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Copy pathdynamticprogram.cpp
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252 lines (210 loc) · 3.21 KB
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#include <stdio.h>
#include <iostream>
#include <string.h>
#define N 100
int dp[N][N];
char b[N][N];
inline int max(int a, int b)
{
return a>b?a:b;
}
inline int min(int a, int b)
{
return a<b?a:b;
}
int shortest_common_string(char * x, char * y, int m, int n)
{
dp[0][0] = 0;
b[0][0] = 0;
for(int i=1;i<=m;i++)
{
dp[i][0] = i;
b[i][0] = 'U';
}
for(int j=1;j<=n;j++)
{
dp[0][j] = j;
b[0][j] = 'L';
}
for(int i=1;i<=m;i++)
{
for(int j=1;j<=n;j++)
{
if(x[i-1] == y[j-1])
{
dp[i][j] = dp[i-1][j-1]+1;
b[i][j] = 'O';
}
else if(dp[i-1][j] <= dp[i][j-1])
{
dp[i][j] = dp[i-1][j] + 1;
b[i][j] = 'U';
}
else
{
dp[i][j] = dp[i][j-1] + 1;
b[i][j] = 'L';
}
}
}
return dp[m][n];
}
void printSCS(char * x, char * y, int m, int n)
{
if(m == 0 && n == 0)
{
return ;
}
if(b[m][n] == 'O')
{
printSCS(x, y, m-1, n-1);
printf("%c", x[m-1]);
}
if(b[m][n] == 'U')
{
printSCS(x, y, m-1, n);
printf("%c", x[m-1]);
}
if(b[m][n] == 'L')
{
printSCS(x, y, m, n-1);
printf("%c", y[n-1]);
}
}
int main()
{
int m = 6;
int n = 6;
char x[N] = "CBADCB";
char y[N] = "BCCCAD";
printf("%s\n", x);
printf("%s\n", y);
int ret = shortest_common_string(x, y, m, n);
printf("---------------\n%d\n", ret);
printSCS(x, y, m, n);
printf("\n");
return 0;
}
/*
#include <stdio.h>
#include <iostream>
#include <string.h>
#define N 100
int dp[N][N];
char b[N][N];
inline int max(int a, int b)
{
return a>b?a:b;
}
inline int min(int a, int b)
{
return a<b?a:b;
}
int shortest_common_string(char * x, char * y, int m, int n)
{
dp[0][0] = 0;
b[0][0] = 0;
for(int i=1;i<=m;i++)
{
dp[i][0] = i;
b[i][0] = 'U';
}
for(int j=1;j<=n;j++)
{
dp[0][j] = j;
b[0][j] = 'L';
}
for(int i=1;i<=m;i++)
{
for(int j=1;j<=n;j++)
{
if(x[i-1] == y[j-1])
{
dp[i][j] = dp[i-1][j-1]+1;
b[i][j] = 'O';
}
else if(dp[i-1][j] <= dp[i][j-1])
{
dp[i][j] = dp[i-1][j] + 1;
b[i][j] = 'U';
}
else
{
dp[i][j] = dp[i][j-1] + 1;
b[i][j] = 'L';
}
}
}
for(int i=0;i<=m;i++)
{
for(int j=0;j<=n;j++)
{
printf("%d\t", dp[i][j]);
}
printf("\n");
}
printf("======================================================\n");
for(int i=0;i<=m;i++)
{
for(int j=0;j<=n;j++)
{
printf("%c\t", b[i][j]);
}
printf("\n");
}
return dp[m][n];
}
void printSCS(char * x, char * y, int m, int n)
{
if(m == 0 && n == 0)
{
return ;
}
if(b[m][n] == 'O')
{
printSCS(x, y, m-1, n-1);
printf(".%d\t%d\t%c\n", m, n, x[m-1]);
}
if(b[m][n] == 'U')
{
printSCS(x, y, m-1, n);
printf("%d\t%d\t%c\n", m, n, x[m-1]);
}
if(b[m][n] == 'L')
{
printSCS(x, y, m, n-1);
printf("%d\t%d\t%c\n", m, n, y[n-1]);
}
}
void printB(int m, int n)
{
for(int i=0;i<=m;i++)
{
for(int j=0;j<=n;j++)
{
printf("%c\t", b[i][j]);
}
printf("\n");
}
}
int main()
{
/*
int m = 7;
int n = 6;
char x[N] = "ABCBDAB";
char y[N] = "BDCABA";
int m = 6;
int n = 6;
char x[N] = "CBADCB";
char y[N] = "BCCCAD";
printf("%s\n", x);
printf("%s\n", y);
int ret = shortest_common_string(x, y, m, n);
printf("---------------\n%d\n", ret);
//printf("---------------\n");
printSCS(x, y, m, n);
printf("\n");
return 0;
}
*/