QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#709656 | #9429. Subarray | Hojstyer | RE | 576ms | 90300kb | C++20 | 6.2kb | 2024-11-04 16:04:31 | 2024-11-04 16:04:33 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int MAXN = 1e6 + 10;
const int p = 998244353, g = 3, gi = 332748118;
ll qpow(ll a, ll b)
{
ll res = 1;
while (b)
{
if (b & 1)
res = res * a % p;
a = a * a % p;
b >>= 1;
}
return res;
}
vector<int> R(MAXN);
void NTT(vector<ll> &A, int n, int op)
{
// op:是否逆
// 利用二进制的一半是其二进制右移一位的性质
// 反转后其二进制是其一半反转后右移一位。 最左边的位数为其最右边的位数反转
for (int i = 0; i < n; i++)
R[i] = R[i / 2] / 2 + ((i & 1) ? n / 2 : 0);
// 只有比其小再交换,防止交换两次回到原来的位置
for (int i = 0; i < n; i++)
if (i < R[i])
swap(A[i], A[R[i]]);
// 合并区间长度的一半
for (int i = 2; i <= n; i <<= 1)
{
ll g1 = qpow(op == 1 ? g : gi, (p - 1) / i);
// 合并区间在整个区间的哪个位置
for (int j = 0; j < n; j += i)
{
ll gk = 1;
// 在合并区间的位置
for (int k = j; k < j + i / 2; k++, gk = gk * g1 % p)
{
ll x = A[k], y = gk * A[k + i / 2] % p;
A[k] = (x + y) % p;
A[k + i / 2] = (p + x - y) % p;
}
}
}
}
template <typename T>
struct ST
{
T MAX = 1e9;
vector<vector<T>> maxn;
vector<T> a;
const int m = 20;
vector<T> LOG;
ST() {}
ST(int n, vector<T> b)
{
a.resize(n + 1, 0);
a = b;
init(n);
}
void init(int n)
{
if (std::is_same<T, ll>::value)
MAX = 1e18;
maxn.resize(n + 1, vector<T>(m + 1, -MAX));
LOG.resize(n + 1, 0);
for (int i = 1; i <= n; i++)
maxn[i][0] = a[i];
LOG[1] = 0;
for (int i = 2; i <= n; i++)
LOG[i] = LOG[i / 2] + 1;
for (int j = 1; (1 << j) <= n; j++)
for (int i = 1; i + (1 << (j - 1)) <= n; i++)
maxn[i][j] = max(maxn[i][j - 1], maxn[i + (1 << (j - 1))][j - 1]);
}
T query_max(int l, int r)
{
int d = LOG[r - l + 1];
return max(maxn[l][d], maxn[r - (1 << d) + 1][d]);
}
};
void solve()
{
int n;
cin >> n;
vector<int> a(n + 1);
vector<int> s;
for (int i = 1; i <= n; ++i)
{
cin >> a[i];
s.push_back(a[i]);
}
sort(s.begin(), s.end());
int cnt = s.erase(unique(s.begin(), s.end()), s.end()) - s.begin();
map<int, int> rk;
for (int i = 0; i < cnt; ++i)
rk[s[i]] = i + 1;
for (int i = 1; i <= n; ++i)
a[i] = rk[a[i]];
vector<ll> ans(n + 1);
ST<int> st(n, a);
vector<vector<array<int, 3>>> seg(n + 1);
for (int i = 1; i <= n; ++i)
{
int lf = i, rf = i;
int l = 1, r = i - 1, pos = -1;
while (l <= r)
{
int mid = l + r >> 1;
if (st.query_max(mid, i - 1) < a[i])
r = mid - 1, pos = mid;
else
l = mid + 1;
}
if (pos != -1)
lf = pos;
l = i + 1, r = n, pos = -1;
while (l <= r)
{
int mid = l + r >> 1;
if (st.query_max(i + 1, mid) < a[i])
l = mid + 1, pos = mid;
else
r = mid - 1;
}
if (pos != -1)
rf = pos;
seg[a[i]].push_back({lf, rf, i});
}
for (int i = 1; i <= n; ++i)
{
if (seg[i].empty())
continue;
vector<ll> g;
int lstr = -1, rf = 0;
for (auto [l, r, pos] : seg[i])
{
if (lstr == -1)
lstr = pos, rf = r, g.push_back(pos - l + 1);
else
{
if (pos == rf + 1)
{
g.push_back(pos - lstr);
lstr = pos, rf = r;
}
else
{
g.push_back(rf - lstr + 1);
// FFT
int m = g.size();
int k = 1;
while (k < m * 2)
k <<= 1;
vector<ll> lenf(k + 1), leng(k + 1);
for (int i = 0; i < m; ++i)
lenf[i] = g[i], leng[m - i - 1] = g[i];
NTT(lenf, k, 1);
NTT(leng, k, 1);
for (int i = 0; i <= k; ++i)
lenf[i] = lenf[i] * leng[i] % p;
NTT(lenf, k, -1);
int inv = qpow(k, p - 2);
for (int i = 0; i <= k; ++i)
lenf[i] = lenf[i] * inv % p;
for (int i = 1; i < m; ++i)
ans[i] = (ans[i] + lenf[m - i - 1]) % p;
lstr = pos, rf = r;
g.clear();
g.push_back(pos - l + 1);
}
}
}
g.push_back(rf - lstr + 1);
int m = g.size();
int k = 1;
while (k < m * 2)
k <<= 1;
vector<ll> lenf(k + 1), leng(k + 1);
for (int i = 0; i < m; ++i)
lenf[i] = g[i], leng[m - i - 1] = g[i];
NTT(lenf, k, 1);
NTT(leng, k, 1);
for (int i = 0; i <= k; ++i)
lenf[i] = lenf[i] * leng[i] % p;
NTT(lenf, k, -1);
int inv = qpow(k, p - 2);
for (int i = 0; i <= k; ++i)
lenf[i] = lenf[i] * inv % p;
for (int i = 1; i < m; ++i)
ans[i] = (ans[i] + lenf[m - i - 1]) % p;
g.clear();
}
// for (int i = 1; i <= n; ++i)
// cerr << i << " " << ans[i] << '\n';
ll res = 0;
for (int i = 1; i <= n; ++i)
res = (res + 1ll * i * ans[i] % p * ans[i] % p) % p;
cout << res << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0), cout.tie(0);
int t = 1;
cin >> t;
while (t--)
{
solve();
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 1ms
memory: 6704kb
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: 312ms
memory: 28112kb
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: 456ms
memory: 80620kb
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: 492ms
memory: 78992kb
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: 0
Accepted
time: 576ms
memory: 81476kb
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:
728396411
result:
ok single line: '728396411'
Test #6:
score: 0
Accepted
time: 225ms
memory: 79056kb
input:
1 400000 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 79866982 798...
output:
805404149
result:
ok single line: '805404149'
Test #7:
score: 0
Accepted
time: 224ms
memory: 78012kb
input:
1 400000 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 4163012 416...
output:
871688808
result:
ok single line: '871688808'
Test #8:
score: 0
Accepted
time: 259ms
memory: 80572kb
input:
1 400000 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 7913 19512 844861162 178869991 19512 19512 19512 19512 19512 19512 19512 135989768 19512 19512 19512 19512 19512 19512 19512 19512 220217 220217 220217 220217 220217 220217 220217 220217 2202...
output:
470566238
result:
ok single line: '470566238'
Test #9:
score: 0
Accepted
time: 327ms
memory: 90300kb
input:
1 400000 1 1 1 1 1 1 1 1 1 1 1 2 2 1 1 2 2 1 2 1 2 1 1 2 1 2 2 1 2 1 2 2 1 1 1 1 2 1 1 1 2 1 1 2 2 1 1 1 1 2 2 1 1 1 2 1 2 1 2 2 1 2 2 2 1 1 2 2 1 2 2 1 1 1 1 2 2 1 1 1 1 2 1 2 2 1 2 1 1 2 2 1 1 2 2 2 1 2 2 2 2 1 2 1 2 1 1 2 2 2 1 1 1 2 1 1 1 1 2 2 2 1 1 2 2 1 2 2 1 1 1 2 1 2 2 2 1 1 2 1 2 1 1 2 2 2...
output:
188247686
result:
ok single line: '188247686'
Test #10:
score: 0
Accepted
time: 316ms
memory: 89564kb
input:
1 400000 1 1 1 1 1 2 2 1 1 1 2 2 1 2 2 1 2 1 1 2 1 1 2 1 2 2 1 2 2 1 2 2 2 1 2 1 2 2 2 1 1 1 2 2 1 2 2 1 1 1 2 1 2 1 2 2 1 2 1 2 1 1 1 2 2 1 1 2 2 2 1 1 2 2 2 2 2 2 2 1 2 2 1 2 1 1 2 1 2 1 2 1 1 1 1 2 1 1 2 2 1 1 1 2 2 1 2 1 1 1 2 1 1 2 1 1 1 1 1 2 1 1 1 2 2 1 2 2 1 1 1 2 1 1 1 1 2 1 1 1 2 1 2 1 2 2...
output:
534522621
result:
ok single line: '534522621'
Test #11:
score: 0
Accepted
time: 321ms
memory: 89504kb
input:
1 400000 2 2 1 1 1 2 1 1 2 2 1 1 1 1 1 1 1 1 2 1 2 2 1 2 2 2 2 1 1 2 1 2 1 1 2 2 2 2 1 2 1 2 1 1 1 2 2 1 2 1 1 1 2 1 1 2 2 1 1 2 2 2 2 2 2 2 1 2 2 2 1 1 1 2 2 1 2 2 2 2 2 1 1 1 1 2 1 2 1 1 1 1 2 1 1 1 2 1 1 2 2 2 1 2 2 1 2 1 2 2 1 2 2 1 1 2 1 2 1 1 2 1 1 2 1 2 1 2 2 2 1 2 2 1 1 2 1 2 2 2 1 2 1 1 2 1...
output:
315282614
result:
ok single line: '315282614'
Test #12:
score: -100
Runtime Error
input:
1 400000 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7...