#include <bits/stdc++.h>
using namespace std;
#define sim template < class c
#define ris return * this
#define dor > debug & operator <<
#define eni(x) sim > typename \
enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) {
sim > struct rge { c b, e; };
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c* x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug {
#ifdef LOCAL
~debug() { cerr << endl; }
eni(!=) cerr << boolalpha << i; ris; }
eni(==) ris << range(begin(i), end(i)); }
sim, class b dor(pair < b, c > d) {
ris << "(" << d.first << ", " << d.second << ")";
}
sim dor(rge<c> d) {
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c&) { ris; }
#endif
};
#define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] "
// debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; }
const int MOD = 1e9 + 7;
int main() {
int n, q;
scanf("%d%d", &n, &q);
vector<vector<int>> dp(n+1, vector<int>(3));
// dp[n][r] = (n choose r) + (n choose r+3) + ...
dp[0][0] = 1;
for (int k = 1; k <= n; k++) {
for (int r = 0; r < 3; r++) {
dp[k][r] = (dp[k-1][r] + dp[k-1][(r+2)%3]) % MOD;
}
}
static char s[200123];
scanf("%s", s);
assert(n == (int) strlen(s));
int marks = 0; // number of question marks (N)
int sum3 = 0; // sum of +1 and +2
vector<int> bad(2); // count of mismatches with 10101 or 01010
auto CHANGE = [&](int i, int TYPE) {
if (s[i] == 'N') {
marks += TYPE;
}
sum3 += (s[i] == 'C' ? 2 : 1) * TYPE;
if (s[i] == 'C') {
bad[i%2] += TYPE;
}
if (s[i] == 'Z') {
bad[(i+1)%2] += TYPE;
}
};
auto INSERT = [&](int i) { CHANGE(i, +1); };
auto ERASE = [&](int i) { CHANGE(i, -1); };
for (int i = 0; i < n; i++) {
INSERT(i);
}
auto query = [&]() {
int answer = 0;
for (int r = 0; r < 3; r++) {
if ((sum3 + r) % 3 != 0) {
answer = (answer + dp[marks][r]) % MOD;
}
}
// consider 10101 and 01010
if (n % 2 == 1 && n >= 3) {
for (int b : bad) {
if (b == 0) {
answer = (answer + MOD - 1) % MOD;
}
}
}
printf("%d\n", answer);
};
query();
while (q--) {
int i;
scanf("%d", &i);
i--;
ERASE(i);
scanf(" %c", &s[i]);
INSERT(i);
query();
}
}
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 | #include <bits/stdc++.h> using namespace std; #define sim template < class c #define ris return * this #define dor > debug & operator << #define eni(x) sim > typename \ enable_if<sizeof dud<c>(0) x 1, debug&>::type operator<<(c i) { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c* x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef LOCAL ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair < b, c > d) { ris << "(" << d.first << ", " << d.second << ")"; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c&) { ris; } #endif }; #define imie(...) " [" << #__VA_ARGS__ ": " << (__VA_ARGS__) << "] " // debug & operator << (debug & dd, P p) { dd << "(" << p.x << ", " << p.y << ")"; return dd; } const int MOD = 1e9 + 7; int main() { int n, q; scanf("%d%d", &n, &q); vector<vector<int>> dp(n+1, vector<int>(3)); // dp[n][r] = (n choose r) + (n choose r+3) + ... dp[0][0] = 1; for (int k = 1; k <= n; k++) { for (int r = 0; r < 3; r++) { dp[k][r] = (dp[k-1][r] + dp[k-1][(r+2)%3]) % MOD; } } static char s[200123]; scanf("%s", s); assert(n == (int) strlen(s)); int marks = 0; // number of question marks (N) int sum3 = 0; // sum of +1 and +2 vector<int> bad(2); // count of mismatches with 10101 or 01010 auto CHANGE = [&](int i, int TYPE) { if (s[i] == 'N') { marks += TYPE; } sum3 += (s[i] == 'C' ? 2 : 1) * TYPE; if (s[i] == 'C') { bad[i%2] += TYPE; } if (s[i] == 'Z') { bad[(i+1)%2] += TYPE; } }; auto INSERT = [&](int i) { CHANGE(i, +1); }; auto ERASE = [&](int i) { CHANGE(i, -1); }; for (int i = 0; i < n; i++) { INSERT(i); } auto query = [&]() { int answer = 0; for (int r = 0; r < 3; r++) { if ((sum3 + r) % 3 != 0) { answer = (answer + dp[marks][r]) % MOD; } } // consider 10101 and 01010 if (n % 2 == 1 && n >= 3) { for (int b : bad) { if (b == 0) { answer = (answer + MOD - 1) % MOD; } } } printf("%d\n", answer); }; query(); while (q--) { int i; scanf("%d", &i); i--; ERASE(i); scanf(" %c", &s[i]); INSERT(i); query(); } } |
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