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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#601325 | #9429. Subarray | ucup-team4474 | WA | 268ms | 46664kb | C++20 | 5.7kb | 2024-09-29 22:21:21 | 2024-09-29 22:21:22 |
Judging History
answer
#include <bits/stdc++.h>
using i64 = long long;
using namespace std;
const int P = 998244353;
using Poly = vector<int>;
#define MUL(a, b) (i64(a) * (b) % P)
#define ADD(a, b) (((a) += (b)) >= P ? (a) -= P : 0)
#define SUB(a, b) (((a) -= (b)) < 0 ? (a) += P : 0)
Poly getInv(int L)
{
Poly inv(L);
inv[1] = 1;
for (int i = 2; i < L; i++)
inv[i] = MUL((P - P / i), inv[P % i]);
return inv;
}
int POW(i64 a, int b = P - 2, i64 x = 1)
{
for (; b; b >>= 1, a = a * a % P)
if (b & 1)
x = x * a % P;
return x;
}
namespace NTT
{
const int g = 3;
Poly Omega(int L)
{
int wn = POW(g, P / L);
Poly w(L);
w[L >> 1] = 1;
for (int i = L / 2 + 1; i < L; i++)
w[i] = MUL(w[i - 1], wn);
for (int i = L / 2 - 1; i >= 1; i--)
w[i] = w[i << 1];
return w;
}
auto W = Omega(1 << 20);
void DIF(int *a, int n)
{
for (int k = n >> 1; k; k >>= 1)
for (int i = 0, y; i < n; i += k << 1)
for (int j = 0; j < k; j++)
y = a[i + j + k], a[i + j + k] = MUL(a[i + j] - y + P, W[k + j]), ADD(a[i + j], y);
}
void IDFT(int *a, int n)
{
for (int k = 1; k < n; k <<= 1)
for (int i = 0, x, y; i < n; i += k << 1)
for (int j = 0; j < k; j++)
x = a[i + j], y = MUL(a[i + j + k], W[k + j]),
a[i + j + k] = x - y < 0 ? x - y + P : x - y, ADD(a[i + j], y);
int Inv = P - (P - 1) / n;
for (int i = 0; i < n; i++)
a[i] = MUL(a[i], Inv);
reverse(a + 1, a + n);
}
}
namespace Polynomial
{
int norm(int n) { return 1 << (__lg(n - 1) + 1); }
void norm(Poly &a)
{
if (!a.empty())
a.resize(norm(a.size()), 0);
else
a = {0};
}
void DFT(Poly &a) { NTT::DIF(a.data(), a.size()); }
void IDFT(Poly &a) { NTT::IDFT(a.data(), a.size()); }
Poly &dot(Poly &a, Poly &b)
{
for (int i = 0; i < a.size(); i++)
a[i] = MUL(a[i], b[i]);
return a;
}
Poly operator*(Poly a, Poly b)
{
int n = a.size() + b.size() - 1, L = norm(n);
if (a.size() <= 8 || b.size() <= 8)
{
Poly c(n);
for (int i = 0; i < a.size(); i++)
for (int j = 0; j < b.size(); j++)
c[i + j] = (c[i + j] + (i64)a[i] * b[j] % P);
return c;
}
a.resize(L), b.resize(L);
DFT(a), DFT(b), dot(a, b), IDFT(a);
return a.resize(n), a;
}
}
using namespace Polynomial;
void solve()
{
int n;
cin >> n;
vector<int> a(n + 1);
for (int i = 1; i <= n; i++)
cin >> a[i];
vector<array<int, 19>> b(n + 1);
map<int, vector<int>> pos;
vector<int> logn(n + 1, -1);
for (int i = 1; i <= n; i++)
{
logn[i] = logn[i >> 1] + 1;
pos[a[i]].push_back(i);
b[i][0] = a[i];
}
for (int j = 1; j <= 18; j++)
for (int i = 1; i + (1 << j) - 1 <= n; i++)
b[i][j] = max(b[i][j - 1], b[i + (1 << (j - 1))][j - 1]);
auto ask = [&](int l, int r) -> int
{
int s = logn[r - l + 1];
return max(b[l][s], b[r - (1 << s) + 1][s]);
};
Poly ans(n + 1);
auto solve = [&](auto &solve, int cur, int l, int r) -> void
{
if (l < cur)
{
int val = ask(l, cur - 1);
auto &t = pos[val];
vector<int> tmp{l - 1};
for (auto it = lower_bound(t.begin(), t.end(), l); it != t.end() and *it < cur; it++)
tmp.push_back(*it);
tmp.push_back(cur);
Poly f(tmp.size() - 1);
for (int j = 1; j < tmp.size(); j++)
f[j - 1] = tmp[j] - tmp[j - 1];
auto g = f;
reverse(g.begin(), g.end());
auto h = f * g;
int p = f.size();
for (int j = p - 1; j < p * 2 - 1; j++)
ADD(ans[j - p + 1], h[j]);
for (int j = 1; j + 1 < tmp.size(); j++)
{
if (j == 1)
solve(solve, tmp[j], tmp[j - 1] + 1, tmp[j + 1] - 1);
else
solve(solve, tmp[j], tmp[j], tmp[j + 1] - 1);
}
}
if (cur < r)
{
int val = ask(cur + 1, r);
auto &t = pos[val];
vector<int> tmp{cur};
for (auto it = lower_bound(t.begin(), t.end(), cur); it != t.end() and *it <= r; it++)
tmp.push_back(*it);
tmp.push_back(r + 1);
Poly f(tmp.size() - 1);
for (int j = 1; j < tmp.size(); j++)
f[j - 1] = tmp[j] - tmp[j - 1];
auto g = f;
reverse(g.begin(), g.end());
auto h = f * g;
int p = f.size();
for (int j = p - 1; j < p * 2 - 1; j++)
ADD(ans[j - p + 1], h[j]);
for (int j = 1; j + 1 < tmp.size(); j++)
{
if (j == 1)
solve(solve, tmp[j], tmp[j - 1] + 1, tmp[j + 1] - 1);
else
solve(solve, tmp[j], tmp[j], tmp[j + 1] - 1);
}
}
};
solve(solve, 0, 1, n);
int res = 0;
for (int i = 1; i <= n; i++)
res = (res + 1ll * i * ans[i] % P * ans[i] % P) % P;
cout << res << '\n';
}
/*
3
11
1 1 2 1 2 2 3 3 2 3 1
3
2024 5 26
3
1000000000 1000000000 1000000000
*/
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
cin >> t;
while (t--)
solve();
}
詳細信息
Test #1:
score: 100
Accepted
time: 4ms
memory: 7008kb
input:
3 11 1 1 2 1 2 2 3 3 2 3 1 3 2024 5 26 3 1000000000 1000000000 1000000000
output:
2564 36 20
result:
ok 3 lines
Test #2:
score: 0
Accepted
time: 107ms
memory: 19156kb
input:
2522 12 642802746 634074578 642802746 634074578 642802746 634074578 634074578 642802746 740396295 634074578 740396295 634074578 16 305950462 400920468 400920468 305950462 400920468 305950462 400920468 400920468 400920468 400920468 305950462 305950462 400920468 305950462 305950462 305950462 2 4405082...
output:
3610 7545 9 1 50 1006 16170 5972 3117 540 540 4417 12885 336 3185 83 9272 27 1794 2776 1793 196 27 1377 8783 19723 5385 1864 3478 7101 1 431 825 4534 9900 162 21644 6 36 14088 306 9 57 1719 72 9 4637 68 16583 17701 19390 16282 5440 1 6 1716 19541 3823 2033 24 825 429 1911 11787 11388 12255 12175 126...
result:
ok 2522 lines
Test #3:
score: 0
Accepted
time: 148ms
memory: 44836kb
input:
1 400000 860350786 641009859 939887597 54748096 641009859 860350786 710156469 985188306 476927808 641009859 985188306 322595515 322595515 973764525 54748096 939887597 54748096 476927808 588586447 669240390 54748096 476927808 669240390 804928248 669240390 75475634 804928248 669240390 985188306 754756...
output:
300998364
result:
ok single line: '300998364'
Test #4:
score: 0
Accepted
time: 166ms
memory: 43760kb
input:
1 400000 860422965 880311831 389867323 711027909 603801945 977217669 127611088 468302420 100563882 896362064 321065270 937796491 106388135 679974087 799365054 508500258 155801089 72992050 568198964 469117950 605828088 147285088 931759705 335154243 123769214 717250374 123769214 588271814 193910044 58...
output:
642490751
result:
ok single line: '642490751'
Test #5:
score: -100
Wrong Answer
time: 268ms
memory: 46664kb
input:
1 400000 489576972 624268112 792793292 261080167 299965397 570683924 43370033 865049228 160224484 597021302 799302320 154578623 616009875 817736437 422498140 177450324 576706528 701882608 322199948 469659816 265384591 886524303 331787804 922381773 642896492 36870304 922875786 328785523 506357505 778...
output:
545691233
result:
wrong answer 1st lines differ - expected: '728396411', found: '545691233'