I'm sorry if this is a silly question. I have written the following piece of code for coin change problem.
#include <iostream>
using namespace std;
int coinChange(int coins[], int n, int amount)
{
int combinations[amount + 1];
combinations[0] = 1;
int start;
for(int i = 0; i < n; i++)
{
start = coins[i];
int coin = coins[i];
for(int j = start; j < amount + 1; j++)
{
if(j >= coin)
{
combinations[j] += combinations[j - coin];
}
}
for(int j = 0; j < amount + 1; j++)
cout << combinations[j] << " ";
cout << endl;
}
return combinations[amount];
}
int main(int argc, char const *argv[])
{
int coins[] = {1, 2, 5};
int n = sizeof(coins)/sizeof(coins[0]);
int amount = 12;
// cout << "Total combinations: ";
cout << coinChange(coins, n, amount) << endl;
return 0;
}
The code works fine and provides me the correct output as shown below.
1 1 1 1 1 1 1 1 1 1 1 1 1
1 1 2 2 3 3 4 4 5 5 6 6 7
1 1 2 2 3 4 5 6 7 8 10 11 13
13
However, If I uncomment the line cout << "Total combinations: ";
just above the function calling in the main
function, the program gives me bizzare outputs.
Total combinations: 1 32768 32768 32768 44137 44137 44137 44137 196418491 196418492 -790461916 -790429149 619621115
1 32768 32769 65536 76906 109673 121043 153810 196539534 196572302 -593922382 -593856847 25698733
1 32768 32769 65536 76906 109674 153811 186579 196605070 196649208 -593812708 -593703036 25885312
25885312
Is executing cout
before function calling causing this random outputs? Or is this a problem for my version of compiler?
What about initialize (to zero?) combinations
?
Something like
int combinations[amount + 1] {};
Otherwise the initial values of combinations[i]
are undefined indeterminate, so are is undefined the final values behavior of the program (correction from Shafik Yaghmour; thanks!)
Do this in your coinChange
function.
int combinations[amount + 1]{};
combinations[0] = 1;
int start;
for(int i = 0; i < n; i++)
{
start = coins[i];
int coin = coins[i];
for(int j = start; j < amount + 1; j++)
{
if(j >= coin)
{
combinations[j] += combinations[j - coin];
}
}
for(int j = 0; j < amount + 1; j++)
cout << combinations[j] << " ";
cout << endl;
}
Now uncomment the line and run. The basic problem is when you create the combinations
array, you have to initialize the elements to 0
. If you don't, they may be all 0
by a lucky coincidence, but you can't guarantee that.
EDIT : Using empty initializer list to initilize array with zeros as max66 suggested.
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