67 lines
1.6 KiB
C++
67 lines
1.6 KiB
C++
#include <iostream>
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#include <cstdio>
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#include <algorithm>
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#include <cstring>
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#define N 100000
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using namespace std;
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__int64 f[405][405][2],MIN,sum1,sum2;
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__int64 getsMIN(__int64 x,__int64 y)
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{
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x=(x<0)?-x:x;
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y=(y<0)?-y:y;
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__int64 t=x%y;
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while(t!=0)
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{
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x=y;
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y=t;
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t=x%y;
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}
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return y;
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}
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int main()
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{
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f[0][1][1]=1;f[0][1][2]=1;
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f[1][2][1]=1;f[1][2][2]=2;
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f[1][1][1]=1;f[1][1][2]=2;
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int i,j,P,T,m,k,ans;
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for(i=2;i<=400;i++)
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{
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for(j=i+1,sum1=0,sum2=1;j>1;j--)
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{
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f[i][j][1] = i*f[i-1][j-1][1];
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f[i][j][2] = j*f[i-1][j-1][2];
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MIN=getsMIN(f[i][j][1],f[i][j][2]);
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f[i][j][1] /= MIN;
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f[i][j][2] /= MIN;
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if(sum2%f[i][j][2])
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{
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sum1 = sum1*f[i][j][2]+f[i][j][1]*sum2;
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sum2 *= f[i][j][2];
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}
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else sum1 = sum1 + f[i][j][1]*(sum2/f[i][j][2]);
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MIN=getsMIN(sum1,sum2);
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sum1 /= MIN;
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sum2 /= MIN;
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}
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f[i][1][2] = sum2;
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f[i][1][1] = sum2-sum1;
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MIN=getsMIN(f[i][1][1],f[i][1][2]);
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f[i][1][1] /= MIN;
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f[i][1][2] /= MIN;
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}
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scanf("%d",&P);
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while(P--)
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{
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scanf("%d %d %d",&T,&m,&k);
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if(!f[m][k][1])
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printf("%d 0\n",T);
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else
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{
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if(f[m][k][2]==1)
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printf("%d %I64d\n",T,f[m][k][1]);
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else printf("%d %I64d/%I64d\n",T,f[m][k][1],f[m][k][2]);
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}
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}
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return 0;
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}
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