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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#132359 | #6323. Range NEQ | UrgantTeam# | AC ✓ | 155ms | 43532kb | C++23 | 4.2kb | 2023-07-29 17:37:18 | 2023-07-29 17:37:22 |
Judging History
answer
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
#include <vector>
#include <cstdint>
#include <algorithm>
using namespace std;
using ll = int64_t;
using vi = vector<int>;
using vvi = vector<vi>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;
const int M = 998244353;
const int N = 2000000;
int sum(int a, int b) {
if ((a += b) >= M) a -= M;
return a;
}
int dif(int a, int b) {
if ((a -= b) < 0) a += M;
return a;
}
int prod(int a, int b) {
return ll(a) * b % M;
}
int powmod(int a, int b) {
int ans = 1;
while (b) {
if (b & 1) ans = prod(ans, a);
b >>= 1;
a = prod(a, a);
}
return ans;
}
int inv(int a, int m) {
return a == 1 ? 1 : (1 - inv(m % a, a) * ll(m)) / a + m;
}
int factorial(int n, bool inverse) {
static vi fact, ifact;
if (fact.empty()) {
fact.resize(N, 1);
ifact.resize(N, 1);
for (int i = 2; i < N; ++i)
fact[i] = prod(i, fact[i - 1]);
ifact.back() = inv(fact.back(), M);
for (int i = N - 1; i >= 3; --i)
ifact[i - 1] = prod(ifact[i], i);
}
return inverse ? ifact[n] : fact[n];
}
namespace FFT {
struct NTT {
const int G = 3;
const int ROOT, size, n;
vi root, revers, fftA, fftB;
NTT(const int n = 20) : n(n), size(1 << n), ROOT(powmod(G, (M - 1) >> n)), revers(size), root(size, 1), fftA(size), fftB(size) {
for (int i = 1; i < size; ++i) root[i] = prod(root[i - 1], ROOT);
}
void fft(vi& p, int newN) {
revers[0] = 0;
for (int i = 1; i < 1 << newN; ++i) {
if (i % 2 == 0) revers[i] = revers[i / 2] / 2;
else revers[i] = revers[i / 2] / 2 + (1 << (newN - 1));
if (revers[i] < i) swap(p[revers[i]], p[i]);
}
for (int l = 1; l <= newN; ++l)
for (int b = 0; b < (1 << newN - l); ++b)
for (int step = 0; step < (1 << l - 1); ++step) {
int n1 = (b << l) + step;
int n2 = n1 + (1 << l - 1);
int vA = p[n1];
int vB = prod(root[step << n - l], p[n2]);
p[n1] = sum(vA, vB);
p[n2] = dif(vA, vB);
}
}
void rev_fft(vi& p, int step) {
fft(p, step);
reverse(p.begin() + 1, p.begin() + (1 << step));
int inv_size = inv(1 << step, M);
for (int i = 0; i < 1 << step; ++i) p[i] = prod(p[i], inv_size);
}
template<class Iter>
vi multiply(Iter Ab, Iter Ae, Iter Bb, Iter Be, int step) {
if (Ab == Ae || Bb == Be) return {};
fill(fftA.begin(), fftA.begin() + (1 << step), 0);
fill(fftB.begin(), fftB.begin() + (1 << step), 0);
for (auto it = Ab; it != Ae; ++it) fftA[it - Ab] = *it % M;
for (auto it = Bb; it != Be; ++it) fftB[it - Ab] = *it % M;
fft(fftA, step);
fft(fftB, step);
for (int i = 0; i < (1 << step); ++i) fftA[i] = prod(fftA[i], fftB[i]);
rev_fft(fftA, step);
vi result(1 << step);
copy(fftA.begin(), fftA.begin() + (1 << step), result.begin());
return result;
}
template<class Iter>
vi power(Iter Ab, Iter Ae, int b, int step) {
if (Ab == Ae) return {};
fill(fftA.begin(), fftA.begin() + (1 << step), 0);
for (auto it = Ab; it != Ae; ++it) fftA[it - Ab] = *it % M;
fft(fftA, step);
for (int i = 0; i < (1 << step); ++i) fftA[i] = powmod(fftA[i], b);
rev_fft(fftA, step);
vi result(1 << step);
copy(fftA.begin(), fftA.begin() + (1 << step), result.begin());
return result;
}
vi OGF(vi egf) const {
int fact = 1, n = egf.size();
for (int i = 2; i < n; ++i) {
fact = prod(fact, i);
egf[i] = prod(egf[i], fact);
}
return egf;
}
};
}
int find_ans(const int n, const int m) {
vi poly(m + 1);
for (int k = 0; k <= m; ++k) {
poly[k] = prod(factorial(m, false), prod(factorial(m, false), prod(factorial(k, true), prod(factorial(k, true), factorial(m - k, true)))));
if ((k + m) % 2)
poly[k] = dif(0, poly[k]);
}
FFT::NTT fft;
vi power_poly = fft.power(poly.begin(), poly.end(), n, 20);
power_poly = fft.OGF(power_poly);
int ans = 0;
for (int i = 0; i <= n * m; ++i)
ans = sum(ans, power_poly[i]);
return ans;
}
bool solve_test() {
int n, m;
if (!(cin >> n >> m)) return false;
cout << find_ans(n, m) << '\n';
return true;
}
int main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
while (solve_test());
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 121ms
memory: 43532kb
input:
2 2
output:
4
result:
ok 1 number(s): "4"
Test #2:
score: 0
Accepted
time: 113ms
memory: 43464kb
input:
5 1
output:
44
result:
ok 1 number(s): "44"
Test #3:
score: 0
Accepted
time: 138ms
memory: 43520kb
input:
167 91
output:
284830080
result:
ok 1 number(s): "284830080"
Test #4:
score: 0
Accepted
time: 111ms
memory: 43292kb
input:
2 1
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 112ms
memory: 43256kb
input:
2 3
output:
36
result:
ok 1 number(s): "36"
Test #6:
score: 0
Accepted
time: 113ms
memory: 43484kb
input:
2 4
output:
576
result:
ok 1 number(s): "576"
Test #7:
score: 0
Accepted
time: 121ms
memory: 43276kb
input:
3 1
output:
2
result:
ok 1 number(s): "2"
Test #8:
score: 0
Accepted
time: 115ms
memory: 43488kb
input:
3 2
output:
80
result:
ok 1 number(s): "80"
Test #9:
score: 0
Accepted
time: 106ms
memory: 43492kb
input:
3 3
output:
12096
result:
ok 1 number(s): "12096"
Test #10:
score: 0
Accepted
time: 113ms
memory: 43436kb
input:
3 4
output:
4783104
result:
ok 1 number(s): "4783104"
Test #11:
score: 0
Accepted
time: 122ms
memory: 43488kb
input:
4 1
output:
9
result:
ok 1 number(s): "9"
Test #12:
score: 0
Accepted
time: 112ms
memory: 43452kb
input:
4 2
output:
4752
result:
ok 1 number(s): "4752"
Test #13:
score: 0
Accepted
time: 122ms
memory: 43476kb
input:
4 3
output:
17927568
result:
ok 1 number(s): "17927568"
Test #14:
score: 0
Accepted
time: 112ms
memory: 43264kb
input:
4 4
output:
776703752
result:
ok 1 number(s): "776703752"
Test #15:
score: 0
Accepted
time: 110ms
memory: 43472kb
input:
5 2
output:
440192
result:
ok 1 number(s): "440192"
Test #16:
score: 0
Accepted
time: 112ms
memory: 43332kb
input:
5 3
output:
189125068
result:
ok 1 number(s): "189125068"
Test #17:
score: 0
Accepted
time: 109ms
memory: 43444kb
input:
5 4
output:
975434093
result:
ok 1 number(s): "975434093"
Test #18:
score: 0
Accepted
time: 151ms
memory: 43472kb
input:
1000 1000
output:
720037464
result:
ok 1 number(s): "720037464"
Test #19:
score: 0
Accepted
time: 120ms
memory: 43444kb
input:
72 42
output:
638177567
result:
ok 1 number(s): "638177567"
Test #20:
score: 0
Accepted
time: 125ms
memory: 43460kb
input:
15 19
output:
663050288
result:
ok 1 number(s): "663050288"
Test #21:
score: 0
Accepted
time: 119ms
memory: 43488kb
input:
68 89
output:
94365047
result:
ok 1 number(s): "94365047"
Test #22:
score: 0
Accepted
time: 130ms
memory: 43480kb
input:
92 37
output:
652605307
result:
ok 1 number(s): "652605307"
Test #23:
score: 0
Accepted
time: 134ms
memory: 43524kb
input:
61 87
output:
498277867
result:
ok 1 number(s): "498277867"
Test #24:
score: 0
Accepted
time: 124ms
memory: 43264kb
input:
81 40
output:
133095344
result:
ok 1 number(s): "133095344"
Test #25:
score: 0
Accepted
time: 121ms
memory: 43428kb
input:
7 91
output:
524164813
result:
ok 1 number(s): "524164813"
Test #26:
score: 0
Accepted
time: 129ms
memory: 43284kb
input:
31 18
output:
361233485
result:
ok 1 number(s): "361233485"
Test #27:
score: 0
Accepted
time: 131ms
memory: 43440kb
input:
74 54
output:
500686087
result:
ok 1 number(s): "500686087"
Test #28:
score: 0
Accepted
time: 116ms
memory: 43248kb
input:
32 2
output:
586504335
result:
ok 1 number(s): "586504335"
Test #29:
score: 0
Accepted
time: 140ms
memory: 43444kb
input:
656 718
output:
346764298
result:
ok 1 number(s): "346764298"
Test #30:
score: 0
Accepted
time: 132ms
memory: 43432kb
input:
254 689
output:
358078813
result:
ok 1 number(s): "358078813"
Test #31:
score: 0
Accepted
time: 134ms
memory: 43452kb
input:
713 674
output:
914437613
result:
ok 1 number(s): "914437613"
Test #32:
score: 0
Accepted
time: 134ms
memory: 43456kb
input:
136 698
output:
56687290
result:
ok 1 number(s): "56687290"
Test #33:
score: 0
Accepted
time: 151ms
memory: 43456kb
input:
369 401
output:
312325811
result:
ok 1 number(s): "312325811"
Test #34:
score: 0
Accepted
time: 143ms
memory: 43436kb
input:
280 204
output:
280012063
result:
ok 1 number(s): "280012063"
Test #35:
score: 0
Accepted
time: 140ms
memory: 43520kb
input:
904 225
output:
162909174
result:
ok 1 number(s): "162909174"
Test #36:
score: 0
Accepted
time: 155ms
memory: 43532kb
input:
855 928
output:
39885159
result:
ok 1 number(s): "39885159"
Test #37:
score: 0
Accepted
time: 139ms
memory: 43524kb
input:
503 365
output:
745115888
result:
ok 1 number(s): "745115888"
Test #38:
score: 0
Accepted
time: 137ms
memory: 43444kb
input:
646 996
output:
610925577
result:
ok 1 number(s): "610925577"
Test #39:
score: 0
Accepted
time: 150ms
memory: 43480kb
input:
990 918
output:
203469632
result:
ok 1 number(s): "203469632"
Test #40:
score: 0
Accepted
time: 153ms
memory: 43280kb
input:
961 949
output:
169566857
result:
ok 1 number(s): "169566857"
Test #41:
score: 0
Accepted
time: 147ms
memory: 43452kb
input:
946 932
output:
352423195
result:
ok 1 number(s): "352423195"
Test #42:
score: 0
Accepted
time: 141ms
memory: 43456kb
input:
903 981
output:
196309824
result:
ok 1 number(s): "196309824"
Test #43:
score: 0
Accepted
time: 140ms
memory: 43484kb
input:
916 988
output:
487208972
result:
ok 1 number(s): "487208972"
Test #44:
score: 0
Accepted
time: 138ms
memory: 43252kb
input:
982 982
output:
387421488
result:
ok 1 number(s): "387421488"
Test #45:
score: 0
Accepted
time: 153ms
memory: 43472kb
input:
955 911
output:
955637031
result:
ok 1 number(s): "955637031"
Test #46:
score: 0
Accepted
time: 134ms
memory: 43272kb
input:
906 999
output:
798469943
result:
ok 1 number(s): "798469943"
Test #47:
score: 0
Accepted
time: 135ms
memory: 43480kb
input:
982 975
output:
193506289
result:
ok 1 number(s): "193506289"
Test #48:
score: 0
Accepted
time: 140ms
memory: 43456kb
input:
921 991
output:
431202149
result:
ok 1 number(s): "431202149"