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#include <bits/stdc++.h> using namespace std; // Utility method to check whether a character // is operator or not bool isOperator(char op) { return (op == '+' || op == '*'); } // method prints minimum and maximum value // obtainable from an expression void printMinAndMaxValueOfExp(string exp) { vector<int> num; vector<char> opr; string tmp = ""; // store operator and numbers in different vectors for (int i = 0; i < exp.length(); i++) { Ā  if (isOperator(exp[i])) Ā  { Ā Ā  opr.push_back(exp[i]); Ā Ā  num.push_back(atoi(tmp.c_str())); Ā Ā  tmp = ""; Ā  } Ā  else Ā  { Ā Ā  tmp += exp[i]; Ā  } } // storing last number in vector num.push_back(atoi(tmp.c_str())); int len = num.size(); int minVal[len][len]; int maxVal[len][len]; // initializing minval and maxval 2D array for (int i = 0; i < len; i++) { Ā  for (int j = 0; j < len; j++) Ā  { Ā Ā  minVal[i][j] = INT_MAX; Ā Ā  maxVal[i][j] = 0; Ā Ā  // initializing main diagonal by num values Ā Ā  if (i == j) Ā Ā Ā  minVal[i][j] = maxVal[i][j] = num[i]; Ā  } } // looping similar to matrix chain multiplication // and updating both 2D arrays for (int L = 2; L <= len; L++) { Ā  for (int i = 0; i < len - L + 1; i++) Ā  { Ā Ā  int j = i + L - 1; Ā Ā  for (int k = i; k < j; k++) Ā Ā  { Ā Ā Ā  int minTmp = 0, maxTmp = 0; Ā Ā Ā  // if current operator is '+', updating tmp Ā Ā Ā  // variable by addition Ā Ā Ā  if(opr[k] == '+') Ā Ā Ā  { Ā Ā Ā Ā  minTmp = minVal[i][k] + minVal[k + 1][j]; Ā Ā Ā Ā  maxTmp = maxVal[i][k] + maxVal[k + 1][j]; Ā Ā Ā  } Ā Ā Ā  // if current operator is '*', updating tmp Ā Ā Ā  // variable by multiplication Ā Ā Ā  else if(opr[k] == '*') Ā Ā Ā  { Ā Ā Ā Ā  minTmp = minVal[i][k] * minVal[k + 1][j]; Ā Ā Ā Ā  maxTmp = maxVal[i][k] * maxVal[k + 1][j]; Ā Ā Ā  } Ā Ā Ā  // updating array values by tmp variables Ā Ā Ā  if (minTmp < minVal[i][j]) Ā Ā Ā Ā  minVal[i][j] = minTmp; Ā Ā Ā  if (maxTmp > maxVal[i][j]) Ā Ā Ā Ā  maxVal[i][j] = maxTmp; Ā Ā  } Ā  } } // last element of first row will store the result cout << "Minimum value : " << minVal[0][len - 1] Ā  << ", Maximum value : " << maxVal[0][len - 1]; } // Driver code to test above methods int main() { string expression = "1+2*3+4*5"; printMinAndMaxValueOfExp(expression); return 0; } C++ Minimum Value Expression

#include <bits/stdc++.h> using namespace std; // Utility method to check whether a character // is operator or not bool isOperator(char op) { return (op == '+' || op == '*'); } // method prints minimum and maximum value // obtainable from an expression void printMinAndMaxValueOfExp(string exp) { vector<int> num; vector<char> opr; string tmp = ""; // store operator and numbers in different vectors for (int i = 0; i < exp.length(); i++) { Ā  if (isOperator(exp[i])) Ā  { Ā Ā  opr.push_back(exp[i]); Ā Ā  num.push_back(atoi(tmp.c_str())); Ā Ā  tmp = ""; Ā  } Ā  else Ā  { Ā Ā  tmp += exp[i]; Ā  } } // storing last number in vector num.push_back(atoi(tmp.c_str())); int len = num.size(); int minVal[len][len]; int maxVal[len][len]; // initializing minval and maxval 2D array for (int i = 0; i < len; i++) { Ā  for (int j = 0; j < len; j++) Ā  { Ā Ā  minVal[i][j] = INT_MAX; Ā Ā  maxVal[i][j] = 0; Ā Ā  // initializing main diagonal by num values Ā Ā  if (i == j) Ā Ā Ā  minVal[i][j] = maxVal[i][j] = num[i]; Ā  } } // looping similar to matrix chain multiplication // and updating both 2D arrays for (int L = 2; L <= len; L++) { Ā  for (int i = 0; i < len - L + 1; i++) Ā  { Ā Ā  int j = i + L - 1; Ā Ā  for (int k = i; k < j; k++) Ā Ā  { Ā Ā Ā  int minTmp = 0, maxTmp = 0; Ā Ā Ā  // if current operator is '+', updating tmp Ā Ā Ā  // variable by addition Ā Ā Ā  if(opr[k] == '+') Ā Ā Ā  { Ā Ā Ā Ā  minTmp = minVal[i][k] + minVal[k + 1][j]; Ā Ā Ā Ā  maxTmp = maxVal[i][k] + maxVal[k + 1][j]; Ā Ā Ā  } Ā Ā Ā  // if current operator is '*', updating tmp Ā Ā Ā  // variable by multiplication Ā Ā Ā  else if(opr[k] == '*') Ā Ā Ā  { Ā Ā Ā Ā  minTmp = minVal[i][k] * minVal[k + 1][j]; Ā Ā Ā Ā  maxTmp = maxVal[i][k] * maxVal[k + 1][j]; Ā Ā Ā  } Ā Ā Ā  // updating array values by tmp variables Ā Ā Ā  if (minTmp < minVal[i][j]) Ā Ā Ā Ā  minVal[i][j] = minTmp; Ā Ā Ā  if (maxTmp > maxVal[i][j]) Ā Ā Ā Ā  maxVal[i][j] = maxTmp; Ā Ā  } Ā  } } // last element of first row will store the result cout << "Minimum value : " << minVal[0][len - 1] Ā  << ", Maximum value : " << maxVal[0][len - 1]; } // Driver code to test above methods int main() { string expression = "1+2*3+4*5"; printMinAndMaxValueOfExp(expression); return 0; } C++ Minimum Value Expression

#include<bits/stdc++.h> int max(int a, int b); /* Returns length of LCS for X[0..m-1], Y[0..n-1] */ int lcs( char *X, char *Y, int m, int n ) { if (m == 0 || n == 0) Ā Ā Ā  return 0; if (X[m-1] == Y[n-1]) Ā Ā Ā  return 1 + lcs(X, Y, m-1, n-1); else Ā Ā Ā  return max(lcs(X, Y, m, n-1), lcs(X, Y, m-1, n)); } /* Utility function to get max of 2 integers */ int max(int a, int b) { Ā Ā Ā  return (a > b)? a : b; } /* Driver program to test above function */ int main() { char X[] = "AGGTAB"; char Y[] = "GXTXAYB"; int m = strlen(X); int n = strlen(Y); printf("Length of LCS is %d", lcs( X, Y, m, n ) ); return 0; } C++ Longest Special Subsequences

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