/*
Zadanie: Wielki Zderzacz Termionów
Autor: Tomasz Kwiatkowski
*/
#include <bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
using namespace std;
typedef long long ll;
const int MAXN = 2e5 + 7;
const int MOD = 1e9 + 7;
int dp[MAXN][6];
int cntN;
int cnt[2][2];
int n, q;
string s;
void update(char c, int i, int d)
{
if (c == 'N')
cntN += d;
else
cnt[c == 'Z'][i % 2] += d;
}
int result()
{
if (n == 1) return 1 + (s[0] == 'N');
int z = cnt[1][0] + cnt[1][1];
int m = (((1 + 2*n - z) % 3) + 3) % 3;
int res = dp[cntN][m];
res = (res + dp[cntN][(m + 1) % 3]) % MOD;
//cout << m << ' ' << res << '\n';
if (cnt[1][0] == 0 && cnt[0][1] == 0 && ((m + z) % 3 == ((n / 2) % 3) || (m + 1 + z) % 3 == ((n / 2) % 3)))
res = (res + MOD - 1) % MOD;
if (cnt[1][1] == 0 && cnt[0][0] == 0 && ((m + z) % 3 == (((n + 1) / 2) % 3) || (m + 1 + z) % 3 == (((n + 1) / 2) % 3)))
res = (res + MOD - 1) % MOD;
return res;
}
int main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cin >> n >> q;
cin >> s;
dp[0][0] = 1;
for (int w = 1; w <= n; ++w) {
for (int k = 0; k < min(w+1, 3); ++k)
dp[w][k] = (dp[w - 1][k] + dp[w - 1][(k + 2) % 3]) % MOD;
}
for (int i = 0; i < n; ++i)
update(s[i], i, +1);
cout << result() << '\n';
for (int i = 0; i < q; ++i) {
int k;
char c;
cin >> k >> c;
update(s[k - 1], k - 1, -1);
update(c, k - 1, +1);
s[k - 1] = c;
cout << result() << '\n';
}
return 0;
}
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 | /* Zadanie: Wielki Zderzacz Termionów Autor: Tomasz Kwiatkowski */ #include <bits/stdc++.h> #define fi first #define se second #define pb push_back using namespace std; typedef long long ll; const int MAXN = 2e5 + 7; const int MOD = 1e9 + 7; int dp[MAXN][6]; int cntN; int cnt[2][2]; int n, q; string s; void update(char c, int i, int d) { if (c == 'N') cntN += d; else cnt[c == 'Z'][i % 2] += d; } int result() { if (n == 1) return 1 + (s[0] == 'N'); int z = cnt[1][0] + cnt[1][1]; int m = (((1 + 2*n - z) % 3) + 3) % 3; int res = dp[cntN][m]; res = (res + dp[cntN][(m + 1) % 3]) % MOD; //cout << m << ' ' << res << '\n'; if (cnt[1][0] == 0 && cnt[0][1] == 0 && ((m + z) % 3 == ((n / 2) % 3) || (m + 1 + z) % 3 == ((n / 2) % 3))) res = (res + MOD - 1) % MOD; if (cnt[1][1] == 0 && cnt[0][0] == 0 && ((m + z) % 3 == (((n + 1) / 2) % 3) || (m + 1 + z) % 3 == (((n + 1) / 2) % 3))) res = (res + MOD - 1) % MOD; return res; } int main() { ios_base::sync_with_stdio(0); cin.tie(0); cin >> n >> q; cin >> s; dp[0][0] = 1; for (int w = 1; w <= n; ++w) { for (int k = 0; k < min(w+1, 3); ++k) dp[w][k] = (dp[w - 1][k] + dp[w - 1][(k + 2) % 3]) % MOD; } for (int i = 0; i < n; ++i) update(s[i], i, +1); cout << result() << '\n'; for (int i = 0; i < q; ++i) { int k; char c; cin >> k >> c; update(s[k - 1], k - 1, -1); update(c, k - 1, +1); s[k - 1] = c; cout << result() << '\n'; } return 0; } |
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