#include <chrono> #include <cassert> #include <string> #include <array> #include <deque> #include <map> #include <queue> #include <set> #include <unordered_map> #include <unordered_set> #include <vector> #include <iterator> #include <algorithm> #include <cmath> #include <complex> #include <numeric> #include <random> #include <ios> #include <iostream> #include <bitset> using namespace std; #define fwd(i, a, b) for (int i = (a); i < (b); ++ i) #define rep(i, n) for (int i = 0; i < (n); ++ i) #define all(x) (x).begin(), (x).end() #define sz(x) ((int)x.size()) #define st first #define nd second #define pii pair<int, int> #define vi vector<int> #define fastio ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0) #define ll long long #ifdef LOCAL template<typename Stream, typename T1, typename T2> Stream& operator << (Stream& out, pair<T1, T2> a) {return out << "(" << a.st << ", " << a.nd << ")";} template<typename Stream, typename T> Stream &operator << (Stream& out, T v) { out << "{"; int i = 0; for (auto x : v) out << x << ((++ i) != sz(v) ? ", " : ""); return out << "}"; } template<typename... Args> void dump(Args... x) {((cerr << x << ", "), ...) << '\n';} #define debug(x...) cerr << "[" #x "]: ", dump(x) #else #define debug(...) 0 #endif const int mod = 1000 * 1000 * 1000 + 7; const int maxN = 200 * 1000; int binom[maxN + 1][3]; void prep() { binom[0][0] = 1; fwd(i, 1, maxN + 1) { binom[i][0] = (binom[i - 1][0] + binom[i - 1][2]) % mod; binom[i][1] = (binom[i - 1][1] + binom[i - 1][0]) % mod; binom[i][2] = (binom[i - 1][2] + binom[i - 1][1]) % mod; } } int get(int n, int Cb, int Zb, int C, int Z, int N) { int ok = ((binom[N][0] + binom[N][1]) % mod + binom[N][2]) % mod; if (n > 1 && n & 1) { if (Cb == 0) ok = (ok + mod - 1) % mod; if (Zb == 0) ok = (ok + mod - 1) % mod; } ok = (ok + mod - binom[N][(2 * (n + C)) % 3]) % mod; return ok; } int32_t main() { fastio; prep(); int n, q; cin >> n >> q; string s; cin >> s; int C = 0, Z = 0, N = 0; int Cb = 0, Zb = 0; rep(i, sz(s)) { if (s[i] == 'C') { ++ C; if (i % 2 == 0) ++ Zb; else ++ Cb; } else if (s[i] == 'Z') { ++ Z; if (i % 2 == 0) ++ Cb; else ++ Zb; } else { ++ N; } } cout << get(n, Cb, Zb, C, Z, N) << '\n'; while (q -- ) { int p; char c; cin >> p >> c; -- p; if (s[p] == 'C') { -- C; if (p % 2 == 0) -- Zb; else -- Cb; } else if (s[p] == 'Z') { -- Z; if (p % 2 == 0) -- Cb; else -- Zb; } else { -- N; } if (c == 'C') { ++ C; if (p % 2 == 0) ++ Zb; else ++ Cb; } else if (c == 'Z') { ++ Z; if (p % 2 == 0) ++ Cb; else ++ Zb; } else { ++ N; } s[p] = c; cout << get(n, Cb, Zb, C, Z, N) << '\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 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 | #include <chrono> #include <cassert> #include <string> #include <array> #include <deque> #include <map> #include <queue> #include <set> #include <unordered_map> #include <unordered_set> #include <vector> #include <iterator> #include <algorithm> #include <cmath> #include <complex> #include <numeric> #include <random> #include <ios> #include <iostream> #include <bitset> using namespace std; #define fwd(i, a, b) for (int i = (a); i < (b); ++ i) #define rep(i, n) for (int i = 0; i < (n); ++ i) #define all(x) (x).begin(), (x).end() #define sz(x) ((int)x.size()) #define st first #define nd second #define pii pair<int, int> #define vi vector<int> #define fastio ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0) #define ll long long #ifdef LOCAL template<typename Stream, typename T1, typename T2> Stream& operator << (Stream& out, pair<T1, T2> a) {return out << "(" << a.st << ", " << a.nd << ")";} template<typename Stream, typename T> Stream &operator << (Stream& out, T v) { out << "{"; int i = 0; for (auto x : v) out << x << ((++ i) != sz(v) ? ", " : ""); return out << "}"; } template<typename... Args> void dump(Args... x) {((cerr << x << ", "), ...) << '\n';} #define debug(x...) cerr << "[" #x "]: ", dump(x) #else #define debug(...) 0 #endif const int mod = 1000 * 1000 * 1000 + 7; const int maxN = 200 * 1000; int binom[maxN + 1][3]; void prep() { binom[0][0] = 1; fwd(i, 1, maxN + 1) { binom[i][0] = (binom[i - 1][0] + binom[i - 1][2]) % mod; binom[i][1] = (binom[i - 1][1] + binom[i - 1][0]) % mod; binom[i][2] = (binom[i - 1][2] + binom[i - 1][1]) % mod; } } int get(int n, int Cb, int Zb, int C, int Z, int N) { int ok = ((binom[N][0] + binom[N][1]) % mod + binom[N][2]) % mod; if (n > 1 && n & 1) { if (Cb == 0) ok = (ok + mod - 1) % mod; if (Zb == 0) ok = (ok + mod - 1) % mod; } ok = (ok + mod - binom[N][(2 * (n + C)) % 3]) % mod; return ok; } int32_t main() { fastio; prep(); int n, q; cin >> n >> q; string s; cin >> s; int C = 0, Z = 0, N = 0; int Cb = 0, Zb = 0; rep(i, sz(s)) { if (s[i] == 'C') { ++ C; if (i % 2 == 0) ++ Zb; else ++ Cb; } else if (s[i] == 'Z') { ++ Z; if (i % 2 == 0) ++ Cb; else ++ Zb; } else { ++ N; } } cout << get(n, Cb, Zb, C, Z, N) << '\n'; while (q -- ) { int p; char c; cin >> p >> c; -- p; if (s[p] == 'C') { -- C; if (p % 2 == 0) -- Zb; else -- Cb; } else if (s[p] == 'Z') { -- Z; if (p % 2 == 0) -- Cb; else -- Zb; } else { -- N; } if (c == 'C') { ++ C; if (p % 2 == 0) ++ Zb; else ++ Cb; } else if (c == 'Z') { ++ Z; if (p % 2 == 0) ++ Cb; else ++ Zb; } else { ++ N; } s[p] = c; cout << get(n, Cb, Zb, C, Z, N) << '\n'; } return 0; } |