#include "bits/stdc++.h"
using namespace std;
const int MOD = 98244353;
const int MAXN = 5e4 + 5;
int fib[MAXN];
int main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
fib[1] = 1;
fib[0] = 0;
for (int i = 2; i <= MAXN; i++) {
fib[i] = (fib[i - 2] + fib[i - 1]) % MOD;
}
int n, q;
cin >> n >> q;
string s;
cin >> s;
int sz = 1;
for (int i = 1; i < s.size(); i++) {
if (s[i] != s[i - 1]) sz++;
}
vector <int> dp(n + 1, 0);
int last_a = -1, last_b = -1;
dp[0] = 1;
for (int i = 1; i <= n; i++) {
if (s[i - 1] == 'a') {
if (last_a == -1) dp[i] = (dp[i - 1] * 2) % MOD;
else {
dp[i] = (2 * dp[i - 1]) % MOD;
dp[i] = ((dp[i] - dp[last_a - 1]) % MOD + MOD) % MOD;
}
last_a = i;
} else {
if (last_b == -1) dp[i] = (dp[i - 1] * 2) % MOD;
else {
dp[i] = (2 * dp[i - 1]) % MOD;
dp[i] = ((dp[i] - dp[last_b - 1]) % MOD + MOD) % MOD;
}
last_b = i;
}
}
cout << ((dp[n] - 1 - (sz == 1 ? 1 : fib[sz + 2])) % MOD + MOD) % MOD << '\n';
while (q--) {
int idx;
char c;
cin >> idx >> c;
idx--;
if (s[idx] != c) {
if (idx == 0) {
if (s[idx + 1] == c) sz--;
else sz++;
} else if (idx == n - 1) {
if (s[idx - 1] == c) sz--;
else sz++;
} else {
if (s[idx - 1] == c && s[idx + 1] == c) sz -= 2;
else if (s[idx] - 1 != c && s[idx + 1] != c) sz += 2;
}
}
s[idx] = c;
int last_a = -1, last_b = -1;
for (int i = 1; i <= n; i++) {
if (s[i - 1] == 'a') {
if (last_a == -1) dp[i] = (dp[i - 1] * 2) % MOD;
else {
dp[i] = (2 * dp[i - 1]) % MOD;
dp[i] = ((dp[i] - dp[last_a - 1]) % MOD + MOD) % MOD;
}
last_a = i;
} else {
if (last_b == -1) dp[i] = (dp[i - 1] * 2) % MOD;
else {
dp[i] = (2 * dp[i - 1]) % MOD;
dp[i] = ((dp[i] - dp[last_b - 1]) % MOD + MOD) % MOD;
}
last_b = i;
}
}
cout << ((dp[n] - 1 - (sz == 1 ? 1 : fib[sz + 2])) % MOD + MOD) % MOD << '\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 | #include "bits/stdc++.h" using namespace std; const int MOD = 98244353; const int MAXN = 5e4 + 5; int fib[MAXN]; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); fib[1] = 1; fib[0] = 0; for (int i = 2; i <= MAXN; i++) { fib[i] = (fib[i - 2] + fib[i - 1]) % MOD; } int n, q; cin >> n >> q; string s; cin >> s; int sz = 1; for (int i = 1; i < s.size(); i++) { if (s[i] != s[i - 1]) sz++; } vector <int> dp(n + 1, 0); int last_a = -1, last_b = -1; dp[0] = 1; for (int i = 1; i <= n; i++) { if (s[i - 1] == 'a') { if (last_a == -1) dp[i] = (dp[i - 1] * 2) % MOD; else { dp[i] = (2 * dp[i - 1]) % MOD; dp[i] = ((dp[i] - dp[last_a - 1]) % MOD + MOD) % MOD; } last_a = i; } else { if (last_b == -1) dp[i] = (dp[i - 1] * 2) % MOD; else { dp[i] = (2 * dp[i - 1]) % MOD; dp[i] = ((dp[i] - dp[last_b - 1]) % MOD + MOD) % MOD; } last_b = i; } } cout << ((dp[n] - 1 - (sz == 1 ? 1 : fib[sz + 2])) % MOD + MOD) % MOD << '\n'; while (q--) { int idx; char c; cin >> idx >> c; idx--; if (s[idx] != c) { if (idx == 0) { if (s[idx + 1] == c) sz--; else sz++; } else if (idx == n - 1) { if (s[idx - 1] == c) sz--; else sz++; } else { if (s[idx - 1] == c && s[idx + 1] == c) sz -= 2; else if (s[idx] - 1 != c && s[idx + 1] != c) sz += 2; } } s[idx] = c; int last_a = -1, last_b = -1; for (int i = 1; i <= n; i++) { if (s[i - 1] == 'a') { if (last_a == -1) dp[i] = (dp[i - 1] * 2) % MOD; else { dp[i] = (2 * dp[i - 1]) % MOD; dp[i] = ((dp[i] - dp[last_a - 1]) % MOD + MOD) % MOD; } last_a = i; } else { if (last_b == -1) dp[i] = (dp[i - 1] * 2) % MOD; else { dp[i] = (2 * dp[i - 1]) % MOD; dp[i] = ((dp[i] - dp[last_b - 1]) % MOD + MOD) % MOD; } last_b = i; } } cout << ((dp[n] - 1 - (sz == 1 ? 1 : fib[sz + 2])) % MOD + MOD) % MOD << '\n'; } } |
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