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1759. Count Number of Homogenous Substrings

Description

Given a string s, return the number of homogenous substrings of s. Since the answer may be too large, return it modulo 109 + 7.

A string is homogenous if all the characters of the string are the same.

A substring is a contiguous sequence of characters within a string.

 

Example 1:

Input: s = "abbcccaa"
Output: 13
Explanation: The homogenous substrings are listed as below:
"a"   appears 3 times.
"aa"  appears 1 time.
"b"   appears 2 times.
"bb"  appears 1 time.
"c"   appears 3 times.
"cc"  appears 2 times.
"ccc" appears 1 time.
3 + 1 + 2 + 1 + 3 + 2 + 1 = 13.

Example 2:

Input: s = "xy"
Output: 2
Explanation: The homogenous substrings are "x" and "y".

Example 3:

Input: s = "zzzzz"
Output: 15

 

Constraints:

  • 1 <= s.length <= 105
  • s consists of lowercase letters.

Solutions

  • class Solution {
        private static final int MOD = (int) 1e9 + 7;
    
        public int countHomogenous(String s) {
            int n = s.length();
            long ans = 0;
            for (int i = 0, j = 0; i < n; i = j) {
                j = i;
                while (j < n && s.charAt(j) == s.charAt(i)) {
                    ++j;
                }
                int cnt = j - i;
                ans += (long) (1 + cnt) * cnt / 2;
                ans %= MOD;
            }
            return (int) ans;
        }
    }
    
  • class Solution {
    public:
        const int mod = 1e9 + 7;
    
        int countHomogenous(string s) {
            int n = s.size();
            long ans = 0;
            for (int i = 0, j = 0; i < n; i = j) {
                j = i;
                while (j < n && s[j] == s[i]) ++j;
                int cnt = j - i;
                ans += 1ll * (1 + cnt) * cnt / 2;
                ans %= mod;
            }
            return ans;
        }
    };
    
  • class Solution:
        def countHomogenous(self, s: str) -> int:
            mod = 10**9 + 7
            i, n = 0, len(s)
            ans = 0
            while i < n:
                j = i
                while j < n and s[j] == s[i]:
                    j += 1
                cnt = j - i
                ans += (1 + cnt) * cnt // 2
                ans %= mod
                i = j
            return ans
    
    
  • func countHomogenous(s string) (ans int) {
    	n := len(s)
    	const mod int = 1e9 + 7
    	for i, j := 0, 0; i < n; i = j {
    		j = i
    		for j < n && s[j] == s[i] {
    			j++
    		}
    		cnt := j - i
    		ans += (1 + cnt) * cnt / 2
    		ans %= mod
    	}
    	return
    }
    
  • function countHomogenous(s: string): number {
        const mod = 1e9 + 7;
        const n = s.length;
        let ans = 0;
        for (let i = 0, j = 0; j < n; j++) {
            if (s[i] !== s[j]) {
                i = j;
            }
            ans = (ans + j - i + 1) % mod;
        }
        return ans;
    }
    
    
  • public class Solution {
        public int CountHomogenous(string s) {
            long MOD = 1000000007;
            long ans = 0;
            for (int i = 0, j = 0; i < s.Length; i = j) {
                j = i;
                while (j < s.Length && s[j] == s[i]) {
                    ++j;
                }
                int cnt = j - i;
                ans += (long) (1 + cnt) * cnt / 2;
                ans %= MOD;
            }
            return (int) ans;
        }
    }
    
    
  • impl Solution {
        pub fn count_homogenous(s: String) -> i32 {
            const MOD: usize = (1e9 as usize) + 7;
            let s = s.as_bytes();
            let n = s.len();
            let mut ans = 0;
            let mut i = 0;
            for j in 0..n {
                if s[i] != s[j] {
                    i = j;
                }
                ans = (ans + j - i + 1) % MOD;
            }
            ans as i32
        }
    }
    
    

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