100 lines
4.2 KiB
C
100 lines
4.2 KiB
C
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/*
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Program: min-packing.c (Report comments/bugs to chikh@yuntech.edu.tw)
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Function: <EFBFBD>Nn<EFBFBD>ӿ}<EFBFBD>j<EFBFBD>]<EFBFBD>˦<EFBFBD><EFBFBD>@<EFBFBD>j<EFBFBD>]<EFBFBD>A<EFBFBD>C<EFBFBD>ӿ}<EFBFBD>j<EFBFBD><EFBFBD><EFBFBD>e<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>O10<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>A<EFBFBD>p<EFBFBD><EFBFBD><EFBFBD>̤֭<EFBFBD><EFBFBD>n<EFBFBD><EFBFBD><EFBFBD>]<EFBFBD>˯ȥi<EFBFBD><EFBFBD><EFBFBD>]<EFBFBD>n<EFBFBD>C
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<EFBFBD>B<EFBFBD>@<EFBFBD>z<EFBFBD><EFBFBD><EFBFBD>G<EFBFBD><EFBFBD><EFBFBD><EFBFBD>n<EFBFBD>M<EFBFBD>w<EFBFBD>i<EFBFBD><EFBFBD><EFBFBD><EFBFBD>Τ覡<EFBFBD>A<EFBFBD>C<EFBFBD>@<EFBFBD>ؤ<EFBFBD><EFBFBD>ΧY<EFBFBD>M<EFBFBD>w<EFBFBD>@<EFBFBD>إ]<EFBFBD>ˤ覡<EFBFBD>C
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<EFBFBD>ҡGn = 4 = 1+3 = 2+2 = 1+1+2 = 1+1+1+1<EFBFBD>A<EFBFBD>N<EFBFBD><EFBFBD><EFBFBD>i<EFBFBD><EFBFBD><EFBFBD>}<EFBFBD>j<EFBFBD>]<EFBFBD>ˬ<EFBFBD>
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a) <EFBFBD><EFBFBD>1<EFBFBD>ơA4<EFBFBD><EFBFBD><EFBFBD>\<EFBFBD><EFBFBD><EFBFBD>@<EFBFBD><EFBFBD>
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b) <EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD>ӡB<EFBFBD><EFBFBD>2<EFBFBD><EFBFBD><EFBFBD>\3<EFBFBD><EFBFBD>
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c) <EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD>\2<EFBFBD>ӡB<EFBFBD><EFBFBD>2<EFBFBD><EFBFBD><EFBFBD>\2<EFBFBD><EFBFBD>
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d) <EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD>ӡB<EFBFBD><EFBFBD>2<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD>ӡB<EFBFBD><EFBFBD>3<EFBFBD><EFBFBD><EFBFBD>\2<EFBFBD><EFBFBD>
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e) <EFBFBD><EFBFBD>1<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD>ӡB<EFBFBD><EFBFBD>2<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD>ӡB<EFBFBD><EFBFBD>3<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD>ӡB<EFBFBD><EFBFBD>4<EFBFBD><EFBFBD><EFBFBD>\1<EFBFBD><EFBFBD>
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<EFBFBD>`<EFBFBD>N<EFBFBD>W<EFBFBD>za)<EFBFBD>Pe)<EFBFBD>ꬰ<EFBFBD><EFBFBD><EFBFBD>q<EFBFBD><EFBFBD><EFBFBD>p<EFBFBD>C
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<EFBFBD>]<EFBFBD>}<EFBFBD>j<EFBFBD>`<EFBFBD>ƩT<EFBFBD>w<EFBFBD>A<EFBFBD>л\<EFBFBD>W<EFBFBD>U<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>]<EFBFBD>˯ȭ<EFBFBD><EFBFBD>n<EFBFBD>ۦP<EFBFBD>A<EFBFBD><EFBFBD><EFBFBD>P<EFBFBD><EFBFBD><EFBFBD>]<EFBFBD>ˤ覡<EFBFBD>y<EFBFBD><EFBFBD><EFBFBD>P<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>צ<EFBFBD><EFBFBD>t<EFBFBD><EFBFBD><EFBFBD>C
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<EFBFBD>Y<EFBFBD><EFBFBD><EFBFBD>p<EFBFBD><EFBFBD><EFBFBD>C<EFBFBD>@<EFBFBD>ؤ<EFBFBD><EFBFBD>ι<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>\<EFBFBD>m<EFBFBD>覡<EFBFBD><EFBFBD><EFBFBD>g<EFBFBD><EFBFBD><EFBFBD>A<EFBFBD>h<EFBFBD>i<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ؤ<EFBFBD><EFBFBD>Υi<EFBFBD>o<EFBFBD>̨βպA<EFBFBD>A<EFBFBD><EFBFBD><EFBFBD>D<EFBFBD>Y<EFBFBD>o<EFBFBD>ѡC
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Notes: 1) <EFBFBD>z<EFBFBD>L<EFBFBD><EFBFBD><EFBFBD>Ƥ<EFBFBD><EFBFBD>ΡA<EFBFBD>t<EFBFBD>ۭqshape<EFBFBD><EFBFBD><EFBFBD>Ƶ<EFBFBD><EFBFBD>c<EFBFBD>H<EFBFBD>ѨM<EFBFBD><EFBFBD><EFBFBD>D<EFBFBD>һ<EFBFBD>
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2) <EFBFBD><EFBFBD><EFBFBD>U<EFBFBD>{<EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>B<EFBFBD>@<EFBFBD>ҥH<EFBFBD>j<EFBFBD>ӼƬ<EFBFBD><EFBFBD>p<EFBFBD>q<EFBFBD><EFBFBD><EFBFBD>ơA<EFBFBD>̫<EFBFBD><EFBFBD>~<EFBFBD><EFBFBD><EFBFBD>⬰<EFBFBD>u<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>e<EFBFBD><EFBFBD>(<EFBFBD><EFBFBD><EFBFBD><EFBFBD>)
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3) <EFBFBD>ĤJ<EFBFBD>u<EFBFBD>ʺA<EFBFBD>W<EFBFBD><EFBFBD><EFBFBD>v(dynamic programming)<EFBFBD>ޥ<EFBFBD><EFBFBD>A<EFBFBD>Hdimension[]<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ثe<EFBFBD>Ҫ<EFBFBD><EFBFBD>̨βպA
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*/
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#include <stdio.h>
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typedef struct { /* <20>ۭqshape<70><65><EFBFBD>Ƶ<EFBFBD><C6B5>c<EFBFBD>A<EFBFBD>y<EFBFBD>z<EFBFBD>N<EFBFBD>Q<EFBFBD>]<5D>˪<EFBFBD><CBAA>X<EFBFBD><58><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD> */
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int n; /* <20>ҧt<D2A7>j<EFBFBD><6A> */
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int base; /* <20>ӧΪ<D3A7><CEAA><EFBFBD><EFBFBD>̤j<CCA4><6A><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
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int faces; /* <20>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD>}<7D>j<EFBFBD>@<40>ɱ<EFBFBD>IJ<EFBFBD><C4B2><EFBFBD><EFBFBD> */
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int circumference; /* <20>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD>̵u<CCB5>g<EFBFBD><67> */
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} shape;
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int indx = 0; /* <20><><EFBFBD>ܰ<EFBFBD><DCB0>|<7C><><EFBFBD>ݤ<EFBFBD><DDA4><EFBFBD><EFBFBD><EFBFBD><EFBFBD>m */
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int element[100] = {0}; /* <20>H<EFBFBD>}<7D>C<EFBFBD><43><EFBFBD>@<40><><EFBFBD>|<7C><><EFBFBD>c */
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/* <20><><EFBFBD>Udimension[i]<5D><><EFBFBD><EFBFBD><EFBFBD>}<7D>j<EFBFBD>Ƭ<EFBFBD>i<EFBFBD><69><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>U<EFBFBD>A<EFBFBD>ثe<D8AB>Ҫ<EFBFBD><D2AA><EFBFBD><EFBFBD>̨βպA(<28>g<EFBFBD><67><EFBFBD>̵u<CCB5><75>) */
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shape dimension[100] = {{0,0,0,0},{1,1,0,4},{2,2,1,6},{3,3,2,8}}; /* <20><><EFBFBD>l<EFBFBD>ƴX<C6B4><58><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̨Τؤo */
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shape bestDimension(int n, shape s) /* <20><>dimension[n]<5D>P<EFBFBD>ǤJ<C7A4><4A>s<EFBFBD>Ϊ<EFBFBD><CEAA>ֱ<EFBFBD><D6B1>A<EFBFBD>^<5E>ǦX<C7A6>᪺֫<D6AB>պA */
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{
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shape result; /* <20>X<EFBFBD>᪺֫<D6AB><E1AABA><EFBFBD>G<EFBFBD>A<EFBFBD>N<EFBFBD>@<40><><EFBFBD><EFBFBD><EFBFBD>Ʀ^<5E>Ǫ<EFBFBD><C7AA><EFBFBD><EFBFBD>e */
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int minBase;
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if (s.n == 0) /* s<>O<EFBFBD>Ū<EFBFBD> */
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result = dimension[n];
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else { /* <20><>dimension[n]<5D>P<EFBFBD>ǤJ<C7A4><4A>s<EFBFBD>ֱ<EFBFBD><D6B1>A<EFBFBD>M<EFBFBD>w<EFBFBD>s<EFBFBD><73><EFBFBD>̨βպA */
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minBase = dimension[n].base <= s.base? dimension[n].base : s.base; /* <20>p<EFBFBD><70><EFBFBD>G<EFBFBD>ӧO<D3A7>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̤p<CCA4>̡A<CCA1>N<EFBFBD>v<EFBFBD>T<EFBFBD><54>IJ<EFBFBD><C4B2><EFBFBD>j<EFBFBD>p<EFBFBD>P<EFBFBD>g<EFBFBD><67><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
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result.n = n+s.n; /* <20>X<EFBFBD>᪺֫<D6AB>s<EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD>t<EFBFBD><74><EFBFBD>}<7D>j<EFBFBD><6A> */
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result.faces = dimension[n].faces+s.faces + minBase; /* <20>@<40>ɱ<EFBFBD>IJ<EFBFBD><C4B2><EFBFBD>ƱN<C6B1>W<EFBFBD>[ */
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result.base = dimension[n].base >= s.base? dimension[n].base : s.base; /* <20>G<EFBFBD>ӧO<D3A7>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>̤j<CCA4>̬<EFBFBD><CCAC>X<EFBFBD>᪺֫<D6AB><E1AABA><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
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result.circumference = dimension[n].circumference + s.circumference - 2*minBase; /* <20><><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD>᪺֫<D6AB>s<EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>g<EFBFBD><67> */
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//if ((dimension[result.n].n == 0) || (dimension[result.n].circumference > result.circumference))
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if ((dimension[result.n].n == 0) || (dimension[result.n].circumference > result.circumference)
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|| (dimension[result.n].circumference == result.circumference && dimension[result.n].base < result.base)) /* <20>Y<EFBFBD>s<EFBFBD>պA<D5BA>u<EFBFBD><75>dimension[]<5D>ҰO<D2B0><4F><EFBFBD><EFBFBD><EFBFBD>e<EFBFBD>A<EFBFBD>h<EFBFBD><68><EFBFBD>s */
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dimension[result.n] = result;
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}
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//printf("<22>j<EFBFBD><6A> = %d; <20><><EFBFBD><EFBFBD> = %d; <20>@<40><><EFBFBD><EFBFBD> = %d; <20>g<EFBFBD><67> = %d\n",result.n, result.base, result.faces, result.circumference);
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return result;
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}
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shape partition(int n, int max, int addend) /* n:<3A>ݤ<EFBFBD><DDA4>Ϊ<EFBFBD><CEAA>ơBmax:<3A>̤j<CCA4><6A><EFBFBD><EFBFBD><EFBFBD>Baddend:<3A>ұĥΪ<C4A5><CEAA><EFBFBD><EFBFBD>Ѥ<EFBFBD><D1A4><EFBFBD> */
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{
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int i;
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shape result = {0,0,0,0}; /* <20>Ū<EFBFBD><C5AA>X<EFBFBD><58><EFBFBD>Ϊ<EFBFBD> */
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static shape bestOne = {0,0,0,1000000}; /* <20>Y<EFBFBD>N<EFBFBD>^<5E>Ǫ<EFBFBD><C7AA>̨βպA<D5BA>A<EFBFBD><41><EFBFBD>w<EFBFBD>]<5D>g<EFBFBD><67><EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD>W<EFBFBD>j<EFBFBD><6A><EFBFBD>ƭȡA<C8A1>H<EFBFBD><48><EFBFBD>N<EFBFBD><4E><EFBFBD>s */
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element[indx++] = addend; /* <20>۷<EFBFBD><DBB7><EFBFBD>push()<29>ʧ@ */
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if (n == 0) { /* <20>wIJ<77><C4B2><EFBFBD>B<EFBFBD>L<EFBFBD>k<EFBFBD>A<EFBFBD><41><EFBFBD>ΡA<CEA1><41><EFBFBD><EFBFBD><EFBFBD>|<7C><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>e<EFBFBD><65><EFBFBD>X */
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for (i = indx-1; i > 0; i--) /* <20>v<EFBFBD>@<40>X<EFBFBD>֩Ҧ<D6A9><D2A6>i<EFBFBD><69><EFBFBD><EFBFBD><EFBFBD>Ωҹ<CEA9><D2B9><EFBFBD><EFBFBD><EFBFBD><EFBFBD>X<EFBFBD><58><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD><EFBFBD>A<EFBFBD><41><EFBFBD>G<EFBFBD><47><EFBFBD><EFBFBD><EFBFBD><EFBFBD>result */
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result = bestDimension(element[i],result);
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//printf("<22>j<EFBFBD><6A> = %d; <20><><EFBFBD><EFBFBD> = %d; <20>@<40><><EFBFBD><EFBFBD> = %d; <20>g<EFBFBD><67> = %d\n",result.n, result.base, result.faces, result.circumference);
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if (bestOne.circumference > result.circumference) bestOne = result;
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}
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else /* n > 0<>A<EFBFBD>N<EFBFBD><4E><EFBFBD>۩|<7C>i<EFBFBD>~<7E><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> */
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for (i = 1; i <= max && i <= n; i++)
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partition(n-i,i,i);
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indx--; /* <20><><EFBFBD>Ppop()<29>ʧ@ */
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return bestOne; /* <20>^<5E>dz̨ΧΪ<CEA7> */
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}
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int main()
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{
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int n, i, numCube;
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shape bestLayout;
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printf("\n*** <20>̤p<CCA4>]<5D>˭<EFBFBD><CBAD>n<EFBFBD><6E><EFBFBD>l<EFBFBD>H<EFBFBD>]<5D>q<EFBFBD>{<7B><> ***\n\n<EFBFBD><EFBFBD><EFBFBD>J<EFBFBD>}<7D>j<EFBFBD><6A> ==> ");
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scanf("%d",&n);
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//printf("\n<>̤֥]<5D>˯ȭ<CBAF><C8AD>n = %d\n",partition(n,n,0).circumference*10*10+2*n*10*10);
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bestLayout = partition(n,n,0);
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printf("\n<EFBFBD>̤֥]<5D>˯ȭ<CBAF><C8AD>n = %d\n",bestLayout.circumference*10*10+2*n*10*10);
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printf("\n<EFBFBD>]<5D>ˤ覡<CBA4><E8A6A1><EFBFBD>\\<EFBFBD><EFBFBD><EFBFBD>Y<EFBFBD>z<EFBFBD>ơG\n");
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for (numCube = n, i = 1; numCube > 0; numCube -= bestLayout.base, i++) {
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bestLayout = dimension[numCube];
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printf("<EFBFBD><EFBFBD>%d<>ơA<C6A1>\\%d<>ӿj\n",i,bestLayout.base); /* <20><><EFBFBD>X<EFBFBD>d<EFBFBD>N<EFBFBD><4E>"<22>\<5C>\<5C>\"<22><><EFBFBD>D<EFBFBD>A<EFBFBD>]<5D><><EFBFBD>h<EFBFBD>[\<5C>H<EFBFBD>קK<D7A7>x<EFBFBD>Z */
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}
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return 0;
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}
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