QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#394758 | #7782. Ursa Minor | wsyear | WA | 1213ms | 150124kb | C++17 | 5.5kb | 2024-04-20 19:15:00 | 2024-04-20 19:15:01 |
Judging History
answer
// Author: Klay Thompson
// Problem: # 7782. Ursa Minor
// Memory Limit: 1024 MB
// Time Limit: 1000 ms
//
// Powered by CP Editor (https://cpeditor.org)
#include <bits/stdc++.h>
#define rep(i, j, k) for (int i = (j); i <= (k); ++i)
#define per(i, j, k) for (int i = (j); i >= (k); --i)
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(),(v).end()
#define fi first
#define se second
using ll = long long;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;
template<class T>inline void chkmn(T &x, T y) { if (y < x) x = y; }
template<class T>inline void chkmx(T &x, T y) { if (y > x) x = y; }
using namespace std;
template <int P>
class mod_int {
using Z = mod_int;
private:
static int mo(int x) { return x < 0 ? x + P : x; }
public:
int x;
int val() const { return x; }
mod_int() : x(0) {}
template <class T>
mod_int(const T &x_) : x(x_ >= 0 && x_ < P ? static_cast<int>(x_) : mo(static_cast<int>(x_ % P))) {}
bool operator==(const Z &rhs) const { return x == rhs.x; }
bool operator!=(const Z &rhs) const { return x != rhs.x; }
Z operator-() const { return Z(x ? P - x : 0); }
Z pow(long long k) const {
Z res = 1, t = *this;
while (k) {
if (k & 1) res *= t;
if (k >>= 1) t *= t;
}
return res;
}
Z &operator++() {
x < P - 1 ? ++x : x = 0;
return *this;
}
Z &operator--() {
x ? --x : x = P - 1;
return *this;
}
Z operator++(int) {
Z ret = x;
x < P - 1 ? ++x : x = 0;
return ret;
}
Z operator--(int) {
Z ret = x;
x ? --x : x = P - 1;
return ret;
}
Z inv() const { return pow(P - 2); }
Z &operator+=(const Z &rhs) {
(x += rhs.x) >= P && (x -= P);
return *this;
}
Z &operator-=(const Z &rhs) {
(x -= rhs.x) < 0 && (x += P);
return *this;
}
Z &operator*=(const Z &rhs) {
x = 1ULL * x * rhs.x % P;
return *this;
}
Z &operator/=(const Z &rhs) { return *this *= rhs.inv(); }
#define setO(T, o) \
friend T operator o(const Z &lhs, const Z &rhs) {\
Z res = lhs; \
return res o## = rhs; \
}
setO(Z, +) setO(Z, -) setO(Z, *) setO(Z, /)
#undef setO
};
const int P = 1011451423;
using Z = mod_int<P>;
const int maxn = 200010;
const int maxm = 100;
const int B = 80;
const Z iv2 = Z(2).inv();
const Z iv6 = Z(6).inv();
int n, m, q, d[maxn], st[maxn][20];
ll a[maxn], pool[maxn * maxm], *used = pool;
struct fwt {
int n;
ll *t;
fwt() { }
fwt(int m) { n = m, t = used, used += m + 3; }
void upd(int x, ll v) {
while (x <= n) t[x] += v, x += x & (-x);
}
ll qry(int x) {
ll res = 0;
while (x) res += t[x], x -= x & (-x);
return res;
}
} t[maxm][maxm];
struct FWT {
Z t[maxn];
void upd(int x, Z v) {
x++;
while (x <= n + 1) t[x] += v, x += x & (-x);
}
Z qry(int x) {
x++;
Z res = 0;
while (x) res += t[x], x -= x & (-x);
return res;
}
} t0, t1, t2;
Z sum(int n) {
return Z(n) * (n + 1) * iv2;
}
Z sum2(int n) {
return Z(n) * (n + 1) * (2 * n + 1) * iv6;
}
int que(int l, int r) {
int k = __lg(r - l + 1);
return gcd(st[l][k], st[r - (1 << k) + 1][k]);
}
int main() {
cin.tie(nullptr) -> ios::sync_with_stdio(false);
cin >> n >> m >> q;
rep (i, 0, n - 1) cin >> a[i];
rep (i, 1, m) cin >> st[i][0];
rep (j, 1, 19) rep (i, 1, m - (1 << j) + 1)
st[i][j] = gcd(st[i][j - 1], st[i + (1 << (j - 1))][j - 1]);
rep (i, 1, B) rep (j, 0, i - 1) t[i][j] = fwt(n / i + 5);
rep (i, 0, n - 1) rep (j, 1, B) t[j][i % j].upd(i / j + 1, a[i]);
rep (i, 0, n - 1) t0.upd(i, Z(a[i])), t1.upd(i, Z(i) * a[i]), t2.upd(i, Z(i) * i * a[i]);
while (q--) {
string op;
cin >> op;
if (op == "U") {
int x;
cin >> x, x--;
rep (i, 1, B) t[i][x % i].upd(x / i + 1, -a[x]);
t0.upd(x, -Z(a[x])), t1.upd(x, -Z(x) * a[x]), t2.upd(x, -Z(x) * x * a[x]);
cin >> a[x];
rep (i, 1, B) t[i][x % i].upd(x / i + 1, a[x]);
t0.upd(x, Z(a[x])), t1.upd(x, Z(x) * a[x]), t2.upd(x, Z(x) * x * a[x]);
} else {
int l, r, S, T, ok = 1;
cin >> l >> r >> S >> T, l--, r--;
int g = gcd(r - l + 1, que(S, T));
ll lst = 0;
if (g <= B) {
ll lst = 0;
bool ok = 1;
rep (i, 0, g - 1) {
ll L = l + i, R = r - g + i + 1, rg = L % g;
ll sum = t[g][rg].qry(R / g + 1) - t[g][rg].qry(L / g);
if (i && sum != lst) { ok = 0; break; }
lst = sum;
}
cout << (ok ? "Yes" : "No") << '\n';
} else if (r - l + 1 <= 100) {
rep (i, 0, g - 1) {
ll sum = 0;
for (int j = l + i; j <= r; j += g) sum += a[j];
if (i) ok &= (sum == lst);
if (!ok) break;
lst = sum;
}
cout << (ok ? "Yes" : "No") << '\n';
} else {
Z ss0 = 0, ss1 = 0, ss2 = 0;
for (int pl = l, pr = l + g - 1; pr <= r; pl += g, pr += g) {
Z s0 = t0.qry(pr) - t0.qry(pl), s1 = t1.qry(pr) - t1.qry(pl), s2 = t2.qry(pr) - t2.qry(pl);
Z rs0 = s0, rs1 = s1 - s0 * pl, rs2 = s2 - s1 * pl * 2 - s0 * pl * pl;
rs0 -= Z(a[pl]) * (g - 1), rs1 -= Z(a[pl]) * sum(g - 1), rs2 -= Z(a[pl]) * sum2(g - 1);
ss0 += rs0, ss1 += rs1, ss2 += rs2;
}
if ((ss0.val() || ss1.val() || ss2.val())) cout << "No\n";
else cout << "Yes\n";
}
}
}
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 10332kb
input:
6 4 5 1 1 4 5 1 4 3 3 2 4 Q 1 5 1 2 Q 2 5 3 4 U 5 2 Q 1 6 1 2 Q 2 5 3 4
output:
Yes No No Yes
result:
ok 4 tokens
Test #2:
score: 0
Accepted
time: 2ms
memory: 11296kb
input:
1 1 1 0 1 Q 1 1 1 1
output:
Yes
result:
ok "Yes"
Test #3:
score: 0
Accepted
time: 198ms
memory: 11812kb
input:
2000 2000 200000 1 1 2 0 0 2 0 2 0 0 0 0 0 2 2 1 2 0 0 2 2 2 1 0 1 2 1 2 0 0 1 1 1 2 0 0 2 2 2 2 0 2 0 0 2 1 2 0 0 1 2 2 1 0 2 0 0 0 1 2 2 1 2 2 0 0 1 1 1 0 0 2 0 0 1 1 0 2 2 2 1 0 0 1 0 1 2 2 2 1 1 2 2 1 2 1 0 2 2 3 1 3 2 3 1 0 1 2 0 1 1 1 0 2 2 3 2 0 3 2 3 3 1 2 3 1 2 0 1 0 3 1 0 0 2 0 1 2 1 3 2 2...
output:
Yes Yes No Yes Yes No No No Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes No Yes Yes No No No No No Yes No No No Yes Yes No Yes No Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes No Yes Yes Yes No No Yes No Yes No No No Yes Yes Yes Yes Yes Yes Yes Yes Yes No Yes Yes Yes No...
result:
ok 100554 tokens
Test #4:
score: 0
Accepted
time: 113ms
memory: 26012kb
input:
1 200000 200000 998244353 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes Yes ...
result:
ok 100240 tokens
Test #5:
score: 0
Accepted
time: 109ms
memory: 22484kb
input:
6 131072 200000 0 0 0 0 1000000000 1000000000 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 ...
output:
Yes Yes Yes No No No Yes No No No No No Yes Yes No Yes No Yes Yes Yes No No No No No No No Yes No No No Yes Yes Yes Yes Yes Yes Yes Yes No No No No Yes Yes No No No No No No No No No No No No No No No No No No No Yes No No No No No No No No No No No No No No No Yes No No No No No No Yes Yes No Yes N...
result:
ok 100021 tokens
Test #6:
score: -100
Wrong Answer
time: 1213ms
memory: 150124kb
input:
200000 200000 200000 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877 490339877...
output:
No No No No No No No No No No No No No No Yes No No No Yes No No No No No No No No No No No No No No Yes No No No No No Yes Yes Yes No No No No No No No No Yes No No No No No No No No No Yes No No No No No No No No No No No No No No No No No No No No No No No Yes No Yes Yes No No No No No No No No N...
result:
wrong answer 682nd words differ - expected: 'Yes', found: 'No'