結果
問題 | No.2762 Counting and Deleting |
ユーザー |
|
提出日時 | 2024-05-18 15:29:21 |
言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 1,031 ms / 4,000 ms |
コード長 | 6,665 bytes |
コンパイル時間 | 6,209 ms |
コンパイル使用メモリ | 332,120 KB |
実行使用メモリ | 45,004 KB |
最終ジャッジ日時 | 2024-12-20 16:23:56 |
合計ジャッジ時間 | 16,406 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge1 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 2 |
other | AC * 15 |
ソースコード
#include <bits/stdc++.h>#include <atcoder/all>using namespace std;using namespace atcoder;istream &operator>>(istream &is, modint &a) { long long v; is >> v; a = v; return is; }ostream &operator<<(ostream &os, const modint &a) { return os << a.val(); }istream &operator>>(istream &is, modint998244353 &a) { long long v; is >> v; a = v; return is; }ostream &operator<<(ostream &os, const modint998244353 &a) { return os << a.val(); }istream &operator>>(istream &is, modint1000000007 &a) { long long v; is >> v; a = v; return is; }ostream &operator<<(ostream &os, const modint1000000007 &a) { return os << a.val(); }typedef long long ll;typedef vector<vector<int>> Graph;typedef pair<int, int> pii;typedef pair<ll, ll> pll;#define FOR(i,l,r) for (int i = l;i < (int)(r); i++)#define rep(i,n) for (int i = 0;i < (int)(n); i++)#define all(x) x.begin(), x.end()#define rall(x) x.rbegin(), x.rend()#define my_sort(x) sort(x.begin(), x.end())#define my_max(x) *max_element(all(x))#define my_min(x) *min_element(all(x))template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }const int INF = (1<<30) - 1;const ll LINF = (1LL<<62) - 1;const int MOD = 998244353;const int MOD2 = 1e9+7;const double PI = acos(-1);vector<int> di = {1,0,-1,0};vector<int> dj = {0,1,0,-1};#ifdef LOCAL# include <debug_print.hpp># define debug(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)#else# define debug(...) (static_cast<void>(0))#endif// https://youtu.be/ylWYSurx10A?t=2352template<typename T>struct Matrix{int h, w;vector<vector<T>> d;Matrix() {}Matrix(int h, int w, T val=0): h(h), w(w), d(h, vector<T>(w,val)) {}Matrix(int n, T val=0): h(n), w(n), d(n, vector<T>(n,val)) {}Matrix& unit(){assert(h == w);rep(i,h) d[i][i] = 1;return *this;}const vector<T>& operator[](int i) const { return d[i];}vector<T>& operator[](int i) { return d[i];}Matrix operator+(const Matrix& a) const {assert(h == a.h && w == a.w);Matrix r(h, w);rep(i,h)rep(j,w){r[i][j] = d[i][j] + a[i][j];}return r;}Matrix &operator+=(const Matrix& a) const {assert(h == a.h && w == a.w);rep(i,h)rep(j,w){(*this)[i][j] += a[i][j];}return (*this);}Matrix operator-(const Matrix& a) const {assert(h == a.h && w == a.w);Matrix r(h, w);rep(i,h)rep(j,w){r[i][j] = d[i][j] - a[i][j];}return r;}Matrix &operator-=(const Matrix& a) const {assert(h == a.h && w == a.w);rep(i,h)rep(j,w){(*this)[i][j] -= a[i][j];}return (*this);}Matrix operator*(const Matrix& a) const {assert(w == a.h);Matrix r(h, a.w);rep(i,h)rep(k,w)rep(j,a.w){r[i][j] += d[i][k] * a[k][j];}return r;}Matrix &operator*=(const Matrix& a) const {assert(w == a.h);vector<vector<T>> nd(h, vector<T>(w));rep(i,h)rep(k,w)rep(j,a.w){nd[i][j] += (*this)[i][k] * a[k][j];}d = move(nd);return (*this);}vector<T> operator*(const vector<T> &a) const {// res[i] = sum{ M[i][j] * x[j] } (j = 0 ... h-1)assert(w == (int)a.size());vector<T> r(h);rep(i,h)rep(j,w){r[i] += (*this)[i][j] * a[j];}return r;}Matrix operator*(const T &a) const {Matrix r(h, w);rep(i,h)rep(j,w){r[i][j] = (*this)[i][j] * a;}return r;}Matrix &operator*=(const T &a) const {vector<vector<T>> nd(h, vector<T>(w));rep(i,h)rep(j,w){nd[i][j] = (*this)[i][j] * a;}d = move(nd);return (*this);}bool operator==(const Matrix &a){if(h != a.h || w != a.w) return false;rep(i,h)rep(j,w){if((*this)[i][j] != a[i][j]) return false;}return true;}friend ostream &operator<<(ostream &os, Matrix &a){rep(i,a.h){os << (i == 0 ? '[' : ' ');rep(j,a.w) os << (j == 0 ? '[' : ' ') << a[i][j] << (j == a.w - 1 ? "]" : ",");os << (i == a.h - 1 ? "]" : ",") << '\n';}return os;}// pii hw = mat.shape();pair<int, int> shape() {return {this->h, this->w};}// auto eye = Matrix<mint>::eye(3);static Matrix eye(int n){Matrix mat(n, n);mat.unit();return mat;}// auto AK = A.pow(K);Matrix pow(long long t) const {assert(h == w);if(!t) Matrix(h, h).unit();if(t == 1) return *this;Matrix r = pow(t >> 1);r = r * r;if(t & 1) r = r * (*this);return r;}T det(){assert(h == w);T res = 1;rep(k,h){for(int i = k; i < h; i++){if(d[i][k] == 0) continue;if(i != k){swap(d[i], d[k]);res = -res;}}if(d[k][k] == 0) return 0;res *= d[k][k];T inv = T(1) / d[k][k];rep(j,h) d[k][j] *= inv;for(int i = k + 1; i < h; i++){T c = d[i][k];for(int j = k; j < h; j++) d[i][j] -= d[k][j] * c;}}return res;}};const int D = 3;using mint = modint998244353;using S = Matrix<mint>;S op(S a, S b){return a * b;}S e(){ return Matrix<mint>::eye(D);}int main(){cin.tie(0);ios_base::sync_with_stdio(false);int N, Q; cin >> N >> Q;string T; cin >> T;S eye = e();S zero = e();zero[0][1] = 1;S one = e();one[1][0] = 1;one[1][2] = 1;vector<S> dat(N);rep(i, N){if(T[i] == '0') dat[N - 1 - i] = zero;if(T[i] == '1') dat[N - 1 - i] = one;}segtree<S,op,e> seg(dat);set<int> rest;rep(i, N) rest.insert(i);while(Q--){int f, l, r; cin >> f >> l >> r;l--;if(f == 1){auto itr = rest.lower_bound(l);while(itr != rest.end() && *itr < r){seg.set(N - 1 - *itr, eye);itr = rest.erase(itr);}}else{S res = seg.prod((N - 1) - r + 1, N - 1 - l + 1);cout << res[0][2] + res[1][2] << endl;}}}