operation: 93-52=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 52*93=4836, Resulting Numbers: [4836] 4836,52 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 52:[87, 52, 6], Operations: ['93-87=6'] Exploring Operation: 87+6=93, Resulting Numbers: [52, 93] Generated Node #0,2,0: 52:[52, 93] Operation: 87+6=93 Exploring Operation: 87-52=35, Resulting Numbers: [6, 35] Generated Node #0,2,1: 52:[6, 35] Operation: 87-52=35 Exploring Operation: 87-6=81, Resulting Numbers: [52, 81] Generated Node #0,2,2: 52:[52, 81] Operation: 87-6=81 Exploring Operation: 52+6=58, Resulting Numbers: [87, 58] Generated Node #0,2,3: 52:[87, 58] Operation: 52+6=58 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 52:[6, 35], Operations: ['93-87=6', '87-52=35'] Exploring Operation: 6+35=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 6*35=210, Resulting Numbers: [210] 210,52 unequal: No Solution Exploring Operation: 35-6=29, Resulting Numbers: [29] 29,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 52:[52, 81], Operations: ['93-87=6', '87-6=81'] Exploring Operation: 52*81=4212, Resulting Numbers: [4212] 4212,52 unequal: No Solution Exploring Operation: 81-52=29, Resulting Numbers: [29] 29,52 unequal: No Solution Exploring Operation: 52+81=133, Resulting Numbers: [133] 133,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 52:[52, 93], Operations: ['93-87=6', '87+6=93'] Exploring Operation: 52*93=4836, Resulting Numbers: [4836] 4836,52 unequal: No Solution Exploring Operation: 52+93=145, Resulting Numbers: [145] 145,52 unequal: No Solution Exploring Operation: 93-52=41, Resulting Numbers: [41] 41,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 52:[87, 58], Operations: ['93-87=6', '52+6=58'] Exploring Operation: 87*58=5046, Resulting Numbers: [5046] 5046,52 unequal: No Solution Exploring Operation: 87+58=145, Resulting Numbers: [145] 145,52 unequal: No Solution Exploring Operation: 87-58=29, Resulting Numbers: [29] 29,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 52:[93, 52, 1], Operations: ['87/87=1'] Exploring Operation: 93-1=92, Resulting Numbers: [52, 92] Generated Node #0,1,0: 52:[52, 92] Operation: 93-1=92 Exploring Operation: 93*1=93, Resulting Numbers: [52, 93] Generated Node #0,1,1: 52:[52, 93] Operation: 93*1=93 Exploring Operation: 93/1=93, Resulting Numbers: [52, 93] Generated Node #0,1,2: 52:[52, 93] Operation: 93/1=93 Exploring Operation: 93-52=41, Resulting Numbers: [1, 41] Generated Node #0,1,3: 52:[1, 41] Operation: 93-52=41 Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 52:[1, 41], Operations: ['87/87=1', '93-52=41'] Exploring Operation: 1*41=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 41-1=40, Resulting Numbers: [40] 40,52 unequal: No Solution Exploring Operation: 41/1=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 1+41=42, Resulting Numbers: [42] 42,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 52:[52, 92], Operations: ['87/87=1', '93-1=92'] Exploring Operation: 92-52=40, Resulting Numbers: [40] 40,52 unequal: No Solution Exploring Operation: 52*92=4784, Resulting Numbers: [4784] 4784,52 unequal: No Solution Exploring Operation: 52+92=144, Resulting Numbers: [144] 144,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 52:[52, 93], Operations: ['87/87=1', '93*1=93'] Exploring Operation: 52+93=145, Resulting Numbers: [145] 145,52 unequal: No Solution Exploring Operation: 93-52=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 52*93=4836, Resulting Numbers: [4836] 4836,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 52:[52, 93], Operations: ['87/87=1', '93/1=93'] Exploring Operation: 93-52=41, Resulting Numbers: [41] 41,52 unequal: No Solution Exploring Operation: 52+93=145, Resulting Numbers: [145] 145,52 unequal: No Solution Exploring Operation: 52*93=4836, Resulting Numbers: [4836] 4836,52 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 52:[93, 52, 0], Operations: ['87-87=0'] Exploring Operation: 93-52=41, Resulting Numbers: [0, 41] Generated Node #0,3,0: 52:[0, 41] Operation: 93-52=41 Exploring Operation: 93*0=0, Resulting Numbers: [52, 0] Generated Node #0,3,1: 52:[52, 0] Operation: 93*0=0 Exploring Operation: 93+0=93, Resulting Numbers: [52, 93] Generated Node #0,3,2: 52:[52, 93] Operation: 93+0=93 Exploring Operation: 93-0=93, Resulting Numbers: [52, 93] Generated Node #0,3,3: 52:[52, 93] Operation: 93-0=93 Moving to Node #0,3,1 Current State: 52:[52, 0], Operations: ['87-87=0', '93*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Moving to Node #0 Current State: 52:[93, 87, 87, 52], Operations: [] Exploring Operation: 87-87=0, Resulting Numbers: [93, 52, 0] Generated Node #0,3: 52:[93, 52, 0] Operation: 87-87=0 Moving to Node #0,3 Current State: 52:[93, 52, 0], Operations: ['87-87=0'] Exploring Operation: 93*0=0, Resulting Numbers: [52, 0] Generated Node #0,3,1: 52:[52, 0] Operation: 93*0=0 Moving to Node #0,3,1 Current State: 52:[52, 0], Operations: ['87-87=0', '93*0=0'] Exploring Operation: 52+0=52, Resulting Numbers: [52] 52,52 equal: Goal Reached Exit Sub Search at level 1
0.946181
hs_4
mult_heuristic
[ 52, 87, 51, 75 ]
91
[ "87-52=35", "51+75=126", "126-35=91" ]
Current State: 91:[52, 87, 51, 75], Operations: [] Exploring Operation: 87-52=35, Resulting Numbers: [51, 75, 35] Generated Node #2: [51, 75, 35] from Operation: 87-52=35 Current State: 91:[51, 75, 35], Operations: ['87-52=35'] Exploring Operation: 51+75=126, Resulting Numbers: [35, 126] Generated Node #3: [35, 126] from Operation: 51+75=126 Current State: 91:[35, 126], Operations: ['87-52=35', '51+75=126'] Exploring Operation: 126-35=91, Resulting Numbers: [91] 91,91 equal: Goal Reached
4
Current State: 91:[52, 87, 51, 75], Operations: [] Exploring Operation: 52-51=1, Resulting Numbers: [87, 75, 1] Generated Node #0,0: 91:[87, 75, 1] Operation: 52-51=1 Start Sub Search at level 1: Moving to Node #0,0 Current State: 91:[87, 75, 1], Operations: ['52-51=1'] Exploring Operation: 87-75=12, Resulting Numbers: [1, 12] Generated Node #0,0,0: 91:[1, 12] Operation: 87-75=12 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 91:[1, 12], Operations: ['52-51=1', '87-75=12'] Exploring Operation: 1+12=13, Resulting Numbers: [13] 13,91 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 2, 56, 27, 79 ]
75
[ "2*79=158", "56+27=83", "158-83=75" ]
Current State: 75:[2, 56, 27, 79], Operations: [] Exploring Operation: 2*79=158, Resulting Numbers: [56, 27, 158] Generated Node #2: [56, 27, 158] from Operation: 2*79=158 Current State: 75:[56, 27, 158], Operations: ['2*79=158'] Exploring Operation: 56+27=83, Resulting Numbers: [158, 83] Generated Node #3: [158, 83] from Operation: 56+27=83 Current State: 75:[158, 83], Operations: ['2*79=158', '56+27=83'] Exploring Operation: 158-83=75, Resulting Numbers: [75] 75,75 equal: Goal Reached
4
Current State: 75:[2, 56, 27, 79], Operations: [] Exploring Operation: 79-56=23, Resulting Numbers: [2, 27, 23] Generated Node #0,0: 75:[2, 27, 23] Operation: 79-56=23 Exploring Operation: 56/2=28, Resulting Numbers: [27, 79, 28] Generated Node #0,1: 75:[27, 79, 28] Operation: 56/2=28 Exploring Operation: 56-27=29, Resulting Numbers: [2, 79, 29] Generated Node #0,2: 75:[2, 79, 29] Operation: 56-27=29 Exploring Operation: 56+27=83, Resulting Numbers: [2, 79, 83] Generated Node #0,3: 75:[2, 79, 83] Operation: 56+27=83 Start Sub Search at level 1: Moving to Node #0,0 Current State: 75:[2, 27, 23], Operations: ['79-56=23'] Exploring Operation: 27-23=4, Resulting Numbers: [2, 4] Generated Node #0,0,0: 75:[2, 4] Operation: 27-23=4 Exploring Operation: 2+27=29, Resulting Numbers: [23, 29] Generated Node #0,0,1: 75:[23, 29] Operation: 2+27=29 Exploring Operation: 27-2=25, Resulting Numbers: [23, 25] Generated Node #0,0,2: 75:[23, 25] Operation: 27-2=25 Exploring Operation: 2+23=25, Resulting Numbers: [27, 25] Generated Node #0,0,3: 75:[27, 25] Operation: 2+23=25 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 75:[2, 4], Operations: ['79-56=23', '27-23=4'] Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,75 unequal: No Solution Exploring Operation: 2*4=8, Resulting Numbers: [8] 8,75 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,75 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 75:[23, 25], Operations: ['79-56=23', '27-2=25'] Exploring Operation: 23+25=48, Resulting Numbers: [48] 48,75 unequal: No Solution Exploring Operation: 23*25=575, Resulting Numbers: [575] 575,75 unequal: No Solution Exploring Operation: 25-23=2, Resulting Numbers: [2] 2,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 75:[27, 25], Operations: ['79-56=23', '2+23=25'] Exploring Operation: 27*25=675, Resulting Numbers: [675] 675,75 unequal: No Solution Exploring Operation: 27+25=52, Resulting Numbers: [52] 52,75 unequal: No Solution Exploring Operation: 27-25=2, Resulting Numbers: [2] 2,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 75:[23, 29], Operations: ['79-56=23', '2+27=29'] Exploring Operation: 29-23=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 23*29=667, Resulting Numbers: [667] 667,75 unequal: No Solution Exploring Operation: 23+29=52, Resulting Numbers: [52] 52,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 75:[27, 79, 28], Operations: ['56/2=28'] Exploring Operation: 28-27=1, Resulting Numbers: [79, 1] Generated Node #0,1,0: 75:[79, 1] Operation: 28-27=1 Exploring Operation: 79-28=51, Resulting Numbers: [27, 51] Generated Node #0,1,1: 75:[27, 51] Operation: 79-28=51 Exploring Operation: 79-27=52, Resulting Numbers: [28, 52] Generated Node #0,1,2: 75:[28, 52] Operation: 79-27=52 Exploring Operation: 27+28=55, Resulting Numbers: [79, 55] Generated Node #0,1,3: 75:[79, 55] Operation: 27+28=55 Moving to Node #0,1,0 Current State: 75:[79, 1], Operations: ['56/2=28', '28-27=1'] Exploring Operation: 79*1=79, Resulting Numbers: [79] 79,75 unequal: No Solution Exploring Operation: 79+1=80, Resulting Numbers: [80] 80,75 unequal: No Solution Exploring Operation: 79-1=78, Resulting Numbers: [78] 78,75 unequal: No Solution Exploring Operation: 79/1=79, Resulting Numbers: [79] 79,75 unequal: No Solution Moving to Node #0,1,3 Current State: 75:[79, 55], Operations: ['56/2=28', '27+28=55'] Exploring Operation: 79*55=4345, Resulting Numbers: [4345] 4345,75 unequal: No Solution Exploring Operation: 79-55=24, Resulting Numbers: [24] 24,75 unequal: No Solution Exploring Operation: 79+55=134, Resulting Numbers: [134] 134,75 unequal: No Solution Moving to Node #0,1,2 Current State: 75:[28, 52], Operations: ['56/2=28', '79-27=52'] Exploring Operation: 28+52=80, Resulting Numbers: [80] 80,75 unequal: No Solution Exploring Operation: 52-28=24, Resulting Numbers: [24] 24,75 unequal: No Solution Exploring Operation: 28*52=1456, Resulting Numbers: [1456] 1456,75 unequal: No Solution Moving to Node #0,1,1 Current State: 75:[27, 51], Operations: ['56/2=28', '79-28=51'] Exploring Operation: 27+51=78, Resulting Numbers: [78] 78,75 unequal: No Solution Exploring Operation: 27*51=1377, Resulting Numbers: [1377] 1377,75 unequal: No Solution Exploring Operation: 51-27=24, Resulting Numbers: [24] 24,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 75:[2, 79, 29], Operations: ['56-27=29'] Exploring Operation: 2+79=81, Resulting Numbers: [29, 81] Generated Node #0,2,0: 75:[29, 81] Operation: 2+79=81 Exploring Operation: 2+29=31, Resulting Numbers: [79, 31] Generated Node #0,2,1: 75:[79, 31] Operation: 2+29=31 Exploring Operation: 79-2=77, Resulting Numbers: [29, 77] Generated Node #0,2,2: 75:[29, 77] Operation: 79-2=77 Exploring Operation: 29-2=27, Resulting Numbers: [79, 27] Generated Node #0,2,3: 75:[79, 27] Operation: 29-2=27 Moving to Node #0,2,2 Current State: 75:[29, 77], Operations: ['56-27=29', '79-2=77'] Exploring Operation: 29+77=106, Resulting Numbers: [106] 106,75 unequal: No Solution Exploring Operation: 77-29=48, Resulting Numbers: [48] 48,75 unequal: No Solution Exploring Operation: 29*77=2233, Resulting Numbers: [2233] 2233,75 unequal: No Solution Moving to Node #0,2,3 Current State: 75:[79, 27], Operations: ['56-27=29', '29-2=27'] Exploring Operation: 79+27=106, Resulting Numbers: [106] 106,75 unequal: No Solution Exploring Operation: 79-27=52, Resulting Numbers: [52] 52,75 unequal: No Solution Exploring Operation: 79*27=2133, Resulting Numbers: [2133] 2133,75 unequal: No Solution Moving to Node #0,2,1 Current State: 75:[79, 31], Operations: ['56-27=29', '2+29=31'] Exploring Operation: 79-31=48, Resulting Numbers: [48] 48,75 unequal: No Solution Exploring Operation: 79*31=2449, Resulting Numbers: [2449] 2449,75 unequal: No Solution Exploring Operation: 79+31=110, Resulting Numbers: [110] 110,75 unequal: No Solution Moving to Node #0,2,0 Current State: 75:[29, 81], Operations: ['56-27=29', '2+79=81'] Exploring Operation: 29*81=2349, Resulting Numbers: [2349] 2349,75 unequal: No Solution Exploring Operation: 81-29=52, Resulting Numbers: [52] 52,75 unequal: No Solution Exploring Operation: 29+81=110, Resulting Numbers: [110] 110,75 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 75:[2, 79, 83], Operations: ['56+27=83'] Exploring Operation: 79-2=77, Resulting Numbers: [83, 77] Generated Node #0,3,0: 75:[83, 77] Operation: 79-2=77 Exploring Operation: 2+79=81, Resulting Numbers: [83, 81] Generated Node #0,3,1: 75:[83, 81] Operation: 2+79=81 Exploring Operation: 83-2=81, Resulting Numbers: [79, 81] Generated Node #0,3,2: 75:[79, 81] Operation: 83-2=81 Exploring Operation: 83-79=4, Resulting Numbers: [2, 4] Generated Node #0,3,3: 75:[2, 4] Operation: 83-79=4 Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 75:[2, 4], Operations: ['56+27=83', '83-79=4'] Exploring Operation: 2*4=8, Resulting Numbers: [8] 8,75 unequal: No Solution Exploring Operation: 4/2=2, Resulting Numbers: [2] 2,75 unequal: No Solution Exploring Operation: 4-2=2, Resulting Numbers: [2] 2,75 unequal: No Solution Exploring Operation: 2+4=6, Resulting Numbers: [6] 6,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 75:[83, 77], Operations: ['56+27=83', '79-2=77'] Exploring Operation: 83-77=6, Resulting Numbers: [6] 6,75 unequal: No Solution Exploring Operation: 83*77=6391, Resulting Numbers: [6391] 6391,75 unequal: No Solution Exploring Operation: 83+77=160, Resulting Numbers: [160] 160,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 75:[79, 81], Operations: ['56+27=83', '83-2=81'] Exploring Operation: 79*81=6399, Resulting Numbers: [6399] 6399,75 unequal: No Solution Exploring Operation: 79+81=160, Resulting Numbers: [160] 160,75 unequal: No Solution Exploring Operation: 81-79=2, Resulting Numbers: [2] 2,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 75:[83, 81], Operations: ['56+27=83', '2+79=81'] Exploring Operation: 83-81=2, Resulting Numbers: [2] 2,75 unequal: No Solution Exploring Operation: 83+81=164, Resulting Numbers: [164] 164,75 unequal: No Solution Exploring Operation: 83*81=6723, Resulting Numbers: [6723] 6723,75 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 69, 58, 96, 15 ]
24
[ "69-58=11", "15-11=4", "96/4=24" ]
Current State: 24:[69, 58, 96, 15], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [96, 15, 11] Generated Node #2: [96, 15, 11] from Operation: 69-58=11 Current State: 24:[96, 15, 11], Operations: ['69-58=11'] Exploring Operation: 15-11=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 15-11=4 Current State: 24:[96, 4], Operations: ['69-58=11', '15-11=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[69, 58, 96, 15], Operations: [] Exploring Operation: 69-58=11, Resulting Numbers: [96, 15, 11] Generated Node #0,0: 24:[96, 15, 11] Operation: 69-58=11 Exploring Operation: 96-58=38, Resulting Numbers: [69, 15, 38] Generated Node #0,1: 24:[69, 15, 38] Operation: 96-58=38 Exploring Operation: 96-69=27, Resulting Numbers: [58, 15, 27] Generated Node #0,2: 24:[58, 15, 27] Operation: 96-69=27 Exploring Operation: 69-15=54, Resulting Numbers: [58, 96, 54] Generated Node #0,3: 24:[58, 96, 54] Operation: 69-15=54 Moving to Node #0,2 Current State: 24:[58, 15, 27], Operations: ['96-69=27'] Exploring Operation: 58-15=43, Resulting Numbers: [27, 43] Generated Node #0,2,0: 24:[27, 43] Operation: 58-15=43 Exploring Operation: 58-27=31, Resulting Numbers: [15, 31] Generated Node #0,2,1: 24:[15, 31] Operation: 58-27=31 Exploring Operation: 58+15=73, Resulting Numbers: [27, 73] Generated Node #0,2,2: 24:[27, 73] Operation: 58+15=73 Exploring Operation: 27-15=12, Resulting Numbers: [58, 12] Generated Node #0,2,3: 24:[58, 12] Operation: 27-15=12 Moving to Node #0,1 Current State: 24:[69, 15, 38], Operations: ['96-58=38'] Exploring Operation: 69+15=84, Resulting Numbers: [38, 84] Generated Node #0,1,0: 24:[38, 84] Operation: 69+15=84 Exploring Operation: 38-15=23, Resulting Numbers: [69, 23] Generated Node #0,1,1: 24:[69, 23] Operation: 38-15=23 Exploring Operation: 69-15=54, Resulting Numbers: [38, 54] Generated Node #0,1,2: 24:[38, 54] Operation: 69-15=54 Exploring Operation: 69-38=31, Resulting Numbers: [15, 31] Generated Node #0,1,3: 24:[15, 31] Operation: 69-38=31 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 24:[15, 31], Operations: ['96-58=38', '69-38=31'] Exploring Operation: 31-15=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 15+31=46, Resulting Numbers: [46] 46,24 unequal: No Solution Exploring Operation: 15*31=465, Resulting Numbers: [465] 465,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 24:[38, 54], Operations: ['96-58=38', '69-15=54'] Exploring Operation: 38+54=92, Resulting Numbers: [92] 92,24 unequal: No Solution Exploring Operation: 38*54=2052, Resulting Numbers: [2052] 2052,24 unequal: No Solution Exploring Operation: 54-38=16, Resulting Numbers: [16] 16,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 24:[69, 23], Operations: ['96-58=38', '38-15=23'] Exploring Operation: 69-23=46, Resulting Numbers: [46] 46,24 unequal: No Solution Exploring Operation: 69/23=3, Resulting Numbers: [3] 3,24 unequal: No Solution Exploring Operation: 69+23=92, Resulting Numbers: [92] 92,24 unequal: No Solution Exploring Operation: 69*23=1587, Resulting Numbers: [1587] 1587,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 24:[38, 84], Operations: ['96-58=38', '69+15=84'] Exploring Operation: 38+84=122, Resulting Numbers: [122] 122,24 unequal: No Solution Exploring Operation: 84-38=46, Resulting Numbers: [46] 46,24 unequal: No Solution Exploring Operation: 38*84=3192, Resulting Numbers: [3192] 3192,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 24:[96, 15, 11], Operations: ['69-58=11'] Exploring Operation: 15+11=26, Resulting Numbers: [96, 26] Generated Node #0,0,0: 24:[96, 26] Operation: 15+11=26 Exploring Operation: 15-11=4, Resulting Numbers: [96, 4] Generated Node #0,0,1: 24:[96, 4] Operation: 15-11=4 Exploring Operation: 96-15=81, Resulting Numbers: [11, 81] Generated Node #0,0,2: 24:[11, 81] Operation: 96-15=81 Exploring Operation: 96-11=85, Resulting Numbers: [15, 85] Generated Node #0,0,3: 24:[15, 85] Operation: 96-11=85 Moving to Node #0,3 Current State: 24:[58, 96, 54], Operations: ['69-15=54'] Exploring Operation: 96-54=42, Resulting Numbers: [58, 42] Generated Node #0,3,0: 24:[58, 42] Operation: 96-54=42 Exploring Operation: 58+96=154, Resulting Numbers: [54, 154] Generated Node #0,3,1: 24:[54, 154] Operation: 58+96=154 Exploring Operation: 58-54=4, Resulting Numbers: [96, 4] Generated Node #0,3,2: 24:[96, 4] Operation: 58-54=4 Exploring Operation: 96-58=38, Resulting Numbers: [54, 38] Generated Node #0,3,3: 24:[54, 38] Operation: 96-58=38 Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 24:[54, 38], Operations: ['69-15=54', '96-58=38'] Exploring Operation: 54+38=92, Resulting Numbers: [92] 92,24 unequal: No Solution Exploring Operation: 54*38=2052, Resulting Numbers: [2052] 2052,24 unequal: No Solution Exploring Operation: 54-38=16, Resulting Numbers: [16] 16,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 24:[58, 42], Operations: ['69-15=54', '96-54=42'] Exploring Operation: 58+42=100, Resulting Numbers: [100] 100,24 unequal: No Solution Exploring Operation: 58-42=16, Resulting Numbers: [16] 16,24 unequal: No Solution Exploring Operation: 58*42=2436, Resulting Numbers: [2436] 2436,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 24:[96, 4], Operations: ['69-15=54', '58-54=4'] Exploring Operation: 96*4=384, Resulting Numbers: [384] 384,24 unequal: No Solution Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,24 unequal: No Solution Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Moving to Node #0 Current State: 24:[69, 58, 96, 15], Operations: [] Exploring Operation: 69-15=54, Resulting Numbers: [58, 96, 54] Generated Node #0,3: 24:[58, 96, 54] Operation: 69-15=54 Moving to Node #0,3 Current State: 24:[58, 96, 54], Operations: ['69-15=54'] Exploring Operation: 58-54=4, Resulting Numbers: [96, 4] Generated Node #0,3,2: 24:[96, 4] Operation: 58-54=4 Moving to Node #0,3,2 Current State: 24:[96, 4], Operations: ['69-15=54', '58-54=4'] Exploring Operation: 96/4=24, Resulting Numbers: [24] 24,24 equal: Goal Reached Exit Sub Search at level 1
0.960069
hs_4
mult_heuristic
[ 89, 30, 71, 18 ]
96
[ "89+71=160", "18*160=2880", "2880/30=96" ]
Current State: 96:[89, 30, 71, 18], Operations: [] Exploring Operation: 89+71=160, Resulting Numbers: [30, 18, 160] Generated Node #2: [30, 18, 160] from Operation: 89+71=160 Current State: 96:[30, 18, 160], Operations: ['89+71=160'] Exploring Operation: 18*160=2880, Resulting Numbers: [30, 2880] Generated Node #3: [30, 2880] from Operation: 18*160=2880 Current State: 96:[30, 2880], Operations: ['89+71=160', '18*160=2880'] Exploring Operation: 2880/30=96, Resulting Numbers: [96] 96,96 equal: Goal Reached
4
Current State: 96:[89, 30, 71, 18], Operations: [] Exploring Operation: 89-71=18, Resulting Numbers: [30, 18, 18] Generated Node #0,0: 96:[30, 18, 18] Operation: 89-71=18 Exploring Operation: 71-18=53, Resulting Numbers: [89, 30, 53] Generated Node #0,1: 96:[89, 30, 53] Operation: 71-18=53 Exploring Operation: 30+71=101, Resulting Numbers: [89, 18, 101] Generated Node #0,2: 96:[89, 18, 101] Operation: 30+71=101 Moving to Node #0,0 Current State: 96:[30, 18, 18], Operations: ['89-71=18'] Exploring Operation: 30+18=48, Resulting Numbers: [18, 48] Generated Node #0,0,0: 96:[18, 48] Operation: 30+18=48 Exploring Operation: 30-18=12, Resulting Numbers: [18, 12] Generated Node #0,0,1: 96:[18, 12] Operation: 30-18=12 Exploring Operation: 30+18=48, Resulting Numbers: [18, 48] Generated Node #0,0,2: 96:[18, 48] Operation: 30+18=48 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 96:[18, 48], Operations: ['89-71=18', '30+18=48'] Exploring Operation: 18*48=864, Resulting Numbers: [864] 864,96 unequal: No Solution Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,96 unequal: No Solution Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 96:[18, 12], Operations: ['89-71=18', '30-18=12'] Exploring Operation: 18-12=6, Resulting Numbers: [6] 6,96 unequal: No Solution Exploring Operation: 18+12=30, Resulting Numbers: [30] 30,96 unequal: No Solution Exploring Operation: 18*12=216, Resulting Numbers: [216] 216,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 96:[18, 48], Operations: ['89-71=18', '30+18=48'] Exploring Operation: 18+48=66, Resulting Numbers: [66] 66,96 unequal: No Solution Exploring Operation: 18*48=864, Resulting Numbers: [864] 864,96 unequal: No Solution Exploring Operation: 48-18=30, Resulting Numbers: [30] 30,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 96:[89, 30, 53], Operations: ['71-18=53'] Exploring Operation: 53-30=23, Resulting Numbers: [89, 23] Generated Node #0,1,0: 96:[89, 23] Operation: 53-30=23 Exploring Operation: 89-53=36, Resulting Numbers: [30, 36] Generated Node #0,1,1: 96:[30, 36] Operation: 89-53=36 Exploring Operation: 89-30=59, Resulting Numbers: [53, 59] Generated Node #0,1,2: 96:[53, 59] Operation: 89-30=59 Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 96:[30, 36], Operations: ['71-18=53', '89-53=36'] Exploring Operation: 30*36=1080, Resulting Numbers: [1080] 1080,96 unequal: No Solution Exploring Operation: 30+36=66, Resulting Numbers: [66] 66,96 unequal: No Solution Exploring Operation: 36-30=6, Resulting Numbers: [6] 6,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 96:[89, 23], Operations: ['71-18=53', '53-30=23'] Exploring Operation: 89*23=2047, Resulting Numbers: [2047] 2047,96 unequal: No Solution Exploring Operation: 89-23=66, Resulting Numbers: [66] 66,96 unequal: No Solution Exploring Operation: 89+23=112, Resulting Numbers: [112] 112,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 96:[53, 59], Operations: ['71-18=53', '89-30=59'] Exploring Operation: 59-53=6, Resulting Numbers: [6] 6,96 unequal: No Solution Exploring Operation: 53*59=3127, Resulting Numbers: [3127] 3127,96 unequal: No Solution Exploring Operation: 53+59=112, Resulting Numbers: [112] 112,96 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,2 Current State: 96:[89, 18, 101], Operations: ['30+71=101'] Exploring Operation: 89+18=107, Resulting Numbers: [101, 107] Generated Node #0,2,0: 96:[101, 107] Operation: 89+18=107 Exploring Operation: 101-89=12, Resulting Numbers: [18, 12] Generated Node #0,2,1: 96:[18, 12] Operation: 101-89=12 Exploring Operation: 101-18=83, Resulting Numbers: [89, 83] Generated Node #0,2,2: 96:[89, 83] Operation: 101-18=83 Moving to Node #0,2,1 Current State: 96:[18, 12], Operations: ['30+71=101', '101-89=12'] Exploring Operation: 18*12=216, Resulting Numbers: [216] 216,96 unequal: No Solution Exploring Operation: 18+12=30, Resulting Numbers: [30] 30,96 unequal: No Solution Exploring Operation: 18-12=6, Resulting Numbers: [6] 6,96 unequal: No Solution Moving to Node #0,2,0 Current State: 96:[101, 107], Operations: ['30+71=101', '89+18=107'] Exploring Operation: 107-101=6, Resulting Numbers: [6] 6,96 unequal: No Solution Exploring Operation: 101*107=10807, Resulting Numbers: [10807] 10807,96 unequal: No Solution Exploring Operation: 101+107=208, Resulting Numbers: [208] 208,96 unequal: No Solution Moving to Node #0,2,2 Current State: 96:[89, 83], Operations: ['30+71=101', '101-18=83'] Exploring Operation: 89*83=7387, Resulting Numbers: [7387] 7387,96 unequal: No Solution Exploring Operation: 89-83=6, Resulting Numbers: [6] 6,96 unequal: No Solution Exploring Operation: 89+83=172, Resulting Numbers: [172] 172,96 unequal: No Solution No solution found.
0
hs_3
sum_heuristic
[ 66, 43, 65, 37 ]
51
[ "66-43=23", "65-37=28", "23+28=51" ]
Current State: 51:[66, 43, 65, 37], Operations: [] Exploring Operation: 66-43=23, Resulting Numbers: [65, 37, 23] Generated Node #2: [65, 37, 23] from Operation: 66-43=23 Current State: 51:[65, 37, 23], Operations: ['66-43=23'] Exploring Operation: 65-37=28, Resulting Numbers: [23, 28] Generated Node #3: [23, 28] from Operation: 65-37=28 Current State: 51:[23, 28], Operations: ['66-43=23', '65-37=28'] Exploring Operation: 23+28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached
4
Current State: 51:[66, 43, 65, 37], Operations: [] Exploring Operation: 43-37=6, Resulting Numbers: [66, 65, 6] Generated Node #0,0: 51:[66, 65, 6] Operation: 43-37=6 Exploring Operation: 66-43=23, Resulting Numbers: [65, 37, 23] Generated Node #0,1: 51:[65, 37, 23] Operation: 66-43=23 Exploring Operation: 66-65=1, Resulting Numbers: [43, 37, 1] Generated Node #0,2: 51:[43, 37, 1] Operation: 66-65=1 Exploring Operation: 66-37=29, Resulting Numbers: [43, 65, 29] Generated Node #0,3: 51:[43, 65, 29] Operation: 66-37=29 Exploring Operation: 65-43=22, Resulting Numbers: [66, 37, 22] Generated Node #0,4: 51:[66, 37, 22] Operation: 65-43=22 Start Sub Search at level 1: Moving to Node #0,2 Current State: 51:[43, 37, 1], Operations: ['66-65=1'] Exploring Operation: 43*1=43, Resulting Numbers: [37, 43] Generated Node #0,2,0: 51:[37, 43] Operation: 43*1=43 Exploring Operation: 43-37=6, Resulting Numbers: [1, 6] Generated Node #0,2,1: 51:[1, 6] Operation: 43-37=6 Exploring Operation: 37+1=38, Resulting Numbers: [43, 38] Generated Node #0,2,2: 51:[43, 38] Operation: 37+1=38 Exploring Operation: 43+1=44, Resulting Numbers: [37, 44] Generated Node #0,2,3: 51:[37, 44] Operation: 43+1=44 Exploring Operation: 43/1=43, Resulting Numbers: [37, 43] Generated Node #0,2,4: 51:[37, 43] Operation: 43/1=43 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 51:[1, 6], Operations: ['66-65=1', '43-37=6'] Exploring Operation: 1*6=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 1+6=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 51:[43, 38], Operations: ['66-65=1', '37+1=38'] Exploring Operation: 43+38=81, Resulting Numbers: [81] 81,51 unequal: No Solution Exploring Operation: 43*38=1634, Resulting Numbers: [1634] 1634,51 unequal: No Solution Exploring Operation: 43-38=5, Resulting Numbers: [5] 5,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 51:[37, 44], Operations: ['66-65=1', '43+1=44'] Exploring Operation: 37*44=1628, Resulting Numbers: [1628] 1628,51 unequal: No Solution Exploring Operation: 37+44=81, Resulting Numbers: [81] 81,51 unequal: No Solution Exploring Operation: 44-37=7, Resulting Numbers: [7] 7,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 51:[37, 43], Operations: ['66-65=1', '43*1=43'] Exploring Operation: 43-37=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 37*43=1591, Resulting Numbers: [1591] 1591,51 unequal: No Solution Exploring Operation: 37+43=80, Resulting Numbers: [80] 80,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 51:[37, 43], Operations: ['66-65=1', '43/1=43'] Exploring Operation: 37+43=80, Resulting Numbers: [80] 80,51 unequal: No Solution Exploring Operation: 43-37=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 37*43=1591, Resulting Numbers: [1591] 1591,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 51:[66, 65, 6], Operations: ['43-37=6'] Exploring Operation: 66-65=1, Resulting Numbers: [6, 1] Generated Node #0,0,0: 51:[6, 1] Operation: 66-65=1 Exploring Operation: 66/6=11, Resulting Numbers: [65, 11] Generated Node #0,0,1: 51:[65, 11] Operation: 66/6=11 Exploring Operation: 66+6=72, Resulting Numbers: [65, 72] Generated Node #0,0,2: 51:[65, 72] Operation: 66+6=72 Exploring Operation: 66-6=60, Resulting Numbers: [65, 60] Generated Node #0,0,3: 51:[65, 60] Operation: 66-6=60 Exploring Operation: 65-6=59, Resulting Numbers: [66, 59] Generated Node #0,0,4: 51:[66, 59] Operation: 65-6=59 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 51:[6, 1], Operations: ['43-37=6', '66-65=1'] Exploring Operation: 6+1=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 6-1=5, Resulting Numbers: [5] 5,51 unequal: No Solution Exploring Operation: 6/1=6, Resulting Numbers: [6] 6,51 unequal: No Solution Exploring Operation: 6*1=6, Resulting Numbers: [6] 6,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 51:[65, 11], Operations: ['43-37=6', '66/6=11'] Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,51 unequal: No Solution Exploring Operation: 65*11=715, Resulting Numbers: [715] 715,51 unequal: No Solution Exploring Operation: 65+11=76, Resulting Numbers: [76] 76,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 51:[65, 60], Operations: ['43-37=6', '66-6=60'] Exploring Operation: 65-60=5, Resulting Numbers: [5] 5,51 unequal: No Solution Exploring Operation: 65+60=125, Resulting Numbers: [125] 125,51 unequal: No Solution Exploring Operation: 65*60=3900, Resulting Numbers: [3900] 3900,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,4 Current State: 51:[66, 59], Operations: ['43-37=6', '65-6=59'] Exploring Operation: 66+59=125, Resulting Numbers: [125] 125,51 unequal: No Solution Exploring Operation: 66*59=3894, Resulting Numbers: [3894] 3894,51 unequal: No Solution Exploring Operation: 66-59=7, Resulting Numbers: [7] 7,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 51:[65, 72], Operations: ['43-37=6', '66+6=72'] Exploring Operation: 65*72=4680, Resulting Numbers: [4680] 4680,51 unequal: No Solution Exploring Operation: 72-65=7, Resulting Numbers: [7] 7,51 unequal: No Solution Exploring Operation: 65+72=137, Resulting Numbers: [137] 137,51 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 51:[65, 37, 23], Operations: ['66-43=23'] Exploring Operation: 65-37=28, Resulting Numbers: [23, 28] Generated Node #0,1,0: 51:[23, 28] Operation: 65-37=28 Exploring Operation: 65-23=42, Resulting Numbers: [37, 42] Generated Node #0,1,1: 51:[37, 42] Operation: 65-23=42 Exploring Operation: 37+23=60, Resulting Numbers: [65, 60] Generated Node #0,1,2: 51:[65, 60] Operation: 37+23=60 Exploring Operation: 65+23=88, Resulting Numbers: [37, 88] Generated Node #0,1,3: 51:[37, 88] Operation: 65+23=88 Exploring Operation: 37-23=14, Resulting Numbers: [65, 14] Generated Node #0,1,4: 51:[65, 14] Operation: 37-23=14 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 51:[23, 28], Operations: ['66-43=23', '65-37=28'] Exploring Operation: 28-23=5, Resulting Numbers: [5] 5,51 unequal: No Solution Exploring Operation: 23*28=644, Resulting Numbers: [644] 644,51 unequal: No Solution Exploring Operation: 23+28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Moving to Node #0 Current State: 51:[66, 43, 65, 37], Operations: [] Exploring Operation: 66-43=23, Resulting Numbers: [65, 37, 23] Generated Node #0,1: 51:[65, 37, 23] Operation: 66-43=23 Moving to Node #0,1 Current State: 51:[65, 37, 23], Operations: ['66-43=23'] Exploring Operation: 65-37=28, Resulting Numbers: [23, 28] Generated Node #0,1,0: 51:[23, 28] Operation: 65-37=28 Moving to Node #0,1,0 Current State: 51:[23, 28], Operations: ['66-43=23', '65-37=28'] Exploring Operation: 23+28=51, Resulting Numbers: [51] 51,51 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.948785
hs_5
mult_heuristic
[ 22, 3, 93, 60 ]
73
[ "93+60=153", "153/3=51", "22+51=73" ]
Current State: 73:[22, 3, 93, 60], Operations: [] Exploring Operation: 93+60=153, Resulting Numbers: [22, 3, 153] Generated Node #2: [22, 3, 153] from Operation: 93+60=153 Current State: 73:[22, 3, 153], Operations: ['93+60=153'] Exploring Operation: 153/3=51, Resulting Numbers: [22, 51] Generated Node #3: [22, 51] from Operation: 153/3=51 Current State: 73:[22, 51], Operations: ['93+60=153', '153/3=51'] Exploring Operation: 22+51=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[22, 3, 93, 60], Operations: [] Exploring Operation: 22*3=66, Resulting Numbers: [93, 60, 66] Generated Node #0,0: 73:[93, 60, 66] Operation: 22*3=66 Moving to Node #0,0 Current State: 73:[93, 60, 66], Operations: ['22*3=66'] Exploring Operation: 93-60=33, Resulting Numbers: [66, 33] Generated Node #0,0,0: 73:[66, 33] Operation: 93-60=33 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 73:[66, 33], Operations: ['22*3=66', '93-60=33'] Exploring Operation: 66+33=99, Resulting Numbers: [99] 99,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 57, 28, 82, 30 ]
82
[ "57-28=29", "30-29=1", "82*1=82" ]
Current State: 82:[57, 28, 82, 30], Operations: [] Exploring Operation: 57-28=29, Resulting Numbers: [82, 30, 29] Generated Node #2: [82, 30, 29] from Operation: 57-28=29 Current State: 82:[82, 30, 29], Operations: ['57-28=29'] Exploring Operation: 30-29=1, Resulting Numbers: [82, 1] Generated Node #3: [82, 1] from Operation: 30-29=1 Current State: 82:[82, 1], Operations: ['57-28=29', '30-29=1'] Exploring Operation: 82*1=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[57, 28, 82, 30], Operations: [] Exploring Operation: 57+28=85, Resulting Numbers: [82, 30, 85] Generated Node #0,0: 82:[82, 30, 85] Operation: 57+28=85 Exploring Operation: 30-28=2, Resulting Numbers: [57, 82, 2] Generated Node #0,1: 82:[57, 82, 2] Operation: 30-28=2 Start Sub Search at level 1: Moving to Node #0,0 Current State: 82:[82, 30, 85], Operations: ['57+28=85'] Exploring Operation: 85-82=3, Resulting Numbers: [30, 3] Generated Node #0,0,0: 82:[30, 3] Operation: 85-82=3 Exploring Operation: 82-30=52, Resulting Numbers: [85, 52] Generated Node #0,0,1: 82:[85, 52] Operation: 82-30=52 Moving to Node #0,0,0 Current State: 82:[30, 3], Operations: ['57+28=85', '85-82=3'] Exploring Operation: 30+3=33, Resulting Numbers: [33] 33,82 unequal: No Solution Exploring Operation: 30*3=90, Resulting Numbers: [90] 90,82 unequal: No Solution Moving to Node #0,0,1 Current State: 82:[85, 52], Operations: ['57+28=85', '82-30=52'] Exploring Operation: 85+52=137, Resulting Numbers: [137] 137,82 unequal: No Solution Exploring Operation: 85-52=33, Resulting Numbers: [33] 33,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 82:[57, 82, 2], Operations: ['30-28=2'] Exploring Operation: 57-2=55, Resulting Numbers: [82, 55] Generated Node #0,1,0: 82:[82, 55] Operation: 57-2=55 Exploring Operation: 82-57=25, Resulting Numbers: [2, 25] Generated Node #0,1,1: 82:[2, 25] Operation: 82-57=25 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 82:[82, 55], Operations: ['30-28=2', '57-2=55'] Exploring Operation: 82+55=137, Resulting Numbers: [137] 137,82 unequal: No Solution Exploring Operation: 82-55=27, Resulting Numbers: [27] 27,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 82:[2, 25], Operations: ['30-28=2', '82-57=25'] Exploring Operation: 2+25=27, Resulting Numbers: [27] 27,82 unequal: No Solution Exploring Operation: 2*25=50, Resulting Numbers: [50] 50,82 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 8, 58, 17, 93 ]
21
[ "58+17=75", "93+75=168", "168/8=21" ]
Current State: 21:[8, 58, 17, 93], Operations: [] Exploring Operation: 58+17=75, Resulting Numbers: [8, 93, 75] Generated Node #2: [8, 93, 75] from Operation: 58+17=75 Current State: 21:[8, 93, 75], Operations: ['58+17=75'] Exploring Operation: 93+75=168, Resulting Numbers: [8, 168] Generated Node #3: [8, 168] from Operation: 93+75=168 Current State: 21:[8, 168], Operations: ['58+17=75', '93+75=168'] Exploring Operation: 168/8=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[8, 58, 17, 93], Operations: [] Exploring Operation: 58-8=50, Resulting Numbers: [17, 93, 50] Generated Node #0,0: 21:[17, 93, 50] Operation: 58-8=50 Exploring Operation: 93-17=76, Resulting Numbers: [8, 58, 76] Generated Node #0,1: 21:[8, 58, 76] Operation: 93-17=76 Exploring Operation: 93-58=35, Resulting Numbers: [8, 17, 35] Generated Node #0,2: 21:[8, 17, 35] Operation: 93-58=35 Exploring Operation: 58-17=41, Resulting Numbers: [8, 93, 41] Generated Node #0,3: 21:[8, 93, 41] Operation: 58-17=41 Moving to Node #0,2 Current State: 21:[8, 17, 35], Operations: ['93-58=35'] Exploring Operation: 8+17=25, Resulting Numbers: [35, 25] Generated Node #0,2,0: 21:[35, 25] Operation: 8+17=25 Exploring Operation: 35-8=27, Resulting Numbers: [17, 27] Generated Node #0,2,1: 21:[17, 27] Operation: 35-8=27 Exploring Operation: 35-17=18, Resulting Numbers: [8, 18] Generated Node #0,2,2: 21:[8, 18] Operation: 35-17=18 Exploring Operation: 17-8=9, Resulting Numbers: [35, 9] Generated Node #0,2,3: 21:[35, 9] Operation: 17-8=9 Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 21:[8, 18], Operations: ['93-58=35', '35-17=18'] Exploring Operation: 8*18=144, Resulting Numbers: [144] 144,21 unequal: No Solution Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,21 unequal: No Solution Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 21:[17, 27], Operations: ['93-58=35', '35-8=27'] Exploring Operation: 17+27=44, Resulting Numbers: [44] 44,21 unequal: No Solution Exploring Operation: 17*27=459, Resulting Numbers: [459] 459,21 unequal: No Solution Exploring Operation: 27-17=10, Resulting Numbers: [10] 10,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 21:[35, 9], Operations: ['93-58=35', '17-8=9'] Exploring Operation: 35+9=44, Resulting Numbers: [44] 44,21 unequal: No Solution Exploring Operation: 35-9=26, Resulting Numbers: [26] 26,21 unequal: No Solution Exploring Operation: 35*9=315, Resulting Numbers: [315] 315,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 21:[35, 25], Operations: ['93-58=35', '8+17=25'] Exploring Operation: 35-25=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 35+25=60, Resulting Numbers: [60] 60,21 unequal: No Solution Exploring Operation: 35*25=875, Resulting Numbers: [875] 875,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 21:[8, 93, 41], Operations: ['58-17=41'] Exploring Operation: 93-41=52, Resulting Numbers: [8, 52] Generated Node #0,3,0: 21:[8, 52] Operation: 93-41=52 Exploring Operation: 41-8=33, Resulting Numbers: [93, 33] Generated Node #0,3,1: 21:[93, 33] Operation: 41-8=33 Exploring Operation: 8+93=101, Resulting Numbers: [41, 101] Generated Node #0,3,2: 21:[41, 101] Operation: 8+93=101 Exploring Operation: 93-8=85, Resulting Numbers: [41, 85] Generated Node #0,3,3: 21:[41, 85] Operation: 93-8=85 Start Sub Search at level 1: Moving to Node #0,3,0 Current State: 21:[8, 52], Operations: ['58-17=41', '93-41=52'] Exploring Operation: 8+52=60, Resulting Numbers: [60] 60,21 unequal: No Solution Exploring Operation: 52-8=44, Resulting Numbers: [44] 44,21 unequal: No Solution Exploring Operation: 8*52=416, Resulting Numbers: [416] 416,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 21:[93, 33], Operations: ['58-17=41', '41-8=33'] Exploring Operation: 93*33=3069, Resulting Numbers: [3069] 3069,21 unequal: No Solution Exploring Operation: 93-33=60, Resulting Numbers: [60] 60,21 unequal: No Solution Exploring Operation: 93+33=126, Resulting Numbers: [126] 126,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,3 Current State: 21:[41, 85], Operations: ['58-17=41', '93-8=85'] Exploring Operation: 41*85=3485, Resulting Numbers: [3485] 3485,21 unequal: No Solution Exploring Operation: 85-41=44, Resulting Numbers: [44] 44,21 unequal: No Solution Exploring Operation: 41+85=126, Resulting Numbers: [126] 126,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 21:[41, 101], Operations: ['58-17=41', '8+93=101'] Exploring Operation: 41*101=4141, Resulting Numbers: [4141] 4141,21 unequal: No Solution Exploring Operation: 41+101=142, Resulting Numbers: [142] 142,21 unequal: No Solution Exploring Operation: 101-41=60, Resulting Numbers: [60] 60,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 21:[8, 58, 76], Operations: ['93-17=76'] Exploring Operation: 76-8=68, Resulting Numbers: [58, 68] Generated Node #0,1,0: 21:[58, 68] Operation: 76-8=68 Exploring Operation: 58-8=50, Resulting Numbers: [76, 50] Generated Node #0,1,1: 21:[76, 50] Operation: 58-8=50 Exploring Operation: 8+58=66, Resulting Numbers: [76, 66] Generated Node #0,1,2: 21:[76, 66] Operation: 8+58=66 Exploring Operation: 76-58=18, Resulting Numbers: [8, 18] Generated Node #0,1,3: 21:[8, 18] Operation: 76-58=18 Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 21:[8, 18], Operations: ['93-17=76', '76-58=18'] Exploring Operation: 8*18=144, Resulting Numbers: [144] 144,21 unequal: No Solution Exploring Operation: 8+18=26, Resulting Numbers: [26] 26,21 unequal: No Solution Exploring Operation: 18-8=10, Resulting Numbers: [10] 10,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 21:[58, 68], Operations: ['93-17=76', '76-8=68'] Exploring Operation: 58+68=126, Resulting Numbers: [126] 126,21 unequal: No Solution Exploring Operation: 68-58=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 58*68=3944, Resulting Numbers: [3944] 3944,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 21:[76, 50], Operations: ['93-17=76', '58-8=50'] Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,21 unequal: No Solution Exploring Operation: 76*50=3800, Resulting Numbers: [3800] 3800,21 unequal: No Solution Exploring Operation: 76+50=126, Resulting Numbers: [126] 126,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 21:[76, 66], Operations: ['93-17=76', '8+58=66'] Exploring Operation: 76-66=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 76*66=5016, Resulting Numbers: [5016] 5016,21 unequal: No Solution Exploring Operation: 76+66=142, Resulting Numbers: [142] 142,21 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,0 Current State: 21:[17, 93, 50], Operations: ['58-8=50'] Exploring Operation: 50-17=33, Resulting Numbers: [93, 33] Generated Node #0,0,0: 21:[93, 33] Operation: 50-17=33 Exploring Operation: 93-50=43, Resulting Numbers: [17, 43] Generated Node #0,0,1: 21:[17, 43] Operation: 93-50=43 Exploring Operation: 93-17=76, Resulting Numbers: [50, 76] Generated Node #0,0,2: 21:[50, 76] Operation: 93-17=76 Exploring Operation: 17+93=110, Resulting Numbers: [50, 110] Generated Node #0,0,3: 21:[50, 110] Operation: 17+93=110 Moving to Node #0,0,1 Current State: 21:[17, 43], Operations: ['58-8=50', '93-50=43'] Exploring Operation: 43-17=26, Resulting Numbers: [26] 26,21 unequal: No Solution Exploring Operation: 17*43=731, Resulting Numbers: [731] 731,21 unequal: No Solution Exploring Operation: 17+43=60, Resulting Numbers: [60] 60,21 unequal: No Solution Moving to Node #0,0,2 Current State: 21:[50, 76], Operations: ['58-8=50', '93-17=76'] Exploring Operation: 50+76=126, Resulting Numbers: [126] 126,21 unequal: No Solution Exploring Operation: 50*76=3800, Resulting Numbers: [3800] 3800,21 unequal: No Solution Exploring Operation: 76-50=26, Resulting Numbers: [26] 26,21 unequal: No Solution Moving to Node #0,0,0 Current State: 21:[93, 33], Operations: ['58-8=50', '50-17=33'] Exploring Operation: 93+33=126, Resulting Numbers: [126] 126,21 unequal: No Solution Exploring Operation: 93*33=3069, Resulting Numbers: [3069] 3069,21 unequal: No Solution Exploring Operation: 93-33=60, Resulting Numbers: [60] 60,21 unequal: No Solution Moving to Node #0,0,3 Current State: 21:[50, 110], Operations: ['58-8=50', '17+93=110'] Exploring Operation: 110-50=60, Resulting Numbers: [60] 60,21 unequal: No Solution Exploring Operation: 50*110=5500, Resulting Numbers: [5500] 5500,21 unequal: No Solution Exploring Operation: 50+110=160, Resulting Numbers: [160] 160,21 unequal: No Solution No solution found.
0
hs_4
mult_heuristic
[ 5, 19, 14, 70 ]
47
[ "70/5=14", "19+14=33", "14+33=47" ]
Current State: 47:[5, 19, 14, 70], Operations: [] Exploring Operation: 70/5=14, Resulting Numbers: [19, 14, 14] Generated Node #2: [19, 14, 14] from Operation: 70/5=14 Current State: 47:[19, 14, 14], Operations: ['70/5=14'] Exploring Operation: 19+14=33, Resulting Numbers: [33] 33,47 equal: Goal Reached Exploring Operation: 14+33=47, Resulting Numbers: [47] 47,47 equal: Goal Reached
4
Current State: 47:[5, 19, 14, 70], Operations: [] Exploring Operation: 5+14=19, Resulting Numbers: [19, 70, 19] Generated Node #0,0: 47:[19, 70, 19] Operation: 5+14=19 Exploring Operation: 5*14=70, Resulting Numbers: [19, 70, 70] Generated Node #0,1: 47:[19, 70, 70] Operation: 5*14=70 Exploring Operation: 70-5=65, Resulting Numbers: [19, 14, 65] Generated Node #0,2: 47:[19, 14, 65] Operation: 70-5=65 Exploring Operation: 5+19=24, Resulting Numbers: [14, 70, 24] Generated Node #0,3: 47:[14, 70, 24] Operation: 5+19=24 Start Sub Search at level 1: Moving to Node #0,1 Current State: 47:[19, 70, 70], Operations: ['5*14=70'] Exploring Operation: 70-19=51, Resulting Numbers: [70, 51] Generated Node #0,1,0: 47:[70, 51] Operation: 70-19=51 Exploring Operation: 19+70=89, Resulting Numbers: [70, 89] Generated Node #0,1,1: 47:[70, 89] Operation: 19+70=89 Exploring Operation: 19+70=89, Resulting Numbers: [70, 89] Generated Node #0,1,2: 47:[70, 89] Operation: 19+70=89 Exploring Operation: 70-19=51, Resulting Numbers: [70, 51] Generated Node #0,1,3: 47:[70, 51] Operation: 70-19=51 Start Sub Search at level 2: Moving to Node #0,1,0 Current State: 47:[70, 51], Operations: ['5*14=70', '70-19=51'] Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,47 unequal: No Solution Exploring Operation: 70+51=121, Resulting Numbers: [121] 121,47 unequal: No Solution Exploring Operation: 70*51=3570, Resulting Numbers: [3570] 3570,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,3 Current State: 47:[70, 51], Operations: ['5*14=70', '70-19=51'] Exploring Operation: 70+51=121, Resulting Numbers: [121] 121,47 unequal: No Solution Exploring Operation: 70-51=19, Resulting Numbers: [19] 19,47 unequal: No Solution Exploring Operation: 70*51=3570, Resulting Numbers: [3570] 3570,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 47:[70, 89], Operations: ['5*14=70', '19+70=89'] Exploring Operation: 70+89=159, Resulting Numbers: [159] 159,47 unequal: No Solution Exploring Operation: 70*89=6230, Resulting Numbers: [6230] 6230,47 unequal: No Solution Exploring Operation: 89-70=19, Resulting Numbers: [19] 19,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,1,2 Current State: 47:[70, 89], Operations: ['5*14=70', '19+70=89'] Exploring Operation: 89-70=19, Resulting Numbers: [19] 19,47 unequal: No Solution Exploring Operation: 70*89=6230, Resulting Numbers: [6230] 6230,47 unequal: No Solution Exploring Operation: 70+89=159, Resulting Numbers: [159] 159,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 47:[19, 70, 19], Operations: ['5+14=19'] Exploring Operation: 70-19=51, Resulting Numbers: [19, 51] Generated Node #0,0,0: 47:[19, 51] Operation: 70-19=51 Exploring Operation: 19+19=38, Resulting Numbers: [70, 38] Generated Node #0,0,1: 47:[70, 38] Operation: 19+19=38 Exploring Operation: 19/19=1, Resulting Numbers: [70, 1] Generated Node #0,0,2: 47:[70, 1] Operation: 19/19=1 Exploring Operation: 70-19=51, Resulting Numbers: [19, 51] Generated Node #0,0,3: 47:[19, 51] Operation: 70-19=51 Moving to Node #0,0,0 Current State: 47:[19, 51], Operations: ['5+14=19', '70-19=51'] Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,47 unequal: No Solution Exploring Operation: 19*51=969, Resulting Numbers: [969] 969,47 unequal: No Solution Exploring Operation: 19+51=70, Resulting Numbers: [70] 70,47 unequal: No Solution Moving to Node #0,0,3 Current State: 47:[19, 51], Operations: ['5+14=19', '70-19=51'] Exploring Operation: 19*51=969, Resulting Numbers: [969] 969,47 unequal: No Solution Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,47 unequal: No Solution Exploring Operation: 19+51=70, Resulting Numbers: [70] 70,47 unequal: No Solution Moving to Node #0,0,1 Current State: 47:[70, 38], Operations: ['5+14=19', '19+19=38'] Exploring Operation: 70+38=108, Resulting Numbers: [108] 108,47 unequal: No Solution Exploring Operation: 70*38=2660, Resulting Numbers: [2660] 2660,47 unequal: No Solution Exploring Operation: 70-38=32, Resulting Numbers: [32] 32,47 unequal: No Solution Moving to Node #0,0,2 Current State: 47:[70, 1], Operations: ['5+14=19', '19/19=1'] Exploring Operation: 70*1=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 70/1=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,47 unequal: No Solution Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 47:[19, 14, 65], Operations: ['70-5=65'] Exploring Operation: 65-14=51, Resulting Numbers: [19, 51] Generated Node #0,2,0: 47:[19, 51] Operation: 65-14=51 Exploring Operation: 19-14=5, Resulting Numbers: [65, 5] Generated Node #0,2,1: 47:[65, 5] Operation: 19-14=5 Exploring Operation: 65-19=46, Resulting Numbers: [14, 46] Generated Node #0,2,2: 47:[14, 46] Operation: 65-19=46 Exploring Operation: 19+14=33, Resulting Numbers: [65, 33] Generated Node #0,2,3: 47:[65, 33] Operation: 19+14=33 Moving to Node #0,2,0 Current State: 47:[19, 51], Operations: ['70-5=65', '65-14=51'] Exploring Operation: 51-19=32, Resulting Numbers: [32] 32,47 unequal: No Solution Exploring Operation: 19+51=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 19*51=969, Resulting Numbers: [969] 969,47 unequal: No Solution Moving to Node #0,2,3 Current State: 47:[65, 33], Operations: ['70-5=65', '19+14=33'] Exploring Operation: 65*33=2145, Resulting Numbers: [2145] 2145,47 unequal: No Solution Exploring Operation: 65+33=98, Resulting Numbers: [98] 98,47 unequal: No Solution Exploring Operation: 65-33=32, Resulting Numbers: [32] 32,47 unequal: No Solution Moving to Node #0,2,2 Current State: 47:[14, 46], Operations: ['70-5=65', '65-19=46'] Exploring Operation: 14*46=644, Resulting Numbers: [644] 644,47 unequal: No Solution Exploring Operation: 14+46=60, Resulting Numbers: [60] 60,47 unequal: No Solution Exploring Operation: 46-14=32, Resulting Numbers: [32] 32,47 unequal: No Solution Moving to Node #0,2,1 Current State: 47:[65, 5], Operations: ['70-5=65', '19-14=5'] Exploring Operation: 65/5=13, Resulting Numbers: [13] 13,47 unequal: No Solution Exploring Operation: 65+5=70, Resulting Numbers: [70] 70,47 unequal: No Solution Exploring Operation: 65*5=325, Resulting Numbers: [325] 325,47 unequal: No Solution Exploring Operation: 65-5=60, Resulting Numbers: [60] 60,47 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 47:[14, 70, 24], Operations: ['5+19=24'] Exploring Operation: 14+70=84, Resulting Numbers: [24, 84] Generated Node #0,3,0: 47:[24, 84] Operation: 14+70=84 Exploring Operation: 14+24=38, Resulting Numbers: [70, 38] Generated Node #0,3,1: 47:[70, 38] Operation: 14+24=38 Exploring Operation: 70-24=46, Resulting Numbers: [14, 46] Generated Node #0,3,2: 47:[14, 46] Operation: 70-24=46 Exploring Operation: 70-14=56, Resulting Numbers: [24, 56] Generated Node #0,3,3: 47:[24, 56] Operation: 70-14=56 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 47:[70, 38], Operations: ['5+19=24', '14+24=38'] Exploring Operation: 70*38=2660, Resulting Numbers: [2660] 2660,47 unequal: No Solution Exploring Operation: 70+38=108, Resulting Numbers: [108] 108,47 unequal: No Solution Exploring Operation: 70-38=32, Resulting Numbers: [32] 32,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 47:[24, 56], Operations: ['5+19=24', '70-14=56'] Exploring Operation: 56-24=32, Resulting Numbers: [32] 32,47 unequal: No Solution Exploring Operation: 24+56=80, Resulting Numbers: [80] 80,47 unequal: No Solution Exploring Operation: 24*56=1344, Resulting Numbers: [1344] 1344,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 47:[14, 46], Operations: ['5+19=24', '70-24=46'] Exploring Operation: 46-14=32, Resulting Numbers: [32] 32,47 unequal: No Solution Exploring Operation: 14*46=644, Resulting Numbers: [644] 644,47 unequal: No Solution Exploring Operation: 14+46=60, Resulting Numbers: [60] 60,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 47:[24, 84], Operations: ['5+19=24', '14+70=84'] Exploring Operation: 84-24=60, Resulting Numbers: [60] 60,47 unequal: No Solution Exploring Operation: 24*84=2016, Resulting Numbers: [2016] 2016,47 unequal: No Solution Exploring Operation: 24+84=108, Resulting Numbers: [108] 108,47 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
mult_heuristic
[ 84, 23, 38, 36 ]
24
[ "23*36=828", "84+828=912", "912/38=24" ]
Current State: 24:[84, 23, 38, 36], Operations: [] Exploring Operation: 23*36=828, Resulting Numbers: [84, 38, 828] Generated Node #2: [84, 38, 828] from Operation: 23*36=828 Current State: 24:[84, 38, 828], Operations: ['23*36=828'] Exploring Operation: 84+828=912, Resulting Numbers: [38, 912] Generated Node #3: [38, 912] from Operation: 84+828=912 Current State: 24:[38, 912], Operations: ['23*36=828', '84+828=912'] Exploring Operation: 912/38=24, Resulting Numbers: [24] 24,24 equal: Goal Reached
4
Current State: 24:[84, 23, 38, 36], Operations: [] Exploring Operation: 84-38=46, Resulting Numbers: [23, 36, 46] Generated Node #0,0: 24:[23, 36, 46] Operation: 84-38=46 Exploring Operation: 84-36=48, Resulting Numbers: [23, 38, 48] Generated Node #0,1: 24:[23, 38, 48] Operation: 84-36=48 Start Sub Search at level 1: Moving to Node #0,0 Current State: 24:[23, 36, 46], Operations: ['84-38=46'] Exploring Operation: 46/23=2, Resulting Numbers: [36, 2] Generated Node #0,0,0: 24:[36, 2] Operation: 46/23=2 Exploring Operation: 46-36=10, Resulting Numbers: [23, 10] Generated Node #0,0,1: 24:[23, 10] Operation: 46-36=10 Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 24:[23, 10], Operations: ['84-38=46', '46-36=10'] Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,24 unequal: No Solution Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,24 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 24:[36, 2], Operations: ['84-38=46', '46/23=2'] Exploring Operation: 36/2=18, Resulting Numbers: [18] 18,24 unequal: No Solution Exploring Operation: 36-2=34, Resulting Numbers: [34] 34,24 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 24:[23, 38, 48], Operations: ['84-36=48'] Exploring Operation: 48-23=25, Resulting Numbers: [38, 25] Generated Node #0,1,0: 24:[38, 25] Operation: 48-23=25 Exploring Operation: 48-38=10, Resulting Numbers: [23, 10] Generated Node #0,1,1: 24:[23, 10] Operation: 48-38=10 Moving to Node #0,1,1 Current State: 24:[23, 10], Operations: ['84-36=48', '48-38=10'] Exploring Operation: 23-10=13, Resulting Numbers: [13] 13,24 unequal: No Solution Exploring Operation: 23+10=33, Resulting Numbers: [33] 33,24 unequal: No Solution Moving to Node #0,1,0 Current State: 24:[38, 25], Operations: ['84-36=48', '48-23=25'] Exploring Operation: 38-25=13, Resulting Numbers: [13] 13,24 unequal: No Solution Exploring Operation: 38+25=63, Resulting Numbers: [63] 63,24 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
sum_heuristic
[ 7, 5, 53, 6 ]
71
[ "7+5=12", "53+6=59", "12+59=71" ]
Current State: 71:[7, 5, 53, 6], Operations: [] Exploring Operation: 7+5=12, Resulting Numbers: [53, 6, 12] Generated Node #2: [53, 6, 12] from Operation: 7+5=12 Current State: 71:[53, 6, 12], Operations: ['7+5=12'] Exploring Operation: 53+6=59, Resulting Numbers: [12, 59] Generated Node #3: [12, 59] from Operation: 53+6=59 Current State: 71:[12, 59], Operations: ['7+5=12', '53+6=59'] Exploring Operation: 12+59=71, Resulting Numbers: [71] 71,71 equal: Goal Reached
4
Current State: 71:[7, 5, 53, 6], Operations: [] Exploring Operation: 7*6=42, Resulting Numbers: [5, 53, 42] Generated Node #0,0: 71:[5, 53, 42] Operation: 7*6=42 Start Sub Search at level 1: Moving to Node #0,0 Current State: 71:[5, 53, 42], Operations: ['7*6=42'] Exploring Operation: 5+53=58, Resulting Numbers: [42, 58] Generated Node #0,0,0: 71:[42, 58] Operation: 5+53=58 Moving to Node #0,0,0 Current State: 71:[42, 58], Operations: ['7*6=42', '5+53=58'] Exploring Operation: 42+58=100, Resulting Numbers: [100] 100,71 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
mult_heuristic
[ 71, 17, 48, 60 ]
53
[ "71+48=119", "119/17=7", "60-7=53" ]
Current State: 53:[71, 17, 48, 60], Operations: [] Exploring Operation: 71+48=119, Resulting Numbers: [17, 60, 119] Generated Node #2: [17, 60, 119] from Operation: 71+48=119 Current State: 53:[17, 60, 119], Operations: ['71+48=119'] Exploring Operation: 119/17=7, Resulting Numbers: [60, 7] Generated Node #3: [60, 7] from Operation: 119/17=7 Current State: 53:[60, 7], Operations: ['71+48=119', '119/17=7'] Exploring Operation: 60-7=53, Resulting Numbers: [53] 53,53 equal: Goal Reached
4
Current State: 53:[71, 17, 48, 60], Operations: [] Exploring Operation: 48-17=31, Resulting Numbers: [71, 60, 31] Generated Node #0,0: 53:[71, 60, 31] Operation: 48-17=31 Exploring Operation: 71-17=54, Resulting Numbers: [48, 60, 54] Generated Node #0,1: 53:[48, 60, 54] Operation: 71-17=54 Exploring Operation: 60-17=43, Resulting Numbers: [71, 48, 43] Generated Node #0,2: 53:[71, 48, 43] Operation: 60-17=43 Exploring Operation: 17+48=65, Resulting Numbers: [71, 60, 65] Generated Node #0,3: 53:[71, 60, 65] Operation: 17+48=65 Exploring Operation: 71+17=88, Resulting Numbers: [48, 60, 88] Generated Node #0,4: 53:[48, 60, 88] Operation: 71+17=88 Start Sub Search at level 1: Moving to Node #0,1 Current State: 53:[48, 60, 54], Operations: ['71-17=54'] Exploring Operation: 60-48=12, Resulting Numbers: [54, 12] Generated Node #0,1,0: 53:[54, 12] Operation: 60-48=12 Exploring Operation: 54-48=6, Resulting Numbers: [60, 6] Generated Node #0,1,1: 53:[60, 6] Operation: 54-48=6 Exploring Operation: 48+60=108, Resulting Numbers: [54, 108] Generated Node #0,1,2: 53:[54, 108] Operation: 48+60=108 Exploring Operation: 48+54=102, Resulting Numbers: [60, 102] Generated Node #0,1,3: 53:[60, 102] Operation: 48+54=102 Exploring Operation: 60-54=6, Resulting Numbers: [48, 6] Generated Node #0,1,4: 53:[48, 6] Operation: 60-54=6 Moving to Node #0,1,0 Current State: 53:[54, 12], Operations: ['71-17=54', '60-48=12'] Exploring Operation: 54-12=42, Resulting Numbers: [42] 42,53 unequal: No Solution Exploring Operation: 54+12=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 54*12=648, Resulting Numbers: [648] 648,53 unequal: No Solution Moving to Node #0,1,4 Current State: 53:[48, 6], Operations: ['71-17=54', '60-54=6'] Exploring Operation: 48/6=8, Resulting Numbers: [8] 8,53 unequal: No Solution Exploring Operation: 48-6=42, Resulting Numbers: [42] 42,53 unequal: No Solution Exploring Operation: 48+6=54, Resulting Numbers: [54] 54,53 unequal: No Solution Exploring Operation: 48*6=288, Resulting Numbers: [288] 288,53 unequal: No Solution Moving to Node #0,1,1 Current State: 53:[60, 6], Operations: ['71-17=54', '54-48=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,53 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 60*6=360, Resulting Numbers: [360] 360,53 unequal: No Solution Moving to Node #0,1,2 Current State: 53:[54, 108], Operations: ['71-17=54', '48+60=108'] Exploring Operation: 54+108=162, Resulting Numbers: [162] 162,53 unequal: No Solution Exploring Operation: 54*108=5832, Resulting Numbers: [5832] 5832,53 unequal: No Solution Exploring Operation: 108-54=54, Resulting Numbers: [54] 54,53 unequal: No Solution Exploring Operation: 108/54=2, Resulting Numbers: [2] 2,53 unequal: No Solution Moving to Node #0,1,3 Current State: 53:[60, 102], Operations: ['71-17=54', '48+54=102'] Exploring Operation: 102-60=42, Resulting Numbers: [42] 42,53 unequal: No Solution Exploring Operation: 60*102=6120, Resulting Numbers: [6120] 6120,53 unequal: No Solution Exploring Operation: 60+102=162, Resulting Numbers: [162] 162,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 53:[71, 48, 43], Operations: ['60-17=43'] Exploring Operation: 71-43=28, Resulting Numbers: [48, 28] Generated Node #0,2,0: 53:[48, 28] Operation: 71-43=28 Exploring Operation: 48+43=91, Resulting Numbers: [71, 91] Generated Node #0,2,1: 53:[71, 91] Operation: 48+43=91 Exploring Operation: 48-43=5, Resulting Numbers: [71, 5] Generated Node #0,2,2: 53:[71, 5] Operation: 48-43=5 Exploring Operation: 71-48=23, Resulting Numbers: [43, 23] Generated Node #0,2,3: 53:[43, 23] Operation: 71-48=23 Exploring Operation: 71+43=114, Resulting Numbers: [48, 114] Generated Node #0,2,4: 53:[48, 114] Operation: 71+43=114 Moving to Node #0,2,0 Current State: 53:[48, 28], Operations: ['60-17=43', '71-43=28'] Exploring Operation: 48*28=1344, Resulting Numbers: [1344] 1344,53 unequal: No Solution Exploring Operation: 48-28=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 48+28=76, Resulting Numbers: [76] 76,53 unequal: No Solution Moving to Node #0,2,3 Current State: 53:[43, 23], Operations: ['60-17=43', '71-48=23'] Exploring Operation: 43+23=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 43-23=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 43*23=989, Resulting Numbers: [989] 989,53 unequal: No Solution Moving to Node #0,2,1 Current State: 53:[71, 91], Operations: ['60-17=43', '48+43=91'] Exploring Operation: 71+91=162, Resulting Numbers: [162] 162,53 unequal: No Solution Exploring Operation: 91-71=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 71*91=6461, Resulting Numbers: [6461] 6461,53 unequal: No Solution Moving to Node #0,2,2 Current State: 53:[71, 5], Operations: ['60-17=43', '48-43=5'] Exploring Operation: 71+5=76, Resulting Numbers: [76] 76,53 unequal: No Solution Exploring Operation: 71*5=355, Resulting Numbers: [355] 355,53 unequal: No Solution Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,53 unequal: No Solution Moving to Node #0,2,4 Current State: 53:[48, 114], Operations: ['60-17=43', '71+43=114'] Exploring Operation: 48+114=162, Resulting Numbers: [162] 162,53 unequal: No Solution Exploring Operation: 114-48=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 48*114=5472, Resulting Numbers: [5472] 5472,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 53:[71, 60, 65], Operations: ['17+48=65'] Exploring Operation: 71+60=131, Resulting Numbers: [65, 131] Generated Node #0,3,0: 53:[65, 131] Operation: 71+60=131 Exploring Operation: 71-65=6, Resulting Numbers: [60, 6] Generated Node #0,3,1: 53:[60, 6] Operation: 71-65=6 Exploring Operation: 65-60=5, Resulting Numbers: [71, 5] Generated Node #0,3,2: 53:[71, 5] Operation: 65-60=5 Exploring Operation: 71+65=136, Resulting Numbers: [60, 136] Generated Node #0,3,3: 53:[60, 136] Operation: 71+65=136 Exploring Operation: 71-60=11, Resulting Numbers: [65, 11] Generated Node #0,3,4: 53:[65, 11] Operation: 71-60=11 Moving to Node #0,3,1 Current State: 53:[60, 6], Operations: ['17+48=65', '71-65=6'] Exploring Operation: 60+6=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 60-6=54, Resulting Numbers: [54] 54,53 unequal: No Solution Exploring Operation: 60/6=10, Resulting Numbers: [10] 10,53 unequal: No Solution Exploring Operation: 60*6=360, Resulting Numbers: [360] 360,53 unequal: No Solution Moving to Node #0,3,4 Current State: 53:[65, 11], Operations: ['17+48=65', '71-60=11'] Exploring Operation: 65*11=715, Resulting Numbers: [715] 715,53 unequal: No Solution Exploring Operation: 65-11=54, Resulting Numbers: [54] 54,53 unequal: No Solution Exploring Operation: 65+11=76, Resulting Numbers: [76] 76,53 unequal: No Solution Moving to Node #0,3,2 Current State: 53:[71, 5], Operations: ['17+48=65', '65-60=5'] Exploring Operation: 71*5=355, Resulting Numbers: [355] 355,53 unequal: No Solution Exploring Operation: 71-5=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 71+5=76, Resulting Numbers: [76] 76,53 unequal: No Solution Moving to Node #0,3,0 Current State: 53:[65, 131], Operations: ['17+48=65', '71+60=131'] Exploring Operation: 131-65=66, Resulting Numbers: [66] 66,53 unequal: No Solution Exploring Operation: 65*131=8515, Resulting Numbers: [8515] 8515,53 unequal: No Solution Exploring Operation: 65+131=196, Resulting Numbers: [196] 196,53 unequal: No Solution Moving to Node #0,3,3 Current State: 53:[60, 136], Operations: ['17+48=65', '71+65=136'] Exploring Operation: 60*136=8160, Resulting Numbers: [8160] 8160,53 unequal: No Solution Exploring Operation: 60+136=196, Resulting Numbers: [196] 196,53 unequal: No Solution Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 53:[71, 60, 31], Operations: ['48-17=31'] Exploring Operation: 60+31=91, Resulting Numbers: [71, 91] Generated Node #0,0,0: 53:[71, 91] Operation: 60+31=91 Exploring Operation: 71-60=11, Resulting Numbers: [31, 11] Generated Node #0,0,1: 53:[31, 11] Operation: 71-60=11 Exploring Operation: 71+31=102, Resulting Numbers: [60, 102] Generated Node #0,0,2: 53:[60, 102] Operation: 71+31=102 Exploring Operation: 60-31=29, Resulting Numbers: [71, 29] Generated Node #0,0,3: 53:[71, 29] Operation: 60-31=29 Exploring Operation: 71-31=40, Resulting Numbers: [60, 40] Generated Node #0,0,4: 53:[60, 40] Operation: 71-31=40 Moving to Node #0,0,4 Current State: 53:[60, 40], Operations: ['48-17=31', '71-31=40'] Exploring Operation: 60*40=2400, Resulting Numbers: [2400] 2400,53 unequal: No Solution Exploring Operation: 60+40=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,53 unequal: No Solution Moving to Node #0,0,3 Current State: 53:[71, 29], Operations: ['48-17=31', '60-31=29'] Exploring Operation: 71-29=42, Resulting Numbers: [42] 42,53 unequal: No Solution Exploring Operation: 71+29=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 71*29=2059, Resulting Numbers: [2059] 2059,53 unequal: No Solution Moving to Node #0,0,0 Current State: 53:[71, 91], Operations: ['48-17=31', '60+31=91'] Exploring Operation: 71*91=6461, Resulting Numbers: [6461] 6461,53 unequal: No Solution Exploring Operation: 71+91=162, Resulting Numbers: [162] 162,53 unequal: No Solution Exploring Operation: 91-71=20, Resulting Numbers: [20] 20,53 unequal: No Solution Moving to Node #0,0,2 Current State: 53:[60, 102], Operations: ['48-17=31', '71+31=102'] Exploring Operation: 102-60=42, Resulting Numbers: [42] 42,53 unequal: No Solution Exploring Operation: 60+102=162, Resulting Numbers: [162] 162,53 unequal: No Solution Exploring Operation: 60*102=6120, Resulting Numbers: [6120] 6120,53 unequal: No Solution Moving to Node #0,0,1 Current State: 53:[31, 11], Operations: ['48-17=31', '71-60=11'] Exploring Operation: 31-11=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 31+11=42, Resulting Numbers: [42] 42,53 unequal: No Solution Exploring Operation: 31*11=341, Resulting Numbers: [341] 341,53 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 53:[48, 60, 88], Operations: ['71+17=88'] Exploring Operation: 88-60=28, Resulting Numbers: [48, 28] Generated Node #0,4,0: 53:[48, 28] Operation: 88-60=28 Exploring Operation: 48+60=108, Resulting Numbers: [88, 108] Generated Node #0,4,1: 53:[88, 108] Operation: 48+60=108 Exploring Operation: 48+88=136, Resulting Numbers: [60, 136] Generated Node #0,4,2: 53:[60, 136] Operation: 48+88=136 Exploring Operation: 60-48=12, Resulting Numbers: [88, 12] Generated Node #0,4,3: 53:[88, 12] Operation: 60-48=12 Exploring Operation: 88-48=40, Resulting Numbers: [60, 40] Generated Node #0,4,4: 53:[60, 40] Operation: 88-48=40 Start Sub Search at level 2: Moving to Node #0,4,4 Current State: 53:[60, 40], Operations: ['71+17=88', '88-48=40'] Exploring Operation: 60+40=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 60*40=2400, Resulting Numbers: [2400] 2400,53 unequal: No Solution Exploring Operation: 60-40=20, Resulting Numbers: [20] 20,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,0 Current State: 53:[48, 28], Operations: ['71+17=88', '88-60=28'] Exploring Operation: 48*28=1344, Resulting Numbers: [1344] 1344,53 unequal: No Solution Exploring Operation: 48+28=76, Resulting Numbers: [76] 76,53 unequal: No Solution Exploring Operation: 48-28=20, Resulting Numbers: [20] 20,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,3 Current State: 53:[88, 12], Operations: ['71+17=88', '60-48=12'] Exploring Operation: 88+12=100, Resulting Numbers: [100] 100,53 unequal: No Solution Exploring Operation: 88*12=1056, Resulting Numbers: [1056] 1056,53 unequal: No Solution Exploring Operation: 88-12=76, Resulting Numbers: [76] 76,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,1 Current State: 53:[88, 108], Operations: ['71+17=88', '48+60=108'] Exploring Operation: 88*108=9504, Resulting Numbers: [9504] 9504,53 unequal: No Solution Exploring Operation: 108-88=20, Resulting Numbers: [20] 20,53 unequal: No Solution Exploring Operation: 88+108=196, Resulting Numbers: [196] 196,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,4,2 Current State: 53:[60, 136], Operations: ['71+17=88', '48+88=136'] Exploring Operation: 60*136=8160, Resulting Numbers: [8160] 8160,53 unequal: No Solution Exploring Operation: 60+136=196, Resulting Numbers: [196] 196,53 unequal: No Solution Exploring Operation: 136-60=76, Resulting Numbers: [76] 76,53 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
mult_heuristic
[ 7, 67, 10, 67 ]
73
[ "67-7=60", "60/10=6", "67+6=73" ]
Current State: 73:[7, 67, 10, 67], Operations: [] Exploring Operation: 67-7=60, Resulting Numbers: [10, 60] Generated Node #2: [10, 60] from Operation: 67-7=60 Current State: 73:[10, 60], Operations: ['67-7=60'] Exploring Operation: 60/10=6, Resulting Numbers: [6] 6,73 equal: Goal Reached Exploring Operation: 67+6=73, Resulting Numbers: [73] 73,73 equal: Goal Reached
4
Current State: 73:[7, 67, 10, 67], Operations: [] Exploring Operation: 7*10=70, Resulting Numbers: [67, 67, 70] Generated Node #0,0: 73:[67, 67, 70] Operation: 7*10=70 Exploring Operation: 7+10=17, Resulting Numbers: [67, 67, 17] Generated Node #0,1: 73:[67, 67, 17] Operation: 7+10=17 Exploring Operation: 7+67=74, Resulting Numbers: [10, 67, 74] Generated Node #0,2: 73:[10, 67, 74] Operation: 7+67=74 Exploring Operation: 7+67=74, Resulting Numbers: [67, 10, 74] Generated Node #0,3: 73:[67, 10, 74] Operation: 7+67=74 Moving to Node #0,0 Current State: 73:[67, 67, 70], Operations: ['7*10=70'] Exploring Operation: 67/67=1, Resulting Numbers: [70, 1] Generated Node #0,0,0: 73:[70, 1] Operation: 67/67=1 Exploring Operation: 67+70=137, Resulting Numbers: [67, 137] Generated Node #0,0,1: 73:[67, 137] Operation: 67+70=137 Exploring Operation: 67+67=134, Resulting Numbers: [70, 134] Generated Node #0,0,2: 73:[70, 134] Operation: 67+67=134 Exploring Operation: 67+70=137, Resulting Numbers: [67, 137] Generated Node #0,0,3: 73:[67, 137] Operation: 67+70=137 Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 73:[70, 134], Operations: ['7*10=70', '67+67=134'] Exploring Operation: 134-70=64, Resulting Numbers: [64] 64,73 unequal: No Solution Exploring Operation: 70+134=204, Resulting Numbers: [204] 204,73 unequal: No Solution Exploring Operation: 70*134=9380, Resulting Numbers: [9380] 9380,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 73:[67, 137], Operations: ['7*10=70', '67+70=137'] Exploring Operation: 137-67=70, Resulting Numbers: [70] 70,73 unequal: No Solution Exploring Operation: 67*137=9179, Resulting Numbers: [9179] 9179,73 unequal: No Solution Exploring Operation: 67+137=204, Resulting Numbers: [204] 204,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 73:[67, 137], Operations: ['7*10=70', '67+70=137'] Exploring Operation: 67*137=9179, Resulting Numbers: [9179] 9179,73 unequal: No Solution Exploring Operation: 137-67=70, Resulting Numbers: [70] 70,73 unequal: No Solution Exploring Operation: 67+137=204, Resulting Numbers: [204] 204,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 73:[70, 1], Operations: ['7*10=70', '67/67=1'] Exploring Operation: 70+1=71, Resulting Numbers: [71] 71,73 unequal: No Solution Exploring Operation: 70-1=69, Resulting Numbers: [69] 69,73 unequal: No Solution Exploring Operation: 70/1=70, Resulting Numbers: [70] 70,73 unequal: No Solution Exploring Operation: 70*1=70, Resulting Numbers: [70] 70,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 73:[67, 67, 17], Operations: ['7+10=17'] Exploring Operation: 67+17=84, Resulting Numbers: [67, 84] Generated Node #0,1,0: 73:[67, 84] Operation: 67+17=84 Exploring Operation: 67+17=84, Resulting Numbers: [67, 84] Generated Node #0,1,1: 73:[67, 84] Operation: 67+17=84 Exploring Operation: 67-17=50, Resulting Numbers: [67, 50] Generated Node #0,1,2: 73:[67, 50] Operation: 67-17=50 Exploring Operation: 67-17=50, Resulting Numbers: [67, 50] Generated Node #0,1,3: 73:[67, 50] Operation: 67-17=50 Start Sub Search at level 1: Moving to Node #0,1,0 Current State: 73:[67, 84], Operations: ['7+10=17', '67+17=84'] Exploring Operation: 67+84=151, Resulting Numbers: [151] 151,73 unequal: No Solution Exploring Operation: 84-67=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 67*84=5628, Resulting Numbers: [5628] 5628,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,1 Current State: 73:[67, 84], Operations: ['7+10=17', '67+17=84'] Exploring Operation: 67*84=5628, Resulting Numbers: [5628] 5628,73 unequal: No Solution Exploring Operation: 67+84=151, Resulting Numbers: [151] 151,73 unequal: No Solution Exploring Operation: 84-67=17, Resulting Numbers: [17] 17,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,2 Current State: 73:[67, 50], Operations: ['7+10=17', '67-17=50'] Exploring Operation: 67*50=3350, Resulting Numbers: [3350] 3350,73 unequal: No Solution Exploring Operation: 67-50=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 67+50=117, Resulting Numbers: [117] 117,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1,3 Current State: 73:[67, 50], Operations: ['7+10=17', '67-17=50'] Exploring Operation: 67*50=3350, Resulting Numbers: [3350] 3350,73 unequal: No Solution Exploring Operation: 67+50=117, Resulting Numbers: [117] 117,73 unequal: No Solution Exploring Operation: 67-50=17, Resulting Numbers: [17] 17,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3 Current State: 73:[67, 10, 74], Operations: ['7+67=74'] Exploring Operation: 67-10=57, Resulting Numbers: [74, 57] Generated Node #0,3,0: 73:[74, 57] Operation: 67-10=57 Exploring Operation: 10+74=84, Resulting Numbers: [67, 84] Generated Node #0,3,1: 73:[67, 84] Operation: 10+74=84 Exploring Operation: 67+10=77, Resulting Numbers: [74, 77] Generated Node #0,3,2: 73:[74, 77] Operation: 67+10=77 Exploring Operation: 74-10=64, Resulting Numbers: [67, 64] Generated Node #0,3,3: 73:[67, 64] Operation: 74-10=64 Moving to Node #0,2 Current State: 73:[10, 67, 74], Operations: ['7+67=74'] Exploring Operation: 10+74=84, Resulting Numbers: [67, 84] Generated Node #0,2,0: 73:[67, 84] Operation: 10+74=84 Exploring Operation: 74-10=64, Resulting Numbers: [67, 64] Generated Node #0,2,1: 73:[67, 64] Operation: 74-10=64 Exploring Operation: 67-10=57, Resulting Numbers: [74, 57] Generated Node #0,2,2: 73:[74, 57] Operation: 67-10=57 Exploring Operation: 10+67=77, Resulting Numbers: [74, 77] Generated Node #0,2,3: 73:[74, 77] Operation: 10+67=77 Start Sub Search at level 1: Moving to Node #0,2,3 Current State: 73:[74, 77], Operations: ['7+67=74', '10+67=77'] Exploring Operation: 74+77=151, Resulting Numbers: [151] 151,73 unequal: No Solution Exploring Operation: 74*77=5698, Resulting Numbers: [5698] 5698,73 unequal: No Solution Exploring Operation: 77-74=3, Resulting Numbers: [3] 3,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,1 Current State: 73:[67, 64], Operations: ['7+67=74', '74-10=64'] Exploring Operation: 67*64=4288, Resulting Numbers: [4288] 4288,73 unequal: No Solution Exploring Operation: 67-64=3, Resulting Numbers: [3] 3,73 unequal: No Solution Exploring Operation: 67+64=131, Resulting Numbers: [131] 131,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,0 Current State: 73:[67, 84], Operations: ['7+67=74', '10+74=84'] Exploring Operation: 67*84=5628, Resulting Numbers: [5628] 5628,73 unequal: No Solution Exploring Operation: 67+84=151, Resulting Numbers: [151] 151,73 unequal: No Solution Exploring Operation: 84-67=17, Resulting Numbers: [17] 17,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2,2 Current State: 73:[74, 57], Operations: ['7+67=74', '67-10=57'] Exploring Operation: 74+57=131, Resulting Numbers: [131] 131,73 unequal: No Solution Exploring Operation: 74-57=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 74*57=4218, Resulting Numbers: [4218] 4218,73 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,3,2 Current State: 73:[74, 77], Operations: ['7+67=74', '67+10=77'] Exploring Operation: 74*77=5698, Resulting Numbers: [5698] 5698,73 unequal: No Solution Exploring Operation: 77-74=3, Resulting Numbers: [3] 3,73 unequal: No Solution Exploring Operation: 74+77=151, Resulting Numbers: [151] 151,73 unequal: No Solution Moving to Node #0,3,3 Current State: 73:[67, 64], Operations: ['7+67=74', '74-10=64'] Exploring Operation: 67+64=131, Resulting Numbers: [131] 131,73 unequal: No Solution Exploring Operation: 67*64=4288, Resulting Numbers: [4288] 4288,73 unequal: No Solution Exploring Operation: 67-64=3, Resulting Numbers: [3] 3,73 unequal: No Solution Moving to Node #0,3,1 Current State: 73:[67, 84], Operations: ['7+67=74', '10+74=84'] Exploring Operation: 67*84=5628, Resulting Numbers: [5628] 5628,73 unequal: No Solution Exploring Operation: 84-67=17, Resulting Numbers: [17] 17,73 unequal: No Solution Exploring Operation: 67+84=151, Resulting Numbers: [151] 151,73 unequal: No Solution Moving to Node #0,3,0 Current State: 73:[74, 57], Operations: ['7+67=74', '67-10=57'] Exploring Operation: 74*57=4218, Resulting Numbers: [4218] 4218,73 unequal: No Solution Exploring Operation: 74+57=131, Resulting Numbers: [131] 131,73 unequal: No Solution Exploring Operation: 74-57=17, Resulting Numbers: [17] 17,73 unequal: No Solution No solution found.
0
hs_4
sum_heuristic
[ 14, 11, 3, 16 ]
66
[ "16-14=2", "11*3=33", "2*33=66" ]
Current State: 66:[14, 11, 3, 16], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [11, 3, 2] Generated Node #2: [11, 3, 2] from Operation: 16-14=2 Current State: 66:[11, 3, 2], Operations: ['16-14=2'] Exploring Operation: 11*3=33, Resulting Numbers: [2, 33] Generated Node #3: [2, 33] from Operation: 11*3=33 Current State: 66:[2, 33], Operations: ['16-14=2', '11*3=33'] Exploring Operation: 2*33=66, Resulting Numbers: [66] 66,66 equal: Goal Reached
4
Current State: 66:[14, 11, 3, 16], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [11, 3, 2] Generated Node #0,0: 66:[11, 3, 2] Operation: 16-14=2 Exploring Operation: 14+16=30, Resulting Numbers: [11, 3, 30] Generated Node #0,1: 66:[11, 3, 30] Operation: 14+16=30 Exploring Operation: 16-11=5, Resulting Numbers: [14, 3, 5] Generated Node #0,2: 66:[14, 3, 5] Operation: 16-11=5 Start Sub Search at level 1: Moving to Node #0,0 Current State: 66:[11, 3, 2], Operations: ['16-14=2'] Exploring Operation: 11*2=22, Resulting Numbers: [3, 22] Generated Node #0,0,0: 66:[3, 22] Operation: 11*2=22 Exploring Operation: 3*2=6, Resulting Numbers: [11, 6] Generated Node #0,0,1: 66:[11, 6] Operation: 3*2=6 Exploring Operation: 11*3=33, Resulting Numbers: [2, 33] Generated Node #0,0,2: 66:[2, 33] Operation: 11*3=33 Moving to Node #0,0,0 Current State: 66:[3, 22], Operations: ['16-14=2', '11*2=22'] Exploring Operation: 22-3=19, Resulting Numbers: [19] 19,66 unequal: No Solution Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Moving to Node #0 Current State: 66:[14, 11, 3, 16], Operations: [] Exploring Operation: 16-14=2, Resulting Numbers: [11, 3, 2] Generated Node #0,0: 66:[11, 3, 2] Operation: 16-14=2 Moving to Node #0,0 Current State: 66:[11, 3, 2], Operations: ['16-14=2'] Exploring Operation: 11*2=22, Resulting Numbers: [3, 22] Generated Node #0,0,0: 66:[3, 22] Operation: 11*2=22 Moving to Node #0,0,0 Current State: 66:[3, 22], Operations: ['16-14=2', '11*2=22'] Exploring Operation: 3*22=66, Resulting Numbers: [66] 66,66 equal: Goal Reached Exit Sub Search at level 1
0.989583
hs_3
sum_heuristic
[ 39, 50, 97, 3 ]
78
[ "97+3=100", "39*100=3900", "3900/50=78" ]
Current State: 78:[39, 50, 97, 3], Operations: [] Exploring Operation: 97+3=100, Resulting Numbers: [39, 50, 100] Generated Node #2: [39, 50, 100] from Operation: 97+3=100 Current State: 78:[39, 50, 100], Operations: ['97+3=100'] Exploring Operation: 39*100=3900, Resulting Numbers: [50, 3900] Generated Node #3: [50, 3900] from Operation: 39*100=3900 Current State: 78:[50, 3900], Operations: ['97+3=100', '39*100=3900'] Exploring Operation: 3900/50=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[39, 50, 97, 3], Operations: [] Exploring Operation: 97-50=47, Resulting Numbers: [39, 3, 47] Generated Node #0,0: 78:[39, 3, 47] Operation: 97-50=47 Moving to Node #0,0 Current State: 78:[39, 3, 47], Operations: ['97-50=47'] Exploring Operation: 47-39=8, Resulting Numbers: [3, 8] Generated Node #0,0,0: 78:[3, 8] Operation: 47-39=8 Moving to Node #0,0,0 Current State: 78:[3, 8], Operations: ['97-50=47', '47-39=8'] Exploring Operation: 8-3=5, Resulting Numbers: [5] 5,78 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 98, 20, 57, 26 ]
54
[ "98-20=78", "78/26=3", "57-3=54" ]
Current State: 54:[98, 20, 57, 26], Operations: [] Exploring Operation: 98-20=78, Resulting Numbers: [57, 26, 78] Generated Node #2: [57, 26, 78] from Operation: 98-20=78 Current State: 54:[57, 26, 78], Operations: ['98-20=78'] Exploring Operation: 78/26=3, Resulting Numbers: [57, 3] Generated Node #3: [57, 3] from Operation: 78/26=3 Current State: 54:[57, 3], Operations: ['98-20=78', '78/26=3'] Exploring Operation: 57-3=54, Resulting Numbers: [54] 54,54 equal: Goal Reached
4
Current State: 54:[98, 20, 57, 26], Operations: [] Exploring Operation: 98-57=41, Resulting Numbers: [20, 26, 41] Generated Node #0,0: 54:[20, 26, 41] Operation: 98-57=41 Exploring Operation: 98-26=72, Resulting Numbers: [20, 57, 72] Generated Node #0,1: 54:[20, 57, 72] Operation: 98-26=72 Start Sub Search at level 1: Moving to Node #0,0 Current State: 54:[20, 26, 41], Operations: ['98-57=41'] Exploring Operation: 41-20=21, Resulting Numbers: [26, 21] Generated Node #0,0,0: 54:[26, 21] Operation: 41-20=21 Exploring Operation: 41-26=15, Resulting Numbers: [20, 15] Generated Node #0,0,1: 54:[20, 15] Operation: 41-26=15 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 54:[26, 21], Operations: ['98-57=41', '41-20=21'] Exploring Operation: 26-21=5, Resulting Numbers: [5] 5,54 unequal: No Solution Exploring Operation: 26+21=47, Resulting Numbers: [47] 47,54 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 54:[20, 15], Operations: ['98-57=41', '41-26=15'] Exploring Operation: 20+15=35, Resulting Numbers: [35] 35,54 unequal: No Solution Exploring Operation: 20-15=5, Resulting Numbers: [5] 5,54 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 54:[20, 57, 72], Operations: ['98-26=72'] Exploring Operation: 72-57=15, Resulting Numbers: [20, 15] Generated Node #0,1,0: 54:[20, 15] Operation: 72-57=15 Exploring Operation: 72-20=52, Resulting Numbers: [57, 52] Generated Node #0,1,1: 54:[57, 52] Operation: 72-20=52 Moving to Node #0,1,0 Current State: 54:[20, 15], Operations: ['98-26=72', '72-57=15'] Exploring Operation: 20-15=5, Resulting Numbers: [5] 5,54 unequal: No Solution Exploring Operation: 20+15=35, Resulting Numbers: [35] 35,54 unequal: No Solution Moving to Node #0,1,1 Current State: 54:[57, 52], Operations: ['98-26=72', '72-20=52'] Exploring Operation: 57+52=109, Resulting Numbers: [109] 109,54 unequal: No Solution Exploring Operation: 57-52=5, Resulting Numbers: [5] 5,54 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_2
mult_heuristic
[ 35, 42, 98, 21 ]
61
[ "98-35=63", "42/21=2", "63-2=61" ]
Current State: 61:[35, 42, 98, 21], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [42, 21, 63] Generated Node #2: [42, 21, 63] from Operation: 98-35=63 Current State: 61:[42, 21, 63], Operations: ['98-35=63'] Exploring Operation: 42/21=2, Resulting Numbers: [63, 2] Generated Node #3: [63, 2] from Operation: 42/21=2 Current State: 61:[63, 2], Operations: ['98-35=63', '42/21=2'] Exploring Operation: 63-2=61, Resulting Numbers: [61] 61,61 equal: Goal Reached
4
Current State: 61:[35, 42, 98, 21], Operations: [] Exploring Operation: 98-35=63, Resulting Numbers: [42, 21, 63] Generated Node #0,0: 61:[42, 21, 63] Operation: 98-35=63 Start Sub Search at level 1: Moving to Node #0,0 Current State: 61:[42, 21, 63], Operations: ['98-35=63'] Exploring Operation: 42+21=63, Resulting Numbers: [63, 63] Generated Node #0,0,0: 61:[63, 63] Operation: 42+21=63 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 61:[63, 63], Operations: ['98-35=63', '42+21=63'] Exploring Operation: 63/63=1, Resulting Numbers: [1] 1,61 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_1
sum_heuristic
[ 96, 31, 17, 37 ]
100
[ "31+37=68", "68/17=4", "96+4=100" ]
Current State: 100:[96, 31, 17, 37], Operations: [] Exploring Operation: 31+37=68, Resulting Numbers: [96, 17, 68] Generated Node #2: [96, 17, 68] from Operation: 31+37=68 Current State: 100:[96, 17, 68], Operations: ['31+37=68'] Exploring Operation: 68/17=4, Resulting Numbers: [96, 4] Generated Node #3: [96, 4] from Operation: 68/17=4 Current State: 100:[96, 4], Operations: ['31+37=68', '68/17=4'] Exploring Operation: 96+4=100, Resulting Numbers: [100] 100,100 equal: Goal Reached
4
Current State: 100:[96, 31, 17, 37], Operations: [] Exploring Operation: 17+37=54, Resulting Numbers: [96, 31, 54] Generated Node #0,0: 100:[96, 31, 54] Operation: 17+37=54 Exploring Operation: 96-37=59, Resulting Numbers: [31, 17, 59] Generated Node #0,1: 100:[31, 17, 59] Operation: 96-37=59 Exploring Operation: 37-31=6, Resulting Numbers: [96, 17, 6] Generated Node #0,2: 100:[96, 17, 6] Operation: 37-31=6 Exploring Operation: 37-17=20, Resulting Numbers: [96, 31, 20] Generated Node #0,3: 100:[96, 31, 20] Operation: 37-17=20 Start Sub Search at level 1: Moving to Node #0,2 Current State: 100:[96, 17, 6], Operations: ['37-31=6'] Exploring Operation: 17+6=23, Resulting Numbers: [96, 23] Generated Node #0,2,0: 100:[96, 23] Operation: 17+6=23 Exploring Operation: 96+6=102, Resulting Numbers: [17, 102] Generated Node #0,2,1: 100:[17, 102] Operation: 96+6=102 Exploring Operation: 17*6=102, Resulting Numbers: [96, 102] Generated Node #0,2,2: 100:[96, 102] Operation: 17*6=102 Exploring Operation: 17-6=11, Resulting Numbers: [96, 11] Generated Node #0,2,3: 100:[96, 11] Operation: 17-6=11 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 100:[17, 102], Operations: ['37-31=6', '96+6=102'] Exploring Operation: 17+102=119, Resulting Numbers: [119] 119,100 unequal: No Solution Exploring Operation: 102-17=85, Resulting Numbers: [85] 85,100 unequal: No Solution Exploring Operation: 17*102=1734, Resulting Numbers: [1734] 1734,100 unequal: No Solution Exploring Operation: 102/17=6, Resulting Numbers: [6] 6,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 100:[96, 11], Operations: ['37-31=6', '17-6=11'] Exploring Operation: 96*11=1056, Resulting Numbers: [1056] 1056,100 unequal: No Solution Exploring Operation: 96-11=85, Resulting Numbers: [85] 85,100 unequal: No Solution Exploring Operation: 96+11=107, Resulting Numbers: [107] 107,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 100:[96, 23], Operations: ['37-31=6', '17+6=23'] Exploring Operation: 96+23=119, Resulting Numbers: [119] 119,100 unequal: No Solution Exploring Operation: 96-23=73, Resulting Numbers: [73] 73,100 unequal: No Solution Exploring Operation: 96*23=2208, Resulting Numbers: [2208] 2208,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 100:[96, 102], Operations: ['37-31=6', '17*6=102'] Exploring Operation: 96+102=198, Resulting Numbers: [198] 198,100 unequal: No Solution Exploring Operation: 102-96=6, Resulting Numbers: [6] 6,100 unequal: No Solution Exploring Operation: 96*102=9792, Resulting Numbers: [9792] 9792,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 100:[96, 31, 20], Operations: ['37-17=20'] Exploring Operation: 96-31=65, Resulting Numbers: [20, 65] Generated Node #0,3,0: 100:[20, 65] Operation: 96-31=65 Exploring Operation: 31-20=11, Resulting Numbers: [96, 11] Generated Node #0,3,1: 100:[96, 11] Operation: 31-20=11 Exploring Operation: 96+20=116, Resulting Numbers: [31, 116] Generated Node #0,3,2: 100:[31, 116] Operation: 96+20=116 Exploring Operation: 31+20=51, Resulting Numbers: [96, 51] Generated Node #0,3,3: 100:[96, 51] Operation: 31+20=51 Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 100:[96, 11], Operations: ['37-17=20', '31-20=11'] Exploring Operation: 96+11=107, Resulting Numbers: [107] 107,100 unequal: No Solution Exploring Operation: 96*11=1056, Resulting Numbers: [1056] 1056,100 unequal: No Solution Exploring Operation: 96-11=85, Resulting Numbers: [85] 85,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 100:[96, 51], Operations: ['37-17=20', '31+20=51'] Exploring Operation: 96+51=147, Resulting Numbers: [147] 147,100 unequal: No Solution Exploring Operation: 96-51=45, Resulting Numbers: [45] 45,100 unequal: No Solution Exploring Operation: 96*51=4896, Resulting Numbers: [4896] 4896,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 100:[20, 65], Operations: ['37-17=20', '96-31=65'] Exploring Operation: 20+65=85, Resulting Numbers: [85] 85,100 unequal: No Solution Exploring Operation: 20*65=1300, Resulting Numbers: [1300] 1300,100 unequal: No Solution Exploring Operation: 65-20=45, Resulting Numbers: [45] 45,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 100:[31, 116], Operations: ['37-17=20', '96+20=116'] Exploring Operation: 116-31=85, Resulting Numbers: [85] 85,100 unequal: No Solution Exploring Operation: 31+116=147, Resulting Numbers: [147] 147,100 unequal: No Solution Exploring Operation: 31*116=3596, Resulting Numbers: [3596] 3596,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 100:[96, 31, 54], Operations: ['17+37=54'] Exploring Operation: 54-31=23, Resulting Numbers: [96, 23] Generated Node #0,0,0: 100:[96, 23] Operation: 54-31=23 Exploring Operation: 96-31=65, Resulting Numbers: [54, 65] Generated Node #0,0,1: 100:[54, 65] Operation: 96-31=65 Exploring Operation: 31+54=85, Resulting Numbers: [96, 85] Generated Node #0,0,2: 100:[96, 85] Operation: 31+54=85 Exploring Operation: 96-54=42, Resulting Numbers: [31, 42] Generated Node #0,0,3: 100:[31, 42] Operation: 96-54=42 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 100:[96, 23], Operations: ['17+37=54', '54-31=23'] Exploring Operation: 96-23=73, Resulting Numbers: [73] 73,100 unequal: No Solution Exploring Operation: 96*23=2208, Resulting Numbers: [2208] 2208,100 unequal: No Solution Exploring Operation: 96+23=119, Resulting Numbers: [119] 119,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 100:[31, 42], Operations: ['17+37=54', '96-54=42'] Exploring Operation: 31*42=1302, Resulting Numbers: [1302] 1302,100 unequal: No Solution Exploring Operation: 31+42=73, Resulting Numbers: [73] 73,100 unequal: No Solution Exploring Operation: 42-31=11, Resulting Numbers: [11] 11,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 100:[54, 65], Operations: ['17+37=54', '96-31=65'] Exploring Operation: 54+65=119, Resulting Numbers: [119] 119,100 unequal: No Solution Exploring Operation: 54*65=3510, Resulting Numbers: [3510] 3510,100 unequal: No Solution Exploring Operation: 65-54=11, Resulting Numbers: [11] 11,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 100:[96, 85], Operations: ['17+37=54', '31+54=85'] Exploring Operation: 96+85=181, Resulting Numbers: [181] 181,100 unequal: No Solution Exploring Operation: 96*85=8160, Resulting Numbers: [8160] 8160,100 unequal: No Solution Exploring Operation: 96-85=11, Resulting Numbers: [11] 11,100 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 100:[31, 17, 59], Operations: ['96-37=59'] Exploring Operation: 31+59=90, Resulting Numbers: [17, 90] Generated Node #0,1,0: 100:[17, 90] Operation: 31+59=90 Exploring Operation: 31-17=14, Resulting Numbers: [59, 14] Generated Node #0,1,1: 100:[59, 14] Operation: 31-17=14 Exploring Operation: 59-31=28, Resulting Numbers: [17, 28] Generated Node #0,1,2: 100:[17, 28] Operation: 59-31=28 Exploring Operation: 31+17=48, Resulting Numbers: [59, 48] Generated Node #0,1,3: 100:[59, 48] Operation: 31+17=48 Moving to Node #0,1,2 Current State: 100:[17, 28], Operations: ['96-37=59', '59-31=28'] Exploring Operation: 17*28=476, Resulting Numbers: [476] 476,100 unequal: No Solution Exploring Operation: 28-17=11, Resulting Numbers: [11] 11,100 unequal: No Solution Exploring Operation: 17+28=45, Resulting Numbers: [45] 45,100 unequal: No Solution Moving to Node #0,1,3 Current State: 100:[59, 48], Operations: ['96-37=59', '31+17=48'] Exploring Operation: 59+48=107, Resulting Numbers: [107] 107,100 unequal: No Solution Exploring Operation: 59-48=11, Resulting Numbers: [11] 11,100 unequal: No Solution Exploring Operation: 59*48=2832, Resulting Numbers: [2832] 2832,100 unequal: No Solution Moving to Node #0,1,1 Current State: 100:[59, 14], Operations: ['96-37=59', '31-17=14'] Exploring Operation: 59-14=45, Resulting Numbers: [45] 45,100 unequal: No Solution Exploring Operation: 59*14=826, Resulting Numbers: [826] 826,100 unequal: No Solution Exploring Operation: 59+14=73, Resulting Numbers: [73] 73,100 unequal: No Solution Moving to Node #0,1,0 Current State: 100:[17, 90], Operations: ['96-37=59', '31+59=90'] Exploring Operation: 90-17=73, Resulting Numbers: [73] 73,100 unequal: No Solution Exploring Operation: 17+90=107, Resulting Numbers: [107] 107,100 unequal: No Solution Exploring Operation: 17*90=1530, Resulting Numbers: [1530] 1530,100 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 58, 29, 81, 90 ]
36
[ "58/29=2", "90/2=45", "81-45=36" ]
Current State: 36:[58, 29, 81, 90], Operations: [] Exploring Operation: 58/29=2, Resulting Numbers: [81, 90, 2] Generated Node #2: [81, 90, 2] from Operation: 58/29=2 Current State: 36:[81, 90, 2], Operations: ['58/29=2'] Exploring Operation: 90/2=45, Resulting Numbers: [81, 45] Generated Node #3: [81, 45] from Operation: 90/2=45 Current State: 36:[81, 45], Operations: ['58/29=2', '90/2=45'] Exploring Operation: 81-45=36, Resulting Numbers: [36] 36,36 equal: Goal Reached
4
Current State: 36:[58, 29, 81, 90], Operations: [] Exploring Operation: 90-81=9, Resulting Numbers: [58, 29, 9] Generated Node #0,0: 36:[58, 29, 9] Operation: 90-81=9 Moving to Node #0,0 Current State: 36:[58, 29, 9], Operations: ['90-81=9'] Exploring Operation: 58/29=2, Resulting Numbers: [9, 2] Generated Node #0,0,0: 36:[9, 2] Operation: 58/29=2 Moving to Node #0,0,0 Current State: 36:[9, 2], Operations: ['90-81=9', '58/29=2'] Exploring Operation: 9*2=18, Resulting Numbers: [18] 18,36 unequal: No Solution No solution found.
0
hs_1
sum_heuristic
[ 73, 36, 77, 18 ]
72
[ "77-73=4", "36-18=18", "4*18=72" ]
Current State: 72:[73, 36, 77, 18], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [36, 18, 4] Generated Node #2: [36, 18, 4] from Operation: 77-73=4 Current State: 72:[36, 18, 4], Operations: ['77-73=4'] Exploring Operation: 36-18=18, Resulting Numbers: [4, 18] Generated Node #3: [4, 18] from Operation: 36-18=18 Current State: 72:[4, 18], Operations: ['77-73=4', '36-18=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached
4
Current State: 72:[73, 36, 77, 18], Operations: [] Exploring Operation: 73-36=37, Resulting Numbers: [77, 18, 37] Generated Node #0,0: 72:[77, 18, 37] Operation: 73-36=37 Exploring Operation: 77-73=4, Resulting Numbers: [36, 18, 4] Generated Node #0,1: 72:[36, 18, 4] Operation: 77-73=4 Start Sub Search at level 1: Moving to Node #0,1 Current State: 72:[36, 18, 4], Operations: ['77-73=4'] Exploring Operation: 36-18=18, Resulting Numbers: [4, 18] Generated Node #0,1,0: 72:[4, 18] Operation: 36-18=18 Exploring Operation: 36/18=2, Resulting Numbers: [4, 2] Generated Node #0,1,1: 72:[4, 2] Operation: 36/18=2 Moving to Node #0,1,0 Current State: 72:[4, 18], Operations: ['77-73=4', '36-18=18'] Exploring Operation: 4+18=22, Resulting Numbers: [22] 22,72 unequal: No Solution Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Moving to Node #0 Current State: 72:[73, 36, 77, 18], Operations: [] Exploring Operation: 77-73=4, Resulting Numbers: [36, 18, 4] Generated Node #0,1: 72:[36, 18, 4] Operation: 77-73=4 Moving to Node #0,1 Current State: 72:[36, 18, 4], Operations: ['77-73=4'] Exploring Operation: 36-18=18, Resulting Numbers: [4, 18] Generated Node #0,1,0: 72:[4, 18] Operation: 36-18=18 Moving to Node #0,1,0 Current State: 72:[4, 18], Operations: ['77-73=4', '36-18=18'] Exploring Operation: 4*18=72, Resulting Numbers: [72] 72,72 equal: Goal Reached Exit Sub Search at level 1
0.991319
hs_2
mult_heuristic
[ 12, 13, 57, 54 ]
86
[ "12+13=25", "57+54=111", "111-25=86" ]
Current State: 86:[12, 13, 57, 54], Operations: [] Exploring Operation: 12+13=25, Resulting Numbers: [57, 54, 25] Generated Node #2: [57, 54, 25] from Operation: 12+13=25 Current State: 86:[57, 54, 25], Operations: ['12+13=25'] Exploring Operation: 57+54=111, Resulting Numbers: [25, 111] Generated Node #3: [25, 111] from Operation: 57+54=111 Current State: 86:[25, 111], Operations: ['12+13=25', '57+54=111'] Exploring Operation: 111-25=86, Resulting Numbers: [86] 86,86 equal: Goal Reached
4
Current State: 86:[12, 13, 57, 54], Operations: [] Exploring Operation: 57-12=45, Resulting Numbers: [13, 54, 45] Generated Node #0,0: 86:[13, 54, 45] Operation: 57-12=45 Exploring Operation: 57-54=3, Resulting Numbers: [12, 13, 3] Generated Node #0,1: 86:[12, 13, 3] Operation: 57-54=3 Exploring Operation: 57-13=44, Resulting Numbers: [12, 54, 44] Generated Node #0,2: 86:[12, 54, 44] Operation: 57-13=44 Start Sub Search at level 1: Moving to Node #0,1 Current State: 86:[12, 13, 3], Operations: ['57-54=3'] Exploring Operation: 13*3=39, Resulting Numbers: [12, 39] Generated Node #0,1,0: 86:[12, 39] Operation: 13*3=39 Exploring Operation: 13-12=1, Resulting Numbers: [3, 1] Generated Node #0,1,1: 86:[3, 1] Operation: 13-12=1 Exploring Operation: 12/3=4, Resulting Numbers: [13, 4] Generated Node #0,1,2: 86:[13, 4] Operation: 12/3=4 Moving to Node #0,1,1 Current State: 86:[3, 1], Operations: ['57-54=3', '13-12=1'] Exploring Operation: 3*1=3, Resulting Numbers: [3] 3,86 unequal: No Solution Exploring Operation: 3-1=2, Resulting Numbers: [2] 2,86 unequal: No Solution Exploring Operation: 3/1=3, Resulting Numbers: [3] 3,86 unequal: No Solution Moving to Node #0,1,2 Current State: 86:[13, 4], Operations: ['57-54=3', '12/3=4'] Exploring Operation: 13+4=17, Resulting Numbers: [17] 17,86 unequal: No Solution Exploring Operation: 13*4=52, Resulting Numbers: [52] 52,86 unequal: No Solution Exploring Operation: 13-4=9, Resulting Numbers: [9] 9,86 unequal: No Solution Moving to Node #0,1,0 Current State: 86:[12, 39], Operations: ['57-54=3', '13*3=39'] Exploring Operation: 12+39=51, Resulting Numbers: [51] 51,86 unequal: No Solution Exploring Operation: 12*39=468, Resulting Numbers: [468] 468,86 unequal: No Solution Exploring Operation: 39-12=27, Resulting Numbers: [27] 27,86 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 86:[12, 54, 44], Operations: ['57-13=44'] Exploring Operation: 54-44=10, Resulting Numbers: [12, 10] Generated Node #0,2,0: 86:[12, 10] Operation: 54-44=10 Exploring Operation: 54-12=42, Resulting Numbers: [44, 42] Generated Node #0,2,1: 86:[44, 42] Operation: 54-12=42 Exploring Operation: 12+54=66, Resulting Numbers: [44, 66] Generated Node #0,2,2: 86:[44, 66] Operation: 12+54=66 Moving to Node #0,2,1 Current State: 86:[44, 42], Operations: ['57-13=44', '54-12=42'] Exploring Operation: 44-42=2, Resulting Numbers: [2] 2,86 unequal: No Solution Exploring Operation: 44+42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Moving to Node #0 Current State: 86:[12, 13, 57, 54], Operations: [] Exploring Operation: 57-13=44, Resulting Numbers: [12, 54, 44] Generated Node #0,2: 86:[12, 54, 44] Operation: 57-13=44 Moving to Node #0,2 Current State: 86:[12, 54, 44], Operations: ['57-13=44'] Exploring Operation: 54-12=42, Resulting Numbers: [44, 42] Generated Node #0,2,1: 86:[44, 42] Operation: 54-12=42 Moving to Node #0,2,1 Current State: 86:[44, 42], Operations: ['57-13=44', '54-12=42'] Exploring Operation: 44+42=86, Resulting Numbers: [86] 86,86 equal: Goal Reached Exit Sub Search at level 1
0.979167
hs_3
mult_heuristic
[ 21, 71, 13, 92 ]
88
[ "71+13=84", "84/21=4", "92-4=88" ]
Current State: 88:[21, 71, 13, 92], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [21, 92, 84] Generated Node #2: [21, 92, 84] from Operation: 71+13=84 Current State: 88:[21, 92, 84], Operations: ['71+13=84'] Exploring Operation: 84/21=4, Resulting Numbers: [92, 4] Generated Node #3: [92, 4] from Operation: 84/21=4 Current State: 88:[92, 4], Operations: ['71+13=84', '84/21=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached
4
Current State: 88:[21, 71, 13, 92], Operations: [] Exploring Operation: 21+71=92, Resulting Numbers: [13, 92, 92] Generated Node #0,0: 88:[13, 92, 92] Operation: 21+71=92 Exploring Operation: 92-71=21, Resulting Numbers: [21, 13, 21] Generated Node #0,1: 88:[21, 13, 21] Operation: 92-71=21 Exploring Operation: 71-21=50, Resulting Numbers: [13, 92, 50] Generated Node #0,2: 88:[13, 92, 50] Operation: 71-21=50 Exploring Operation: 71+13=84, Resulting Numbers: [21, 92, 84] Generated Node #0,3: 88:[21, 92, 84] Operation: 71+13=84 Moving to Node #0,1 Current State: 88:[21, 13, 21], Operations: ['92-71=21'] Exploring Operation: 21-13=8, Resulting Numbers: [21, 8] Generated Node #0,1,0: 88:[21, 8] Operation: 21-13=8 Exploring Operation: 21/21=1, Resulting Numbers: [13, 1] Generated Node #0,1,1: 88:[13, 1] Operation: 21/21=1 Exploring Operation: 21-13=8, Resulting Numbers: [21, 8] Generated Node #0,1,2: 88:[21, 8] Operation: 21-13=8 Exploring Operation: 21+21=42, Resulting Numbers: [13, 42] Generated Node #0,1,3: 88:[13, 42] Operation: 21+21=42 Moving to Node #0,3 Current State: 88:[21, 92, 84], Operations: ['71+13=84'] Exploring Operation: 92-21=71, Resulting Numbers: [84, 71] Generated Node #0,3,0: 88:[84, 71] Operation: 92-21=71 Exploring Operation: 92-84=8, Resulting Numbers: [21, 8] Generated Node #0,3,1: 88:[21, 8] Operation: 92-84=8 Exploring Operation: 84/21=4, Resulting Numbers: [92, 4] Generated Node #0,3,2: 88:[92, 4] Operation: 84/21=4 Exploring Operation: 21+84=105, Resulting Numbers: [92, 105] Generated Node #0,3,3: 88:[92, 105] Operation: 21+84=105 Start Sub Search at level 1: Moving to Node #0,3,1 Current State: 88:[21, 8], Operations: ['71+13=84', '92-84=8'] Exploring Operation: 21+8=29, Resulting Numbers: [29] 29,88 unequal: No Solution Exploring Operation: 21-8=13, Resulting Numbers: [13] 13,88 unequal: No Solution Exploring Operation: 21*8=168, Resulting Numbers: [168] 168,88 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3,2 Current State: 88:[92, 4], Operations: ['71+13=84', '84/21=4'] Exploring Operation: 92*4=368, Resulting Numbers: [368] 368,88 unequal: No Solution Exploring Operation: 92/4=23, Resulting Numbers: [23] 23,88 unequal: No Solution Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Moving to Node #0 Current State: 88:[21, 71, 13, 92], Operations: [] Exploring Operation: 71+13=84, Resulting Numbers: [21, 92, 84] Generated Node #0,3: 88:[21, 92, 84] Operation: 71+13=84 Moving to Node #0,3 Current State: 88:[21, 92, 84], Operations: ['71+13=84'] Exploring Operation: 84/21=4, Resulting Numbers: [92, 4] Generated Node #0,3,2: 88:[92, 4] Operation: 84/21=4 Moving to Node #0,3,2 Current State: 88:[92, 4], Operations: ['71+13=84', '84/21=4'] Exploring Operation: 92-4=88, Resulting Numbers: [88] 88,88 equal: Goal Reached Exit Sub Search at level 1
0.980903
hs_4
sum_heuristic
[ 17, 11, 12, 8 ]
93
[ "17-12=5", "11*8=88", "5+88=93" ]
Current State: 93:[17, 11, 12, 8], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [11, 8, 5] Generated Node #2: [11, 8, 5] from Operation: 17-12=5 Current State: 93:[11, 8, 5], Operations: ['17-12=5'] Exploring Operation: 11*8=88, Resulting Numbers: [5, 88] Generated Node #3: [5, 88] from Operation: 11*8=88 Current State: 93:[5, 88], Operations: ['17-12=5', '11*8=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached
4
Current State: 93:[17, 11, 12, 8], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [11, 8, 5] Generated Node #0,0: 93:[11, 8, 5] Operation: 17-12=5 Exploring Operation: 17+12=29, Resulting Numbers: [11, 8, 29] Generated Node #0,1: 93:[11, 8, 29] Operation: 17+12=29 Start Sub Search at level 1: Moving to Node #0,0 Current State: 93:[11, 8, 5], Operations: ['17-12=5'] Exploring Operation: 11-8=3, Resulting Numbers: [5, 3] Generated Node #0,0,0: 93:[5, 3] Operation: 11-8=3 Exploring Operation: 11*8=88, Resulting Numbers: [5, 88] Generated Node #0,0,1: 93:[5, 88] Operation: 11*8=88 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 93:[5, 3], Operations: ['17-12=5', '11-8=3'] Exploring Operation: 5+3=8, Resulting Numbers: [8] 8,93 unequal: No Solution Exploring Operation: 5-3=2, Resulting Numbers: [2] 2,93 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 93:[5, 88], Operations: ['17-12=5', '11*8=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Moving to Node #0 Current State: 93:[17, 11, 12, 8], Operations: [] Exploring Operation: 17-12=5, Resulting Numbers: [11, 8, 5] Generated Node #0,0: 93:[11, 8, 5] Operation: 17-12=5 Moving to Node #0,0 Current State: 93:[11, 8, 5], Operations: ['17-12=5'] Exploring Operation: 11*8=88, Resulting Numbers: [5, 88] Generated Node #0,0,1: 93:[5, 88] Operation: 11*8=88 Moving to Node #0,0,1 Current State: 93:[5, 88], Operations: ['17-12=5', '11*8=88'] Exploring Operation: 5+88=93, Resulting Numbers: [93] 93,93 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.990451
hs_2
sum_heuristic
[ 29, 36, 66, 31 ]
90
[ "36-29=7", "66+31=97", "97-7=90" ]
Current State: 90:[29, 36, 66, 31], Operations: [] Exploring Operation: 36-29=7, Resulting Numbers: [66, 31, 7] Generated Node #2: [66, 31, 7] from Operation: 36-29=7 Current State: 90:[66, 31, 7], Operations: ['36-29=7'] Exploring Operation: 66+31=97, Resulting Numbers: [7, 97] Generated Node #3: [7, 97] from Operation: 66+31=97 Current State: 90:[7, 97], Operations: ['36-29=7', '66+31=97'] Exploring Operation: 97-7=90, Resulting Numbers: [90] 90,90 equal: Goal Reached
4
Current State: 90:[29, 36, 66, 31], Operations: [] Exploring Operation: 29+66=95, Resulting Numbers: [36, 31, 95] Generated Node #0,0: 90:[36, 31, 95] Operation: 29+66=95 Exploring Operation: 66-36=30, Resulting Numbers: [29, 31, 30] Generated Node #0,1: 90:[29, 31, 30] Operation: 66-36=30 Start Sub Search at level 1: Moving to Node #0,1 Current State: 90:[29, 31, 30], Operations: ['66-36=30'] Exploring Operation: 31-29=2, Resulting Numbers: [30, 2] Generated Node #0,1,0: 90:[30, 2] Operation: 31-29=2 Exploring Operation: 30-29=1, Resulting Numbers: [31, 1] Generated Node #0,1,1: 90:[31, 1] Operation: 30-29=1 Moving to Node #0,1,0 Current State: 90:[30, 2], Operations: ['66-36=30', '31-29=2'] Exploring Operation: 30+2=32, Resulting Numbers: [32] 32,90 unequal: No Solution Exploring Operation: 30/2=15, Resulting Numbers: [15] 15,90 unequal: No Solution Moving to Node #0,1,1 Current State: 90:[31, 1], Operations: ['66-36=30', '30-29=1'] Exploring Operation: 31*1=31, Resulting Numbers: [31] 31,90 unequal: No Solution Exploring Operation: 31-1=30, Resulting Numbers: [30] 30,90 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 90:[36, 31, 95], Operations: ['29+66=95'] Exploring Operation: 36-31=5, Resulting Numbers: [95, 5] Generated Node #0,0,0: 90:[95, 5] Operation: 36-31=5 Exploring Operation: 95-36=59, Resulting Numbers: [31, 59] Generated Node #0,0,1: 90:[31, 59] Operation: 95-36=59 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 90:[95, 5], Operations: ['29+66=95', '36-31=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Moving to Node #0 Current State: 90:[29, 36, 66, 31], Operations: [] Exploring Operation: 29+66=95, Resulting Numbers: [36, 31, 95] Generated Node #0,0: 90:[36, 31, 95] Operation: 29+66=95 Moving to Node #0,0 Current State: 90:[36, 31, 95], Operations: ['29+66=95'] Exploring Operation: 36-31=5, Resulting Numbers: [95, 5] Generated Node #0,0,0: 90:[95, 5] Operation: 36-31=5 Moving to Node #0,0,0 Current State: 90:[95, 5], Operations: ['29+66=95', '36-31=5'] Exploring Operation: 95-5=90, Resulting Numbers: [90] 90,90 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.986979
hs_2
mult_heuristic
[ 92, 37, 60, 23 ]
28
[ "92-37=55", "60+23=83", "83-55=28" ]
Current State: 28:[92, 37, 60, 23], Operations: [] Exploring Operation: 92-37=55, Resulting Numbers: [60, 23, 55] Generated Node #2: [60, 23, 55] from Operation: 92-37=55 Current State: 28:[60, 23, 55], Operations: ['92-37=55'] Exploring Operation: 60+23=83, Resulting Numbers: [55, 83] Generated Node #3: [55, 83] from Operation: 60+23=83 Current State: 28:[55, 83], Operations: ['92-37=55', '60+23=83'] Exploring Operation: 83-55=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
4
Current State: 28:[92, 37, 60, 23], Operations: [] Exploring Operation: 92/23=4, Resulting Numbers: [37, 60, 4] Generated Node #0,0: 28:[37, 60, 4] Operation: 92/23=4 Exploring Operation: 92-60=32, Resulting Numbers: [37, 23, 32] Generated Node #0,1: 28:[37, 23, 32] Operation: 92-60=32 Moving to Node #0,1 Current State: 28:[37, 23, 32], Operations: ['92-60=32'] Exploring Operation: 37-23=14, Resulting Numbers: [32, 14] Generated Node #0,1,0: 28:[32, 14] Operation: 37-23=14 Exploring Operation: 37-32=5, Resulting Numbers: [23, 5] Generated Node #0,1,1: 28:[23, 5] Operation: 37-32=5 Moving to Node #0,0 Current State: 28:[37, 60, 4], Operations: ['92/23=4'] Exploring Operation: 60-37=23, Resulting Numbers: [4, 23] Generated Node #0,0,0: 28:[4, 23] Operation: 60-37=23 Exploring Operation: 60/4=15, Resulting Numbers: [37, 15] Generated Node #0,0,1: 28:[37, 15] Operation: 60/4=15 Moving to Node #0,1,0 Current State: 28:[32, 14], Operations: ['92-60=32', '37-23=14'] Exploring Operation: 32-14=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 32+14=46, Resulting Numbers: [46] 46,28 unequal: No Solution Moving to Node #0,0,0 Current State: 28:[4, 23], Operations: ['92/23=4', '60-37=23'] Exploring Operation: 4+23=27, Resulting Numbers: [27] 27,28 unequal: No Solution Exploring Operation: 23-4=19, Resulting Numbers: [19] 19,28 unequal: No Solution Moving to Node #0,1,1 Current State: 28:[23, 5], Operations: ['92-60=32', '37-32=5'] Exploring Operation: 23-5=18, Resulting Numbers: [18] 18,28 unequal: No Solution Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached Moving to Node #0 Current State: 28:[92, 37, 60, 23], Operations: [] Exploring Operation: 92-60=32, Resulting Numbers: [37, 23, 32] Generated Node #0,1: 28:[37, 23, 32] Operation: 92-60=32 Moving to Node #0,1 Current State: 28:[37, 23, 32], Operations: ['92-60=32'] Exploring Operation: 37-32=5, Resulting Numbers: [23, 5] Generated Node #0,1,1: 28:[23, 5] Operation: 37-32=5 Moving to Node #0,1,1 Current State: 28:[23, 5], Operations: ['92-60=32', '37-32=5'] Exploring Operation: 23+5=28, Resulting Numbers: [28] 28,28 equal: Goal Reached
0.986111
hs_2
sum_heuristic
[ 3, 11, 1, 48 ]
78
[ "11-1=10", "3*10=30", "48+30=78" ]
Current State: 78:[3, 11, 1, 48], Operations: [] Exploring Operation: 11-1=10, Resulting Numbers: [3, 48, 10] Generated Node #2: [3, 48, 10] from Operation: 11-1=10 Current State: 78:[3, 48, 10], Operations: ['11-1=10'] Exploring Operation: 3*10=30, Resulting Numbers: [48, 30] Generated Node #3: [48, 30] from Operation: 3*10=30 Current State: 78:[48, 30], Operations: ['11-1=10', '3*10=30'] Exploring Operation: 48+30=78, Resulting Numbers: [78] 78,78 equal: Goal Reached
4
Current State: 78:[3, 11, 1, 48], Operations: [] Exploring Operation: 48-1=47, Resulting Numbers: [3, 11, 47] Generated Node #0,0: 78:[3, 11, 47] Operation: 48-1=47 Exploring Operation: 48-3=45, Resulting Numbers: [11, 1, 45] Generated Node #0,1: 78:[11, 1, 45] Operation: 48-3=45 Exploring Operation: 48/3=16, Resulting Numbers: [11, 1, 16] Generated Node #0,2: 78:[11, 1, 16] Operation: 48/3=16 Exploring Operation: 48-11=37, Resulting Numbers: [3, 1, 37] Generated Node #0,3: 78:[3, 1, 37] Operation: 48-11=37 Exploring Operation: 11+1=12, Resulting Numbers: [3, 48, 12] Generated Node #0,4: 78:[3, 48, 12] Operation: 11+1=12 Start Sub Search at level 1: Moving to Node #0,3 Current State: 78:[3, 1, 37], Operations: ['48-11=37'] Exploring Operation: 3+37=40, Resulting Numbers: [1, 40] Generated Node #0,3,0: 78:[1, 40] Operation: 3+37=40 Exploring Operation: 3/1=3, Resulting Numbers: [37, 3] Generated Node #0,3,1: 78:[37, 3] Operation: 3/1=3 Exploring Operation: 3*1=3, Resulting Numbers: [37, 3] Generated Node #0,3,2: 78:[37, 3] Operation: 3*1=3 Exploring Operation: 3-1=2, Resulting Numbers: [37, 2] Generated Node #0,3,3: 78:[37, 2] Operation: 3-1=2 Exploring Operation: 1+37=38, Resulting Numbers: [3, 38] Generated Node #0,3,4: 78:[3, 38] Operation: 1+37=38 Start Sub Search at level 2: Moving to Node #0,3,4 Current State: 78:[3, 38], Operations: ['48-11=37', '1+37=38'] Exploring Operation: 3+38=41, Resulting Numbers: [41] 41,78 unequal: No Solution Exploring Operation: 3*38=114, Resulting Numbers: [114] 114,78 unequal: No Solution Exploring Operation: 38-3=35, Resulting Numbers: [35] 35,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,0 Current State: 78:[1, 40], Operations: ['48-11=37', '3+37=40'] Exploring Operation: 40/1=40, Resulting Numbers: [40] 40,78 unequal: No Solution Exploring Operation: 1*40=40, Resulting Numbers: [40] 40,78 unequal: No Solution Exploring Operation: 40-1=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 1+40=41, Resulting Numbers: [41] 41,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,1 Current State: 78:[37, 3], Operations: ['48-11=37', '3/1=3'] Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 37+3=40, Resulting Numbers: [40] 40,78 unequal: No Solution Exploring Operation: 37*3=111, Resulting Numbers: [111] 111,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,2 Current State: 78:[37, 3], Operations: ['48-11=37', '3*1=3'] Exploring Operation: 37+3=40, Resulting Numbers: [40] 40,78 unequal: No Solution Exploring Operation: 37-3=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 37*3=111, Resulting Numbers: [111] 111,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,3,3 Current State: 78:[37, 2], Operations: ['48-11=37', '3-1=2'] Exploring Operation: 37*2=74, Resulting Numbers: [74] 74,78 unequal: No Solution Exploring Operation: 37-2=35, Resulting Numbers: [35] 35,78 unequal: No Solution Exploring Operation: 37+2=39, Resulting Numbers: [39] 39,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 78:[11, 1, 16], Operations: ['48/3=16'] Exploring Operation: 11+16=27, Resulting Numbers: [1, 27] Generated Node #0,2,0: 78:[1, 27] Operation: 11+16=27 Exploring Operation: 16-11=5, Resulting Numbers: [1, 5] Generated Node #0,2,1: 78:[1, 5] Operation: 16-11=5 Exploring Operation: 11*1=11, Resulting Numbers: [16, 11] Generated Node #0,2,2: 78:[16, 11] Operation: 11*1=11 Exploring Operation: 11+1=12, Resulting Numbers: [16, 12] Generated Node #0,2,3: 78:[16, 12] Operation: 11+1=12 Exploring Operation: 16-1=15, Resulting Numbers: [11, 15] Generated Node #0,2,4: 78:[11, 15] Operation: 16-1=15 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 78:[1, 27], Operations: ['48/3=16', '11+16=27'] Exploring Operation: 1+27=28, Resulting Numbers: [28] 28,78 unequal: No Solution Exploring Operation: 27-1=26, Resulting Numbers: [26] 26,78 unequal: No Solution Exploring Operation: 1*27=27, Resulting Numbers: [27] 27,78 unequal: No Solution Exploring Operation: 27/1=27, Resulting Numbers: [27] 27,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 78:[1, 5], Operations: ['48/3=16', '16-11=5'] Exploring Operation: 1+5=6, Resulting Numbers: [6] 6,78 unequal: No Solution Exploring Operation: 5/1=5, Resulting Numbers: [5] 5,78 unequal: No Solution Exploring Operation: 1*5=5, Resulting Numbers: [5] 5,78 unequal: No Solution Exploring Operation: 5-1=4, Resulting Numbers: [4] 4,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 78:[16, 12], Operations: ['48/3=16', '11+1=12'] Exploring Operation: 16+12=28, Resulting Numbers: [28] 28,78 unequal: No Solution Exploring Operation: 16*12=192, Resulting Numbers: [192] 192,78 unequal: No Solution Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,4 Current State: 78:[11, 15], Operations: ['48/3=16', '16-1=15'] Exploring Operation: 11+15=26, Resulting Numbers: [26] 26,78 unequal: No Solution Exploring Operation: 11*15=165, Resulting Numbers: [165] 165,78 unequal: No Solution Exploring Operation: 15-11=4, Resulting Numbers: [4] 4,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 78:[16, 11], Operations: ['48/3=16', '11*1=11'] Exploring Operation: 16*11=176, Resulting Numbers: [176] 176,78 unequal: No Solution Exploring Operation: 16+11=27, Resulting Numbers: [27] 27,78 unequal: No Solution Exploring Operation: 16-11=5, Resulting Numbers: [5] 5,78 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 78:[11, 1, 45], Operations: ['48-3=45'] Exploring Operation: 11/1=11, Resulting Numbers: [45, 11] Generated Node #0,1,0: 78:[45, 11] Operation: 11/1=11 Exploring Operation: 45-11=34, Resulting Numbers: [1, 34] Generated Node #0,1,1: 78:[1, 34] Operation: 45-11=34 Exploring Operation: 11*1=11, Resulting Numbers: [45, 11] Generated Node #0,1,2: 78:[45, 11] Operation: 11*1=11 Exploring Operation: 45-1=44, Resulting Numbers: [11, 44] Generated Node #0,1,3: 78:[11, 44] Operation: 45-1=44 Exploring Operation: 11+1=12, Resulting Numbers: [45, 12] Generated Node #0,1,4: 78:[45, 12] Operation: 11+1=12 Moving to Node #0,1,1 Current State: 78:[1, 34], Operations: ['48-3=45', '45-11=34'] Exploring Operation: 1*34=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 34/1=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 34-1=33, Resulting Numbers: [33] 33,78 unequal: No Solution Exploring Operation: 1+34=35, Resulting Numbers: [35] 35,78 unequal: No Solution Moving to Node #0,1,4 Current State: 78:[45, 12], Operations: ['48-3=45', '11+1=12'] Exploring Operation: 45-12=33, Resulting Numbers: [33] 33,78 unequal: No Solution Exploring Operation: 45+12=57, Resulting Numbers: [57] 57,78 unequal: No Solution Exploring Operation: 45*12=540, Resulting Numbers: [540] 540,78 unequal: No Solution Moving to Node #0,1,3 Current State: 78:[11, 44], Operations: ['48-3=45', '45-1=44'] Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,78 unequal: No Solution Exploring Operation: 11*44=484, Resulting Numbers: [484] 484,78 unequal: No Solution Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,78 unequal: No Solution Exploring Operation: 11+44=55, Resulting Numbers: [55] 55,78 unequal: No Solution Moving to Node #0,1,0 Current State: 78:[45, 11], Operations: ['48-3=45', '11/1=11'] Exploring Operation: 45*11=495, Resulting Numbers: [495] 495,78 unequal: No Solution Exploring Operation: 45-11=34, Resulting Numbers: [34] 34,78 unequal: No Solution Exploring Operation: 45+11=56, Resulting Numbers: [56] 56,78 unequal: No Solution Moving to Node #0,1,2 Current State: 78:[45, 11], Operations: ['48-3=45', '11*1=11'] Exploring Operation: 45+11=56, Resulting Numbers: [56] 56,78 unequal: No Solution Exploring Operation: 45*11=495, Resulting Numbers: [495] 495,78 unequal: No Solution Exploring Operation: 45-11=34, Resulting Numbers: [34] 34,78 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 78:[3, 11, 47], Operations: ['48-1=47'] Exploring Operation: 3+11=14, Resulting Numbers: [47, 14] Generated Node #0,0,0: 78:[47, 14] Operation: 3+11=14 Exploring Operation: 11-3=8, Resulting Numbers: [47, 8] Generated Node #0,0,1: 78:[47, 8] Operation: 11-3=8 Exploring Operation: 47-11=36, Resulting Numbers: [3, 36] Generated Node #0,0,2: 78:[3, 36] Operation: 47-11=36 Exploring Operation: 47-3=44, Resulting Numbers: [11, 44] Generated Node #0,0,3: 78:[11, 44] Operation: 47-3=44 Exploring Operation: 3+47=50, Resulting Numbers: [11, 50] Generated Node #0,0,4: 78:[11, 50] Operation: 3+47=50 Moving to Node #0,0,2 Current State: 78:[3, 36], Operations: ['48-1=47', '47-11=36'] Exploring Operation: 3*36=108, Resulting Numbers: [108] 108,78 unequal: No Solution Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,78 unequal: No Solution Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,78 unequal: No Solution Moving to Node #0,0,3 Current State: 78:[11, 44], Operations: ['48-1=47', '47-3=44'] Exploring Operation: 44/11=4, Resulting Numbers: [4] 4,78 unequal: No Solution Exploring Operation: 44-11=33, Resulting Numbers: [33] 33,78 unequal: No Solution Exploring Operation: 11+44=55, Resulting Numbers: [55] 55,78 unequal: No Solution Exploring Operation: 11*44=484, Resulting Numbers: [484] 484,78 unequal: No Solution Moving to Node #0,0,0 Current State: 78:[47, 14], Operations: ['48-1=47', '3+11=14'] Exploring Operation: 47+14=61, Resulting Numbers: [61] 61,78 unequal: No Solution Exploring Operation: 47-14=33, Resulting Numbers: [33] 33,78 unequal: No Solution Exploring Operation: 47*14=658, Resulting Numbers: [658] 658,78 unequal: No Solution Moving to Node #0,0,1 Current State: 78:[47, 8], Operations: ['48-1=47', '11-3=8'] Exploring Operation: 47-8=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 47*8=376, Resulting Numbers: [376] 376,78 unequal: No Solution Exploring Operation: 47+8=55, Resulting Numbers: [55] 55,78 unequal: No Solution Moving to Node #0,0,4 Current State: 78:[11, 50], Operations: ['48-1=47', '3+47=50'] Exploring Operation: 11+50=61, Resulting Numbers: [61] 61,78 unequal: No Solution Exploring Operation: 11*50=550, Resulting Numbers: [550] 550,78 unequal: No Solution Exploring Operation: 50-11=39, Resulting Numbers: [39] 39,78 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,4 Current State: 78:[3, 48, 12], Operations: ['11+1=12'] Exploring Operation: 48/12=4, Resulting Numbers: [3, 4] Generated Node #0,4,0: 78:[3, 4] Operation: 48/12=4 Exploring Operation: 48-3=45, Resulting Numbers: [12, 45] Generated Node #0,4,1: 78:[12, 45] Operation: 48-3=45 Exploring Operation: 12/3=4, Resulting Numbers: [48, 4] Generated Node #0,4,2: 78:[48, 4] Operation: 12/3=4 Exploring Operation: 48-12=36, Resulting Numbers: [3, 36] Generated Node #0,4,3: 78:[3, 36] Operation: 48-12=36 Exploring Operation: 48/3=16, Resulting Numbers: [12, 16] Generated Node #0,4,4: 78:[12, 16] Operation: 48/3=16 Moving to Node #0,4,0 Current State: 78:[3, 4], Operations: ['11+1=12', '48/12=4'] Exploring Operation: 4-3=1, Resulting Numbers: [1] 1,78 unequal: No Solution Exploring Operation: 3+4=7, Resulting Numbers: [7] 7,78 unequal: No Solution Exploring Operation: 3*4=12, Resulting Numbers: [12] 12,78 unequal: No Solution Moving to Node #0,4,3 Current State: 78:[3, 36], Operations: ['11+1=12', '48-12=36'] Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,78 unequal: No Solution Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,78 unequal: No Solution Exploring Operation: 3*36=108, Resulting Numbers: [108] 108,78 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,78 unequal: No Solution Moving to Node #0,4,4 Current State: 78:[12, 16], Operations: ['11+1=12', '48/3=16'] Exploring Operation: 16-12=4, Resulting Numbers: [4] 4,78 unequal: No Solution Exploring Operation: 12+16=28, Resulting Numbers: [28] 28,78 unequal: No Solution Exploring Operation: 12*16=192, Resulting Numbers: [192] 192,78 unequal: No Solution Moving to Node #0,4,1 Current State: 78:[12, 45], Operations: ['11+1=12', '48-3=45'] Exploring Operation: 12*45=540, Resulting Numbers: [540] 540,78 unequal: No Solution Exploring Operation: 12+45=57, Resulting Numbers: [57] 57,78 unequal: No Solution Exploring Operation: 45-12=33, Resulting Numbers: [33] 33,78 unequal: No Solution Moving to Node #0,4,2 Current State: 78:[48, 4], Operations: ['11+1=12', '12/3=4'] Exploring Operation: 48/4=12, Resulting Numbers: [12] 12,78 unequal: No Solution Exploring Operation: 48+4=52, Resulting Numbers: [52] 52,78 unequal: No Solution Exploring Operation: 48-4=44, Resulting Numbers: [44] 44,78 unequal: No Solution Exploring Operation: 48*4=192, Resulting Numbers: [192] 192,78 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_5
sum_heuristic
[ 75, 81, 84, 39 ]
25
[ "81-75=6", "84/6=14", "39-14=25" ]
Current State: 25:[75, 81, 84, 39], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [84, 39, 6] Generated Node #2: [84, 39, 6] from Operation: 81-75=6 Current State: 25:[84, 39, 6], Operations: ['81-75=6'] Exploring Operation: 84/6=14, Resulting Numbers: [39, 14] Generated Node #3: [39, 14] from Operation: 84/6=14 Current State: 25:[39, 14], Operations: ['81-75=6', '84/6=14'] Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
4
Current State: 25:[75, 81, 84, 39], Operations: [] Exploring Operation: 84-81=3, Resulting Numbers: [75, 39, 3] Generated Node #0,0: 25:[75, 39, 3] Operation: 84-81=3 Exploring Operation: 84-75=9, Resulting Numbers: [81, 39, 9] Generated Node #0,1: 25:[81, 39, 9] Operation: 84-75=9 Exploring Operation: 81-75=6, Resulting Numbers: [84, 39, 6] Generated Node #0,2: 25:[84, 39, 6] Operation: 81-75=6 Moving to Node #0,0 Current State: 25:[75, 39, 3], Operations: ['84-81=3'] Exploring Operation: 75-39=36, Resulting Numbers: [3, 36] Generated Node #0,0,0: 25:[3, 36] Operation: 75-39=36 Exploring Operation: 75/3=25, Resulting Numbers: [39, 25] Generated Node #0,0,1: 25:[39, 25] Operation: 75/3=25 Exploring Operation: 39/3=13, Resulting Numbers: [75, 13] Generated Node #0,0,2: 25:[75, 13] Operation: 39/3=13 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 25:[3, 36], Operations: ['84-81=3', '75-39=36'] Exploring Operation: 36-3=33, Resulting Numbers: [33] 33,25 unequal: No Solution Exploring Operation: 36/3=12, Resulting Numbers: [12] 12,25 unequal: No Solution Exploring Operation: 3+36=39, Resulting Numbers: [39] 39,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 25:[39, 25], Operations: ['84-81=3', '75/3=25'] Exploring Operation: 39*25=975, Resulting Numbers: [975] 975,25 unequal: No Solution Exploring Operation: 39+25=64, Resulting Numbers: [64] 64,25 unequal: No Solution Exploring Operation: 39-25=14, Resulting Numbers: [14] 14,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 25:[75, 13], Operations: ['84-81=3', '39/3=13'] Exploring Operation: 75-13=62, Resulting Numbers: [62] 62,25 unequal: No Solution Exploring Operation: 75+13=88, Resulting Numbers: [88] 88,25 unequal: No Solution Exploring Operation: 75*13=975, Resulting Numbers: [975] 975,25 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Moving to Node #0,1 Current State: 25:[81, 39, 9], Operations: ['84-75=9'] Exploring Operation: 81-39=42, Resulting Numbers: [9, 42] Generated Node #0,1,0: 25:[9, 42] Operation: 81-39=42 Exploring Operation: 81-9=72, Resulting Numbers: [39, 72] Generated Node #0,1,1: 25:[39, 72] Operation: 81-9=72 Exploring Operation: 81/9=9, Resulting Numbers: [39, 9] Generated Node #0,1,2: 25:[39, 9] Operation: 81/9=9 Moving to Node #0,2 Current State: 25:[84, 39, 6], Operations: ['81-75=6'] Exploring Operation: 84-39=45, Resulting Numbers: [6, 45] Generated Node #0,2,0: 25:[6, 45] Operation: 84-39=45 Exploring Operation: 84/6=14, Resulting Numbers: [39, 14] Generated Node #0,2,1: 25:[39, 14] Operation: 84/6=14 Exploring Operation: 84-6=78, Resulting Numbers: [39, 78] Generated Node #0,2,2: 25:[39, 78] Operation: 84-6=78 Moving to Node #0,1,2 Current State: 25:[39, 9], Operations: ['84-75=9', '81/9=9'] Exploring Operation: 39-9=30, Resulting Numbers: [30] 30,25 unequal: No Solution Exploring Operation: 39+9=48, Resulting Numbers: [48] 48,25 unequal: No Solution Exploring Operation: 39*9=351, Resulting Numbers: [351] 351,25 unequal: No Solution Moving to Node #0,1,0 Current State: 25:[9, 42], Operations: ['84-75=9', '81-39=42'] Exploring Operation: 9*42=378, Resulting Numbers: [378] 378,25 unequal: No Solution Exploring Operation: 9+42=51, Resulting Numbers: [51] 51,25 unequal: No Solution Exploring Operation: 42-9=33, Resulting Numbers: [33] 33,25 unequal: No Solution Moving to Node #0,2,0 Current State: 25:[6, 45], Operations: ['81-75=6', '84-39=45'] Exploring Operation: 6*45=270, Resulting Numbers: [270] 270,25 unequal: No Solution Exploring Operation: 6+45=51, Resulting Numbers: [51] 51,25 unequal: No Solution Exploring Operation: 45-6=39, Resulting Numbers: [39] 39,25 unequal: No Solution Moving to Node #0,2,1 Current State: 25:[39, 14], Operations: ['81-75=6', '84/6=14'] Exploring Operation: 39*14=546, Resulting Numbers: [546] 546,25 unequal: No Solution Exploring Operation: 39+14=53, Resulting Numbers: [53] 53,25 unequal: No Solution Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached Moving to Node #0 Current State: 25:[75, 81, 84, 39], Operations: [] Exploring Operation: 81-75=6, Resulting Numbers: [84, 39, 6] Generated Node #0,2: 25:[84, 39, 6] Operation: 81-75=6 Moving to Node #0,2 Current State: 25:[84, 39, 6], Operations: ['81-75=6'] Exploring Operation: 84/6=14, Resulting Numbers: [39, 14] Generated Node #0,2,1: 25:[39, 14] Operation: 84/6=14 Moving to Node #0,2,1 Current State: 25:[39, 14], Operations: ['81-75=6', '84/6=14'] Exploring Operation: 39-14=25, Resulting Numbers: [25] 25,25 equal: Goal Reached
0.967882
hs_3
sum_heuristic
[ 37, 58, 23, 12 ]
10
[ "58-37=21", "23-12=11", "21-11=10" ]
Current State: 10:[37, 58, 23, 12], Operations: [] Exploring Operation: 58-37=21, Resulting Numbers: [23, 12, 21] Generated Node #2: [23, 12, 21] from Operation: 58-37=21 Current State: 10:[23, 12, 21], Operations: ['58-37=21'] Exploring Operation: 23-12=11, Resulting Numbers: [21, 11] Generated Node #3: [21, 11] from Operation: 23-12=11 Current State: 10:[21, 11], Operations: ['58-37=21', '23-12=11'] Exploring Operation: 21-11=10, Resulting Numbers: [10] 10,10 equal: Goal Reached
4
Current State: 10:[37, 58, 23, 12], Operations: [] Exploring Operation: 37-23=14, Resulting Numbers: [58, 12, 14] Generated Node #0,0: 10:[58, 12, 14] Operation: 37-23=14 Exploring Operation: 58-37=21, Resulting Numbers: [23, 12, 21] Generated Node #0,1: 10:[23, 12, 21] Operation: 58-37=21 Start Sub Search at level 1: Moving to Node #0,1 Current State: 10:[23, 12, 21], Operations: ['58-37=21'] Exploring Operation: 23-12=11, Resulting Numbers: [21, 11] Generated Node #0,1,0: 10:[21, 11] Operation: 23-12=11 Exploring Operation: 23-21=2, Resulting Numbers: [12, 2] Generated Node #0,1,1: 10:[12, 2] Operation: 23-21=2 Start Sub Search at level 2: Moving to Node #0,1,1 Current State: 10:[12, 2], Operations: ['58-37=21', '23-21=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Moving to Node #0 Current State: 10:[37, 58, 23, 12], Operations: [] Exploring Operation: 58-37=21, Resulting Numbers: [23, 12, 21] Generated Node #0,1: 10:[23, 12, 21] Operation: 58-37=21 Moving to Node #0,1 Current State: 10:[23, 12, 21], Operations: ['58-37=21'] Exploring Operation: 23-21=2, Resulting Numbers: [12, 2] Generated Node #0,1,1: 10:[12, 2] Operation: 23-21=2 Moving to Node #0,1,1 Current State: 10:[12, 2], Operations: ['58-37=21', '23-21=2'] Exploring Operation: 12-2=10, Resulting Numbers: [10] 10,10 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.992188
hs_2
mult_heuristic
[ 61, 3, 32, 16 ]
21
[ "32/16=2", "61+2=63", "63/3=21" ]
Current State: 21:[61, 3, 32, 16], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [61, 3, 2] Generated Node #2: [61, 3, 2] from Operation: 32/16=2 Current State: 21:[61, 3, 2], Operations: ['32/16=2'] Exploring Operation: 61+2=63, Resulting Numbers: [3, 63] Generated Node #3: [3, 63] from Operation: 61+2=63 Current State: 21:[3, 63], Operations: ['32/16=2', '61+2=63'] Exploring Operation: 63/3=21, Resulting Numbers: [21] 21,21 equal: Goal Reached
4
Current State: 21:[61, 3, 32, 16], Operations: [] Exploring Operation: 32/16=2, Resulting Numbers: [61, 3, 2] Generated Node #0,0: 21:[61, 3, 2] Operation: 32/16=2 Exploring Operation: 61-16=45, Resulting Numbers: [3, 32, 45] Generated Node #0,1: 21:[3, 32, 45] Operation: 61-16=45 Exploring Operation: 61-32=29, Resulting Numbers: [3, 16, 29] Generated Node #0,2: 21:[3, 16, 29] Operation: 61-32=29 Moving to Node #0,2 Current State: 21:[3, 16, 29], Operations: ['61-32=29'] Exploring Operation: 29-16=13, Resulting Numbers: [3, 13] Generated Node #0,2,0: 21:[3, 13] Operation: 29-16=13 Exploring Operation: 3+16=19, Resulting Numbers: [29, 19] Generated Node #0,2,1: 21:[29, 19] Operation: 3+16=19 Exploring Operation: 29-3=26, Resulting Numbers: [16, 26] Generated Node #0,2,2: 21:[16, 26] Operation: 29-3=26 Moving to Node #0,1 Current State: 21:[3, 32, 45], Operations: ['61-16=45'] Exploring Operation: 45-32=13, Resulting Numbers: [3, 13] Generated Node #0,1,0: 21:[3, 13] Operation: 45-32=13 Exploring Operation: 32-3=29, Resulting Numbers: [45, 29] Generated Node #0,1,1: 21:[45, 29] Operation: 32-3=29 Exploring Operation: 45/3=15, Resulting Numbers: [32, 15] Generated Node #0,1,2: 21:[32, 15] Operation: 45/3=15 Moving to Node #0,0 Current State: 21:[61, 3, 2], Operations: ['32/16=2'] Exploring Operation: 61-2=59, Resulting Numbers: [3, 59] Generated Node #0,0,0: 21:[3, 59] Operation: 61-2=59 Exploring Operation: 61-3=58, Resulting Numbers: [2, 58] Generated Node #0,0,1: 21:[2, 58] Operation: 61-3=58 Exploring Operation: 3*2=6, Resulting Numbers: [61, 6] Generated Node #0,0,2: 21:[61, 6] Operation: 3*2=6 Moving to Node #0,2,0 Current State: 21:[3, 13], Operations: ['61-32=29', '29-16=13'] Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,21 unequal: No Solution Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,21 unequal: No Solution Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,21 unequal: No Solution Moving to Node #0,1,0 Current State: 21:[3, 13], Operations: ['61-16=45', '45-32=13'] Exploring Operation: 13-3=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 3+13=16, Resulting Numbers: [16] 16,21 unequal: No Solution Exploring Operation: 3*13=39, Resulting Numbers: [39] 39,21 unequal: No Solution Moving to Node #0,2,2 Current State: 21:[16, 26], Operations: ['61-32=29', '29-3=26'] Exploring Operation: 26-16=10, Resulting Numbers: [10] 10,21 unequal: No Solution Exploring Operation: 16+26=42, Resulting Numbers: [42] 42,21 unequal: No Solution Exploring Operation: 16*26=416, Resulting Numbers: [416] 416,21 unequal: No Solution Moving to Node #0,2,1 Current State: 21:[29, 19], Operations: ['61-32=29', '3+16=19'] Exploring Operation: 29*19=551, Resulting Numbers: [551] 551,21 unequal: No Solution Exploring Operation: 29+19=48, Resulting Numbers: [48] 48,21 unequal: No Solution Exploring Operation: 29-19=10, Resulting Numbers: [10] 10,21 unequal: No Solution Moving to Node #0,1,2 Current State: 21:[32, 15], Operations: ['61-16=45', '45/3=15'] Exploring Operation: 32+15=47, Resulting Numbers: [47] 47,21 unequal: No Solution Exploring Operation: 32-15=17, Resulting Numbers: [17] 17,21 unequal: No Solution Exploring Operation: 32*15=480, Resulting Numbers: [480] 480,21 unequal: No Solution Moving to Node #0,1,1 Current State: 21:[45, 29], Operations: ['61-16=45', '32-3=29'] Exploring Operation: 45-29=16, Resulting Numbers: [16] 16,21 unequal: No Solution Exploring Operation: 45*29=1305, Resulting Numbers: [1305] 1305,21 unequal: No Solution Exploring Operation: 45+29=74, Resulting Numbers: [74] 74,21 unequal: No Solution Moving to Node #0,0,0 Current State: 21:[3, 59], Operations: ['32/16=2', '61-2=59'] Exploring Operation: 3*59=177, Resulting Numbers: [177] 177,21 unequal: No Solution Exploring Operation: 59-3=56, Resulting Numbers: [56] 56,21 unequal: No Solution Exploring Operation: 3+59=62, Resulting Numbers: [62] 62,21 unequal: No Solution Moving to Node #0,0,1 Current State: 21:[2, 58], Operations: ['32/16=2', '61-3=58'] Exploring Operation: 58-2=56, Resulting Numbers: [56] 56,21 unequal: No Solution Exploring Operation: 58/2=29, Resulting Numbers: [29] 29,21 unequal: No Solution Exploring Operation: 2+58=60, Resulting Numbers: [60] 60,21 unequal: No Solution Moving to Node #0,0,2 Current State: 21:[61, 6], Operations: ['32/16=2', '3*2=6'] Exploring Operation: 61+6=67, Resulting Numbers: [67] 67,21 unequal: No Solution Exploring Operation: 61*6=366, Resulting Numbers: [366] 366,21 unequal: No Solution Exploring Operation: 61-6=55, Resulting Numbers: [55] 55,21 unequal: No Solution No solution found.
0
hs_3
mult_heuristic
[ 67, 7, 12, 57 ]
82
[ "67-57=10", "7*10=70", "12+70=82" ]
Current State: 82:[67, 7, 12, 57], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [7, 12, 10] Generated Node #2: [7, 12, 10] from Operation: 67-57=10 Current State: 82:[7, 12, 10], Operations: ['67-57=10'] Exploring Operation: 7*10=70, Resulting Numbers: [12, 70] Generated Node #3: [12, 70] from Operation: 7*10=70 Current State: 82:[12, 70], Operations: ['67-57=10', '7*10=70'] Exploring Operation: 12+70=82, Resulting Numbers: [82] 82,82 equal: Goal Reached
4
Current State: 82:[67, 7, 12, 57], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [7, 12, 10] Generated Node #0,0: 82:[7, 12, 10] Operation: 67-57=10 Exploring Operation: 67+12=79, Resulting Numbers: [7, 57, 79] Generated Node #0,1: 82:[7, 57, 79] Operation: 67+12=79 Exploring Operation: 12+57=69, Resulting Numbers: [67, 7, 69] Generated Node #0,2: 82:[67, 7, 69] Operation: 12+57=69 Exploring Operation: 57-12=45, Resulting Numbers: [67, 7, 45] Generated Node #0,3: 82:[67, 7, 45] Operation: 57-12=45 Exploring Operation: 7*12=84, Resulting Numbers: [67, 57, 84] Generated Node #0,4: 82:[67, 57, 84] Operation: 7*12=84 Moving to Node #0,0 Current State: 82:[7, 12, 10], Operations: ['67-57=10'] Exploring Operation: 7*10=70, Resulting Numbers: [12, 70] Generated Node #0,0,0: 82:[12, 70] Operation: 7*10=70 Exploring Operation: 7*12=84, Resulting Numbers: [10, 84] Generated Node #0,0,1: 82:[10, 84] Operation: 7*12=84 Exploring Operation: 12-7=5, Resulting Numbers: [10, 5] Generated Node #0,0,2: 82:[10, 5] Operation: 12-7=5 Exploring Operation: 10-7=3, Resulting Numbers: [12, 3] Generated Node #0,0,3: 82:[12, 3] Operation: 10-7=3 Exploring Operation: 12-10=2, Resulting Numbers: [7, 2] Generated Node #0,0,4: 82:[7, 2] Operation: 12-10=2 Start Sub Search at level 1: Moving to Node #0,0,4 Current State: 82:[7, 2], Operations: ['67-57=10', '12-10=2'] Exploring Operation: 7+2=9, Resulting Numbers: [9] 9,82 unequal: No Solution Exploring Operation: 7*2=14, Resulting Numbers: [14] 14,82 unequal: No Solution Exploring Operation: 7-2=5, Resulting Numbers: [5] 5,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,1 Current State: 82:[10, 84], Operations: ['67-57=10', '7*12=84'] Exploring Operation: 84-10=74, Resulting Numbers: [74] 74,82 unequal: No Solution Exploring Operation: 10*84=840, Resulting Numbers: [840] 840,82 unequal: No Solution Exploring Operation: 10+84=94, Resulting Numbers: [94] 94,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,2 Current State: 82:[10, 5], Operations: ['67-57=10', '12-7=5'] Exploring Operation: 10/5=2, Resulting Numbers: [2] 2,82 unequal: No Solution Exploring Operation: 10+5=15, Resulting Numbers: [15] 15,82 unequal: No Solution Exploring Operation: 10*5=50, Resulting Numbers: [50] 50,82 unequal: No Solution Exploring Operation: 10-5=5, Resulting Numbers: [5] 5,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,3 Current State: 82:[12, 3], Operations: ['67-57=10', '10-7=3'] Exploring Operation: 12+3=15, Resulting Numbers: [15] 15,82 unequal: No Solution Exploring Operation: 12/3=4, Resulting Numbers: [4] 4,82 unequal: No Solution Exploring Operation: 12-3=9, Resulting Numbers: [9] 9,82 unequal: No Solution Exploring Operation: 12*3=36, Resulting Numbers: [36] 36,82 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 82:[12, 70], Operations: ['67-57=10', '7*10=70'] Exploring Operation: 12*70=840, Resulting Numbers: [840] 840,82 unequal: No Solution Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,82 unequal: No Solution Exploring Operation: 12+70=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Moving to Node #0 Current State: 82:[67, 7, 12, 57], Operations: [] Exploring Operation: 67-57=10, Resulting Numbers: [7, 12, 10] Generated Node #0,0: 82:[7, 12, 10] Operation: 67-57=10 Moving to Node #0,0 Current State: 82:[7, 12, 10], Operations: ['67-57=10'] Exploring Operation: 7*10=70, Resulting Numbers: [12, 70] Generated Node #0,0,0: 82:[12, 70] Operation: 7*10=70 Moving to Node #0,0,0 Current State: 82:[12, 70], Operations: ['67-57=10', '7*10=70'] Exploring Operation: 12+70=82, Resulting Numbers: [82] 82,82 equal: Goal Reached Exit Sub Search at level 1
0.97309
hs_5
mult_heuristic
[ 41, 25, 4, 46 ]
43
[ "46-25=21", "4*21=84", "84-41=43" ]
Current State: 43:[41, 25, 4, 46], Operations: [] Exploring Operation: 46-25=21, Resulting Numbers: [41, 4, 21] Generated Node #2: [41, 4, 21] from Operation: 46-25=21 Current State: 43:[41, 4, 21], Operations: ['46-25=21'] Exploring Operation: 4*21=84, Resulting Numbers: [41, 84] Generated Node #3: [41, 84] from Operation: 4*21=84 Current State: 43:[41, 84], Operations: ['46-25=21', '4*21=84'] Exploring Operation: 84-41=43, Resulting Numbers: [43] 43,43 equal: Goal Reached
4
Current State: 43:[41, 25, 4, 46], Operations: [] Exploring Operation: 25+4=29, Resulting Numbers: [41, 46, 29] Generated Node #0,0: 43:[41, 46, 29] Operation: 25+4=29 Exploring Operation: 46-4=42, Resulting Numbers: [41, 25, 42] Generated Node #0,1: 43:[41, 25, 42] Operation: 46-4=42 Exploring Operation: 41+4=45, Resulting Numbers: [25, 46, 45] Generated Node #0,2: 43:[25, 46, 45] Operation: 41+4=45 Start Sub Search at level 1: Moving to Node #0,0 Current State: 43:[41, 46, 29], Operations: ['25+4=29'] Exploring Operation: 41+29=70, Resulting Numbers: [46, 70] Generated Node #0,0,0: 43:[46, 70] Operation: 41+29=70 Exploring Operation: 41-29=12, Resulting Numbers: [46, 12] Generated Node #0,0,1: 43:[46, 12] Operation: 41-29=12 Exploring Operation: 46-29=17, Resulting Numbers: [41, 17] Generated Node #0,0,2: 43:[41, 17] Operation: 46-29=17 Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 43:[41, 17], Operations: ['25+4=29', '46-29=17'] Exploring Operation: 41*17=697, Resulting Numbers: [697] 697,43 unequal: No Solution Exploring Operation: 41-17=24, Resulting Numbers: [24] 24,43 unequal: No Solution Exploring Operation: 41+17=58, Resulting Numbers: [58] 58,43 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 43:[46, 70], Operations: ['25+4=29', '41+29=70'] Exploring Operation: 70-46=24, Resulting Numbers: [24] 24,43 unequal: No Solution Exploring Operation: 46+70=116, Resulting Numbers: [116] 116,43 unequal: No Solution Exploring Operation: 46*70=3220, Resulting Numbers: [3220] 3220,43 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 43:[46, 12], Operations: ['25+4=29', '41-29=12'] Exploring Operation: 46-12=34, Resulting Numbers: [34] 34,43 unequal: No Solution Exploring Operation: 46+12=58, Resulting Numbers: [58] 58,43 unequal: No Solution Exploring Operation: 46*12=552, Resulting Numbers: [552] 552,43 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,1 Current State: 43:[41, 25, 42], Operations: ['46-4=42'] Exploring Operation: 41-25=16, Resulting Numbers: [42, 16] Generated Node #0,1,0: 43:[42, 16] Operation: 41-25=16 Exploring Operation: 25+42=67, Resulting Numbers: [41, 67] Generated Node #0,1,1: 43:[41, 67] Operation: 25+42=67 Exploring Operation: 41+25=66, Resulting Numbers: [42, 66] Generated Node #0,1,2: 43:[42, 66] Operation: 41+25=66 Moving to Node #0,1,2 Current State: 43:[42, 66], Operations: ['46-4=42', '41+25=66'] Exploring Operation: 42*66=2772, Resulting Numbers: [2772] 2772,43 unequal: No Solution Exploring Operation: 42+66=108, Resulting Numbers: [108] 108,43 unequal: No Solution Exploring Operation: 66-42=24, Resulting Numbers: [24] 24,43 unequal: No Solution Moving to Node #0,1,1 Current State: 43:[41, 67], Operations: ['46-4=42', '25+42=67'] Exploring Operation: 67-41=26, Resulting Numbers: [26] 26,43 unequal: No Solution Exploring Operation: 41*67=2747, Resulting Numbers: [2747] 2747,43 unequal: No Solution Exploring Operation: 41+67=108, Resulting Numbers: [108] 108,43 unequal: No Solution Moving to Node #0,1,0 Current State: 43:[42, 16], Operations: ['46-4=42', '41-25=16'] Exploring Operation: 42*16=672, Resulting Numbers: [672] 672,43 unequal: No Solution Exploring Operation: 42-16=26, Resulting Numbers: [26] 26,43 unequal: No Solution Exploring Operation: 42+16=58, Resulting Numbers: [58] 58,43 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 43:[25, 46, 45], Operations: ['41+4=45'] Exploring Operation: 46-25=21, Resulting Numbers: [45, 21] Generated Node #0,2,0: 43:[45, 21] Operation: 46-25=21 Exploring Operation: 45-25=20, Resulting Numbers: [46, 20] Generated Node #0,2,1: 43:[46, 20] Operation: 45-25=20 Exploring Operation: 25+46=71, Resulting Numbers: [45, 71] Generated Node #0,2,2: 43:[45, 71] Operation: 25+46=71 Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 43:[45, 21], Operations: ['41+4=45', '46-25=21'] Exploring Operation: 45-21=24, Resulting Numbers: [24] 24,43 unequal: No Solution Exploring Operation: 45+21=66, Resulting Numbers: [66] 66,43 unequal: No Solution Exploring Operation: 45*21=945, Resulting Numbers: [945] 945,43 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 43:[46, 20], Operations: ['41+4=45', '45-25=20'] Exploring Operation: 46*20=920, Resulting Numbers: [920] 920,43 unequal: No Solution Exploring Operation: 46-20=26, Resulting Numbers: [26] 26,43 unequal: No Solution Exploring Operation: 46+20=66, Resulting Numbers: [66] 66,43 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 43:[45, 71], Operations: ['41+4=45', '25+46=71'] Exploring Operation: 45*71=3195, Resulting Numbers: [3195] 3195,43 unequal: No Solution Exploring Operation: 71-45=26, Resulting Numbers: [26] 26,43 unequal: No Solution Exploring Operation: 45+71=116, Resulting Numbers: [116] 116,43 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_3
mult_heuristic
[ 25, 72, 99, 39 ]
41
[ "25+72=97", "99+39=138", "138-97=41" ]
Current State: 41:[25, 72, 99, 39], Operations: [] Exploring Operation: 25+72=97, Resulting Numbers: [99, 39, 97] Generated Node #2: [99, 39, 97] from Operation: 25+72=97 Current State: 41:[99, 39, 97], Operations: ['25+72=97'] Exploring Operation: 99+39=138, Resulting Numbers: [97, 138] Generated Node #3: [97, 138] from Operation: 99+39=138 Current State: 41:[97, 138], Operations: ['25+72=97', '99+39=138'] Exploring Operation: 138-97=41, Resulting Numbers: [41] 41,41 equal: Goal Reached
4
Current State: 41:[25, 72, 99, 39], Operations: [] Exploring Operation: 99-72=27, Resulting Numbers: [25, 39, 27] Generated Node #0,0: 41:[25, 39, 27] Operation: 99-72=27 Exploring Operation: 99-25=74, Resulting Numbers: [72, 39, 74] Generated Node #0,1: 41:[72, 39, 74] Operation: 99-25=74 Exploring Operation: 99-39=60, Resulting Numbers: [25, 72, 60] Generated Node #0,2: 41:[25, 72, 60] Operation: 99-39=60 Exploring Operation: 72-25=47, Resulting Numbers: [99, 39, 47] Generated Node #0,3: 41:[99, 39, 47] Operation: 72-25=47 Exploring Operation: 72-39=33, Resulting Numbers: [25, 99, 33] Generated Node #0,4: 41:[25, 99, 33] Operation: 72-39=33 Start Sub Search at level 1: Moving to Node #0,0 Current State: 41:[25, 39, 27], Operations: ['99-72=27'] Exploring Operation: 25+27=52, Resulting Numbers: [39, 52] Generated Node #0,0,0: 41:[39, 52] Operation: 25+27=52 Exploring Operation: 39+27=66, Resulting Numbers: [25, 66] Generated Node #0,0,1: 41:[25, 66] Operation: 39+27=66 Exploring Operation: 27-25=2, Resulting Numbers: [39, 2] Generated Node #0,0,2: 41:[39, 2] Operation: 27-25=2 Exploring Operation: 25+39=64, Resulting Numbers: [27, 64] Generated Node #0,0,3: 41:[27, 64] Operation: 25+39=64 Exploring Operation: 39-25=14, Resulting Numbers: [27, 14] Generated Node #0,0,4: 41:[27, 14] Operation: 39-25=14 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 41:[39, 52], Operations: ['99-72=27', '25+27=52'] Exploring Operation: 39*52=2028, Resulting Numbers: [2028] 2028,41 unequal: No Solution Exploring Operation: 39+52=91, Resulting Numbers: [91] 91,41 unequal: No Solution Exploring Operation: 52-39=13, Resulting Numbers: [13] 13,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 41:[27, 64], Operations: ['99-72=27', '25+39=64'] Exploring Operation: 27+64=91, Resulting Numbers: [91] 91,41 unequal: No Solution Exploring Operation: 27*64=1728, Resulting Numbers: [1728] 1728,41 unequal: No Solution Exploring Operation: 64-27=37, Resulting Numbers: [37] 37,41 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 41:[25, 66], Operations: ['99-72=27', '39+27=66'] Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Moving to Node #0 Current State: 41:[25, 72, 99, 39], Operations: [] Exploring Operation: 99-72=27, Resulting Numbers: [25, 39, 27] Generated Node #0,0: 41:[25, 39, 27] Operation: 99-72=27 Moving to Node #0,0 Current State: 41:[25, 39, 27], Operations: ['99-72=27'] Exploring Operation: 39+27=66, Resulting Numbers: [25, 66] Generated Node #0,0,1: 41:[25, 66] Operation: 39+27=66 Moving to Node #0,0,1 Current State: 41:[25, 66], Operations: ['99-72=27', '39+27=66'] Exploring Operation: 66-25=41, Resulting Numbers: [41] 41,41 equal: Goal Reached Exit Sub Search at level 2 Exit Sub Search at level 1
0.981771
hs_5
mult_heuristic
[ 70, 77, 50, 15 ]
79
[ "50-15=35", "70/35=2", "77+2=79" ]
Current State: 79:[70, 77, 50, 15], Operations: [] Exploring Operation: 50-15=35, Resulting Numbers: [70, 77, 35] Generated Node #2: [70, 77, 35] from Operation: 50-15=35 Current State: 79:[70, 77, 35], Operations: ['50-15=35'] Exploring Operation: 70/35=2, Resulting Numbers: [77, 2] Generated Node #3: [77, 2] from Operation: 70/35=2 Current State: 79:[77, 2], Operations: ['50-15=35', '70/35=2'] Exploring Operation: 77+2=79, Resulting Numbers: [79] 79,79 equal: Goal Reached
4
Current State: 79:[70, 77, 50, 15], Operations: [] Exploring Operation: 70-15=55, Resulting Numbers: [77, 50, 55] Generated Node #0,0: 79:[77, 50, 55] Operation: 70-15=55 Exploring Operation: 50+15=65, Resulting Numbers: [70, 77, 65] Generated Node #0,1: 79:[70, 77, 65] Operation: 50+15=65 Exploring Operation: 70+15=85, Resulting Numbers: [77, 50, 85] Generated Node #0,2: 79:[77, 50, 85] Operation: 70+15=85 Exploring Operation: 77+15=92, Resulting Numbers: [70, 50, 92] Generated Node #0,3: 79:[70, 50, 92] Operation: 77+15=92 Start Sub Search at level 1: Moving to Node #0,1 Current State: 79:[70, 77, 65], Operations: ['50+15=65'] Exploring Operation: 70+65=135, Resulting Numbers: [77, 135] Generated Node #0,1,0: 79:[77, 135] Operation: 70+65=135 Exploring Operation: 77+65=142, Resulting Numbers: [70, 142] Generated Node #0,1,1: 79:[70, 142] Operation: 77+65=142 Exploring Operation: 77-65=12, Resulting Numbers: [70, 12] Generated Node #0,1,2: 79:[70, 12] Operation: 77-65=12 Exploring Operation: 70-65=5, Resulting Numbers: [77, 5] Generated Node #0,1,3: 79:[77, 5] Operation: 70-65=5 Moving to Node #0,1,0 Current State: 79:[77, 135], Operations: ['50+15=65', '70+65=135'] Exploring Operation: 77+135=212, Resulting Numbers: [212] 212,79 unequal: No Solution Exploring Operation: 77*135=10395, Resulting Numbers: [10395] 10395,79 unequal: No Solution Exploring Operation: 135-77=58, Resulting Numbers: [58] 58,79 unequal: No Solution Moving to Node #0,1,1 Current State: 79:[70, 142], Operations: ['50+15=65', '77+65=142'] Exploring Operation: 70+142=212, Resulting Numbers: [212] 212,79 unequal: No Solution Exploring Operation: 70*142=9940, Resulting Numbers: [9940] 9940,79 unequal: No Solution Exploring Operation: 142-70=72, Resulting Numbers: [72] 72,79 unequal: No Solution Moving to Node #0,1,3 Current State: 79:[77, 5], Operations: ['50+15=65', '70-65=5'] Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 77*5=385, Resulting Numbers: [385] 385,79 unequal: No Solution Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,79 unequal: No Solution Moving to Node #0,1,2 Current State: 79:[70, 12], Operations: ['50+15=65', '77-65=12'] Exploring Operation: 70+12=82, Resulting Numbers: [82] 82,79 unequal: No Solution Exploring Operation: 70-12=58, Resulting Numbers: [58] 58,79 unequal: No Solution Exploring Operation: 70*12=840, Resulting Numbers: [840] 840,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,2 Current State: 79:[77, 50, 85], Operations: ['70+15=85'] Exploring Operation: 50+85=135, Resulting Numbers: [77, 135] Generated Node #0,2,0: 79:[77, 135] Operation: 50+85=135 Exploring Operation: 85-50=35, Resulting Numbers: [77, 35] Generated Node #0,2,1: 79:[77, 35] Operation: 85-50=35 Exploring Operation: 77+50=127, Resulting Numbers: [85, 127] Generated Node #0,2,2: 79:[85, 127] Operation: 77+50=127 Exploring Operation: 77-50=27, Resulting Numbers: [85, 27] Generated Node #0,2,3: 79:[85, 27] Operation: 77-50=27 Start Sub Search at level 2: Moving to Node #0,2,1 Current State: 79:[77, 35], Operations: ['70+15=85', '85-50=35'] Exploring Operation: 77*35=2695, Resulting Numbers: [2695] 2695,79 unequal: No Solution Exploring Operation: 77+35=112, Resulting Numbers: [112] 112,79 unequal: No Solution Exploring Operation: 77-35=42, Resulting Numbers: [42] 42,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,2 Current State: 79:[85, 127], Operations: ['70+15=85', '77+50=127'] Exploring Operation: 127-85=42, Resulting Numbers: [42] 42,79 unequal: No Solution Exploring Operation: 85+127=212, Resulting Numbers: [212] 212,79 unequal: No Solution Exploring Operation: 85*127=10795, Resulting Numbers: [10795] 10795,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,0 Current State: 79:[77, 135], Operations: ['70+15=85', '50+85=135'] Exploring Operation: 77+135=212, Resulting Numbers: [212] 212,79 unequal: No Solution Exploring Operation: 77*135=10395, Resulting Numbers: [10395] 10395,79 unequal: No Solution Exploring Operation: 135-77=58, Resulting Numbers: [58] 58,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,2,3 Current State: 79:[85, 27], Operations: ['70+15=85', '77-50=27'] Exploring Operation: 85*27=2295, Resulting Numbers: [2295] 2295,79 unequal: No Solution Exploring Operation: 85+27=112, Resulting Numbers: [112] 112,79 unequal: No Solution Exploring Operation: 85-27=58, Resulting Numbers: [58] 58,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,3 Current State: 79:[70, 50, 92], Operations: ['77+15=92'] Exploring Operation: 70-50=20, Resulting Numbers: [92, 20] Generated Node #0,3,0: 79:[92, 20] Operation: 70-50=20 Exploring Operation: 50+92=142, Resulting Numbers: [70, 142] Generated Node #0,3,1: 79:[70, 142] Operation: 50+92=142 Exploring Operation: 92-50=42, Resulting Numbers: [70, 42] Generated Node #0,3,2: 79:[70, 42] Operation: 92-50=42 Exploring Operation: 70+50=120, Resulting Numbers: [92, 120] Generated Node #0,3,3: 79:[92, 120] Operation: 70+50=120 Moving to Node #0,3,2 Current State: 79:[70, 42], Operations: ['77+15=92', '92-50=42'] Exploring Operation: 70+42=112, Resulting Numbers: [112] 112,79 unequal: No Solution Exploring Operation: 70-42=28, Resulting Numbers: [28] 28,79 unequal: No Solution Exploring Operation: 70*42=2940, Resulting Numbers: [2940] 2940,79 unequal: No Solution Moving to Node #0,3,3 Current State: 79:[92, 120], Operations: ['77+15=92', '70+50=120'] Exploring Operation: 92+120=212, Resulting Numbers: [212] 212,79 unequal: No Solution Exploring Operation: 92*120=11040, Resulting Numbers: [11040] 11040,79 unequal: No Solution Exploring Operation: 120-92=28, Resulting Numbers: [28] 28,79 unequal: No Solution Moving to Node #0,3,1 Current State: 79:[70, 142], Operations: ['77+15=92', '50+92=142'] Exploring Operation: 70+142=212, Resulting Numbers: [212] 212,79 unequal: No Solution Exploring Operation: 70*142=9940, Resulting Numbers: [9940] 9940,79 unequal: No Solution Exploring Operation: 142-70=72, Resulting Numbers: [72] 72,79 unequal: No Solution Moving to Node #0,3,0 Current State: 79:[92, 20], Operations: ['77+15=92', '70-50=20'] Exploring Operation: 92*20=1840, Resulting Numbers: [1840] 1840,79 unequal: No Solution Exploring Operation: 92-20=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 92+20=112, Resulting Numbers: [112] 112,79 unequal: No Solution No solution found. Exit Sub Search at level 1 No solution found in sub search Start Sub Search at level 1: Moving to Node #0,0 Current State: 79:[77, 50, 55], Operations: ['70-15=55'] Exploring Operation: 50+55=105, Resulting Numbers: [77, 105] Generated Node #0,0,0: 79:[77, 105] Operation: 50+55=105 Exploring Operation: 55-50=5, Resulting Numbers: [77, 5] Generated Node #0,0,1: 79:[77, 5] Operation: 55-50=5 Exploring Operation: 77+50=127, Resulting Numbers: [55, 127] Generated Node #0,0,2: 79:[55, 127] Operation: 77+50=127 Exploring Operation: 77-50=27, Resulting Numbers: [55, 27] Generated Node #0,0,3: 79:[55, 27] Operation: 77-50=27 Start Sub Search at level 2: Moving to Node #0,0,0 Current State: 79:[77, 105], Operations: ['70-15=55', '50+55=105'] Exploring Operation: 77*105=8085, Resulting Numbers: [8085] 8085,79 unequal: No Solution Exploring Operation: 105-77=28, Resulting Numbers: [28] 28,79 unequal: No Solution Exploring Operation: 77+105=182, Resulting Numbers: [182] 182,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,2 Current State: 79:[55, 127], Operations: ['70-15=55', '77+50=127'] Exploring Operation: 55+127=182, Resulting Numbers: [182] 182,79 unequal: No Solution Exploring Operation: 55*127=6985, Resulting Numbers: [6985] 6985,79 unequal: No Solution Exploring Operation: 127-55=72, Resulting Numbers: [72] 72,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,1 Current State: 79:[77, 5], Operations: ['70-15=55', '55-50=5'] Exploring Operation: 77*5=385, Resulting Numbers: [385] 385,79 unequal: No Solution Exploring Operation: 77-5=72, Resulting Numbers: [72] 72,79 unequal: No Solution Exploring Operation: 77+5=82, Resulting Numbers: [82] 82,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search Start Sub Search at level 2: Moving to Node #0,0,3 Current State: 79:[55, 27], Operations: ['70-15=55', '77-50=27'] Exploring Operation: 55+27=82, Resulting Numbers: [82] 82,79 unequal: No Solution Exploring Operation: 55-27=28, Resulting Numbers: [28] 28,79 unequal: No Solution Exploring Operation: 55*27=1485, Resulting Numbers: [1485] 1485,79 unequal: No Solution No solution found. Exit Sub Search at level 2 No solution found in sub search No solution found. Exit Sub Search at level 1 No solution found in sub search No solution found.
0
hs_4
sum_heuristic
[ 78, 78, 40, 23 ]
17
[ "78-78=0", "40-23=17", "0+17=17" ]
Current State: 17:[78, 78, 40, 23], Operations: [] Exploring Operation: 78-78=0, Resulting Numbers: [40, 23, 0] Generated Node #2: [40, 23, 0] from Operation: 78-78=0 Current State: 17:[40, 23, 0], Operations: ['78-78=0'] Exploring Operation: 40-23=17, Resulting Numbers: [0, 17] Generated Node #3: [0, 17] from Operation: 40-23=17 Current State: 17:[0, 17], Operations: ['78-78=0', '40-23=17'] Exploring Operation: 0+17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached
4
Current State: 17:[78, 78, 40, 23], Operations: [] Exploring Operation: 78/78=1, Resulting Numbers: [40, 23, 1] Generated Node #0,0: 17:[40, 23, 1] Operation: 78/78=1 Moving to Node #0,0 Current State: 17:[40, 23, 1], Operations: ['78/78=1'] Exploring Operation: 40-23=17, Resulting Numbers: [1, 17] Generated Node #0,0,0: 17:[1, 17] Operation: 40-23=17 Start Sub Search at level 1: Moving to Node #0,0,0 Current State: 17:[1, 17], Operations: ['78/78=1', '40-23=17'] Exploring Operation: 1*17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Moving to Node #0 Current State: 17:[78, 78, 40, 23], Operations: [] Exploring Operation: 78/78=1, Resulting Numbers: [40, 23, 1] Generated Node #0,0: 17:[40, 23, 1] Operation: 78/78=1 Moving to Node #0,0 Current State: 17:[40, 23, 1], Operations: ['78/78=1'] Exploring Operation: 40-23=17, Resulting Numbers: [1, 17] Generated Node #0,0,0: 17:[1, 17] Operation: 40-23=17 Moving to Node #0,0,0 Current State: 17:[1, 17], Operations: ['78/78=1', '40-23=17'] Exploring Operation: 1*17=17, Resulting Numbers: [17] 17,17 equal: Goal Reached Exit Sub Search at level 1
0.993924
hs_1
mult_heuristic