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package g2401_2500.s2478_number_of_beautiful_partitions;
// #Hard #String #Dynamic_Programming #2023_01_25_Time_44_ms_(90.08%)_Space_55.1_MB_(32.23%)
@SuppressWarnings("java:S135")
public class Solution {
public int beautifulPartitions(String s, int k, int l) {
char[] cs = s.toCharArray();
int n = cs.length;
if (!prime(cs[0]) || prime(cs[n - 1])) {
return 0;
}
int[][] dp = new int[k][n];
for (int i = n - l; 0 <= i; --i) {
dp[0][i] = prime(cs[i]) ? 1 : 0;
}
for (int i = 1; i < k; ++i) {
int sum = 0;
for (int j = n - i * l; 0 <= j; --j) {
int mod = (int) 1e9 + 7;
if (0 == dp[i - 1][j]) {
dp[i - 1][j] = sum;
} else if (0 != j && 0 == dp[i - 1][j - 1]) {
sum = (sum + dp[i - 1][j]) % mod;
}
}
int p = l - 1;
for (int j = 0; j + l * i < n; ++j) {
if (!prime(cs[j])) {
continue;
}
p = Math.max(p, j + l - 1);
while (prime(cs[p])) {
p++;
}
if (0 == dp[i - 1][p]) {
break;
}
dp[i][j] = dp[i - 1][p];
}
}
return dp[k - 1][0];
}
private boolean prime(char c) {
return '2' == c || '3' == c || '5' == c || '7' == c;
}
}
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