diff --git a/puzzles/SEND-MORE-MONEY.ipynb b/puzzles/SEND-MORE-MONEY.ipynb index 5d59c0c36136e8567f6f92f104c7139eb1c0d19c..a115f8116cd4cbd90c1379f9dc7bb1763e34b91b 100644 --- a/puzzles/SEND-MORE-MONEY.ipynb +++ b/puzzles/SEND-MORE-MONEY.ipynb @@ -318,6 +318,139 @@ "{K,P} <: 1..9 & {I,S,A,O,N} <: 0..9 & (1000*K+100*I+10*S+S) * (1000*K+100*I+10*S+S) = 1000000*P+100000*A+10000*S+1000*S+100*I+10*O+N & card({K, I, S, P, A, O, N}) = 7" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Another Puzzle\n", + "\n", + "```\n", + " ABC\n", + " DEF\n", + " + GHI\n", + " -----\n", + " 123J\n", + " ```\n", + " Each letter is a distinct digit 0-9. What is J?\n", + " \n", + "[A solution is available here.](https://twitter.com/joe_antognini/status/1436044846028902408)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/markdown": [ + "$\\mathit{TRUE}$\n", + "\n", + "**Solution:**\n", + "* $\\mathit{A} = 8$\n", + "* $\\mathit{B} = 7$\n", + "* $\\mathit{C} = 9$\n", + "* $\\mathit{D} = 2$\n", + "* $\\mathit{E} = 5$\n", + "* $\\mathit{F} = 4$\n", + "* $\\mathit{G} = 1$\n", + "* $\\mathit{H} = 0$\n", + "* $\\mathit{I} = 3$\n", + "* $\\mathit{J} = 6$" + ], + "text/plain": [ + "TRUE\n", + "\n", + "Solution:\n", + "\tA = 8\n", + "\tB = 7\n", + "\tC = 9\n", + "\tD = 2\n", + "\tE = 5\n", + "\tF = 4\n", + "\tG = 1\n", + "\tH = 0\n", + "\tI = 3\n", + "\tJ = 6" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{A,B,C,D,E,F,G,H,I,J} <: 0..9 &\n", + "card({A,B,C,D,E,F,G,H,I,J}) = 10 &\n", + " A*100 + B*10 + C +\n", + " D*100 + E*10 + F +\n", + " G*100 + H*10 + I =\n", + " 1230 + J \n", + " & A>D & D>G & B>E & E>H & C>F & F>I // symmetry breaking" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/markdown": [ + "$\\{(5\\mapsto 8\\mapsto 9\\mapsto 4\\mapsto 3\\mapsto 7\\mapsto 2\\mapsto 1\\mapsto 0\\mapsto 6),(5\\mapsto 9\\mapsto 8\\mapsto 4\\mapsto 3\\mapsto 7\\mapsto 2\\mapsto 0\\mapsto 1\\mapsto 6),(7\\mapsto 8\\mapsto 9\\mapsto 3\\mapsto 4\\mapsto 5\\mapsto 1\\mapsto 0\\mapsto 2\\mapsto 6),(7\\mapsto 8\\mapsto 9\\mapsto 4\\mapsto 3\\mapsto 5\\mapsto 0\\mapsto 1\\mapsto 2\\mapsto 6),(7\\mapsto 9\\mapsto 8\\mapsto 4\\mapsto 2\\mapsto 5\\mapsto 0\\mapsto 1\\mapsto 3\\mapsto 6),(8\\mapsto 5\\mapsto 9\\mapsto 2\\mapsto 4\\mapsto 7\\mapsto 1\\mapsto 3\\mapsto 0\\mapsto 6),(8\\mapsto 7\\mapsto 9\\mapsto 2\\mapsto 5\\mapsto 4\\mapsto 1\\mapsto 0\\mapsto 3\\mapsto 6),(8\\mapsto 7\\mapsto 9\\mapsto 3\\mapsto 4\\mapsto 5\\mapsto 0\\mapsto 1\\mapsto 2\\mapsto 6),(8\\mapsto 9\\mapsto 7\\mapsto 2\\mapsto 3\\mapsto 5\\mapsto 1\\mapsto 0\\mapsto 4\\mapsto 6),(8\\mapsto 9\\mapsto 7\\mapsto 3\\mapsto 2\\mapsto 5\\mapsto 0\\mapsto 1\\mapsto 4\\mapsto 6),(9\\mapsto 5\\mapsto 8\\mapsto 2\\mapsto 4\\mapsto 7\\mapsto 0\\mapsto 3\\mapsto 1\\mapsto 6),(9\\mapsto 7\\mapsto 8\\mapsto 2\\mapsto 4\\mapsto 5\\mapsto 0\\mapsto 1\\mapsto 3\\mapsto 6),(9\\mapsto 8\\mapsto 7\\mapsto 2\\mapsto 3\\mapsto 5\\mapsto 0\\mapsto 1\\mapsto 4\\mapsto 6)\\}$" + ], + "text/plain": [ + "{(5↦8↦9↦4↦3↦7↦2↦1↦0↦6),(5↦9↦8↦4↦3↦7↦2↦0↦1↦6),(7↦8↦9↦3↦4↦5↦1↦0↦2↦6),(7↦8↦9↦4↦3↦5↦0↦1↦2↦6),(7↦9↦8↦4↦2↦5↦0↦1↦3↦6),(8↦5↦9↦2↦4↦7↦1↦3↦0↦6),(8↦7↦9↦2↦5↦4↦1↦0↦3↦6),(8↦7↦9↦3↦4↦5↦0↦1↦2↦6),(8↦9↦7↦2↦3↦5↦1↦0↦4↦6),(8↦9↦7↦3↦2↦5↦0↦1↦4↦6),(9↦5↦8↦2↦4↦7↦0↦3↦1↦6),(9↦7↦8↦2↦4↦5↦0↦1↦3↦6),(9↦8↦7↦2↦3↦5↦0↦1↦4↦6)}" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "{A,B,C,D,E,F,G,H,I,J |\n", + "{A,B,C,D,E,F,G,H,I,J} <: 0..9 &\n", + "card({A,B,C,D,E,F,G,H,I,J}) = 10 &\n", + " A*100 + B*10 + C +\n", + " D*100 + E*10 + F +\n", + " G*100 + H*10 + I =\n", + " 1230 + J \n", + " & A>D & D>G & B>E & E>H & C>F & F>I\n", + " }" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/markdown": [ + "$\\{6\\}$" + ], + "text/plain": [ + "{6}" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ran({A,B,C,D,E,F,G,H,I,J |\n", + "{A,B,C,D,E,F,G,H,I,J} <: 0..9 &\n", + "card({A,B,C,D,E,F,G,H,I,J}) = 10 &\n", + " A*100 + B*10 + C +\n", + " D*100 + E*10 + F +\n", + " G*100 + H*10 + I =\n", + " 1230 + J \n", + " & A>D & D>G & B>E & E>H & C>F & F>I\n", + " })" + ] + }, { "cell_type": "code", "execution_count": null,