QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#505806 | #9116. DRD String | hos_lyric | AC ✓ | 11ms | 11128kb | C++14 | 4.4kb | 2024-08-05 11:40:12 | 2024-08-05 11:40:15 |
Judging History
answer
#include <cassert>
#include <cmath>
#include <cstdint>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <functional>
#include <iostream>
#include <limits>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <string>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using Int = long long;
template <class T1, class T2> ostream &operator<<(ostream &os, const pair<T1, T2> &a) { return os << "(" << a.first << ", " << a.second << ")"; };
template <class T> ostream &operator<<(ostream &os, const vector<T> &as) { const int sz = as.size(); os << "["; for (int i = 0; i < sz; ++i) { if (i >= 256) { os << ", ..."; break; } if (i > 0) { os << ", "; } os << as[i]; } return os << "]"; }
template <class T> void pv(T a, T b) { for (T i = a; i != b; ++i) cerr << *i << " "; cerr << endl; }
template <class T> bool chmin(T &t, const T &f) { if (t > f) { t = f; return true; } return false; }
template <class T> bool chmax(T &t, const T &f) { if (t < f) { t = f; return true; } return false; }
#define COLOR(s) ("\x1b[" s "m")
////////////////////////////////////////////////////////////////////////////////
template <unsigned M_> struct ModInt {
static constexpr unsigned M = M_;
unsigned x;
constexpr ModInt() : x(0U) {}
constexpr ModInt(unsigned x_) : x(x_ % M) {}
constexpr ModInt(unsigned long long x_) : x(x_ % M) {}
constexpr ModInt(int x_) : x(((x_ %= static_cast<int>(M)) < 0) ? (x_ + static_cast<int>(M)) : x_) {}
constexpr ModInt(long long x_) : x(((x_ %= static_cast<long long>(M)) < 0) ? (x_ + static_cast<long long>(M)) : x_) {}
ModInt &operator+=(const ModInt &a) { x = ((x += a.x) >= M) ? (x - M) : x; return *this; }
ModInt &operator-=(const ModInt &a) { x = ((x -= a.x) >= M) ? (x + M) : x; return *this; }
ModInt &operator*=(const ModInt &a) { x = (static_cast<unsigned long long>(x) * a.x) % M; return *this; }
ModInt &operator/=(const ModInt &a) { return (*this *= a.inv()); }
ModInt pow(long long e) const {
if (e < 0) return inv().pow(-e);
ModInt a = *this, b = 1U; for (; e; e >>= 1) { if (e & 1) b *= a; a *= a; } return b;
}
ModInt inv() const {
unsigned a = M, b = x; int y = 0, z = 1;
for (; b; ) { const unsigned q = a / b; const unsigned c = a - q * b; a = b; b = c; const int w = y - static_cast<int>(q) * z; y = z; z = w; }
assert(a == 1U); return ModInt(y);
}
ModInt operator+() const { return *this; }
ModInt operator-() const { ModInt a; a.x = x ? (M - x) : 0U; return a; }
ModInt operator+(const ModInt &a) const { return (ModInt(*this) += a); }
ModInt operator-(const ModInt &a) const { return (ModInt(*this) -= a); }
ModInt operator*(const ModInt &a) const { return (ModInt(*this) *= a); }
ModInt operator/(const ModInt &a) const { return (ModInt(*this) /= a); }
template <class T> friend ModInt operator+(T a, const ModInt &b) { return (ModInt(a) += b); }
template <class T> friend ModInt operator-(T a, const ModInt &b) { return (ModInt(a) -= b); }
template <class T> friend ModInt operator*(T a, const ModInt &b) { return (ModInt(a) *= b); }
template <class T> friend ModInt operator/(T a, const ModInt &b) { return (ModInt(a) /= b); }
explicit operator bool() const { return x; }
bool operator==(const ModInt &a) const { return (x == a.x); }
bool operator!=(const ModInt &a) const { return (x != a.x); }
friend std::ostream &operator<<(std::ostream &os, const ModInt &a) { return os << a.x; }
};
////////////////////////////////////////////////////////////////////////////////
constexpr unsigned MO = 998244353;
using Mint = ModInt<MO>;
int main() {
int N, A;
for (; ~scanf("%d%d", &N, &A); ) {
vector<Mint> AA(N + 1);
AA[0] = 1;
for (int i = 1; i <= N; ++i) AA[i] = AA[i - 1] * A;
// border-free
auto dp = AA;
Mint sum = 0;
for (int n = 1; n <= N; ++n) {
// k: min border
/*
for (int k = 1; 2 * k <= n; ++k) {
dp[n] -= dp[k] * AA[n - 2 * k];
}
*/
sum *= A;
if (n % 2 == 0) sum += dp[n / 2];
dp[n] -= sum;
}
Mint ans = AA[N] - dp[N];
if (N % 2 == 0) {
ans -= dp[N / 2];
}
printf("%u\n", ans.x);
}
return 0;
}
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Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3784kb
input:
6 2
output:
40
result:
ok "40"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
3017 7801
output:
515391664
result:
ok "515391664"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
3 1
output:
1
result:
ok "1"
Test #4:
score: 0
Accepted
time: 0ms
memory: 4064kb
input:
4 7
output:
343
result:
ok "343"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3792kb
input:
5 4
output:
304
result:
ok "304"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
8 8
output:
2355200
result:
ok "2355200"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3764kb
input:
7 6
output:
54216
result:
ok "54216"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3796kb
input:
1330 3031
output:
139921223
result:
ok "139921223"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3828kb
input:
4946 3837
output:
64102067
result:
ok "64102067"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3884kb
input:
4236 3305
output:
78581604
result:
ok "78581604"
Test #11:
score: 0
Accepted
time: 0ms
memory: 4048kb
input:
399 3245
output:
714500544
result:
ok "714500544"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
4881 2346
output:
28365995
result:
ok "28365995"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3788kb
input:
4647 3069
output:
798067847
result:
ok "798067847"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
3414 4280
output:
669878613
result:
ok "669878613"
Test #15:
score: 0
Accepted
time: 11ms
memory: 10932kb
input:
1000000 1000000
output:
469217978
result:
ok "469217978"
Test #16:
score: 0
Accepted
time: 7ms
memory: 10880kb
input:
1000000 1
output:
1
result:
ok "1"
Test #17:
score: 0
Accepted
time: 5ms
memory: 6704kb
input:
418909 302156
output:
189551565
result:
ok "189551565"
Test #18:
score: 0
Accepted
time: 10ms
memory: 11128kb
input:
984572 895728
output:
567020798
result:
ok "567020798"
Test #19:
score: 0
Accepted
time: 1ms
memory: 3768kb
input:
50545 723857
output:
651400574
result:
ok "651400574"
Test #20:
score: 0
Accepted
time: 4ms
memory: 8504kb
input:
668791 286918
output:
27505324
result:
ok "27505324"
Test #21:
score: 0
Accepted
time: 3ms
memory: 10172kb
input:
898539 238506
output:
9072376
result:
ok "9072376"
Test #22:
score: 0
Accepted
time: 0ms
memory: 8764kb
input:
711024 686568
output:
221989803
result:
ok "221989803"
Test #23:
score: 0
Accepted
time: 6ms
memory: 10596kb
input:
970385 660016
output:
104842944
result:
ok "104842944"
Test #24:
score: 0
Accepted
time: 6ms
memory: 10480kb
input:
943632 224593
output:
631779281
result:
ok "631779281"
Test #25:
score: 0
Accepted
time: 1ms
memory: 3976kb
input:
26758 836991
output:
860673946
result:
ok "860673946"
Test #26:
score: 0
Accepted
time: 9ms
memory: 9824kb
input:
838661 823355
output:
34634389
result:
ok "34634389"
Test #27:
score: 0
Accepted
time: 10ms
memory: 10472kb
input:
923587 8580
output:
549615557
result:
ok "549615557"
Test #28:
score: 0
Accepted
time: 0ms
memory: 5240kb
input:
275456 449218
output:
745638801
result:
ok "745638801"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
96512 594328
output:
159367796
result:
ok "159367796"
Test #30:
score: 0
Accepted
time: 7ms
memory: 10940kb
input:
995445 996221
output:
785170205
result:
ok "785170205"
Test #31:
score: 0
Accepted
time: 9ms
memory: 9656kb
input:
821123 195922
output:
950462887
result:
ok "950462887"
Test #32:
score: 0
Accepted
time: 8ms
memory: 8804kb
input:
715365 748511
output:
571984302
result:
ok "571984302"
Test #33:
score: 0
Accepted
time: 6ms
memory: 9968kb
input:
867858 338674
output:
698272834
result:
ok "698272834"
Test #34:
score: 0
Accepted
time: 2ms
memory: 6276kb
input:
406213 206504
output:
201893603
result:
ok "201893603"
Test #35:
score: 0
Accepted
time: 0ms
memory: 9084kb
input:
729455 262034
output:
521537323
result:
ok "521537323"
Test #36:
score: 0
Accepted
time: 3ms
memory: 10332kb
input:
915061 381221
output:
361349035
result:
ok "361349035"
Test #37:
score: 0
Accepted
time: 2ms
memory: 6516kb
input:
426669 32501
output:
206011209
result:
ok "206011209"
Test #38:
score: 0
Accepted
time: 0ms
memory: 5176kb
input:
256786 708325
output:
287335753
result:
ok "287335753"
Extra Test:
score: 0
Extra Test Passed