#include <bits/stdc++.h>
using namespace std;
int mod = 998244353;
int n, q;
int word[50003];
int uniqueDp[50003];
int dp[50003][6][1 << 6];
int last[50003];
int occurences[500003][6];
int calculate(int startIndex)
{
// source:
// https://www.geeksforgeeks.org/count-distinct-subsequences/
uniqueDp[0] = 1;
for (int i = startIndex; i <= n; ++i)
{
for (int j = 0; j < 6; ++j) occurences[i][j] = occurences[i - 1][j];
uniqueDp[i] = (uniqueDp[i - 1] * 2) % mod;
if (occurences[i][word[i]] != -1)
{
uniqueDp[i] = (uniqueDp[i] + mod - uniqueDp[occurences[i][word[i]]]) % mod;
}
occurences[i][word[i]] = i - 1;
}
vector<bool> appeared(7);
for (int i = 1; i <= n; ++i)
{
last[i] = last[i - 1];
if (word[i] == word[i - 1])
continue;
for (int j = 0; j < 6; ++j)
for (int k = 0; k < (1 << 6); ++k)
dp[i][j][k] = 0;
if (!appeared[word[i]]) dp[i][word[i]][0] = 1;
appeared[word[i]] = true;
for (int j = 0; j < (1 << 6); ++j)
{
if (j & (1 << word[i])) continue;
for (int k = 0; k < 6; ++k)
dp[i][word[i]][0] = (dp[i][word[i]][0] + dp[last[i - 1]][k][j]) % mod;
}
for (int j = 0; j < (1 << 6); ++j)
{
for (int k = 0; k < 6; ++k)
{
if (k == word[i]) continue;
dp[i][k][j | (1 << word[i])] = (dp[i][k][j | (1 << word[i])] + dp[last[i - 1]][k][j]) % mod;
}
}
last[i] = i;
}
int sum = 0;
for (int j = 0; j < 6; ++j)
for (int k = 0; k < (1 << 6); ++k)
sum = (sum + dp[last[n]][j][k]) % mod;
return (uniqueDp[n] + mod - sum - 1) % mod;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
cin >> n >> q;
word[0] = -1;
for (int i = 1; i <= n; ++i)
{
char c;
cin >> c;
word[i] = c - 'a';
}
for (int i = 0; i <= n; ++i)
{
for (int j = 0; j < 6; ++j)
occurences[i][j] = -1;
}
cout << calculate(1) << '\n';
for (int i = 0; i < q; ++i)
{
int p;
char z;
cin >> p >> z;
word[p] = z - 'a';
cout << calculate(p) << '\n';
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 | #include <bits/stdc++.h> using namespace std; int mod = 998244353; int n, q; int word[50003]; int uniqueDp[50003]; int dp[50003][6][1 << 6]; int last[50003]; int occurences[500003][6]; int calculate(int startIndex) { // source: // https://www.geeksforgeeks.org/count-distinct-subsequences/ uniqueDp[0] = 1; for (int i = startIndex; i <= n; ++i) { for (int j = 0; j < 6; ++j) occurences[i][j] = occurences[i - 1][j]; uniqueDp[i] = (uniqueDp[i - 1] * 2) % mod; if (occurences[i][word[i]] != -1) { uniqueDp[i] = (uniqueDp[i] + mod - uniqueDp[occurences[i][word[i]]]) % mod; } occurences[i][word[i]] = i - 1; } vector<bool> appeared(7); for (int i = 1; i <= n; ++i) { last[i] = last[i - 1]; if (word[i] == word[i - 1]) continue; for (int j = 0; j < 6; ++j) for (int k = 0; k < (1 << 6); ++k) dp[i][j][k] = 0; if (!appeared[word[i]]) dp[i][word[i]][0] = 1; appeared[word[i]] = true; for (int j = 0; j < (1 << 6); ++j) { if (j & (1 << word[i])) continue; for (int k = 0; k < 6; ++k) dp[i][word[i]][0] = (dp[i][word[i]][0] + dp[last[i - 1]][k][j]) % mod; } for (int j = 0; j < (1 << 6); ++j) { for (int k = 0; k < 6; ++k) { if (k == word[i]) continue; dp[i][k][j | (1 << word[i])] = (dp[i][k][j | (1 << word[i])] + dp[last[i - 1]][k][j]) % mod; } } last[i] = i; } int sum = 0; for (int j = 0; j < 6; ++j) for (int k = 0; k < (1 << 6); ++k) sum = (sum + dp[last[n]][j][k]) % mod; return (uniqueDp[n] + mod - sum - 1) % mod; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); cin >> n >> q; word[0] = -1; for (int i = 1; i <= n; ++i) { char c; cin >> c; word[i] = c - 'a'; } for (int i = 0; i <= n; ++i) { for (int j = 0; j < 6; ++j) occurences[i][j] = -1; } cout << calculate(1) << '\n'; for (int i = 0; i < q; ++i) { int p; char z; cin >> p >> z; word[p] = z - 'a'; cout << calculate(p) << '\n'; } } |
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