write a function to compute the fewest number of coins that you need to make up that amount.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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write a function to compute the fewest number of coins that you need to make up that amount.

 

Please find the error in my code and explain it with comments 

#include <iostream>

using namespace std;

 

int countChange(int denoms[], int denomsLength, int amount) {

  // Edge cases

  if( denomsLength < 0)

    return 0;

  

  int i, j, x, y;

 

  // We need n+1 rows as the table 

  // is constructed in bottom up 

  // manner using the base case 0 

  // value case (n = 0) 

  int lookupTable[amount + 1][denomsLength];

 

  // Fill rest of the table entries 

  // in bottom up manner 

  for (i = 1; i < amount + 1; i++) {

    for (j = 0; j < denomsLength; j++) {

      // Count of solutions including denoms[j] 

      x = (i - denoms[j] >= 0) ? lookupTable[i - denoms[j]][j] : 0;

 

      // Count of solutions excluding denoms[j] 

      y = (j >= 1) ? lookupTable[i][j - 1] : 0;

 

      // total count 

      lookupTable[i][j] = y;

    }

  }

  return 0;

}

int main() { 

  int denoms[4] = {25,10,5,1};

  cout << countChange(denoms, 4, 10) << endl;

}

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