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https://github.com/TheAlgorithms/C-Plus-Plus.git
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@@ -4,69 +4,67 @@ using namespace std;
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void Print(int trace[20][20], int m, int n, string a)
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{
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if (m==0 || n==0)
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if (m == 0 || n == 0)
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{
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return;
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}
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if (trace[m][n]==1)
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if (trace[m][n] == 1)
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{
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Print(trace, m-1, n-1, a);
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cout<<a[m-1];
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Print(trace, m - 1, n - 1, a);
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cout << a[m - 1];
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}
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else if(trace[m][n]==2)
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else if (trace[m][n] == 2)
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{
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Print(trace, m-1,n, a);
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Print(trace, m - 1, n, a);
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}
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else if (trace[m][n]==3)
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else if (trace[m][n] == 3)
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{
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Print(trace, m,n-1, a);
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Print(trace, m, n - 1, a);
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}
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}
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int lcs(string a, string b)
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{
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int m = a.length(), n = b.length();
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int res[m+1][n+1];
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int res[m + 1][n + 1];
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int trace[20][20];
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// fills up the arrays with zeros.
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for (int i = 0; i < m+1; i++)
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for (int i = 0; i < m + 1; i++)
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{
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for (int j = 0; j < n+1; j++)
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for (int j = 0; j < n + 1; j++)
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{
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res[i][j] = 0;
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trace[i][j] = 0;
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}
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}
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for (int i = 0; i < m+1; ++i)
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for (int i = 0; i < m + 1; ++i)
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{
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for (int j = 0; j < n+1; ++j)
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for (int j = 0; j < n + 1; ++j)
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{
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if(i==0||j==0)
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if (i == 0 || j == 0)
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{
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res[i][j] = 0;
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trace[i][j]=0;
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trace[i][j] = 0;
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}
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else if(a[i-1]==b[j-1])
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else if (a[i - 1] == b[j - 1])
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{
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res[i][j] = 1 + res[i-1][j-1];
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trace[i][j]=1; // 1 means trace the matrix in upper left diagonal direction.
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res[i][j] = 1 + res[i - 1][j - 1];
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trace[i][j] = 1; // 1 means trace the matrix in upper left diagonal direction.
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}
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else
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{
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if (res[i-1][j]>res[i][j-1])
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if (res[i - 1][j] > res[i][j - 1])
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{
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res[i][j]=res[i-1][j];
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trace[i][j]=2; // 2 means trace the matrix in upwards direction.
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res[i][j] = res[i - 1][j];
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trace[i][j] = 2; // 2 means trace the matrix in upwards direction.
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}
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else
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{
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res[i][j]=res[i][j-1];
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trace[i][j]=3; // means trace the matrix in left direction.
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res[i][j] = res[i][j - 1];
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trace[i][j] = 3; // means trace the matrix in left direction.
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}
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}
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}
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@@ -75,13 +73,10 @@ int lcs(string a, string b)
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return res[m][n];
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}
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int main()
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{
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string a,b;
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cin>>a>>b;
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cout<<lcs(a,b);
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string a, b;
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cin >> a >> b;
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cout << lcs(a, b);
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return 0;
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}
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