QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#181957 | #4893. Imbalance | hos_lyric# | 10 | 618ms | 10524kb | C++14 | 5.4kb | 2023-09-17 06:25:39 | 2024-07-04 02:01:11 |
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 <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 N, K, M;
char S[120];
namespace brute {
vector<int> fs;
int ans;
void dfs(int i) {
if (i >= K && fs[i - K] == fs[i]) {
return;
}
if (i == N) {
++ans;
} else {
for (int a = 0; a < 2; ++a) if (i >= M || S[i] - '0' == a) {
fs[i + 1] = fs[i] + (a ? -1 : +1);
dfs(i + 1);
}
}
}
Mint run() {
fs.assign(N + 1, 0);
ans = 0;
dfs(0);
return ans;
}
} // brute
namespace small_k {
bool ban[1 << 20];
Mint run() {
for (int p = 0; p < 1 << K; ++p) {
ban[p] = (2 * __builtin_popcount(p) == K);
}
vector<Mint> crt(1 << (K-1), 0);
crt[0] = 1;
for (int i = 0; i < N; ++i) {
vector<Mint> nxt(1 << K, 0);
for (int p = 0; p < 1 << (K-1); ++p) {
for (int a = 0; a < 2; ++a) if (i >= M || S[i] - '0' == a) {
nxt[p << 1 | a] += crt[p];
}
}
if (i + 1 >= K) {
for (int p = 0; p < 1 << K; ++p) if (ban[p]) {
nxt[p] = 0;
}
}
for (int p = 0; p < 1 << (K-1); ++p) {
crt[p] = nxt[p] + nxt[p | 1 << (K-1)];
}
}
Mint ans = 0;
for (int p = 0; p < 1 << (K-1); ++p) {
ans += crt[p];
}
return ans;
}
} // small_k
int main() {
for (; ~scanf("%d%d%d", &N, &K, &M); ) {
if (M) {
scanf("%s", S);
} else {
S[0] = 0;
}
Mint ans = 0;
if (K <= 20) {
ans = small_k::run();
} else {
ans = brute::run();
}
printf("%u\n", ans.x);
#ifdef LOCAL
if(N<=20){
const Mint brt=brute::run();
if(brt!=ans)cerr<<N<<" "<<K<<" "<<M<<" "<<S<<": "<<brt<<" "<<ans<<endl;
assert(brt==ans);
}
#endif
}
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 3836kb
input:
2 2 0
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
2 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3800kb
input:
3 2 0
output:
2
result:
ok 1 number(s): "2"
Test #4:
score: 0
Accepted
time: 1ms
memory: 4060kb
input:
3 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
4 2 0
output:
2
result:
ok 1 number(s): "2"
Test #6:
score: 0
Accepted
time: 1ms
memory: 4104kb
input:
4 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
4 4 0
output:
10
result:
ok 1 number(s): "10"
Test #8:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
4 4 1 1
output:
5
result:
ok 1 number(s): "5"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
4 4 2 00
output:
3
result:
ok 1 number(s): "3"
Test #10:
score: 0
Accepted
time: 1ms
memory: 4104kb
input:
4 4 3 101
output:
1
result:
ok 1 number(s): "1"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
5 2 0
output:
2
result:
ok 1 number(s): "2"
Test #12:
score: 0
Accepted
time: 1ms
memory: 3876kb
input:
5 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #13:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
5 4 0
output:
14
result:
ok 1 number(s): "14"
Test #14:
score: 0
Accepted
time: 1ms
memory: 3752kb
input:
5 4 1 0
output:
7
result:
ok 1 number(s): "7"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
5 4 2 01
output:
3
result:
ok 1 number(s): "3"
Test #16:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
5 4 3 110
output:
1
result:
ok 1 number(s): "1"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3892kb
input:
17 2 0
output:
2
result:
ok 1 number(s): "2"
Test #18:
score: 0
Accepted
time: 1ms
memory: 3892kb
input:
17 2 0
output:
2
result:
ok 1 number(s): "2"
Test #19:
score: 0
Accepted
time: 1ms
memory: 3864kb
input:
17 10 6 110111
output:
621
result:
ok 1 number(s): "621"
Test #20:
score: 0
Accepted
time: 1ms
memory: 4092kb
input:
17 10 2 11
output:
8413
result:
ok 1 number(s): "8413"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3752kb
input:
18 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #22:
score: 0
Accepted
time: 1ms
memory: 4100kb
input:
18 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3824kb
input:
18 8 5 00010
output:
918
result:
ok 1 number(s): "918"
Test #24:
score: 0
Accepted
time: 1ms
memory: 4064kb
input:
18 8 3 001
output:
3404
result:
ok 1 number(s): "3404"
Test #25:
score: 0
Accepted
time: 6ms
memory: 4416kb
input:
18 16 6 100011
output:
2458
result:
ok 1 number(s): "2458"
Test #26:
score: 0
Accepted
time: 6ms
memory: 4420kb
input:
18 16 8 00101101
output:
548
result:
ok 1 number(s): "548"
Test #27:
score: 0
Accepted
time: 1ms
memory: 3800kb
input:
19 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #28:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
19 2 0
output:
2
result:
ok 1 number(s): "2"
Test #29:
score: 0
Accepted
time: 1ms
memory: 3844kb
input:
19 6 2 00
output:
3413
result:
ok 1 number(s): "3413"
Test #30:
score: 0
Accepted
time: 1ms
memory: 3804kb
input:
19 6 1 1
output:
7012
result:
ok 1 number(s): "7012"
Test #31:
score: 0
Accepted
time: 1ms
memory: 4124kb
input:
19 12 10 1010110000
output:
266
result:
ok 1 number(s): "266"
Test #32:
score: 0
Accepted
time: 1ms
memory: 4120kb
input:
19 12 3 111
output:
19234
result:
ok 1 number(s): "19234"
Test #33:
score: 0
Accepted
time: 3ms
memory: 4120kb
input:
19 16 2 10
output:
77876
result:
ok 1 number(s): "77876"
Test #34:
score: 0
Accepted
time: 6ms
memory: 4096kb
input:
19 16 0
output:
301208
result:
ok 1 number(s): "301208"
Test #35:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
20 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #36:
score: 0
Accepted
time: 1ms
memory: 3808kb
input:
20 2 0
output:
2
result:
ok 1 number(s): "2"
Test #37:
score: 0
Accepted
time: 1ms
memory: 4096kb
input:
20 10 9 110111000
output:
76
result:
ok 1 number(s): "76"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
20 10 9 110101110
output:
372
result:
ok 1 number(s): "372"
Test #39:
score: 0
Accepted
time: 2ms
memory: 3860kb
input:
20 14 11 10110110000
output:
207
result:
ok 1 number(s): "207"
Test #40:
score: 0
Accepted
time: 2ms
memory: 3908kb
input:
20 14 7 0011011
output:
3675
result:
ok 1 number(s): "3675"
Test #41:
score: 0
Accepted
time: 75ms
memory: 10416kb
input:
20 20 14 10111010000000
output:
58
result:
ok 1 number(s): "58"
Subtask #2:
score: 0
Wrong Answer
Dependency #1:
100%
Accepted
Test #42:
score: 10
Accepted
time: 4ms
memory: 3896kb
input:
114 12 11 11010000010
output:
394940507
result:
ok 1 number(s): "394940507"
Test #43:
score: 0
Accepted
time: 4ms
memory: 3816kb
input:
114 12 2 01
output:
60509873
result:
ok 1 number(s): "60509873"
Test #44:
score: 0
Accepted
time: 12ms
memory: 3928kb
input:
114 14 10 1001111011
output:
154687039
result:
ok 1 number(s): "154687039"
Test #45:
score: 0
Accepted
time: 12ms
memory: 3912kb
input:
114 14 5 00100
output:
941826071
result:
ok 1 number(s): "941826071"
Test #46:
score: 0
Accepted
time: 44ms
memory: 4120kb
input:
114 16 10 1011101001
output:
391666362
result:
ok 1 number(s): "391666362"
Test #47:
score: 0
Accepted
time: 45ms
memory: 4132kb
input:
114 16 15 000010011111010
output:
599226561
result:
ok 1 number(s): "599226561"
Test #48:
score: 0
Accepted
time: 171ms
memory: 5120kb
input:
114 18 1 0
output:
167675624
result:
ok 1 number(s): "167675624"
Test #49:
score: 0
Accepted
time: 172ms
memory: 5164kb
input:
114 18 8 11000001
output:
165986235
result:
ok 1 number(s): "165986235"
Test #50:
score: 0
Accepted
time: 610ms
memory: 10524kb
input:
114 20 17 11101000010011010
output:
852476378
result:
ok 1 number(s): "852476378"
Test #51:
score: 0
Accepted
time: 618ms
memory: 10492kb
input:
114 20 13 1101011010000
output:
974712368
result:
ok 1 number(s): "974712368"
Test #52:
score: -10
Wrong Answer
time: 0ms
memory: 3908kb
input:
113 12 8 10101100
output:
result:
wrong answer Answer contains longer sequence [length = 1], but output contains 0 elements
Subtask #3:
score: 0
Wrong Answer
Dependency #1:
100%
Accepted
Test #84:
score: 0
Wrong Answer
time: 1ms
memory: 3676kb
input:
66 20 5 11001
output:
result:
wrong answer Answer contains longer sequence [length = 1], but output contains 0 elements
Subtask #4:
score: 0
Wrong Answer
Test #137:
score: 0
Wrong Answer
time: 1ms
memory: 3688kb
input:
114 20 0
output:
result:
wrong answer Answer contains longer sequence [length = 1], but output contains 0 elements
Subtask #5:
score: 0
Skipped
Dependency #2:
0%