結果
| 問題 | No.879 Range Mod 2 Query |
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2019-09-09 01:46:42 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.89.0) |
| 結果 |
AC
|
| 実行時間 | 244 ms / 3,000 ms |
| コード長 | 5,371 bytes |
| 記録 | |
| コンパイル時間 | 1,654 ms |
| コンパイル使用メモリ | 171,772 KB |
| 実行使用メモリ | 16,000 KB |
| 最終ジャッジ日時 | 2024-06-27 15:24:32 |
| 合計ジャッジ時間 | 5,366 ms |
|
ジャッジサーバーID (参考情報) |
judge1 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 |
| other | AC * 21 |
ソースコード
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); i++)
#define repr(i, n) for (int i = (n) - 1; i >= 0; i--)
#define range(a) a.begin(), a.end()
using namespace std;
using ll = long long;
struct semiring {
long long x;
semiring(long long x_ = 0) : x(x_) {}
static semiring zero() { return semiring(0); }
static semiring one() { return semiring(1); }
friend semiring operator+(semiring a, semiring b) { return semiring(a.x + b.x); }
friend semiring operator*(semiring a, semiring b) { return semiring(a.x * b.x); }
};
struct vec {
semiring x0;
semiring x1;
semiring x2;
semiring x3;
};
vec operator+(vec a, vec b) {
a.x0 = a.x0 + b.x0;
a.x1 = a.x1 + b.x1;
a.x2 = a.x2 + b.x2;
a.x3 = a.x3 + b.x3;
return a;
}
struct mat {
int k;
semiring x0;
};
mat operator*(mat a, mat b) {
mat c;
if (a.k == 0 && b.k == 0) { c.k = 2; c.x0 = a.x0; }
if (a.k == 0 && b.k == 1) { c.k = 0; c.x0 = a.x0; }
if (a.k == 0 && b.k == 2) { c.k = 0; c.x0 = a.x0; }
if (a.k == 0 && b.k == 3) { c.k = 2; c.x0 = a.x0; }
if (a.k == 0 && b.k == 4) { c.k = 0; c.x0 = a.x0; }
if (a.k == 0 && b.k == 5) { c.k = 2; c.x0 = a.x0; }
if (a.k == 1 && b.k == 0) { c.k = 3; c.x0 = a.x0; }
if (a.k == 1 && b.k == 1) { c.k = 1; c.x0 = a.x0; }
if (a.k == 1 && b.k == 2) { c.k = 1; c.x0 = a.x0; }
if (a.k == 1 && b.k == 3) { c.k = 3; c.x0 = a.x0; }
if (a.k == 1 && b.k == 4) { c.k = 1; c.x0 = a.x0; }
if (a.k == 1 && b.k == 5) { c.k = 3; c.x0 = a.x0; }
if (a.k == 2 && b.k == 0) { c.k = 0; c.x0 = a.x0; }
if (a.k == 2 && b.k == 1) { c.k = 2; c.x0 = a.x0; }
if (a.k == 2 && b.k == 2) { c.k = 2; c.x0 = a.x0; }
if (a.k == 2 && b.k == 3) { c.k = 0; c.x0 = a.x0; }
if (a.k == 2 && b.k == 4) { c.k = 2; c.x0 = a.x0; }
if (a.k == 2 && b.k == 5) { c.k = 0; c.x0 = a.x0; }
if (a.k == 3 && b.k == 0) { c.k = 1; c.x0 = a.x0; }
if (a.k == 3 && b.k == 1) { c.k = 3; c.x0 = a.x0; }
if (a.k == 3 && b.k == 2) { c.k = 3; c.x0 = a.x0; }
if (a.k == 3 && b.k == 3) { c.k = 1; c.x0 = a.x0; }
if (a.k == 3 && b.k == 4) { c.k = 3; c.x0 = a.x0; }
if (a.k == 3 && b.k == 5) { c.k = 1; c.x0 = a.x0; }
if (a.k == 4 && b.k == 0) { c.k = 0; c.x0 = b.x0 + a.x0; }
if (a.k == 4 && b.k == 1) { c.k = 1; c.x0 = b.x0 + a.x0; }
if (a.k == 4 && b.k == 2) { c.k = 2; c.x0 = b.x0 + a.x0; }
if (a.k == 4 && b.k == 3) { c.k = 3; c.x0 = b.x0 + a.x0; }
if (a.k == 4 && b.k == 4) { c.k = 4; c.x0 = b.x0 + a.x0; }
if (a.k == 4 && b.k == 5) { c.k = 5; c.x0 = b.x0 + a.x0; }
if (a.k == 5 && b.k == 0) { c.k = 1; c.x0 = b.x0 + a.x0; }
if (a.k == 5 && b.k == 1) { c.k = 0; c.x0 = b.x0 + a.x0; }
if (a.k == 5 && b.k == 2) { c.k = 3; c.x0 = b.x0 + a.x0; }
if (a.k == 5 && b.k == 3) { c.k = 2; c.x0 = b.x0 + a.x0; }
if (a.k == 5 && b.k == 4) { c.k = 5; c.x0 = b.x0 + a.x0; }
if (a.k == 5 && b.k == 5) { c.k = 4; c.x0 = b.x0 + a.x0; }
return c;
}
vec operator*(mat a, vec b) {
vec c;
if (a.k == 0) { c.x0 = b.x2 + a.x0*b.x3; c.x1 = b.x2; c.x2 = b.x1; c.x3 = b.x3; }
if (a.k == 1) { c.x0 = b.x2 + a.x0*b.x3; c.x1 = b.x1; c.x2 = b.x2; c.x3 = b.x3; }
if (a.k == 2) { c.x0 = b.x1 + a.x0*b.x3; c.x1 = b.x1; c.x2 = b.x2; c.x3 = b.x3; }
if (a.k == 3) { c.x0 = b.x1 + a.x0*b.x3; c.x1 = b.x2; c.x2 = b.x1; c.x3 = b.x3; }
if (a.k == 4) { c.x0 = b.x0 + a.x0*b.x3; c.x1 = b.x1; c.x2 = b.x2; c.x3 = b.x3; }
if (a.k == 5) { c.x0 = b.x0 + a.x0*b.x3; c.x1 = b.x2; c.x2 = b.x1; c.x3 = b.x3; }
return c;
}
mat identity() {
mat a;
a.k = 4;
a.x0 = semiring::zero();
return a;
}
mat typeA() {
mat a;
a.k = 2;
a.x0 = semiring::zero();
return a;
}
mat typeB(semiring x0) {
mat a;
a.k = 5;
a.x0 = x0;
return a;
}
mat typeC(semiring x0) {
mat a;
a.k = 4;
a.x0 = x0;
return a;
}
constexpr int U = 1 << 17;
vec dat[U * 2];
mat lazy[U * 2];
void apply(int k, mat v) {
lazy[k] = v * lazy[k];
dat[k] = v * dat[k];
}
void push(int k) {
apply(k * 2 + 0, lazy[k]);
apply(k * 2 + 1, lazy[k]);
lazy[k] = identity();
}
void pull(int k) {
dat[k] = dat[k * 2] + dat[k * 2 + 1];
}
void update(int a, int b, mat v, int k = 1, int l = 0, int r = U) {
if (r <= a || b <= l) return;
if (a <= l && r <= b) {
apply(k, v);
return;
}
push(k);
int m = (l + r) / 2;
update(a, b, v, k * 2 + 0, l, m);
update(a, b, v, k * 2 + 1, m, r);
pull(k);
}
vec query(int a, int b, int k = 1, int l = 0, int r = U) {
if (r <= a || b <= l) return vec{};
if (a <= l && r <= b) return dat[k];
push(k);
int m = (l + r) / 2;
vec vl = query(a, b, k * 2 + 0, l, m);
vec vr = query(a, b, k * 2 + 1, m, r);
return vl + vr;
}
int main() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
int N, Q; cin >> N >> Q;
vector<int> A(N);
rep(i, U * 2) lazy[i] = identity();
rep(i, N) {
cin >> A[i];
dat[i + U].x0 = A[i];
dat[i + U].x1 = A[i] % 2;
dat[i + U].x2 = (A[i] + 1) % 2;
dat[i + U].x3 = 1;
}
for (int i = U - 1; i >= 1; i--) pull(i);
while (Q--) {
int type; cin >> type;
if (type == 1) {
int l, r; cin >> l >> r; l--;
update(l, r, typeA());
} else if (type == 2) {
int l, r, x; cin >> l >> r >> x; l--;
if (x % 2 == 1) {
update(l, r, typeB(x));
} else {
update(l, r, typeC(x));
}
} else {
int l, r; cin >> l >> r; l--;
vec ans = query(l, r);
cout << ans.x0.x << '\n';
}
}
}