Datasets:

---

chloeli

/

stream-of-search-countdown-10k

like 1

[ 90, 11, 37, 95 ]

[ "90+95=185", "11*185=2035", "2035/37=55" ]

[ { "content": "Make 55 with the numbers [90, 11, 37, 95] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 95-90=5, Resulting Numbers: [11, 37, 5]\nGenerated Node #0,0: 55:[11, 37, 5] Operation: 95-90=5\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11+37=48, Resulting Numbers: [5, 48]\nGenerated Node #0,0,0: 55:[5, 48] Operation: 11+37=48\nMoving to Node #0,0,0\nCurrent State: 55:[5, 48], Operations: ['95-90=5', '11+37=48']\nExploring Operation: 5+48=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 55:[5, 48], Operations: ['95-90=5', '11+37=48']\nExploring Operation: 48-5=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 37+5=42, Resulting Numbers: [11, 42]\nGenerated Node #0,0,1: 55:[11, 42] Operation: 37+5=42\nMoving to Node #0,0,1\nCurrent State: 55:[11, 42], Operations: ['95-90=5', '37+5=42']\nExploring Operation: 11+42=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 55:[11, 42], Operations: ['95-90=5', '37+5=42']\nExploring Operation: 42-11=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 37-11=26, Resulting Numbers: [5, 26]\nGenerated Node #0,0,2: 55:[5, 26] Operation: 37-11=26\nMoving to Node #0,0,2\nCurrent State: 55:[5, 26], Operations: ['95-90=5', '37-11=26']\nExploring Operation: 26-5=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 55:[5, 26], Operations: ['95-90=5', '37-11=26']\nExploring Operation: 5+26=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11*5=55, Resulting Numbers: [37, 55]\nGenerated Node #0,0,3: 55:[37, 55] Operation: 11*5=55\nMoving to Node #0,0,3\nCurrent State: 55:[37, 55], Operations: ['95-90=5', '11*5=55']\nExploring Operation: 55-37=18, Resulting Numbers: [18]\n18,55 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 55:[37, 55], Operations: ['95-90=5', '11*5=55']\nExploring Operation: 37+55=92, Resulting Numbers: [92]\n92,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11-5=6, Resulting Numbers: [37, 6]\nGenerated Node #0,0,4: 55:[37, 6] Operation: 11-5=6\nMoving to Node #0,0,4\nCurrent State: 55:[37, 6], Operations: ['95-90=5', '11-5=6']\nExploring Operation: 37+6=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 55:[37, 6], Operations: ['95-90=5', '11-5=6']\nExploring Operation: 37-6=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 37-5=32, Resulting Numbers: [11, 32]\nGenerated Node #0,0,5: 55:[11, 32] Operation: 37-5=32\nMoving to Node #0,0,5\nCurrent State: 55:[11, 32], Operations: ['95-90=5', '37-5=32']\nExploring Operation: 32-11=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 55:[11, 32], Operations: ['95-90=5', '37-5=32']\nExploring Operation: 11+32=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 55:[11, 37, 5], Operations: ['95-90=5']\nExploring Operation: 11+5=16, Resulting Numbers: [37, 16]\nGenerated Node #0,0,6: 55:[37, 16] Operation: 11+5=16\nMoving to Node #0,0,6\nCurrent State: 55:[37, 16], Operations: ['95-90=5', '11+5=16']\nExploring Operation: 37+16=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 55:[37, 16], Operations: ['95-90=5', '11+5=16']\nExploring Operation: 37-16=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0\nCurrent State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 95-37=58, Resulting Numbers: [90, 11, 58]\nGenerated Node #0,1: 55:[90, 11, 58] Operation: 95-37=58\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 90-58=32, Resulting Numbers: [11, 32]\nGenerated Node #0,1,0: 55:[11, 32] Operation: 90-58=32\nMoving to Node #0,1,0\nCurrent State: 55:[11, 32], Operations: ['95-37=58', '90-58=32']\nExploring Operation: 32-11=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 55:[11, 32], Operations: ['95-37=58', '90-58=32']\nExploring Operation: 11+32=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 90-11=79, Resulting Numbers: [58, 79]\nGenerated Node #0,1,1: 55:[58, 79] Operation: 90-11=79\nMoving to Node #0,1,1\nCurrent State: 55:[58, 79], Operations: ['95-37=58', '90-11=79']\nExploring Operation: 79-58=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 58-11=47, Resulting Numbers: [90, 47]\nGenerated Node #0,1,2: 55:[90, 47] Operation: 58-11=47\nMoving to Node #0,1,2\nCurrent State: 55:[90, 47], Operations: ['95-37=58', '58-11=47']\nExploring Operation: 90-47=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 90+11=101, Resulting Numbers: [58, 101]\nGenerated Node #0,1,3: 55:[58, 101] Operation: 90+11=101\nMoving to Node #0,1,3\nCurrent State: 55:[58, 101], Operations: ['95-37=58', '90+11=101']\nExploring Operation: 101-58=43, Resulting Numbers: [43]\n43,55 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 55:[90, 11, 58], Operations: ['95-37=58']\nExploring Operation: 11+58=69, Resulting Numbers: [90, 69]\nGenerated Node #0,1,4: 55:[90, 69] Operation: 11+58=69\nMoving to Node #0,1,4\nCurrent State: 55:[90, 69], Operations: ['95-37=58', '11+58=69']\nExploring Operation: 90-69=21, Resulting Numbers: [21]\n21,55 unequal: No Solution\nMoving to Node #0\nCurrent State: 55:[90, 11, 37, 95], Operations: []\nExploring Operation: 90-37=53, Resulting Numbers: [11, 95, 53]\nGenerated Node #0,2: 55:[11, 95, 53] Operation: 90-37=53\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 95-53=42, Resulting Numbers: [11, 42]\nGenerated Node #0,2,0: 55:[11, 42] Operation: 95-53=42\nMoving to Node #0,2,0\nCurrent State: 55:[11, 42], Operations: ['90-37=53', '95-53=42']\nExploring Operation: 11+42=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 55:[11, 42], Operations: ['90-37=53', '95-53=42']\nExploring Operation: 42-11=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 95-11=84, Resulting Numbers: [53, 84]\nGenerated Node #0,2,1: 55:[53, 84] Operation: 95-11=84\nMoving to Node #0,2,1\nCurrent State: 55:[53, 84], Operations: ['90-37=53', '95-11=84']\nExploring Operation: 84-53=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 11+53=64, Resulting Numbers: [95, 64]\nGenerated Node #0,2,2: 55:[95, 64] Operation: 11+53=64\nMoving to Node #0,2,2\nCurrent State: 55:[95, 64], Operations: ['90-37=53', '11+53=64']\nExploring Operation: 95-64=31, Resulting Numbers: [31]\n31,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 11+95=106, Resulting Numbers: [53, 106]\nGenerated Node #0,2,3: 55:[53, 106] Operation: 11+95=106\nMoving to Node #0,2,3\nCurrent State: 55:[53, 106], Operations: ['90-37=53', '11+95=106']\nExploring Operation: 106-53=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 55:[53, 106], Operations: ['90-37=53', '11+95=106']\nExploring Operation: 106/53=2, Resulting Numbers: [2]\n2,55 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 55:[11, 95, 53], Operations: ['90-37=53']\nExploring Operation: 53-11=42, Resulting Numbers: [95, 42]\nGenerated Node #0,2,4: 55:[95, 42] Operation: 53-11=42\nMoving to Node #0,2,4\nCurrent State: 55:[95, 42], Operations: ['90-37=53', '53-11=42']\nExploring Operation: 95-42=53, Resulting Numbers: [53]\n53,55 unequal: No Solution\n", "role": "assistant" } ]

[ 70, 63, 75, 32 ]

[ "70-63=7", "75+32=107", "107-7=100" ]

[ { "content": "Make 100 with the numbers [70, 63, 75, 32] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 100:[70, 63, 75, 32], Operations: []\nExploring Operation: 75-70=5, Resulting Numbers: [63, 32, 5]\nGenerated Node #0,0: 100:[63, 32, 5] Operation: 75-70=5\nMoving to Node #0,0\nCurrent State: 100:[63, 32, 5], Operations: ['75-70=5']\nExploring Operation: 63+32=95, Resulting Numbers: [5, 95]\nGenerated Node #0,0,0: 100:[5, 95] Operation: 63+32=95\nMoving to Node #0,0,0\nCurrent State: 100:[5, 95], Operations: ['75-70=5', '63+32=95']\nExploring Operation: 5+95=100, Resulting Numbers: [100]\n100,100 equal: Goal Reached\n", "role": "assistant" } ]

[ 5, 5, 33, 33 ]

[ "5+5=10", "33+33=66", "10+66=76" ]

[ { "content": "Make 76 with the numbers [5, 5, 33, 33] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 76:[5, 5, 33, 33], Operations: []\nExploring Operation: 5*5=25, Resulting Numbers: [33, 33, 25]\nGenerated Node #0,0: 76:[33, 33, 25] Operation: 5*5=25\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33+33=66, Resulting Numbers: [25, 66]\nGenerated Node #0,0,0: 76:[25, 66] Operation: 33+33=66\nMoving to Node #0,0,0\nCurrent State: 76:[25, 66], Operations: ['5*5=25', '33+33=66']\nExploring Operation: 25+66=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 76:[25, 66], Operations: ['5*5=25', '33+33=66']\nExploring Operation: 66-25=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33+25=58, Resulting Numbers: [33, 58]\nGenerated Node #0,0,1: 76:[33, 58] Operation: 33+25=58\nMoving to Node #0,0,1\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 33+58=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 58-33=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33+25=58, Resulting Numbers: [33, 58]\nGenerated Node #0,0,2: 76:[33, 58] Operation: 33+25=58\nMoving to Node #0,0,2\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 33+58=91, Resulting Numbers: [91]\n91,76 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 76:[33, 58], Operations: ['5*5=25', '33+25=58']\nExploring Operation: 58-33=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33-25=8, Resulting Numbers: [33, 8]\nGenerated Node #0,0,3: 76:[33, 8] Operation: 33-25=8\nMoving to Node #0,0,3\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33+8=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33-8=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33-25=8, Resulting Numbers: [33, 8]\nGenerated Node #0,0,4: 76:[33, 8] Operation: 33-25=8\nMoving to Node #0,0,4\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33+8=41, Resulting Numbers: [41]\n41,76 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 76:[33, 8], Operations: ['5*5=25', '33-25=8']\nExploring Operation: 33-8=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33/33=1, Resulting Numbers: [25, 1]\nGenerated Node #0,0,5: 76:[25, 1] Operation: 33/33=1\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25+1=26, Resulting Numbers: [26]\n26,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25*1=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25/1=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 76:[25, 1], Operations: ['5*5=25', '33/33=1']\nExploring Operation: 25-1=24, Resulting Numbers: [24]\n24,76 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 76:[33, 33, 25], Operations: ['5*5=25']\nExploring Operation: 33-33=0, Resulting Numbers: [25, 0]\nGenerated Node #0,0,6: 76:[25, 0] Operation: 33-33=0\nMoving to Node #0,0,6\nCurrent State: 76:[25, 0], Operations: ['5*5=25', '33-33=0']\nExploring Operation: 25+0=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 76:[25, 0], Operations: ['5*5=25', '33-33=0']\nExploring Operation: 25-0=25, Resulting Numbers: [25]\n25,76 unequal: No Solution\nMoving to Node #0,0,6\nCurrent State: 76:[25, 0], Operations: ['5*5=25', '33-33=0']\nExploring Operation: 25*0=0, Resulting Numbers: [0]\n0,76 unequal: No Solution\nMoving to Node #0\nCurrent State: 76:[5, 5, 33, 33], Operations: []\nExploring Operation: 5+5=10, Resulting Numbers: [33, 33, 10]\nGenerated Node #0,1: 76:[33, 33, 10] Operation: 5+5=10\nMoving to Node #0,1\nCurrent State: 76:[33, 33, 10], Operations: ['5+5=10']\nExploring Operation: 33+33=66, Resulting Numbers: [10, 66]\nGenerated Node #0,1,0: 76:[10, 66] Operation: 33+33=66\nMoving to Node #0,1,0\nCurrent State: 76:[10, 66], Operations: ['5+5=10', '33+33=66']\nExploring Operation: 10+66=76, Resulting Numbers: [76]\n76,76 equal: Goal Reached\n", "role": "assistant" } ]

[ 34, 19, 42, 7 ]

[ "34+42=76", "76/19=4", "7*4=28" ]

[ { "content": "Make 28 with the numbers [34, 19, 42, 7] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-34=8, Resulting Numbers: [19, 7, 8]\nGenerated Node #0,0: 28:[19, 7, 8] Operation: 42-34=8\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19+8=27, Resulting Numbers: [7, 27]\nGenerated Node #0,0,0: 28:[7, 27] Operation: 19+8=27\nMoving to Node #0,0,0\nCurrent State: 28:[7, 27], Operations: ['42-34=8', '19+8=27']\nExploring Operation: 7+27=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 28:[7, 27], Operations: ['42-34=8', '19+8=27']\nExploring Operation: 27-7=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19+7=26, Resulting Numbers: [8, 26]\nGenerated Node #0,0,1: 28:[8, 26] Operation: 19+7=26\nMoving to Node #0,0,1\nCurrent State: 28:[8, 26], Operations: ['42-34=8', '19+7=26']\nExploring Operation: 26-8=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 28:[8, 26], Operations: ['42-34=8', '19+7=26']\nExploring Operation: 8+26=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19-7=12, Resulting Numbers: [8, 12]\nGenerated Node #0,0,2: 28:[8, 12] Operation: 19-7=12\nMoving to Node #0,0,2\nCurrent State: 28:[8, 12], Operations: ['42-34=8', '19-7=12']\nExploring Operation: 12-8=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 28:[8, 12], Operations: ['42-34=8', '19-7=12']\nExploring Operation: 8+12=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 19-8=11, Resulting Numbers: [7, 11]\nGenerated Node #0,0,3: 28:[7, 11] Operation: 19-8=11\nMoving to Node #0,0,3\nCurrent State: 28:[7, 11], Operations: ['42-34=8', '19-8=11']\nExploring Operation: 11-7=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 28:[7, 11], Operations: ['42-34=8', '19-8=11']\nExploring Operation: 7+11=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 7+8=15, Resulting Numbers: [19, 15]\nGenerated Node #0,0,4: 28:[19, 15] Operation: 7+8=15\nMoving to Node #0,0,4\nCurrent State: 28:[19, 15], Operations: ['42-34=8', '7+8=15']\nExploring Operation: 19-15=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 28:[19, 15], Operations: ['42-34=8', '7+8=15']\nExploring Operation: 19+15=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 28:[19, 7, 8], Operations: ['42-34=8']\nExploring Operation: 8-7=1, Resulting Numbers: [19, 1]\nGenerated Node #0,0,5: 28:[19, 1] Operation: 8-7=1\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19-1=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19*1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19/1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 28:[19, 1], Operations: ['42-34=8', '8-7=1']\nExploring Operation: 19+1=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-19=23, Resulting Numbers: [34, 7, 23]\nGenerated Node #0,1: 28:[34, 7, 23] Operation: 42-19=23\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 34-23=11, Resulting Numbers: [7, 11]\nGenerated Node #0,1,0: 28:[7, 11] Operation: 34-23=11\nMoving to Node #0,1,0\nCurrent State: 28:[7, 11], Operations: ['42-19=23', '34-23=11']\nExploring Operation: 11-7=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 28:[7, 11], Operations: ['42-19=23', '34-23=11']\nExploring Operation: 7+11=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 34-7=27, Resulting Numbers: [23, 27]\nGenerated Node #0,1,1: 28:[23, 27] Operation: 34-7=27\nMoving to Node #0,1,1\nCurrent State: 28:[23, 27], Operations: ['42-19=23', '34-7=27']\nExploring Operation: 27-23=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 28:[23, 27], Operations: ['42-19=23', '34-7=27']\nExploring Operation: 23+27=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 7+23=30, Resulting Numbers: [34, 30]\nGenerated Node #0,1,2: 28:[34, 30] Operation: 7+23=30\nMoving to Node #0,1,2\nCurrent State: 28:[34, 30], Operations: ['42-19=23', '7+23=30']\nExploring Operation: 34-30=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 23-7=16, Resulting Numbers: [34, 16]\nGenerated Node #0,1,3: 28:[34, 16] Operation: 23-7=16\nMoving to Node #0,1,3\nCurrent State: 28:[34, 16], Operations: ['42-19=23', '23-7=16']\nExploring Operation: 34-16=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 28:[34, 16], Operations: ['42-19=23', '23-7=16']\nExploring Operation: 34+16=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 28:[34, 7, 23], Operations: ['42-19=23']\nExploring Operation: 34+7=41, Resulting Numbers: [23, 41]\nGenerated Node #0,1,4: 28:[23, 41] Operation: 34+7=41\nMoving to Node #0,1,4\nCurrent State: 28:[23, 41], Operations: ['42-19=23', '34+7=41']\nExploring Operation: 41-23=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42/7=6, Resulting Numbers: [34, 19, 6]\nGenerated Node #0,2: 28:[34, 19, 6] Operation: 42/7=6\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34-19=15, Resulting Numbers: [6, 15]\nGenerated Node #0,2,0: 28:[6, 15] Operation: 34-19=15\nMoving to Node #0,2,0\nCurrent State: 28:[6, 15], Operations: ['42/7=6', '34-19=15']\nExploring Operation: 15-6=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 28:[6, 15], Operations: ['42/7=6', '34-19=15']\nExploring Operation: 6+15=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34-6=28, Resulting Numbers: [19, 28]\nGenerated Node #0,2,1: 28:[19, 28] Operation: 34-6=28\nMoving to Node #0,2,1\nCurrent State: 28:[19, 28], Operations: ['42/7=6', '34-6=28']\nExploring Operation: 28-19=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 28:[19, 28], Operations: ['42/7=6', '34-6=28']\nExploring Operation: 19+28=47, Resulting Numbers: [47]\n47,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 19-6=13, Resulting Numbers: [34, 13]\nGenerated Node #0,2,2: 28:[34, 13] Operation: 19-6=13\nMoving to Node #0,2,2\nCurrent State: 28:[34, 13], Operations: ['42/7=6', '19-6=13']\nExploring Operation: 34-13=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 28:[34, 13], Operations: ['42/7=6', '19-6=13']\nExploring Operation: 34+13=47, Resulting Numbers: [47]\n47,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 19+6=25, Resulting Numbers: [34, 25]\nGenerated Node #0,2,3: 28:[34, 25] Operation: 19+6=25\nMoving to Node #0,2,3\nCurrent State: 28:[34, 25], Operations: ['42/7=6', '19+6=25']\nExploring Operation: 34-25=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34+6=40, Resulting Numbers: [19, 40]\nGenerated Node #0,2,4: 28:[19, 40] Operation: 34+6=40\nMoving to Node #0,2,4\nCurrent State: 28:[19, 40], Operations: ['42/7=6', '34+6=40']\nExploring Operation: 40-19=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,2\nCurrent State: 28:[34, 19, 6], Operations: ['42/7=6']\nExploring Operation: 34+19=53, Resulting Numbers: [6, 53]\nGenerated Node #0,2,5: 28:[6, 53] Operation: 34+19=53\nMoving to Node #0,2,5\nCurrent State: 28:[6, 53], Operations: ['42/7=6', '34+19=53']\nExploring Operation: 53-6=47, Resulting Numbers: [47]\n47,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 34-19=15, Resulting Numbers: [42, 7, 15]\nGenerated Node #0,3: 28:[42, 7, 15] Operation: 34-19=15\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42-15=27, Resulting Numbers: [7, 27]\nGenerated Node #0,3,0: 28:[7, 27] Operation: 42-15=27\nMoving to Node #0,3,0\nCurrent State: 28:[7, 27], Operations: ['34-19=15', '42-15=27']\nExploring Operation: 7+27=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,3,0\nCurrent State: 28:[7, 27], Operations: ['34-19=15', '42-15=27']\nExploring Operation: 27-7=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42/7=6, Resulting Numbers: [15, 6]\nGenerated Node #0,3,1: 28:[15, 6] Operation: 42/7=6\nMoving to Node #0,3,1\nCurrent State: 28:[15, 6], Operations: ['34-19=15', '42/7=6']\nExploring Operation: 15-6=9, Resulting Numbers: [9]\n9,28 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 28:[15, 6], Operations: ['34-19=15', '42/7=6']\nExploring Operation: 15+6=21, Resulting Numbers: [21]\n21,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42-7=35, Resulting Numbers: [15, 35]\nGenerated Node #0,3,2: 28:[15, 35] Operation: 42-7=35\nMoving to Node #0,3,2\nCurrent State: 28:[15, 35], Operations: ['34-19=15', '42-7=35']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,3,2\nCurrent State: 28:[15, 35], Operations: ['34-19=15', '42-7=35']\nExploring Operation: 15+35=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 15-7=8, Resulting Numbers: [42, 8]\nGenerated Node #0,3,3: 28:[42, 8] Operation: 15-7=8\nMoving to Node #0,3,3\nCurrent State: 28:[42, 8], Operations: ['34-19=15', '15-7=8']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 28:[42, 8], Operations: ['34-19=15', '15-7=8']\nExploring Operation: 42+8=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 7+15=22, Resulting Numbers: [42, 22]\nGenerated Node #0,3,4: 28:[42, 22] Operation: 7+15=22\nMoving to Node #0,3,4\nCurrent State: 28:[42, 22], Operations: ['34-19=15', '7+15=22']\nExploring Operation: 42-22=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,3\nCurrent State: 28:[42, 7, 15], Operations: ['34-19=15']\nExploring Operation: 42+7=49, Resulting Numbers: [15, 49]\nGenerated Node #0,3,5: 28:[15, 49] Operation: 42+7=49\nMoving to Node #0,3,5\nCurrent State: 28:[15, 49], Operations: ['34-19=15', '42+7=49']\nExploring Operation: 49-15=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 42-7=35, Resulting Numbers: [34, 19, 35]\nGenerated Node #0,4: 28:[34, 19, 35] Operation: 42-7=35\nMoving to Node #0,4\nCurrent State: 28:[34, 19, 35], Operations: ['42-7=35']\nExploring Operation: 35-34=1, Resulting Numbers: [19, 1]\nGenerated Node #0,4,0: 28:[19, 1] Operation: 35-34=1\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19-1=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19*1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19/1=19, Resulting Numbers: [19]\n19,28 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 28:[19, 1], Operations: ['42-7=35', '35-34=1']\nExploring Operation: 19+1=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 28:[34, 19, 35], Operations: ['42-7=35']\nExploring Operation: 34-19=15, Resulting Numbers: [35, 15]\nGenerated Node #0,4,1: 28:[35, 15] Operation: 34-19=15\nMoving to Node #0,4,1\nCurrent State: 28:[35, 15], Operations: ['42-7=35', '34-19=15']\nExploring Operation: 35-15=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,4,1\nCurrent State: 28:[35, 15], Operations: ['42-7=35', '34-19=15']\nExploring Operation: 35+15=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,4\nCurrent State: 28:[34, 19, 35], Operations: ['42-7=35']\nExploring Operation: 35-19=16, Resulting Numbers: [34, 16]\nGenerated Node #0,4,2: 28:[34, 16] Operation: 35-19=16\nMoving to Node #0,4,2\nCurrent State: 28:[34, 16], Operations: ['42-7=35', '35-19=16']\nExploring Operation: 34-16=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,4,2\nCurrent State: 28:[34, 16], Operations: ['42-7=35', '35-19=16']\nExploring Operation: 34+16=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 34-7=27, Resulting Numbers: [19, 42, 27]\nGenerated Node #0,5: 28:[19, 42, 27] Operation: 34-7=27\nMoving to Node #0,5\nCurrent State: 28:[19, 42, 27], Operations: ['34-7=27']\nExploring Operation: 42-19=23, Resulting Numbers: [27, 23]\nGenerated Node #0,5,0: 28:[27, 23] Operation: 42-19=23\nMoving to Node #0,5,0\nCurrent State: 28:[27, 23], Operations: ['34-7=27', '42-19=23']\nExploring Operation: 27-23=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,5,0\nCurrent State: 28:[27, 23], Operations: ['34-7=27', '42-19=23']\nExploring Operation: 27+23=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 28:[19, 42, 27], Operations: ['34-7=27']\nExploring Operation: 42-27=15, Resulting Numbers: [19, 15]\nGenerated Node #0,5,1: 28:[19, 15] Operation: 42-27=15\nMoving to Node #0,5,1\nCurrent State: 28:[19, 15], Operations: ['34-7=27', '42-27=15']\nExploring Operation: 19-15=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,5,1\nCurrent State: 28:[19, 15], Operations: ['34-7=27', '42-27=15']\nExploring Operation: 19+15=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,5\nCurrent State: 28:[19, 42, 27], Operations: ['34-7=27']\nExploring Operation: 27-19=8, Resulting Numbers: [42, 8]\nGenerated Node #0,5,2: 28:[42, 8] Operation: 27-19=8\nMoving to Node #0,5,2\nCurrent State: 28:[42, 8], Operations: ['34-7=27', '27-19=8']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,5,2\nCurrent State: 28:[42, 8], Operations: ['34-7=27', '27-19=8']\nExploring Operation: 42+8=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 19+7=26, Resulting Numbers: [34, 42, 26]\nGenerated Node #0,6: 28:[34, 42, 26] Operation: 19+7=26\nMoving to Node #0,6\nCurrent State: 28:[34, 42, 26], Operations: ['19+7=26']\nExploring Operation: 42-34=8, Resulting Numbers: [26, 8]\nGenerated Node #0,6,0: 28:[26, 8] Operation: 42-34=8\nMoving to Node #0,6,0\nCurrent State: 28:[26, 8], Operations: ['19+7=26', '42-34=8']\nExploring Operation: 26-8=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,6,0\nCurrent State: 28:[26, 8], Operations: ['19+7=26', '42-34=8']\nExploring Operation: 26+8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 28:[34, 42, 26], Operations: ['19+7=26']\nExploring Operation: 42-26=16, Resulting Numbers: [34, 16]\nGenerated Node #0,6,1: 28:[34, 16] Operation: 42-26=16\nMoving to Node #0,6,1\nCurrent State: 28:[34, 16], Operations: ['19+7=26', '42-26=16']\nExploring Operation: 34-16=18, Resulting Numbers: [18]\n18,28 unequal: No Solution\nMoving to Node #0,6,1\nCurrent State: 28:[34, 16], Operations: ['19+7=26', '42-26=16']\nExploring Operation: 34+16=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0,6\nCurrent State: 28:[34, 42, 26], Operations: ['19+7=26']\nExploring Operation: 34-26=8, Resulting Numbers: [42, 8]\nGenerated Node #0,6,2: 28:[42, 8] Operation: 34-26=8\nMoving to Node #0,6,2\nCurrent State: 28:[42, 8], Operations: ['19+7=26', '34-26=8']\nExploring Operation: 42-8=34, Resulting Numbers: [34]\n34,28 unequal: No Solution\nMoving to Node #0,6,2\nCurrent State: 28:[42, 8], Operations: ['19+7=26', '34-26=8']\nExploring Operation: 42+8=50, Resulting Numbers: [50]\n50,28 unequal: No Solution\nMoving to Node #0\nCurrent State: 28:[34, 19, 42, 7], Operations: []\nExploring Operation: 19-7=12, Resulting Numbers: [34, 42, 12]\nGenerated Node #0,7: 28:[34, 42, 12] Operation: 19-7=12\nMoving to Node #0,7\nCurrent State: 28:[34, 42, 12], Operations: ['19-7=12']\nExploring Operation: 42-34=8, Resulting Numbers: [12, 8]\nGenerated Node #0,7,0: 28:[12, 8] Operation: 42-34=8\nMoving to Node #0,7,0\nCurrent State: 28:[12, 8], Operations: ['19-7=12', '42-34=8']\nExploring Operation: 12-8=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,7,0\nCurrent State: 28:[12, 8], Operations: ['19-7=12', '42-34=8']\nExploring Operation: 12+8=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 28:[34, 42, 12], Operations: ['19-7=12']\nExploring Operation: 42-12=30, Resulting Numbers: [34, 30]\nGenerated Node #0,7,1: 28:[34, 30] Operation: 42-12=30\nMoving to Node #0,7,1\nCurrent State: 28:[34, 30], Operations: ['19-7=12', '42-12=30']\nExploring Operation: 34-30=4, Resulting Numbers: [4]\n4,28 unequal: No Solution\nMoving to Node #0,7\nCurrent State: 28:[34, 42, 12], Operations: ['19-7=12']\nExploring Operation: 34-12=22, Resulting Numbers: [42, 22]\nGenerated Node #0,7,2: 28:[42, 22] Operation: 34-12=22\nMoving to Node #0,7,2\nCurrent State: 28:[42, 22], Operations: ['19-7=12', '34-12=22']\nExploring Operation: 42-22=20, Resulting Numbers: [20]\n20,28 unequal: No Solution\n", "role": "assistant" } ]

[ 64, 50, 12, 56 ]

[ "64+50=114", "56-12=44", "114-44=70" ]

[ { "content": "Make 70 with the numbers [64, 50, 12, 56] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 70:[64, 50, 12, 56], Operations: []\nExploring Operation: 50+12=62, Resulting Numbers: [64, 56, 62]\nGenerated Node #0,0: 70:[64, 56, 62] Operation: 50+12=62\nMoving to Node #0,0\nCurrent State: 70:[64, 56, 62], Operations: ['50+12=62']\nExploring Operation: 56+62=118, Resulting Numbers: [64, 118]\nGenerated Node #0,0,0: 70:[64, 118] Operation: 56+62=118\nMoving to Node #0,0,0\nCurrent State: 70:[64, 118], Operations: ['50+12=62', '56+62=118']\nExploring Operation: 118-64=54, Resulting Numbers: [54]\n54,70 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 70:[64, 56, 62], Operations: ['50+12=62']\nExploring Operation: 64+56=120, Resulting Numbers: [62, 120]\nGenerated Node #0,0,1: 70:[62, 120] Operation: 64+56=120\nMoving to Node #0,0,1\nCurrent State: 70:[62, 120], Operations: ['50+12=62', '64+56=120']\nExploring Operation: 120-62=58, Resulting Numbers: [58]\n58,70 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 70:[64, 56, 62], Operations: ['50+12=62']\nExploring Operation: 64-56=8, Resulting Numbers: [62, 8]\nGenerated Node #0,0,2: 70:[62, 8] Operation: 64-56=8\nMoving to Node #0,0,2\nCurrent State: 70:[62, 8], Operations: ['50+12=62', '64-56=8']\nExploring Operation: 62+8=70, Resulting Numbers: [70]\n70,70 equal: Goal Reached\n", "role": "assistant" } ]

[ 86, 8, 22, 89 ]

[ "89-86=3", "22*3=66", "66-8=58" ]

[ { "content": "Make 58 with the numbers [86, 8, 22, 89] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 58:[86, 8, 22, 89], Operations: []\nExploring Operation: 86-22=64, Resulting Numbers: [8, 89, 64]\nGenerated Node #0,0: 58:[8, 89, 64] Operation: 86-22=64\nExploring Operation: 89-22=67, Resulting Numbers: [86, 8, 67]\nGenerated Node #0,1: 58:[86, 8, 67] Operation: 89-22=67\nExploring Operation: 89-86=3, Resulting Numbers: [8, 22, 3]\nGenerated Node #0,2: 58:[8, 22, 3] Operation: 89-86=3\nExploring Operation: 86-8=78, Resulting Numbers: [22, 89, 78]\nGenerated Node #0,3: 58:[22, 89, 78] Operation: 86-8=78\nMoving to Node #0,2\nCurrent State: 58:[8, 22, 3], Operations: ['89-86=3']\nExploring Operation: 8*3=24, Resulting Numbers: [22, 24]\nGenerated Node #0,2,0: 58:[22, 24] Operation: 8*3=24\nExploring Operation: 22+3=25, Resulting Numbers: [8, 25]\nGenerated Node #0,2,1: 58:[8, 25] Operation: 22+3=25\nExploring Operation: 8+22=30, Resulting Numbers: [3, 30]\nGenerated Node #0,2,2: 58:[3, 30] Operation: 8+22=30\nExploring Operation: 8-3=5, Resulting Numbers: [22, 5]\nGenerated Node #0,2,3: 58:[22, 5] Operation: 8-3=5\nMoving to Node #0,1\nCurrent State: 58:[86, 8, 67], Operations: ['89-22=67']\nExploring Operation: 86+8=94, Resulting Numbers: [67, 94]\nGenerated Node #0,1,0: 58:[67, 94] Operation: 86+8=94\nExploring Operation: 86-8=78, Resulting Numbers: [67, 78]\nGenerated Node #0,1,1: 58:[67, 78] Operation: 86-8=78\nExploring Operation: 86-67=19, Resulting Numbers: [8, 19]\nGenerated Node #0,1,2: 58:[8, 19] Operation: 86-67=19\nExploring Operation: 67-8=59, Resulting Numbers: [86, 59]\nGenerated Node #0,1,3: 58:[86, 59] Operation: 67-8=59\nMoving to Node #0,0\nCurrent State: 58:[8, 89, 64], Operations: ['86-22=64']\nExploring Operation: 89-8=81, Resulting Numbers: [64, 81]\nGenerated Node #0,0,0: 58:[64, 81] Operation: 89-8=81\nExploring Operation: 64-8=56, Resulting Numbers: [89, 56]\nGenerated Node #0,0,1: 58:[89, 56] Operation: 64-8=56\nExploring Operation: 89-64=25, Resulting Numbers: [8, 25]\nGenerated Node #0,0,2: 58:[8, 25] Operation: 89-64=25\nExploring Operation: 64/8=8, Resulting Numbers: [89, 8]\nGenerated Node #0,0,3: 58:[89, 8] Operation: 64/8=8\nMoving to Node #0,3\nCurrent State: 58:[22, 89, 78], Operations: ['86-8=78']\nExploring Operation: 78-22=56, Resulting Numbers: [89, 56]\nGenerated Node #0,3,0: 58:[89, 56] Operation: 78-22=56\nExploring Operation: 22+89=111, Resulting Numbers: [78, 111]\nGenerated Node #0,3,1: 58:[78, 111] Operation: 22+89=111\nExploring Operation: 89-78=11, Resulting Numbers: [22, 11]\nGenerated Node #0,3,2: 58:[22, 11] Operation: 89-78=11\nExploring Operation: 89-22=67, Resulting Numbers: [78, 67]\nGenerated Node #0,3,3: 58:[78, 67] Operation: 89-22=67\nMoving to Node #0,2,2\nCurrent State: 58:[3, 30], Operations: ['89-86=3', '8+22=30']\nExploring Operation: 30-3=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nExploring Operation: 3+30=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 30/3=10, Resulting Numbers: [10]\n10,58 unequal: No Solution\nExploring Operation: 3*30=90, Resulting Numbers: [90]\n90,58 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 58:[22, 5], Operations: ['89-86=3', '8-3=5']\nExploring Operation: 22-5=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nExploring Operation: 22*5=110, Resulting Numbers: [110]\n110,58 unequal: No Solution\nExploring Operation: 22+5=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nMoving to Node #0,2,1\nCurrent State: 58:[8, 25], Operations: ['89-86=3', '22+3=25']\nExploring Operation: 25-8=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nExploring Operation: 8*25=200, Resulting Numbers: [200]\n200,58 unequal: No Solution\nExploring Operation: 8+25=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 58:[8, 25], Operations: ['86-22=64', '89-64=25']\nExploring Operation: 8+25=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 8*25=200, Resulting Numbers: [200]\n200,58 unequal: No Solution\nExploring Operation: 25-8=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 58:[27], Operations: ['89-86=3', '8+22=30', '30-3=27']\nMoving to Node #0,2,3,0\nCurrent State: 58:[27], Operations: ['89-86=3', '8-3=5', '22+5=27']\nMoving to Node #0,2,2,0\nCurrent State: 58:[33], Operations: ['89-86=3', '8+22=30', '3+30=33']\nMoving to Node #0,2,1,0\nCurrent State: 58:[33], Operations: ['89-86=3', '22+3=25', '8+25=33']\nMoving to Node #0,0,2,0\nCurrent State: 58:[33], Operations: ['86-22=64', '89-64=25', '8+25=33']\nMoving to Node #0,2,2,0\nCurrent State: 58:[10], Operations: ['89-86=3', '8+22=30', '30/3=10']\nMoving to Node #0,2,0\nCurrent State: 58:[22, 24], Operations: ['89-86=3', '8*3=24']\nExploring Operation: 22+24=46, Resulting Numbers: [46]\n46,58 unequal: No Solution\nExploring Operation: 24-22=2, Resulting Numbers: [2]\n2,58 unequal: No Solution\nExploring Operation: 22*24=528, Resulting Numbers: [528]\n528,58 unequal: No Solution\nMoving to Node #0,0,2,0\nCurrent State: 58:[17], Operations: ['86-22=64', '89-64=25', '25-8=17']\nMoving to Node #0,2,0,0\nCurrent State: 58:[2], Operations: ['89-86=3', '8*3=24', '24-22=2']\nMoving to Node #0,2,1,0\nCurrent State: 58:[17], Operations: ['89-86=3', '22+3=25', '25-8=17']\nMoving to Node #0,2,3,0\nCurrent State: 58:[17], Operations: ['89-86=3', '8-3=5', '22-5=17']\nMoving to Node #0,2,0,0\nCurrent State: 58:[46], Operations: ['89-86=3', '8*3=24', '22+24=46']\nMoving to Node #0,3,2\nCurrent State: 58:[22, 11], Operations: ['86-8=78', '89-78=11']\nExploring Operation: 22-11=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nExploring Operation: 22*11=242, Resulting Numbers: [242]\n242,58 unequal: No Solution\nExploring Operation: 22+11=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 22/11=2, Resulting Numbers: [2]\n2,58 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 58:[8, 19], Operations: ['89-22=67', '86-67=19']\nExploring Operation: 19-8=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nExploring Operation: 8+19=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nExploring Operation: 8*19=152, Resulting Numbers: [152]\n152,58 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 58:[86, 59], Operations: ['89-22=67', '67-8=59']\nExploring Operation: 86-59=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nExploring Operation: 86*59=5074, Resulting Numbers: [5074]\n5074,58 unequal: No Solution\nExploring Operation: 86+59=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 58:[67, 78], Operations: ['89-22=67', '86-8=78']\nExploring Operation: 67+78=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nExploring Operation: 67*78=5226, Resulting Numbers: [5226]\n5226,58 unequal: No Solution\nExploring Operation: 78-67=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nMoving to Node #0,3,2,0\nCurrent State: 58:[2], Operations: ['86-8=78', '89-78=11', '22/11=2']\nMoving to Node #0,1,2,0\nCurrent State: 58:[27], Operations: ['89-22=67', '86-67=19', '8+19=27']\nMoving to Node #0,1,3,0\nCurrent State: 58:[27], Operations: ['89-22=67', '67-8=59', '86-59=27']\nMoving to Node #0,3,2,0\nCurrent State: 58:[33], Operations: ['86-8=78', '89-78=11', '22+11=33']\nMoving to Node #0,3,2,0\nCurrent State: 58:[11], Operations: ['86-8=78', '89-78=11', '22-11=11']\nMoving to Node #0,1,1,0\nCurrent State: 58:[11], Operations: ['89-22=67', '86-8=78', '78-67=11']\nMoving to Node #0,1,2,0\nCurrent State: 58:[11], Operations: ['89-22=67', '86-67=19', '19-8=11']\nMoving to Node #0,0,0\nCurrent State: 58:[64, 81], Operations: ['86-22=64', '89-8=81']\nExploring Operation: 81-64=17, Resulting Numbers: [17]\n17,58 unequal: No Solution\nExploring Operation: 64+81=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nExploring Operation: 64*81=5184, Resulting Numbers: [5184]\n5184,58 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 58:[17], Operations: ['86-22=64', '89-8=81', '81-64=17']\nMoving to Node #0,3,3\nCurrent State: 58:[78, 67], Operations: ['86-8=78', '89-22=67']\nExploring Operation: 78*67=5226, Resulting Numbers: [5226]\n5226,58 unequal: No Solution\nExploring Operation: 78-67=11, Resulting Numbers: [11]\n11,58 unequal: No Solution\nExploring Operation: 78+67=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 58:[90], Operations: ['89-86=3', '8+22=30', '3*30=90']\nMoving to Node #0,0,1\nCurrent State: 58:[89, 56], Operations: ['86-22=64', '64-8=56']\nExploring Operation: 89-56=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 89*56=4984, Resulting Numbers: [4984]\n4984,58 unequal: No Solution\nExploring Operation: 89+56=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 58:[33], Operations: ['86-22=64', '64-8=56', '89-56=33']\nMoving to Node #0,3,3,0\nCurrent State: 58:[11], Operations: ['86-8=78', '89-22=67', '78-67=11']\nMoving to Node #0,3,0\nCurrent State: 58:[89, 56], Operations: ['86-8=78', '78-22=56']\nExploring Operation: 89*56=4984, Resulting Numbers: [4984]\n4984,58 unequal: No Solution\nExploring Operation: 89+56=145, Resulting Numbers: [145]\n145,58 unequal: No Solution\nExploring Operation: 89-56=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 58:[89, 8], Operations: ['86-22=64', '64/8=8']\nExploring Operation: 89*8=712, Resulting Numbers: [712]\n712,58 unequal: No Solution\nExploring Operation: 89-8=81, Resulting Numbers: [81]\n81,58 unequal: No Solution\nExploring Operation: 89+8=97, Resulting Numbers: [97]\n97,58 unequal: No Solution\nMoving to Node #0,3,0,0\nCurrent State: 58:[33], Operations: ['86-8=78', '78-22=56', '89-56=33']\nMoving to Node #0,0,3,0\nCurrent State: 58:[81], Operations: ['86-22=64', '64/8=8', '89-8=81']\nMoving to Node #0,0,3,0\nCurrent State: 58:[97], Operations: ['86-22=64', '64/8=8', '89+8=97']\nMoving to Node #0,1,0\nCurrent State: 58:[67, 94], Operations: ['89-22=67', '86+8=94']\nExploring Operation: 67+94=161, Resulting Numbers: [161]\n161,58 unequal: No Solution\nExploring Operation: 67*94=6298, Resulting Numbers: [6298]\n6298,58 unequal: No Solution\nExploring Operation: 94-67=27, Resulting Numbers: [27]\n27,58 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 58:[27], Operations: ['89-22=67', '86+8=94', '94-67=27']\nMoving to Node #0,2,3,0\nCurrent State: 58:[110], Operations: ['89-86=3', '8-3=5', '22*5=110']\nMoving to Node #0,3,1\nCurrent State: 58:[78, 111], Operations: ['86-8=78', '22+89=111']\nExploring Operation: 111-78=33, Resulting Numbers: [33]\n33,58 unequal: No Solution\nExploring Operation: 78+111=189, Resulting Numbers: [189]\n189,58 unequal: No Solution\nExploring Operation: 78*111=8658, Resulting Numbers: [8658]\n8658,58 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 58:[145], Operations: ['89-22=67', '86-8=78', '67+78=145']\nMoving to Node #0,3,1,0\nCurrent State: 58:[33], Operations: ['86-8=78', '22+89=111', '111-78=33']\nMoving to Node #0,0,1,0\nCurrent State: 58:[145], Operations: ['86-22=64', '64-8=56', '89+56=145']\nMoving to Node #0,3,0,0\nCurrent State: 58:[145], Operations: ['86-8=78', '78-22=56', '89+56=145']\nMoving to Node #0,1,3,0\nCurrent State: 58:[145], Operations: ['89-22=67', '67-8=59', '86+59=145']\nMoving to Node #0,3,3,0\nCurrent State: 58:[145], Operations: ['86-8=78', '89-22=67', '78+67=145']\nMoving to Node #0,0,0,0\nCurrent State: 58:[145], Operations: ['86-22=64', '89-8=81', '64+81=145']\nMoving to Node #0,1,2,0\nCurrent State: 58:[152], Operations: ['89-22=67', '86-67=19', '8*19=152']\nMoving to Node #0,1,0,0\nCurrent State: 58:[161], Operations: ['89-22=67', '86+8=94', '67+94=161']\nMoving to Node #0,3,1,0\nCurrent State: 58:[189], Operations: ['86-8=78', '22+89=111', '78+111=189']\nMoving to Node #0,0,2,0\nCurrent State: 58:[200], Operations: ['86-22=64', '89-64=25', '8*25=200']\nMoving to Node #0,2,1,0\nCurrent State: 58:[200], Operations: ['89-86=3', '22+3=25', '8*25=200']\nMoving to Node #0,3,2,0\nCurrent State: 58:[242], Operations: ['86-8=78', '89-78=11', '22*11=242']\nMoving to Node #0,2,0,0\nCurrent State: 58:[528], Operations: ['89-86=3', '8*3=24', '22*24=528']\nMoving to Node #0,0,3,0\nCurrent State: 58:[712], Operations: ['86-22=64', '64/8=8', '89*8=712']\nMoving to Node #0,3,0,0\nCurrent State: 58:[4984], Operations: ['86-8=78', '78-22=56', '89*56=4984']\nMoving to Node #0,0,1,0\nCurrent State: 58:[4984], Operations: ['86-22=64', '64-8=56', '89*56=4984']\nMoving to Node #0,1,3,0\nCurrent State: 58:[5074], Operations: ['89-22=67', '67-8=59', '86*59=5074']\nMoving to Node #0,0,0,0\nCurrent State: 58:[5184], Operations: ['86-22=64', '89-8=81', '64*81=5184']\nMoving to Node #0,3,3,0\nCurrent State: 58:[5226], Operations: ['86-8=78', '89-22=67', '78*67=5226']\nMoving to Node #0,1,1,0\nCurrent State: 58:[5226], Operations: ['89-22=67', '86-8=78', '67*78=5226']\nMoving to Node #0,1,0,0\nCurrent State: 58:[6298], Operations: ['89-22=67', '86+8=94', '67*94=6298']\nMoving to Node #0,3,1,0\nCurrent State: 58:[8658], Operations: ['86-8=78', '22+89=111', '78*111=8658']\nNo solution found.", "role": "assistant" } ]

[ 10, 67, 32, 53 ]

[ "67-10=57", "32+53=85", "85-57=28" ]

[ { "content": "Make 28 with the numbers [10, 67, 32, 53] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 28:[10, 67, 32, 53], Operations: []\nExploring Operation: 67-32=35, Resulting Numbers: [10, 53, 35]\nGenerated Node #0,0: 28:[10, 53, 35] Operation: 67-32=35\nExploring Operation: 67-53=14, Resulting Numbers: [10, 32, 14]\nGenerated Node #0,1: 28:[10, 32, 14] Operation: 67-53=14\nMoving to Node #0,1\nCurrent State: 28:[10, 32, 14], Operations: ['67-53=14']\nExploring Operation: 32-10=22, Resulting Numbers: [14, 22]\nGenerated Node #0,1,0: 28:[14, 22] Operation: 32-10=22\nExploring Operation: 14-10=4, Resulting Numbers: [32, 4]\nGenerated Node #0,1,1: 28:[32, 4] Operation: 14-10=4\nMoving to Node #0,0\nCurrent State: 28:[10, 53, 35], Operations: ['67-32=35']\nExploring Operation: 53-10=43, Resulting Numbers: [35, 43]\nGenerated Node #0,0,0: 28:[35, 43] Operation: 53-10=43\nExploring Operation: 53-35=18, Resulting Numbers: [10, 18]\nGenerated Node #0,0,1: 28:[10, 18] Operation: 53-35=18\nMoving to Node #0,1,1\nCurrent State: 28:[32, 4], Operations: ['67-53=14', '14-10=4']\nExploring Operation: 32-4=28, Resulting Numbers: [28]\n28,28 equal: Goal Reached\n", "role": "assistant" } ]

[ 45, 78, 40, 12 ]

[ "78-45=33", "40-12=28", "33+28=61" ]

[ { "content": "Make 61 with the numbers [45, 78, 40, 12] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 61:[45, 78, 40, 12], Operations: []\nExploring Operation: 45+12=57, Resulting Numbers: [78, 40, 57]\nGenerated Node #0,0: 61:[78, 40, 57] Operation: 45+12=57\nExploring Operation: 78-12=66, Resulting Numbers: [45, 40, 66]\nGenerated Node #0,1: 61:[45, 40, 66] Operation: 78-12=66\nMoving to Node #0,0\nCurrent State: 61:[78, 40, 57], Operations: ['45+12=57']\nExploring Operation: 40+57=97, Resulting Numbers: [78, 97]\nGenerated Node #0,0,0: 61:[78, 97] Operation: 40+57=97\nExploring Operation: 78-40=38, Resulting Numbers: [57, 38]\nGenerated Node #0,0,1: 61:[57, 38] Operation: 78-40=38\nMoving to Node #0,1\nCurrent State: 61:[45, 40, 66], Operations: ['78-12=66']\nExploring Operation: 66-40=26, Resulting Numbers: [45, 26]\nGenerated Node #0,1,0: 61:[45, 26] Operation: 66-40=26\nExploring Operation: 45+40=85, Resulting Numbers: [66, 85]\nGenerated Node #0,1,1: 61:[66, 85] Operation: 45+40=85\nMoving to Node #0,0,1\nCurrent State: 61:[57, 38], Operations: ['45+12=57', '78-40=38']\nExploring Operation: 57-38=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nExploring Operation: 57+38=95, Resulting Numbers: [95]\n95,61 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 61:[66, 85], Operations: ['78-12=66', '45+40=85']\nExploring Operation: 66+85=151, Resulting Numbers: [151]\n151,61 unequal: No Solution\nExploring Operation: 85-66=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nMoving to Node #0,0,1,0\nCurrent State: 61:[95], Operations: ['45+12=57', '78-40=38', '57+38=95']\nMoving to Node #0,0,1,0\nCurrent State: 61:[19], Operations: ['45+12=57', '78-40=38', '57-38=19']\nMoving to Node #0,1,1,0\nCurrent State: 61:[19], Operations: ['78-12=66', '45+40=85', '85-66=19']\nMoving to Node #0,1,0\nCurrent State: 61:[45, 26], Operations: ['78-12=66', '66-40=26']\nExploring Operation: 45+26=71, Resulting Numbers: [71]\n71,61 unequal: No Solution\nExploring Operation: 45-26=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 61:[71], Operations: ['78-12=66', '66-40=26', '45+26=71']\nMoving to Node #0,1,0,0\nCurrent State: 61:[19], Operations: ['78-12=66', '66-40=26', '45-26=19']\nMoving to Node #0,0,0\nCurrent State: 61:[78, 97], Operations: ['45+12=57', '40+57=97']\nExploring Operation: 78+97=175, Resulting Numbers: [175]\n175,61 unequal: No Solution\nExploring Operation: 97-78=19, Resulting Numbers: [19]\n19,61 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 61:[151], Operations: ['78-12=66', '45+40=85', '66+85=151']\nMoving to Node #0,0,0,0\nCurrent State: 61:[19], Operations: ['45+12=57', '40+57=97', '97-78=19']\nMoving to Node #0,0,0,0\nCurrent State: 61:[175], Operations: ['45+12=57', '40+57=97', '78+97=175']\nNo solution found.", "role": "assistant" } ]

[ 20, 28, 39, 62 ]

[ "20+28=48", "39+62=101", "101-48=53" ]

[ { "content": "Make 53 with the numbers [20, 28, 39, 62] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 53:[20, 28, 39, 62], Operations: []\nExploring Operation: 20+39=59, Resulting Numbers: [28, 62, 59]\nGenerated Node #0,0: 53:[28, 62, 59] Operation: 20+39=59\nExploring Operation: 20+28=48, Resulting Numbers: [39, 62, 48]\nGenerated Node #0,1: 53:[39, 62, 48] Operation: 20+28=48\nMoving to Node #0,1\nCurrent State: 53:[39, 62, 48], Operations: ['20+28=48']\nExploring Operation: 62-39=23, Resulting Numbers: [48, 23]\nGenerated Node #0,1,0: 53:[48, 23] Operation: 62-39=23\nExploring Operation: 39+48=87, Resulting Numbers: [62, 87]\nGenerated Node #0,1,1: 53:[62, 87] Operation: 39+48=87\nMoving to Node #0,0\nCurrent State: 53:[28, 62, 59], Operations: ['20+39=59']\nExploring Operation: 62-28=34, Resulting Numbers: [59, 34]\nGenerated Node #0,0,0: 53:[59, 34] Operation: 62-28=34\nExploring Operation: 59-28=31, Resulting Numbers: [62, 31]\nGenerated Node #0,0,1: 53:[62, 31] Operation: 59-28=31\nMoving to Node #0,0,0\nCurrent State: 53:[59, 34], Operations: ['20+39=59', '62-28=34']\nExploring Operation: 59-34=25, Resulting Numbers: [25]\n25,53 unequal: No Solution\nExploring Operation: 59+34=93, Resulting Numbers: [93]\n93,53 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 53:[62, 31], Operations: ['20+39=59', '59-28=31']\nExploring Operation: 62-31=31, Resulting Numbers: [31]\n31,53 unequal: No Solution\nExploring Operation: 62+31=93, Resulting Numbers: [93]\n93,53 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 53:[48, 23], Operations: ['20+28=48', '62-39=23']\nExploring Operation: 48+23=71, Resulting Numbers: [71]\n71,53 unequal: No Solution\nExploring Operation: 48-23=25, Resulting Numbers: [25]\n25,53 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 53:[62, 87], Operations: ['20+28=48', '39+48=87']\nExploring Operation: 62+87=149, Resulting Numbers: [149]\n149,53 unequal: No Solution\nExploring Operation: 87-62=25, Resulting Numbers: [25]\n25,53 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 53:[71], Operations: ['20+28=48', '62-39=23', '48+23=71']\nMoving to Node #0,0,1,0\nCurrent State: 53:[31], Operations: ['20+39=59', '59-28=31', '62-31=31']\nMoving to Node #0,0,0,0\nCurrent State: 53:[25], Operations: ['20+39=59', '62-28=34', '59-34=25']\nMoving to Node #0,1,0,0\nCurrent State: 53:[25], Operations: ['20+28=48', '62-39=23', '48-23=25']\nMoving to Node #0,1,1,0\nCurrent State: 53:[25], Operations: ['20+28=48', '39+48=87', '87-62=25']\nMoving to Node #0,0,0,0\nCurrent State: 53:[93], Operations: ['20+39=59', '62-28=34', '59+34=93']\nMoving to Node #0,0,1,0\nCurrent State: 53:[93], Operations: ['20+39=59', '59-28=31', '62+31=93']\nMoving to Node #0,1,1,0\nCurrent State: 53:[149], Operations: ['20+28=48', '39+48=87', '62+87=149']\nNo solution found.", "role": "assistant" } ]

[ 21, 15, 78, 2 ]

[ "21+78=99", "15*2=30", "99-30=69" ]

[ { "content": "Make 69 with the numbers [21, 15, 78, 2] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 69:[21, 15, 78, 2], Operations: []\nExploring Operation: 21*2=42, Resulting Numbers: [15, 78, 42]\nGenerated Node #0,0: 69:[15, 78, 42] Operation: 21*2=42\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 15+42=57, Resulting Numbers: [78, 57]\nGenerated Node #0,0,0: 69:[78, 57] Operation: 15+42=57\nMoving to Node #0,0,0\nCurrent State: 69:[78, 57], Operations: ['21*2=42', '15+42=57']\nExploring Operation: 78-57=21, Resulting Numbers: [21]\n21,69 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 69:[78, 57], Operations: ['21*2=42', '15+42=57']\nExploring Operation: 78+57=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 78-15=63, Resulting Numbers: [42, 63]\nGenerated Node #0,0,1: 69:[42, 63] Operation: 78-15=63\nMoving to Node #0,0,1\nCurrent State: 69:[42, 63], Operations: ['21*2=42', '78-15=63']\nExploring Operation: 42+63=105, Resulting Numbers: [105]\n105,69 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 69:[42, 63], Operations: ['21*2=42', '78-15=63']\nExploring Operation: 63-42=21, Resulting Numbers: [21]\n21,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 15+78=93, Resulting Numbers: [42, 93]\nGenerated Node #0,0,2: 69:[42, 93] Operation: 15+78=93\nMoving to Node #0,0,2\nCurrent State: 69:[42, 93], Operations: ['21*2=42', '15+78=93']\nExploring Operation: 93-42=51, Resulting Numbers: [51]\n51,69 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 69:[42, 93], Operations: ['21*2=42', '15+78=93']\nExploring Operation: 42+93=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 42-15=27, Resulting Numbers: [78, 27]\nGenerated Node #0,0,3: 69:[78, 27] Operation: 42-15=27\nMoving to Node #0,0,3\nCurrent State: 69:[78, 27], Operations: ['21*2=42', '42-15=27']\nExploring Operation: 78-27=51, Resulting Numbers: [51]\n51,69 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 69:[78, 27], Operations: ['21*2=42', '42-15=27']\nExploring Operation: 78+27=105, Resulting Numbers: [105]\n105,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 78-42=36, Resulting Numbers: [15, 36]\nGenerated Node #0,0,4: 69:[15, 36] Operation: 78-42=36\nMoving to Node #0,0,4\nCurrent State: 69:[15, 36], Operations: ['21*2=42', '78-42=36']\nExploring Operation: 15+36=51, Resulting Numbers: [51]\n51,69 unequal: No Solution\nMoving to Node #0,0,4\nCurrent State: 69:[15, 36], Operations: ['21*2=42', '78-42=36']\nExploring Operation: 36-15=21, Resulting Numbers: [21]\n21,69 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 69:[15, 78, 42], Operations: ['21*2=42']\nExploring Operation: 78+42=120, Resulting Numbers: [15, 120]\nGenerated Node #0,0,5: 69:[15, 120] Operation: 78+42=120\nMoving to Node #0,0,5\nCurrent State: 69:[15, 120], Operations: ['21*2=42', '78+42=120']\nExploring Operation: 120-15=105, Resulting Numbers: [105]\n105,69 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 69:[15, 120], Operations: ['21*2=42', '78+42=120']\nExploring Operation: 120/15=8, Resulting Numbers: [8]\n8,69 unequal: No Solution\nMoving to Node #0,0,5\nCurrent State: 69:[15, 120], Operations: ['21*2=42', '78+42=120']\nExploring Operation: 15+120=135, Resulting Numbers: [135]\n135,69 unequal: No Solution\nMoving to Node #0\nCurrent State: 69:[21, 15, 78, 2], Operations: []\nExploring Operation: 15*2=30, Resulting Numbers: [21, 78, 30]\nGenerated Node #0,1: 69:[21, 78, 30] Operation: 15*2=30\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['15*2=30']\nExploring Operation: 21+30=51, Resulting Numbers: [78, 51]\nGenerated Node #0,1,0: 69:[78, 51] Operation: 21+30=51\nMoving to Node #0,1,0\nCurrent State: 69:[78, 51], Operations: ['15*2=30', '21+30=51']\nExploring Operation: 78-51=27, Resulting Numbers: [27]\n27,69 unequal: No Solution\nMoving to Node #0,1,0\nCurrent State: 69:[78, 51], Operations: ['15*2=30', '21+30=51']\nExploring Operation: 78+51=129, Resulting Numbers: [129]\n129,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['15*2=30']\nExploring Operation: 78-21=57, Resulting Numbers: [30, 57]\nGenerated Node #0,1,1: 69:[30, 57] Operation: 78-21=57\nMoving to Node #0,1,1\nCurrent State: 69:[30, 57], Operations: ['15*2=30', '78-21=57']\nExploring Operation: 30+57=87, Resulting Numbers: [87]\n87,69 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 69:[30, 57], Operations: ['15*2=30', '78-21=57']\nExploring Operation: 57-30=27, Resulting Numbers: [27]\n27,69 unequal: No Solution\nMoving to Node #0,1\nCurrent State: 69:[21, 78, 30], Operations: ['15*2=30']\nExploring Operation: 21+78=99, Resulting Numbers: [30, 99]\nGenerated Node #0,1,2: 69:[30, 99] Operation: 21+78=99\nMoving to Node #0,1,2\nCurrent State: 69:[30, 99], Operations: ['15*2=30', '21+78=99']\nExploring Operation: 99-30=69, Resulting Numbers: [69]\n69,69 equal: Goal Reached\n", "role": "assistant" } ]

[ 53, 77, 95, 5 ]

[ "77-53=24", "95/5=19", "24+19=43" ]

[ { "content": "Make 43 with the numbers [53, 77, 95, 5] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 43:[53, 77, 95, 5], Operations: []\nExploring Operation: 95/5=19, Resulting Numbers: [53, 77, 19]\nGenerated Node #0,0: 43:[53, 77, 19] Operation: 95/5=19\nExploring Operation: 53-5=48, Resulting Numbers: [77, 95, 48]\nGenerated Node #0,1: 43:[77, 95, 48] Operation: 53-5=48\nExploring Operation: 95-53=42, Resulting Numbers: [77, 5, 42]\nGenerated Node #0,2: 43:[77, 5, 42] Operation: 95-53=42\nExploring Operation: 95-77=18, Resulting Numbers: [53, 5, 18]\nGenerated Node #0,3: 43:[53, 5, 18] Operation: 95-77=18\nExploring Operation: 77-5=72, Resulting Numbers: [53, 95, 72]\nGenerated Node #0,4: 43:[53, 95, 72] Operation: 77-5=72\nMoving to Node #0,0\nCurrent State: 43:[53, 77, 19], Operations: ['95/5=19']\nExploring Operation: 53-19=34, Resulting Numbers: [77, 34]\nGenerated Node #0,0,0: 43:[77, 34] Operation: 53-19=34\nExploring Operation: 77+19=96, Resulting Numbers: [53, 96]\nGenerated Node #0,0,1: 43:[53, 96] Operation: 77+19=96\nExploring Operation: 53+19=72, Resulting Numbers: [77, 72]\nGenerated Node #0,0,2: 43:[77, 72] Operation: 53+19=72\nExploring Operation: 77-53=24, Resulting Numbers: [19, 24]\nGenerated Node #0,0,3: 43:[19, 24] Operation: 77-53=24\nExploring Operation: 77-19=58, Resulting Numbers: [53, 58]\nGenerated Node #0,0,4: 43:[53, 58] Operation: 77-19=58\nMoving to Node #0,3\nCurrent State: 43:[53, 5, 18], Operations: ['95-77=18']\nExploring Operation: 53-18=35, Resulting Numbers: [5, 35]\nGenerated Node #0,3,0: 43:[5, 35] Operation: 53-18=35\nExploring Operation: 5+18=23, Resulting Numbers: [53, 23]\nGenerated Node #0,3,1: 43:[53, 23] Operation: 5+18=23\nExploring Operation: 18-5=13, Resulting Numbers: [53, 13]\nGenerated Node #0,3,2: 43:[53, 13] Operation: 18-5=13\nExploring Operation: 53+5=58, Resulting Numbers: [18, 58]\nGenerated Node #0,3,3: 43:[18, 58] Operation: 53+5=58\nExploring Operation: 53-5=48, Resulting Numbers: [18, 48]\nGenerated Node #0,3,4: 43:[18, 48] Operation: 53-5=48\nMoving to Node #0,2\nCurrent State: 43:[77, 5, 42], Operations: ['95-53=42']\nExploring Operation: 5+42=47, Resulting Numbers: [77, 47]\nGenerated Node #0,2,0: 43:[77, 47] Operation: 5+42=47\nExploring Operation: 77-42=35, Resulting Numbers: [5, 35]\nGenerated Node #0,2,1: 43:[5, 35] Operation: 77-42=35\nExploring Operation: 42-5=37, Resulting Numbers: [77, 37]\nGenerated Node #0,2,2: 43:[77, 37] Operation: 42-5=37\nExploring Operation: 77-5=72, Resulting Numbers: [42, 72]\nGenerated Node #0,2,3: 43:[42, 72] Operation: 77-5=72\nExploring Operation: 77+5=82, Resulting Numbers: [42, 82]\nGenerated Node #0,2,4: 43:[42, 82] Operation: 77+5=82\nMoving to Node #0,1\nCurrent State: 43:[77, 95, 48], Operations: ['53-5=48']\nExploring Operation: 77+48=125, Resulting Numbers: [95, 125]\nGenerated Node #0,1,0: 43:[95, 125] Operation: 77+48=125\nExploring Operation: 77-48=29, Resulting Numbers: [95, 29]\nGenerated Node #0,1,1: 43:[95, 29] Operation: 77-48=29\nExploring Operation: 95-77=18, Resulting Numbers: [48, 18]\nGenerated Node #0,1,2: 43:[48, 18] Operation: 95-77=18\nExploring Operation: 95-48=47, Resulting Numbers: [77, 47]\nGenerated Node #0,1,3: 43:[77, 47] Operation: 95-48=47\nExploring Operation: 77+95=172, Resulting Numbers: [48, 172]\nGenerated Node #0,1,4: 43:[48, 172] Operation: 77+95=172\nMoving to Node #0,4\nCurrent State: 43:[53, 95, 72], Operations: ['77-5=72']\nExploring Operation: 95-72=23, Resulting Numbers: [53, 23]\nGenerated Node #0,4,0: 43:[53, 23] Operation: 95-72=23\nExploring Operation: 53+72=125, Resulting Numbers: [95, 125]\nGenerated Node #0,4,1: 43:[95, 125] Operation: 53+72=125\nExploring Operation: 53+95=148, Resulting Numbers: [72, 148]\nGenerated Node #0,4,2: 43:[72, 148] Operation: 53+95=148\nExploring Operation: 72-53=19, Resulting Numbers: [95, 19]\nGenerated Node #0,4,3: 43:[95, 19] Operation: 72-53=19\nExploring Operation: 95-53=42, Resulting Numbers: [72, 42]\nGenerated Node #0,4,4: 43:[72, 42] Operation: 95-53=42\nMoving to Node #0,0,4\nCurrent State: 43:[53, 58], Operations: ['95/5=19', '77-19=58']\nExploring Operation: 58-53=5, Resulting Numbers: [5]\n5,43 unequal: No Solution\nExploring Operation: 53+58=111, Resulting Numbers: [111]\n111,43 unequal: No Solution\nExploring Operation: 53*58=3074, Resulting Numbers: [3074]\n3074,43 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 43:[53, 23], Operations: ['95-77=18', '5+18=23']\nExploring Operation: 53+23=76, Resulting Numbers: [76]\n76,43 unequal: No Solution\nExploring Operation: 53*23=1219, Resulting Numbers: [1219]\n1219,43 unequal: No Solution\nExploring Operation: 53-23=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,3,4\nCurrent State: 43:[18, 48], Operations: ['95-77=18', '53-5=48']\nExploring Operation: 18+48=66, Resulting Numbers: [66]\n66,43 unequal: No Solution\nExploring Operation: 18*48=864, Resulting Numbers: [864]\n864,43 unequal: No Solution\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 43:[42, 72], Operations: ['95-53=42', '77-5=72']\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 42+72=114, Resulting Numbers: [114]\n114,43 unequal: No Solution\nExploring Operation: 42*72=3024, Resulting Numbers: [3024]\n3024,43 unequal: No Solution\nMoving to Node #0,4,0\nCurrent State: 43:[53, 23], Operations: ['77-5=72', '95-72=23']\nExploring Operation: 53+23=76, Resulting Numbers: [76]\n76,43 unequal: No Solution\nExploring Operation: 53-23=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 53*23=1219, Resulting Numbers: [1219]\n1219,43 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 43:[30], Operations: ['95-77=18', '5+18=23', '53-23=30']\nMoving to Node #0,3,4,0\nCurrent State: 43:[30], Operations: ['95-77=18', '53-5=48', '48-18=30']\nMoving to Node #0,2,3,0\nCurrent State: 43:[30], Operations: ['95-53=42', '77-5=72', '72-42=30']\nMoving to Node #0,4,0,0\nCurrent State: 43:[30], Operations: ['77-5=72', '95-72=23', '53-23=30']\nMoving to Node #0,4,4\nCurrent State: 43:[72, 42], Operations: ['77-5=72', '95-53=42']\nExploring Operation: 72+42=114, Resulting Numbers: [114]\n114,43 unequal: No Solution\nExploring Operation: 72-42=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 72*42=3024, Resulting Numbers: [3024]\n3024,43 unequal: No Solution\nMoving to Node #0,4,4,0\nCurrent State: 43:[30], Operations: ['77-5=72', '95-53=42', '72-42=30']\nMoving to Node #0,1,2\nCurrent State: 43:[48, 18], Operations: ['53-5=48', '95-77=18']\nExploring Operation: 48*18=864, Resulting Numbers: [864]\n864,43 unequal: No Solution\nExploring Operation: 48+18=66, Resulting Numbers: [66]\n66,43 unequal: No Solution\nExploring Operation: 48-18=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 43:[77, 47], Operations: ['95-53=42', '5+42=47']\nExploring Operation: 77+47=124, Resulting Numbers: [124]\n124,43 unequal: No Solution\nExploring Operation: 77-47=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nExploring Operation: 77*47=3619, Resulting Numbers: [3619]\n3619,43 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 43:[77, 47], Operations: ['53-5=48', '95-48=47']\nExploring Operation: 77*47=3619, Resulting Numbers: [3619]\n3619,43 unequal: No Solution\nExploring Operation: 77+47=124, Resulting Numbers: [124]\n124,43 unequal: No Solution\nExploring Operation: 77-47=30, Resulting Numbers: [30]\n30,43 unequal: No Solution\nMoving to Node #0,2,4\nCurrent State: 43:[42, 82], Operations: ['95-53=42', '77+5=82']\nExploring Operation: 42*82=3444, Resulting Numbers: [3444]\n3444,43 unequal: No Solution\nExploring Operation: 42+82=124, Resulting Numbers: [124]\n124,43 unequal: No Solution\nExploring Operation: 82-42=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nMoving to Node #0,2,4,0\nCurrent State: 43:[40], Operations: ['95-53=42', '77+5=82', '82-42=40']\nMoving to Node #0,1,2,0\nCurrent State: 43:[30], Operations: ['53-5=48', '95-77=18', '48-18=30']\nMoving to Node #0,2,0,0\nCurrent State: 43:[30], Operations: ['95-53=42', '5+42=47', '77-47=30']\nMoving to Node #0,1,3,0\nCurrent State: 43:[30], Operations: ['53-5=48', '95-48=47', '77-47=30']\nMoving to Node #0,2,2\nCurrent State: 43:[77, 37], Operations: ['95-53=42', '42-5=37']\nExploring Operation: 77-37=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nExploring Operation: 77*37=2849, Resulting Numbers: [2849]\n2849,43 unequal: No Solution\nExploring Operation: 77+37=114, Resulting Numbers: [114]\n114,43 unequal: No Solution\nMoving to Node #0,2,2,0\nCurrent State: 43:[40], Operations: ['95-53=42', '42-5=37', '77-37=40']\nMoving to Node #0,3,2\nCurrent State: 43:[53, 13], Operations: ['95-77=18', '18-5=13']\nExploring Operation: 53-13=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nExploring Operation: 53+13=66, Resulting Numbers: [66]\n66,43 unequal: No Solution\nExploring Operation: 53*13=689, Resulting Numbers: [689]\n689,43 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 43:[18, 58], Operations: ['95-77=18', '53+5=58']\nExploring Operation: 18+58=76, Resulting Numbers: [76]\n76,43 unequal: No Solution\nExploring Operation: 18*58=1044, Resulting Numbers: [1044]\n1044,43 unequal: No Solution\nExploring Operation: 58-18=40, Resulting Numbers: [40]\n40,43 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 43:[19, 24], Operations: ['95/5=19', '77-53=24']\nExploring Operation: 19+24=43, Resulting Numbers: [43]\n43,43 equal: Goal Reached\n", "role": "assistant" } ]

[ 66, 39, 72, 89 ]

[ "66+39=105", "72+89=161", "161-105=56" ]

[ { "content": "Make 56 with the numbers [66, 39, 72, 89] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 56:[66, 39, 72, 89], Operations: []\nExploring Operation: 89-72=17, Resulting Numbers: [66, 39, 17]\nGenerated Node #0,0: 56:[66, 39, 17] Operation: 89-72=17\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66-39=27, Resulting Numbers: [17, 27]\nGenerated Node #0,0,0: 56:[17, 27] Operation: 66-39=27\nMoving to Node #0,0,0\nCurrent State: 56:[17, 27], Operations: ['89-72=17', '66-39=27']\nExploring Operation: 27-17=10, Resulting Numbers: [10]\n10,56 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 56:[17, 27], Operations: ['89-72=17', '66-39=27']\nExploring Operation: 17+27=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 39+17=56, Resulting Numbers: [66, 56]\nGenerated Node #0,0,1: 56:[66, 56] Operation: 39+17=56\nMoving to Node #0,0,1\nCurrent State: 56:[66, 56], Operations: ['89-72=17', '39+17=56']\nExploring Operation: 66-56=10, Resulting Numbers: [10]\n10,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 39-17=22, Resulting Numbers: [66, 22]\nGenerated Node #0,0,2: 56:[66, 22] Operation: 39-17=22\nMoving to Node #0,0,2\nCurrent State: 56:[66, 22], Operations: ['89-72=17', '39-17=22']\nExploring Operation: 66/22=3, Resulting Numbers: [3]\n3,56 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 56:[66, 22], Operations: ['89-72=17', '39-17=22']\nExploring Operation: 66-22=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,0,2\nCurrent State: 56:[66, 22], Operations: ['89-72=17', '39-17=22']\nExploring Operation: 66+22=88, Resulting Numbers: [88]\n88,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66-17=49, Resulting Numbers: [39, 49]\nGenerated Node #0,0,3: 56:[39, 49] Operation: 66-17=49\nMoving to Node #0,0,3\nCurrent State: 56:[39, 49], Operations: ['89-72=17', '66-17=49']\nExploring Operation: 49-39=10, Resulting Numbers: [10]\n10,56 unequal: No Solution\nMoving to Node #0,0,3\nCurrent State: 56:[39, 49], Operations: ['89-72=17', '66-17=49']\nExploring Operation: 39+49=88, Resulting Numbers: [88]\n88,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66+17=83, Resulting Numbers: [39, 83]\nGenerated Node #0,0,4: 56:[39, 83] Operation: 66+17=83\nMoving to Node #0,0,4\nCurrent State: 56:[39, 83], Operations: ['89-72=17', '66+17=83']\nExploring Operation: 83-39=44, Resulting Numbers: [44]\n44,56 unequal: No Solution\nMoving to Node #0,0\nCurrent State: 56:[66, 39, 17], Operations: ['89-72=17']\nExploring Operation: 66+39=105, Resulting Numbers: [17, 105]\nGenerated Node #0,0,5: 56:[17, 105] Operation: 66+39=105\nMoving to Node #0,0,5\nCurrent State: 56:[17, 105], Operations: ['89-72=17', '66+39=105']\nExploring Operation: 105-17=88, Resulting Numbers: [88]\n88,56 unequal: No Solution\nMoving to Node #0\nCurrent State: 56:[66, 39, 72, 89], Operations: []\nExploring Operation: 89-66=23, Resulting Numbers: [39, 72, 23]\nGenerated Node #0,1: 56:[39, 72, 23] Operation: 89-66=23\nMoving to Node #0,1\nCurrent State: 56:[39, 72, 23], Operations: ['89-66=23']\nExploring Operation: 72-39=33, Resulting Numbers: [23, 33]\nGenerated Node #0,1,0: 56:[23, 33] Operation: 72-39=33\nMoving to Node #0,1,0\nCurrent State: 56:[23, 33], Operations: ['89-66=23', '72-39=33']\nExploring Operation: 23+33=56, Resulting Numbers: [56]\n56,56 equal: Goal Reached\n", "role": "assistant" } ]

[ 97, 99, 24, 87 ]

[ "99-97=2", "24/2=12", "87-12=75" ]

[ { "content": "Make 75 with the numbers [97, 99, 24, 87] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 75:[97, 99, 24, 87], Operations: []\nExploring Operation: 99-24=75, Resulting Numbers: [97, 87, 75]\nGenerated Node #0,0: 75:[97, 87, 75] Operation: 99-24=75\nMoving to Node #0,0\nCurrent State: 75:[97, 87, 75], Operations: ['99-24=75']\nExploring Operation: 97-87=10, Resulting Numbers: [75, 10]\nGenerated Node #0,0,0: 75:[75, 10] Operation: 97-87=10\nMoving to Node #0,0,0\nCurrent State: 75:[75, 10], Operations: ['99-24=75', '97-87=10']\nExploring Operation: 75+10=85, Resulting Numbers: [85]\n85,75 unequal: No Solution\nMoving to Node #0,0,0,0\nCurrent State: 75:[85], Operations: ['99-24=75', '97-87=10', '75+10=85']\nNo solution found.", "role": "assistant" } ]

[ 28, 7, 7, 21 ]

[ "28+21=49", "7/7=1", "49-1=48" ]

[ { "content": "Make 48 with the numbers [28, 7, 7, 21] using standard arithmetic operations.", "role": "user" }, { "content": "Current State: 48:[28, 7, 7, 21], Operations: []\nExploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35]\nGenerated Node #0,0: 48:[7, 21, 35] Operation: 28+7=35\nExploring Operation: 28+7=35, Resulting Numbers: [7, 21, 35]\nGenerated Node #0,1: 48:[7, 21, 35] Operation: 28+7=35\nExploring Operation: 7+7=14, Resulting Numbers: [28, 21, 14]\nGenerated Node #0,2: 48:[28, 21, 14] Operation: 7+7=14\nExploring Operation: 7*7=49, Resulting Numbers: [28, 21, 49]\nGenerated Node #0,3: 48:[28, 21, 49] Operation: 7*7=49\nMoving to Node #0,3\nCurrent State: 48:[28, 21, 49], Operations: ['7*7=49']\nExploring Operation: 28+21=49, Resulting Numbers: [49, 49]\nGenerated Node #0,3,0: 48:[49, 49] Operation: 28+21=49\nExploring Operation: 28-21=7, Resulting Numbers: [49, 7]\nGenerated Node #0,3,1: 48:[49, 7] Operation: 28-21=7\nExploring Operation: 49-21=28, Resulting Numbers: [28, 28]\nGenerated Node #0,3,2: 48:[28, 28] Operation: 49-21=28\nExploring Operation: 21+49=70, Resulting Numbers: [28, 70]\nGenerated Node #0,3,3: 48:[28, 70] Operation: 21+49=70\nMoving to Node #0,1\nCurrent State: 48:[7, 21, 35], Operations: ['28+7=35']\nExploring Operation: 7+21=28, Resulting Numbers: [35, 28]\nGenerated Node #0,1,0: 48:[35, 28] Operation: 7+21=28\nExploring Operation: 35-7=28, Resulting Numbers: [21, 28]\nGenerated Node #0,1,1: 48:[21, 28] Operation: 35-7=28\nExploring Operation: 7+35=42, Resulting Numbers: [21, 42]\nGenerated Node #0,1,2: 48:[21, 42] Operation: 7+35=42\nExploring Operation: 21-7=14, Resulting Numbers: [35, 14]\nGenerated Node #0,1,3: 48:[35, 14] Operation: 21-7=14\nMoving to Node #0,0\nCurrent State: 48:[7, 21, 35], Operations: ['28+7=35']\nExploring Operation: 7+35=42, Resulting Numbers: [21, 42]\nGenerated Node #0,0,0: 48:[21, 42] Operation: 7+35=42\nExploring Operation: 21-7=14, Resulting Numbers: [35, 14]\nGenerated Node #0,0,1: 48:[35, 14] Operation: 21-7=14\nExploring Operation: 7+21=28, Resulting Numbers: [35, 28]\nGenerated Node #0,0,2: 48:[35, 28] Operation: 7+21=28\nExploring Operation: 35-7=28, Resulting Numbers: [21, 28]\nGenerated Node #0,0,3: 48:[21, 28] Operation: 35-7=28\nMoving to Node #0,2\nCurrent State: 48:[28, 21, 14], Operations: ['7+7=14']\nExploring Operation: 28+21=49, Resulting Numbers: [14, 49]\nGenerated Node #0,2,0: 48:[14, 49] Operation: 28+21=49\nExploring Operation: 28-14=14, Resulting Numbers: [21, 14]\nGenerated Node #0,2,1: 48:[21, 14] Operation: 28-14=14\nExploring Operation: 28+14=42, Resulting Numbers: [21, 42]\nGenerated Node #0,2,2: 48:[21, 42] Operation: 28+14=42\nExploring Operation: 21+14=35, Resulting Numbers: [28, 35]\nGenerated Node #0,2,3: 48:[28, 35] Operation: 21+14=35\nMoving to Node #0,3,0\nCurrent State: 48:[49, 49], Operations: ['7*7=49', '28+21=49']\nExploring Operation: 49+49=98, Resulting Numbers: [98]\n98,48 unequal: No Solution\nExploring Operation: 49/49=1, Resulting Numbers: [1]\n1,48 unequal: No Solution\nExploring Operation: 49*49=2401, Resulting Numbers: [2401]\n2401,48 unequal: No Solution\nExploring Operation: 49-49=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0,1,2\nCurrent State: 48:[21, 42], Operations: ['28+7=35', '7+35=42']\nExploring Operation: 42-21=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nExploring Operation: 21+42=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 21*42=882, Resulting Numbers: [882]\n882,48 unequal: No Solution\nExploring Operation: 42/21=2, Resulting Numbers: [2]\n2,48 unequal: No Solution\nMoving to Node #0,2,3\nCurrent State: 48:[28, 35], Operations: ['7+7=14', '21+14=35']\nExploring Operation: 28+35=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 28*35=980, Resulting Numbers: [980]\n980,48 unequal: No Solution\nMoving to Node #0,2,2\nCurrent State: 48:[21, 42], Operations: ['7+7=14', '28+14=42']\nExploring Operation: 42/21=2, Resulting Numbers: [2]\n2,48 unequal: No Solution\nExploring Operation: 21+42=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 42-21=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nExploring Operation: 21*42=882, Resulting Numbers: [882]\n882,48 unequal: No Solution\nMoving to Node #0,1,2,0\nCurrent State: 48:[63], Operations: ['28+7=35', '7+35=42', '21+42=63']\nMoving to Node #0,2,2,0\nCurrent State: 48:[63], Operations: ['7+7=14', '28+14=42', '21+42=63']\nMoving to Node #0,2,3,0\nCurrent State: 48:[63], Operations: ['7+7=14', '21+14=35', '28+35=63']\nMoving to Node #0,1,0\nCurrent State: 48:[35, 28], Operations: ['28+7=35', '7+21=28']\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 35*28=980, Resulting Numbers: [980]\n980,48 unequal: No Solution\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nMoving to Node #0,1,0,0\nCurrent State: 48:[63], Operations: ['28+7=35', '7+21=28', '35+28=63']\nMoving to Node #0,0,2\nCurrent State: 48:[35, 28], Operations: ['28+7=35', '7+21=28']\nExploring Operation: 35*28=980, Resulting Numbers: [980]\n980,48 unequal: No Solution\nExploring Operation: 35+28=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 35-28=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,0,0\nCurrent State: 48:[21, 42], Operations: ['28+7=35', '7+35=42']\nExploring Operation: 21*42=882, Resulting Numbers: [882]\n882,48 unequal: No Solution\nExploring Operation: 42/21=2, Resulting Numbers: [2]\n2,48 unequal: No Solution\nExploring Operation: 21+42=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 42-21=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nMoving to Node #0,2,0\nCurrent State: 48:[14, 49], Operations: ['7+7=14', '28+21=49']\nExploring Operation: 14+49=63, Resulting Numbers: [63]\n63,48 unequal: No Solution\nExploring Operation: 14*49=686, Resulting Numbers: [686]\n686,48 unequal: No Solution\nExploring Operation: 49-14=35, Resulting Numbers: [35]\n35,48 unequal: No Solution\nMoving to Node #0,2,0,0\nCurrent State: 48:[35], Operations: ['7+7=14', '28+21=49', '49-14=35']\nMoving to Node #0,0,2,0\nCurrent State: 48:[63], Operations: ['28+7=35', '7+21=28', '35+28=63']\nMoving to Node #0,0,0,0\nCurrent State: 48:[63], Operations: ['28+7=35', '7+35=42', '21+42=63']\nMoving to Node #0,2,0,0\nCurrent State: 48:[63], Operations: ['7+7=14', '28+21=49', '14+49=63']\nMoving to Node #0,3,2\nCurrent State: 48:[28, 28], Operations: ['7*7=49', '49-21=28']\nExploring Operation: 28+28=56, Resulting Numbers: [56]\n56,48 unequal: No Solution\nExploring Operation: 28/28=1, Resulting Numbers: [1]\n1,48 unequal: No Solution\nExploring Operation: 28*28=784, Resulting Numbers: [784]\n784,48 unequal: No Solution\nExploring Operation: 28-28=0, Resulting Numbers: [0]\n0,48 unequal: No Solution\nMoving to Node #0,3,1\nCurrent State: 48:[49, 7], Operations: ['7*7=49', '28-21=7']\nExploring Operation: 49/7=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 49+7=56, Resulting Numbers: [56]\n56,48 unequal: No Solution\nExploring Operation: 49-7=42, Resulting Numbers: [42]\n42,48 unequal: No Solution\nExploring Operation: 49*7=343, Resulting Numbers: [343]\n343,48 unequal: No Solution\nMoving to Node #0,3,3\nCurrent State: 48:[28, 70], Operations: ['7*7=49', '21+49=70']\nExploring Operation: 70-28=42, Resulting Numbers: [42]\n42,48 unequal: No Solution\nExploring Operation: 28+70=98, Resulting Numbers: [98]\n98,48 unequal: No Solution\nExploring Operation: 28*70=1960, Resulting Numbers: [1960]\n1960,48 unequal: No Solution\nMoving to Node #0,1,1\nCurrent State: 48:[21, 28], Operations: ['28+7=35', '35-7=28']\nExploring Operation: 28-21=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 21*28=588, Resulting Numbers: [588]\n588,48 unequal: No Solution\nExploring Operation: 21+28=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nMoving to Node #0,1,1,0\nCurrent State: 48:[49], Operations: ['28+7=35', '35-7=28', '21+28=49']\nMoving to Node #0,3,1,0\nCurrent State: 48:[42], Operations: ['7*7=49', '28-21=7', '49-7=42']\nMoving to Node #0,3,3,0\nCurrent State: 48:[42], Operations: ['7*7=49', '21+49=70', '70-28=42']\nMoving to Node #0,3,2,0\nCurrent State: 48:[56], Operations: ['7*7=49', '49-21=28', '28+28=56']\nMoving to Node #0,3,1,0\nCurrent State: 48:[56], Operations: ['7*7=49', '28-21=7', '49+7=56']\nMoving to Node #0,0,3\nCurrent State: 48:[21, 28], Operations: ['28+7=35', '35-7=28']\nExploring Operation: 21+28=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nExploring Operation: 21*28=588, Resulting Numbers: [588]\n588,48 unequal: No Solution\nExploring Operation: 28-21=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nMoving to Node #0,0,1\nCurrent State: 48:[35, 14], Operations: ['28+7=35', '21-7=14']\nExploring Operation: 35+14=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nExploring Operation: 35*14=490, Resulting Numbers: [490]\n490,48 unequal: No Solution\nExploring Operation: 35-14=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nMoving to Node #0,1,3\nCurrent State: 48:[35, 14], Operations: ['28+7=35', '21-7=14']\nExploring Operation: 35*14=490, Resulting Numbers: [490]\n490,48 unequal: No Solution\nExploring Operation: 35-14=21, Resulting Numbers: [21]\n21,48 unequal: No Solution\nExploring Operation: 35+14=49, Resulting Numbers: [49]\n49,48 unequal: No Solution\nMoving to Node #0,0,3,0\nCurrent State: 48:[49], Operations: ['28+7=35', '35-7=28', '21+28=49']\nMoving to Node #0,0,1,0\nCurrent State: 48:[49], Operations: ['28+7=35', '21-7=14', '35+14=49']\nMoving to Node #0,1,3,0\nCurrent State: 48:[49], Operations: ['28+7=35', '21-7=14', '35+14=49']\nMoving to Node #0,0,0,0\nCurrent State: 48:[21], Operations: ['28+7=35', '7+35=42', '42-21=21']\nMoving to Node #0,1,2,0\nCurrent State: 48:[21], Operations: ['28+7=35', '7+35=42', '42-21=21']\nMoving to Node #0,1,3,0\nCurrent State: 48:[21], Operations: ['28+7=35', '21-7=14', '35-14=21']\nMoving to Node #0,2,2,0\nCurrent State: 48:[21], Operations: ['7+7=14', '28+14=42', '42-21=21']\nMoving to Node #0,0,1,0\nCurrent State: 48:[21], Operations: ['28+7=35', '21-7=14', '35-14=21']\nMoving to Node #0,2,1\nCurrent State: 48:[21, 14], Operations: ['7+7=14', '28-14=14']\nExploring Operation: 21-14=7, Resulting Numbers: [7]\n7,48 unequal: No Solution\nExploring Operation: 21+14=35, Resulting Numbers: [35]\n35,48 unequal: No Solution\nExploring Operation: 21*14=294, Resulting Numbers: [294]\n294,48 unequal: No Solution\nMoving to Node #0,3,1,0\nCurrent State: 48:[7], Operations: ['7*7=49', '28-21=7', '49/7=7']\nMoving to Node #0,0,2,0\nCurrent State: 48:[7], Operations: ['28+7=35', '7+21=28', '35-28=7']\nMoving to Node #0,2,3,0\nCurrent State: 48:[7], Operations: ['7+7=14', '21+14=35', '35-28=7']\nMoving to Node #0,2,1,0\nCurrent State: 48:[35], Operations: ['7+7=14', '28-14=14', '21+14=35']\nMoving to Node #0,1,0,0\nCurrent State: 48:[7], Operations: ['28+7=35', '7+21=28', '35-28=7']\nMoving to Node #0,2,1,0\nCurrent State: 48:[7], Operations: ['7+7=14', '28-14=14', '21-14=7']\nMoving to Node #0,1,1,0\nCurrent State: 48:[7], Operations: ['28+7=35', '35-7=28', '28-21=7']\nMoving to Node #0,0,3,0\nCurrent State: 48:[7], Operations: ['28+7=35', '35-7=28', '28-21=7']\nMoving to Node #0,0,0,0\nCurrent State: 48:[2], Operations: ['28+7=35', '7+35=42', '42/21=2']\nMoving to Node #0,2,2,0\nCurrent State: 48:[2], Operations: ['7+7=14', '28+14=42', '42/21=2']\nMoving to Node #0,1,2,0\nCurrent State: 48:[2], Operations: ['28+7=35', '7+35=42', '42/21=2']\nMoving to Node #0,3,2,0\nCurrent State: 48:[1], Operations: ['7*7=49', '49-21=28', '28/28=1']\nMoving to Node #0,3,0,0\nCurrent State: 48:[1], Operations: ['7*7=49', '28+21=49', '49/49=1']\nMoving to Node #0,3,0,0\nCurrent State: 48:[0], Operations: ['7*7=49', '28+21=49', '49-49=0']\nMoving to Node #0,3,2,0\nCurrent State: 48:[0], Operations: ['7*7=49', '49-21=28', '28-28=0']\nMoving to Node #0,3,0,0\nCurrent State: 48:[98], Operations: ['7*7=49', '28+21=49', '49+49=98']\nMoving to Node #0,3,3,0\nCurrent State: 48:[98], Operations: ['7*7=49', '21+49=70', '28+70=98']\nMoving to Node #0,2,1,0\nCurrent State: 48:[294], Operations: ['7+7=14', '28-14=14', '21*14=294']\nMoving to Node #0,3,1,0\nCurrent State: 48:[343], Operations: ['7*7=49', '28-21=7', '49*7=343']\nMoving to Node #0,1,3,0\nCurrent State: 48:[490], Operations: ['28+7=35', '21-7=14', '35*14=490']\nMoving to Node #0,0,1,0\nCurrent State: 48:[490], Operations: ['28+7=35', '21-7=14', '35*14=490']\nMoving to Node #0,0,3,0\nCurrent State: 48:[588], Operations: ['28+7=35', '35-7=28', '21*28=588']\nMoving to Node #0,1,1,0\nCurrent State: 48:[588], Operations: ['28+7=35', '35-7=28', '21*28=588']\nMoving to Node #0,2,0,0\nCurrent State: 48:[686], Operations: ['7+7=14', '28+21=49', '14*49=686']\nMoving to Node #0,3,2,0\nCurrent State: 48:[784], Operations: ['7*7=49', '49-21=28', '28*28=784']\nMoving to Node #0,0,0,0\nCurrent State: 48:[882], Operations: ['28+7=35', '7+35=42', '21*42=882']\nMoving to Node #0,2,2,0\nCurrent State: 48:[882], Operations: ['7+7=14', '28+14=42', '21*42=882']\nMoving to Node #0,1,2,0\nCurrent State: 48:[882], Operations: ['28+7=35', '7+35=42', '21*42=882']\nMoving to Node #0,1,0,0\nCurrent State: 48:[980], Operations: ['28+7=35', '7+21=28', '35*28=980']\nMoving to Node #0,2,3,0\nCurrent State: 48:[980], Operations: ['7+7=14', '21+14=35', '28*35=980']\nMoving to Node #0,0,2,0\nCurrent State: 48:[980], Operations: ['28+7=35', '7+21=28', '35*28=980']\nMoving to Node #0,3,3,0\nCurrent State: 48:[1960], Operations: ['7*7=49', '21+49=70', '28*70=1960']\nMoving to Node #0,3,0,0\nCurrent State: 48:[2401], Operations: ['7*7=49', '28+21=49', '49*49=2401']\nNo solution found.", "role": "assistant" } ]