QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#518168 | #4807. Melborp Lacissalc | cpchenpi# | AC ✓ | 1025ms | 37676kb | C++20 | 4.8kb | 2024-08-13 16:59:59 | 2024-08-13 17:00:02 |
Judging History
answer
// https://www.youtube.com/watch?v=wthasN45KuY
// You said I’d fly away
// But my walls have kept me down
// Now I’m lost and I’m afraid
// And I’m close to hit the ground
//
// You said I’d fly away
// You said I’d fly anywhere
// But I keep on Falling
#ifndef ONLINE_JUDGE
#include "templates/debug.hpp"
#else
#define debug(...)
#endif
#include <bits/stdc++.h>
using namespace std;
using i64 = int64_t;
using u64 = uint64_t;
namespace modint {
using i64 = int64_t;
template <int P>
struct Mint {
private:
constexpr Mint power(Mint x, i64 p) const {
Mint res = 1;
while (p > 0) {
if (p & 1) {
res *= x;
}
x *= x;
p >>= 1;
}
return res;
}
constexpr int norm(int x) const {
if (x < 0) {
x += getMod();
}
if (x >= getMod()) {
x -= getMod();
}
return x;
}
public:
int x;
constexpr Mint() : x{} {}
constexpr Mint(i64 x) : x{norm(x % getMod())} {}
static int mod;
constexpr static int getMod() {
if (P > 0) {
return P;
} else {
return mod;
}
}
constexpr static void setMod(int Mod_) { mod = Mod_; }
constexpr int val() const { return x; }
explicit constexpr operator int() const { return x; }
constexpr Mint operator-() const {
Mint res;
res.x = norm(getMod() - x);
return res;
}
constexpr Mint inv() const {
assert(x != 0);
return power(*this, getMod() - 2);
}
constexpr Mint pow(i64 r) const { return power(*this, r); }
constexpr Mint &operator*=(Mint rhs) & {
x = 1LL * x * rhs.x % getMod();
return *this;
}
constexpr Mint &operator+=(Mint rhs) & {
x = norm(x + rhs.x);
return *this;
}
constexpr Mint &operator-=(Mint rhs) & {
x = norm(x - rhs.x);
return *this;
}
constexpr Mint &operator/=(Mint rhs) & { return *this *= rhs.inv(); }
friend constexpr Mint operator*(Mint lhs, Mint rhs) {
Mint res = lhs;
res *= rhs;
return res;
}
friend constexpr Mint operator+(Mint lhs, Mint rhs) {
Mint res = lhs;
res += rhs;
return res;
}
friend constexpr Mint operator-(Mint lhs, Mint rhs) {
Mint res = lhs;
res -= rhs;
return res;
}
friend constexpr Mint operator/(Mint lhs, Mint rhs) {
Mint res = lhs;
res /= rhs;
return res;
}
friend constexpr std::istream &operator>>(std::istream &is, Mint &a) {
i64 v;
is >> v;
a = Mint(v);
return is;
}
friend constexpr std::ostream &operator<<(std::ostream &os, const Mint &a) {
return os << a.val();
}
friend constexpr bool operator==(Mint lhs, Mint rhs) {
return lhs.val() == rhs.val();
}
friend constexpr bool operator!=(Mint lhs, Mint rhs) {
return lhs.val() != rhs.val();
}
};
template <int P>
int Mint<P>::mod{0};
template <typename Z>
struct Comb {
std::vector<Z> fact, inv_fact;
Comb(int n) {
fact.resize(n + 1, Z(1));
inv_fact.resize(n + 1, Z(1));
for (int i = 1; i <= n; i++) {
fact[i] = fact[i - 1] * i;
}
inv_fact[n] = Z{1} / fact[n];
for (int i = n - 1; i >= 0; i--) {
inv_fact[i] = inv_fact[i + 1] * (i + 1);
}
}
Z get(int n, int m) const {
if (n < m || m < 0) return 0;
return fact[n] * inv_fact[m] * inv_fact[n - m];
}
};
} // namespace modint
// check the modulus!!!
constexpr int MOD = 998244353;
using Z = modint::Mint<MOD>;
using C = modint::Comb<Z>;
C comb(64 + 114);
#define int i64
constexpr int INF = 1e9 + 7;
void solve() {
int n, k, t; cin >> n >> k >> t;
vector dp(k, vector(n + 1, vector<Z>(t + 1, 0)));
for (int i = 0; i <= n; i++) {
if (i * (i + 1) / 2 <= t) dp[0][i][i * (i + 1) / 2] = comb.get(n, i);
}
for (int i = 1; i < k; i++) {
for (int c = 0; c <= n; c++) {
for (int d = 0; c + d <= n; d++) {
for (int p = 0; p <= t; p++) {
int np = p + d * (d - 1) / 2;
if (np <= t) {
dp[i][c + d][np] += dp[i - 1][c][p] * comb.get(n - c, d);
}
}
}
}
}
cout << dp[k - 1][n][t] << "\n";
}
#undef int
// Make bold hypotheses and verify carefully
int main() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3644kb
input:
2 5 1
output:
12
result:
ok 1 number(s): "12"
Test #2:
score: 0
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time: 0ms
memory: 3884kb
input:
7 10 15
output:
2016
result:
ok 1 number(s): "2016"
Test #3:
score: 0
Accepted
time: 24ms
memory: 5016kb
input:
46 50 171
output:
645560469
result:
ok 1 number(s): "645560469"
Test #4:
score: 0
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time: 0ms
memory: 3888kb
input:
64 64 0
output:
0
result:
ok 1 number(s): "0"
Test #5:
score: 0
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time: 1ms
memory: 3864kb
input:
64 64 1
output:
326126263
result:
ok 1 number(s): "326126263"
Test #6:
score: 0
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time: 1ms
memory: 3888kb
input:
63 64 0
output:
4476118
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ok 1 number(s): "4476118"
Test #7:
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time: 1ms
memory: 3700kb
input:
11 45 14
output:
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ok 1 number(s): "963276342"
Test #8:
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time: 27ms
memory: 5016kb
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35 20 565
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memory: 3628kb
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Test #10:
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time: 13ms
memory: 4132kb
input:
35 45 153
output:
181934997
result:
ok 1 number(s): "181934997"
Test #11:
score: 0
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time: 0ms
memory: 3648kb
input:
3 25 5
output:
0
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ok 1 number(s): "0"
Test #12:
score: 0
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time: 4ms
memory: 3904kb
input:
35 5 373
output:
740122840
result:
ok 1 number(s): "740122840"
Test #13:
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time: 0ms
memory: 3664kb
input:
3 50 5
output:
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ok 1 number(s): "0"
Test #14:
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time: 39ms
memory: 6024kb
input:
35 30 592
output:
0
result:
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Test #15:
score: 0
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time: 0ms
memory: 3584kb
input:
3 11 1
output:
540
result:
ok 1 number(s): "540"
Test #16:
score: 0
Accepted
time: 43ms
memory: 5920kb
input:
35 55 352
output:
656633208
result:
ok 1 number(s): "656633208"
Test #17:
score: 0
Accepted
time: 55ms
memory: 6324kb
input:
54 38 356
output:
215089708
result:
ok 1 number(s): "215089708"
Test #18:
score: 0
Accepted
time: 4ms
memory: 3820kb
input:
22 19 189
output:
0
result:
ok 1 number(s): "0"
Test #19:
score: 0
Accepted
time: 98ms
memory: 8884kb
input:
54 63 401
output:
987604839
result:
ok 1 number(s): "987604839"
Test #20:
score: 0
Accepted
time: 8ms
memory: 3856kb
input:
22 43 171
output:
827743481
result:
ok 1 number(s): "827743481"
Test #21:
score: 0
Accepted
time: 42ms
memory: 5844kb
input:
54 24 446
output:
551546514
result:
ok 1 number(s): "551546514"
Test #22:
score: 0
Accepted
time: 1ms
memory: 3652kb
input:
22 4 152
output:
0
result:
ok 1 number(s): "0"
Test #23:
score: 0
Accepted
time: 336ms
memory: 17068kb
input:
54 48 1306
output:
0
result:
ok 1 number(s): "0"
Test #24:
score: 0
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time: 0ms
memory: 3932kb
input:
22 29 7
output:
374430631
result:
ok 1 number(s): "374430631"
Test #25:
score: 0
Accepted
time: 62ms
memory: 6244kb
input:
54 9 1351
output:
0
result:
ok 1 number(s): "0"
Test #26:
score: 0
Accepted
time: 1ms
memory: 3876kb
input:
22 54 5
output:
267958047
result:
ok 1 number(s): "267958047"
Test #27:
score: 0
Accepted
time: 292ms
memory: 14380kb
input:
64 32 1315
output:
494251101
result:
ok 1 number(s): "494251101"
Test #28:
score: 0
Accepted
time: 8ms
memory: 3940kb
input:
33 12 332
output:
765350074
result:
ok 1 number(s): "765350074"
Test #29:
score: 0
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time: 0ms
memory: 3584kb
input:
1 57 1
output:
1
result:
ok 1 number(s): "1"
Test #30:
score: 0
Accepted
time: 24ms
memory: 5072kb
input:
33 37 363
output:
0
result:
ok 1 number(s): "0"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
1 17 0
output:
16
result:
ok 1 number(s): "16"
Test #32:
score: 0
Accepted
time: 16ms
memory: 4412kb
input:
33 62 148
output:
871819399
result:
ok 1 number(s): "871819399"
Test #33:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
1 42 0
output:
41
result:
ok 1 number(s): "41"
Test #34:
score: 0
Accepted
time: 7ms
memory: 4000kb
input:
33 23 179
output:
23699248
result:
ok 1 number(s): "23699248"
Test #35:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
1 3 1
output:
1
result:
ok 1 number(s): "1"
Test #36:
score: 0
Accepted
time: 18ms
memory: 4784kb
input:
33 47 211
output:
267909794
result:
ok 1 number(s): "267909794"
Test #37:
score: 0
Accepted
time: 1ms
memory: 3704kb
input:
11 26 32
output:
0
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ok 1 number(s): "0"
Test #38:
score: 0
Accepted
time: 7ms
memory: 4032kb
input:
43 6 579
output:
280289125
result:
ok 1 number(s): "280289125"
Test #39:
score: 0
Accepted
time: 0ms
memory: 3620kb
input:
11 50 5
output:
865381083
result:
ok 1 number(s): "865381083"
Test #40:
score: 0
Accepted
time: 81ms
memory: 7668kb
input:
43 31 750
output:
0
result:
ok 1 number(s): "0"
Test #41:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
11 11 12
output:
753565341
result:
ok 1 number(s): "753565341"
Test #42:
score: 0
Accepted
time: 43ms
memory: 5956kb
input:
43 56 290
output:
575236094
result:
ok 1 number(s): "575236094"
Test #43:
score: 0
Accepted
time: 1ms
memory: 3748kb
input:
11 36 52
output:
0
result:
ok 1 number(s): "0"
Test #44:
score: 0
Accepted
time: 0ms
memory: 3684kb
input:
44 16 0
output:
0
result:
ok 1 number(s): "0"
Test #45:
score: 0
Accepted
time: 1ms
memory: 3944kb
input:
12 61 31
output:
682427534
result:
ok 1 number(s): "682427534"
Test #46:
score: 0
Accepted
time: 46ms
memory: 6284kb
input:
44 41 365
output:
759457870
result:
ok 1 number(s): "759457870"
Test #47:
score: 0
Accepted
time: 1ms
memory: 4028kb
input:
22 19 70
output:
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result:
ok 1 number(s): "247296498"
Test #48:
score: 0
Accepted
time: 123ms
memory: 9652kb
input:
54 64 444
output:
418216086
result:
ok 1 number(s): "418216086"
Test #49:
score: 0
Accepted
time: 2ms
memory: 3740kb
input:
22 44 52
output:
779702126
result:
ok 1 number(s): "779702126"
Test #50:
score: 0
Accepted
time: 175ms
memory: 10500kb
input:
54 25 1303
output:
0
result:
ok 1 number(s): "0"
Test #51:
score: 0
Accepted
time: 0ms
memory: 3672kb
input:
22 5 49
output:
219556981
result:
ok 1 number(s): "219556981"
Test #52:
score: 0
Accepted
time: 335ms
memory: 16948kb
input:
54 49 1269
output:
0
result:
ok 1 number(s): "0"
Test #53:
score: 0
Accepted
time: 1ms
memory: 3708kb
input:
22 30 14
output:
719775605
result:
ok 1 number(s): "719775605"
Test #54:
score: 0
Accepted
time: 63ms
memory: 6352kb
input:
54 10 1314
output:
0
result:
ok 1 number(s): "0"
Test #55:
score: 0
Accepted
time: 1ms
memory: 3752kb
input:
22 54 12
output:
325137058
result:
ok 1 number(s): "325137058"
Test #56:
score: 0
Accepted
time: 256ms
memory: 13756kb
input:
54 35 1359
output:
0
result:
ok 1 number(s): "0"
Test #57:
score: 0
Accepted
time: 9ms
memory: 4284kb
input:
33 13 335
output:
202725820
result:
ok 1 number(s): "202725820"
Test #58:
score: 0
Accepted
time: 1025ms
memory: 37676kb
input:
64 64 2080
output:
1
result:
ok 1 number(s): "1"
Test #59:
score: 0
Accepted
time: 0ms
memory: 3588kb
input:
1 1 0
output:
0
result:
ok 1 number(s): "0"
Test #60:
score: 0
Accepted
time: 0ms
memory: 3844kb
input:
1 1 1
output:
1
result:
ok 1 number(s): "1"
Test #61:
score: 0
Accepted
time: 997ms
memory: 35528kb
input:
63 63 2016
output:
1
result:
ok 1 number(s): "1"