QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#407741 | #8171. Cola | wsyear | AC ✓ | 204ms | 238032kb | C++17 | 2.8kb | 2024-05-09 10:33:36 | 2024-05-09 10:33:37 |
Judging History
answer
#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 = 998244353;
using Z = mod_int<P>;
const int maxn = 20000010;
Z fac[maxn], ivf[maxn], w[maxn];
int n, m;
Z binom(int x, int y) {
return fac[x] * ivf[y] * ivf[x - y];
}
int main() {
fac[0] = 1;
rep (i, 1, maxn - 1) fac[i] = fac[i - 1] * i;
ivf[maxn - 1] = fac[maxn - 1].inv();
per (i, maxn - 1, 1) ivf[i - 1] = ivf[i] * i;
cin.tie(nullptr) -> ios::sync_with_stdio(false);
cin >> n >> m;
for (int k = 0; ; k++) {
if (1ll * k * (3 * k + 1) / 2 >= maxn) break;
w[k * (3 * k - 1) / 2] += ((k & 1) ? P - 1 : 1);
if (k) w[k * (3 * k + 1) / 2] += ((k & 1) ? P - 1 : 1);
}
Z ans = 0;
rep (i, 0, m - 1) ans += binom(n + i, n) * w[m - 1 - i];
cout << (ans * ivf[n]).val() << '\n';
}
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 100
Accepted
time: 178ms
memory: 237968kb
input:
2 1
output:
499122177
result:
ok "499122177"
Test #2:
score: 0
Accepted
time: 160ms
memory: 237932kb
input:
1 1
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 165ms
memory: 237952kb
input:
167 91
output:
469117530
result:
ok "469117530"
Test #4:
score: 0
Accepted
time: 194ms
memory: 238000kb
input:
9806463 8975779
output:
125384417
result:
ok "125384417"
Test #5:
score: 0
Accepted
time: 200ms
memory: 237996kb
input:
9138576 8731432
output:
306972756
result:
ok "306972756"
Test #6:
score: 0
Accepted
time: 189ms
memory: 237932kb
input:
9978791 9033584
output:
932159263
result:
ok "932159263"
Test #7:
score: 0
Accepted
time: 197ms
memory: 238032kb
input:
9811954 9790000
output:
404679920
result:
ok "404679920"
Test #8:
score: 0
Accepted
time: 191ms
memory: 237932kb
input:
9685105 9276909
output:
32996715
result:
ok "32996715"
Test #9:
score: 0
Accepted
time: 188ms
memory: 237884kb
input:
10000000 10000000
output:
309225852
result:
ok "309225852"
Test #10:
score: 0
Accepted
time: 204ms
memory: 237980kb
input:
10000000 9999999
output:
635234302
result:
ok "635234302"
Test #11:
score: 0
Accepted
time: 188ms
memory: 237992kb
input:
10000000 9999998
output:
239117935
result:
ok "239117935"
Test #12:
score: 0
Accepted
time: 191ms
memory: 237948kb
input:
10000000 9999997
output:
294859983
result:
ok "294859983"
Test #13:
score: 0
Accepted
time: 191ms
memory: 238020kb
input:
9999999 9999999
output:
305530110
result:
ok "305530110"
Test #14:
score: 0
Accepted
time: 182ms
memory: 237976kb
input:
9999999 9999998
output:
164959553
result:
ok "164959553"
Test #15:
score: 0
Accepted
time: 193ms
memory: 237996kb
input:
9999999 9999997
output:
532215262
result:
ok "532215262"
Test #16:
score: 0
Accepted
time: 199ms
memory: 237952kb
input:
9999999 9999996
output:
123628609
result:
ok "123628609"
Test #17:
score: 0
Accepted
time: 192ms
memory: 237928kb
input:
9999998 9999998
output:
223852357
result:
ok "223852357"
Test #18:
score: 0
Accepted
time: 194ms
memory: 237980kb
input:
9999998 9999997
output:
75877991
result:
ok "75877991"
Test #19:
score: 0
Accepted
time: 196ms
memory: 237996kb
input:
9999998 9999996
output:
494540335
result:
ok "494540335"
Test #20:
score: 0
Accepted
time: 188ms
memory: 237896kb
input:
9999998 9999995
output:
19191738
result:
ok "19191738"
Test #21:
score: 0
Accepted
time: 204ms
memory: 238032kb
input:
9999997 9999997
output:
238385746
result:
ok "238385746"
Test #22:
score: 0
Accepted
time: 203ms
memory: 237964kb
input:
9999997 9999996
output:
138191521
result:
ok "138191521"
Test #23:
score: 0
Accepted
time: 197ms
memory: 237884kb
input:
9999997 9999995
output:
721536184
result:
ok "721536184"
Test #24:
score: 0
Accepted
time: 196ms
memory: 237884kb
input:
9999997 9999994
output:
627112720
result:
ok "627112720"
Test #25:
score: 0
Accepted
time: 157ms
memory: 237996kb
input:
8113616 1826492
output:
629546539
result:
ok "629546539"
Test #26:
score: 0
Accepted
time: 171ms
memory: 237988kb
input:
7230333 4233627
output:
870135249
result:
ok "870135249"
Test #27:
score: 0
Accepted
time: 189ms
memory: 237968kb
input:
9734872 9617286
output:
780426509
result:
ok "780426509"
Test #28:
score: 0
Accepted
time: 184ms
memory: 237968kb
input:
6780022 6393958
output:
508662111
result:
ok "508662111"
Test #29:
score: 0
Accepted
time: 168ms
memory: 237968kb
input:
4986441 1909344
output:
762587564
result:
ok "762587564"
Test #30:
score: 0
Accepted
time: 163ms
memory: 237948kb
input:
9936540 91728
output:
651924678
result:
ok "651924678"
Test #31:
score: 0
Accepted
time: 171ms
memory: 237928kb
input:
9099529 94239
output:
775532638
result:
ok "775532638"
Test #32:
score: 0
Accepted
time: 163ms
memory: 238032kb
input:
9564814 93545
output:
474538902
result:
ok "474538902"
Test #33:
score: 0
Accepted
time: 163ms
memory: 238020kb
input:
9707744 92094
output:
354024226
result:
ok "354024226"
Test #34:
score: 0
Accepted
time: 167ms
memory: 237932kb
input:
9167687 94820
output:
858989558
result:
ok "858989558"
Test #35:
score: 0
Accepted
time: 171ms
memory: 237932kb
input:
10000000 100000
output:
609345536
result:
ok "609345536"
Test #36:
score: 0
Accepted
time: 167ms
memory: 237984kb
input:
10000000 99999
output:
217258255
result:
ok "217258255"
Test #37:
score: 0
Accepted
time: 158ms
memory: 237948kb
input:
10000000 99998
output:
485057696
result:
ok "485057696"
Test #38:
score: 0
Accepted
time: 167ms
memory: 237896kb
input:
10000000 99997
output:
193579142
result:
ok "193579142"
Test #39:
score: 0
Accepted
time: 159ms
memory: 237988kb
input:
9999999 100000
output:
584105896
result:
ok "584105896"
Test #40:
score: 0
Accepted
time: 163ms
memory: 237944kb
input:
9999999 99999
output:
707014865
result:
ok "707014865"
Test #41:
score: 0
Accepted
time: 171ms
memory: 237884kb
input:
9999999 99998
output:
872987417
result:
ok "872987417"
Test #42:
score: 0
Accepted
time: 162ms
memory: 237980kb
input:
9999999 99997
output:
707304988
result:
ok "707304988"
Test #43:
score: 0
Accepted
time: 167ms
memory: 237984kb
input:
9999998 100000
output:
789028925
result:
ok "789028925"
Test #44:
score: 0
Accepted
time: 169ms
memory: 238032kb
input:
9999998 99999
output:
628266237
result:
ok "628266237"
Test #45:
score: 0
Accepted
time: 169ms
memory: 238024kb
input:
9999998 99998
output:
38358057
result:
ok "38358057"
Test #46:
score: 0
Accepted
time: 164ms
memory: 237872kb
input:
9999998 99997
output:
785931240
result:
ok "785931240"
Test #47:
score: 0
Accepted
time: 180ms
memory: 237992kb
input:
9999997 100000
output:
945452715
result:
ok "945452715"
Test #48:
score: 0
Accepted
time: 159ms
memory: 237960kb
input:
9999997 99999
output:
537126025
result:
ok "537126025"
Test #49:
score: 0
Accepted
time: 182ms
memory: 237960kb
input:
9999997 99998
output:
837196653
result:
ok "837196653"
Test #50:
score: 0
Accepted
time: 174ms
memory: 237972kb
input:
9999997 99997
output:
263045713
result:
ok "263045713"
Test #51:
score: 0
Accepted
time: 167ms
memory: 237968kb
input:
2 2
output:
1
result:
ok "1"
Test #52:
score: 0
Accepted
time: 163ms
memory: 238004kb
input:
3 3
output:
831870295
result:
ok "831870295"
Test #53:
score: 0
Accepted
time: 179ms
memory: 237948kb
input:
4 4
output:
374341633
result:
ok "374341633"
Test #54:
score: 0
Accepted
time: 171ms
memory: 237932kb
input:
3 2
output:
499122177
result:
ok "499122177"
Test #55:
score: 0
Accepted
time: 173ms
memory: 237964kb
input:
4 3
output:
623902721
result:
ok "623902721"
Test #56:
score: 0
Accepted
time: 175ms
memory: 237896kb
input:
5 4
output:
890101215
result:
ok "890101215"
Test #57:
score: 0
Accepted
time: 171ms
memory: 237976kb
input:
3 1
output:
166374059
result:
ok "166374059"
Test #58:
score: 0
Accepted
time: 192ms
memory: 237992kb
input:
4 2
output:
166374059
result:
ok "166374059"
Test #59:
score: 0
Accepted
time: 161ms
memory: 237892kb
input:
5 3
output:
16637406
result:
ok "16637406"
Test #60:
score: 0
Accepted
time: 161ms
memory: 238028kb
input:
6 4
output:
508827330
result:
ok "508827330"
Test #61:
score: 0
Accepted
time: 164ms
memory: 238024kb
input:
4 1
output:
291154603
result:
ok "291154603"
Test #62:
score: 0
Accepted
time: 168ms
memory: 237884kb
input:
5 2
output:
291154603
result:
ok "291154603"
Test #63:
score: 0
Accepted
time: 155ms
memory: 237992kb
input:
6 3
output:
859599304
result:
ok "859599304"
Test #64:
score: 0
Accepted
time: 161ms
memory: 237932kb
input:
7 4
output:
694809760
result:
ok "694809760"
Test #65:
score: 0
Accepted
time: 171ms
memory: 237944kb
input:
5629201 38642
output:
327294391
result:
ok "327294391"
Test #66:
score: 0
Accepted
time: 161ms
memory: 237964kb
input:
126092 74219
output:
27573951
result:
ok "27573951"
Test #67:
score: 0
Accepted
time: 155ms
memory: 237888kb
input:
8593075 8689
output:
393785113
result:
ok "393785113"
Test #68:
score: 0
Accepted
time: 161ms
memory: 238028kb
input:
1076972 58637
output:
600806929
result:
ok "600806929"
Test #69:
score: 0
Accepted
time: 167ms
memory: 237896kb
input:
463217 39187
output:
408712022
result:
ok "408712022"
Extra Test:
score: 0
Extra Test Passed