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Merge pull request #320 from samyakjain26/patch-1
Create CoinChange.cpp
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// C++ program for coin change problem | ||
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#include <bits/stdc++.h> | ||
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using namespace std; | ||
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int count(int coins[], int n, int sum) | ||
{ | ||
int i, j, x, y; | ||
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// We need sum+1 rows as the table | ||
// is constructed in bottom up | ||
// manner using the base case 0 | ||
// value case (sum = 0) | ||
int table[sum + 1][n]; | ||
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// Fill the entries for 0 | ||
// value case (sum = 0) | ||
for (i = 0; i < n; i++) | ||
table[0][i] = 1; | ||
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// Fill rest of the table entries | ||
// in bottom up manner | ||
for (i = 1; i < sum + 1; i++) { | ||
for (j = 0; j < n; j++) { | ||
// Count of solutions including coins[j] | ||
x = (i - coins[j] >= 0) ? table[i - coins[j]][j] | ||
: 0; | ||
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// Count of solutions excluding coins[j] | ||
y = (j >= 1) ? table[i][j - 1] : 0; | ||
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// total count | ||
table[i][j] = x + y; | ||
} | ||
} | ||
return table[sum][n - 1]; | ||
} | ||
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// Driver Code | ||
int main() | ||
{ | ||
int coins[] = { 1, 2, 3 }; | ||
int n = sizeof(coins) / sizeof(coins[0]); | ||
int sum = 4; | ||
cout << count(coins, n, sum); | ||
return 0; | ||
} |