Given an infinite number of quarters (25 cents), dimes (10 cents), nickels (5 cents), and pennies (1 cent), write code to calculate the number of ways of representing n cents. (The result may be large, so you should return it modulo 1000000007)
Example1:
Input: n = 5
Output: 2
Explanation: There are two ways:
5=5
5=1+1+1+1+1
Example2:
Input: n = 10
Output: 4
Explanation: There are four ways:
10=10
10=5+5
10=5+1+1+1+1+1
10=1+1+1+1+1+1+1+1+1+1
Notes:
You can assume:
- 0 <= n <= 1000000
function waysToChange(n: number): number {
const MOD = 10 ** 9 + 7;
let coins = [1, 5, 10, 25];
let dp = new Array(n + 1).fill(0);
dp[0] = 1;
for (let coin of coins) {
for (let i = coin; i <= n; ++i) {
dp[i] += dp[i - coin];
}
}
return dp.pop() % MOD;
}