QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#182454 | #4893. Imbalance | hos_lyric | 20 | 201ms | 10704kb | C++14 | 4.8kb | 2023-09-18 02:11:59 | 2023-09-18 02:11:59 |
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 small_k {
Mint run() {
vector<char> ban(1 << K, 0);
for (int p = 0; p < 1 << K; ++p) {
ban[p] = (2 * __builtin_popcount(p) == K);
}
vector<Mint> crt(1 << (K-1), 0), nxt(1 << K, 0);
crt[0] = 1;
for (int i = 0; i < N; ++i) {
fill(nxt.begin(), nxt.end(), 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 {
// TODO
}
printf("%u\n", ans.x);
}
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: 3804kb
input:
2 2 0
output:
2
result:
ok 1 number(s): "2"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3844kb
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: 0ms
memory: 4092kb
input:
3 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
4 2 0
output:
2
result:
ok 1 number(s): "2"
Test #6:
score: 0
Accepted
time: 0ms
memory: 4100kb
input:
4 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
4 4 0
output:
10
result:
ok 1 number(s): "10"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
4 4 1 1
output:
5
result:
ok 1 number(s): "5"
Test #9:
score: 0
Accepted
time: 0ms
memory: 4108kb
input:
4 4 2 00
output:
3
result:
ok 1 number(s): "3"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3872kb
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: 0ms
memory: 3800kb
input:
5 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #13:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
5 4 0
output:
14
result:
ok 1 number(s): "14"
Test #14:
score: 0
Accepted
time: 0ms
memory: 4112kb
input:
5 4 1 0
output:
7
result:
ok 1 number(s): "7"
Test #15:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
5 4 2 01
output:
3
result:
ok 1 number(s): "3"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
5 4 3 110
output:
1
result:
ok 1 number(s): "1"
Test #17:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
17 2 0
output:
2
result:
ok 1 number(s): "2"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3820kb
input:
17 2 0
output:
2
result:
ok 1 number(s): "2"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3888kb
input:
17 10 6 110111
output:
621
result:
ok 1 number(s): "621"
Test #20:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
17 10 2 11
output:
8413
result:
ok 1 number(s): "8413"
Test #21:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
18 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #22:
score: 0
Accepted
time: 0ms
memory: 4092kb
input:
18 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #23:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
18 8 5 00010
output:
918
result:
ok 1 number(s): "918"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3784kb
input:
18 8 3 001
output:
3404
result:
ok 1 number(s): "3404"
Test #25:
score: 0
Accepted
time: 2ms
memory: 3888kb
input:
18 16 6 100011
output:
2458
result:
ok 1 number(s): "2458"
Test #26:
score: 0
Accepted
time: 0ms
memory: 4028kb
input:
18 16 8 00101101
output:
548
result:
ok 1 number(s): "548"
Test #27:
score: 0
Accepted
time: 0ms
memory: 3836kb
input:
19 2 1 1
output:
1
result:
ok 1 number(s): "1"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3812kb
input:
19 2 0
output:
2
result:
ok 1 number(s): "2"
Test #29:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
19 6 2 00
output:
3413
result:
ok 1 number(s): "3413"
Test #30:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
19 6 1 1
output:
7012
result:
ok 1 number(s): "7012"
Test #31:
score: 0
Accepted
time: 0ms
memory: 4120kb
input:
19 12 10 1010110000
output:
266
result:
ok 1 number(s): "266"
Test #32:
score: 0
Accepted
time: 0ms
memory: 4128kb
input:
19 12 3 111
output:
19234
result:
ok 1 number(s): "19234"
Test #33:
score: 0
Accepted
time: 2ms
memory: 4000kb
input:
19 16 2 10
output:
77876
result:
ok 1 number(s): "77876"
Test #34:
score: 0
Accepted
time: 2ms
memory: 4284kb
input:
19 16 0
output:
301208
result:
ok 1 number(s): "301208"
Test #35:
score: 0
Accepted
time: 0ms
memory: 3808kb
input:
20 2 1 0
output:
1
result:
ok 1 number(s): "1"
Test #36:
score: 0
Accepted
time: 0ms
memory: 4096kb
input:
20 2 0
output:
2
result:
ok 1 number(s): "2"
Test #37:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
20 10 9 110111000
output:
76
result:
ok 1 number(s): "76"
Test #38:
score: 0
Accepted
time: 0ms
memory: 3804kb
input:
20 10 9 110101110
output:
372
result:
ok 1 number(s): "372"
Test #39:
score: 0
Accepted
time: 1ms
memory: 3916kb
input:
20 14 11 10110110000
output:
207
result:
ok 1 number(s): "207"
Test #40:
score: 0
Accepted
time: 1ms
memory: 3856kb
input:
20 14 7 0011011
output:
3675
result:
ok 1 number(s): "3675"
Test #41:
score: 0
Accepted
time: 26ms
memory: 10476kb
input:
20 20 14 10111010000000
output:
58
result:
ok 1 number(s): "58"
Subtask #2:
score: 10
Accepted
Dependency #1:
100%
Accepted
Test #42:
score: 10
Accepted
time: 1ms
memory: 3776kb
input:
114 12 11 11010000010
output:
394940507
result:
ok 1 number(s): "394940507"
Test #43:
score: 0
Accepted
time: 1ms
memory: 3900kb
input:
114 12 2 01
output:
60509873
result:
ok 1 number(s): "60509873"
Test #44:
score: 0
Accepted
time: 3ms
memory: 3916kb
input:
114 14 10 1001111011
output:
154687039
result:
ok 1 number(s): "154687039"
Test #45:
score: 0
Accepted
time: 3ms
memory: 3912kb
input:
114 14 5 00100
output:
941826071
result:
ok 1 number(s): "941826071"
Test #46:
score: 0
Accepted
time: 12ms
memory: 3992kb
input:
114 16 10 1011101001
output:
391666362
result:
ok 1 number(s): "391666362"
Test #47:
score: 0
Accepted
time: 12ms
memory: 4288kb
input:
114 16 15 000010011111010
output:
599226561
result:
ok 1 number(s): "599226561"
Test #48:
score: 0
Accepted
time: 46ms
memory: 5000kb
input:
114 18 1 0
output:
167675624
result:
ok 1 number(s): "167675624"
Test #49:
score: 0
Accepted
time: 49ms
memory: 5108kb
input:
114 18 8 11000001
output:
165986235
result:
ok 1 number(s): "165986235"
Test #50:
score: 0
Accepted
time: 199ms
memory: 10704kb
input:
114 20 17 11101000010011010
output:
852476378
result:
ok 1 number(s): "852476378"
Test #51:
score: 0
Accepted
time: 201ms
memory: 10420kb
input:
114 20 13 1101011010000
output:
974712368
result:
ok 1 number(s): "974712368"
Test #52:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
113 12 8 10101100
output:
754580060
result:
ok 1 number(s): "754580060"
Test #53:
score: 0
Accepted
time: 1ms
memory: 3864kb
input:
113 12 10 1110010010
output:
928476173
result:
ok 1 number(s): "928476173"
Test #54:
score: 0
Accepted
time: 3ms
memory: 3928kb
input:
113 14 9 010111000
output:
930953494
result:
ok 1 number(s): "930953494"
Test #55:
score: 0
Accepted
time: 3ms
memory: 4204kb
input:
113 14 0
output:
613264431
result:
ok 1 number(s): "613264431"
Test #56:
score: 0
Accepted
time: 13ms
memory: 3992kb
input:
113 16 4 0011
output:
966491874
result:
ok 1 number(s): "966491874"
Test #57:
score: 0
Accepted
time: 12ms
memory: 4252kb
input:
113 16 10 1110110011
output:
71975445
result:
ok 1 number(s): "71975445"
Test #58:
score: 0
Accepted
time: 49ms
memory: 5236kb
input:
113 18 2 01
output:
35416931
result:
ok 1 number(s): "35416931"
Test #59:
score: 0
Accepted
time: 49ms
memory: 4960kb
input:
113 18 11 01101011111
output:
605684813
result:
ok 1 number(s): "605684813"
Test #60:
score: 0
Accepted
time: 201ms
memory: 10512kb
input:
113 20 1 1
output:
970488755
result:
ok 1 number(s): "970488755"
Test #61:
score: 0
Accepted
time: 194ms
memory: 10516kb
input:
113 20 17 10000001101111001
output:
308768022
result:
ok 1 number(s): "308768022"
Test #62:
score: 0
Accepted
time: 1ms
memory: 3832kb
input:
112 12 10 1011100000
output:
379472486
result:
ok 1 number(s): "379472486"
Test #63:
score: 0
Accepted
time: 1ms
memory: 3860kb
input:
112 12 3 111
output:
876338776
result:
ok 1 number(s): "876338776"
Test #64:
score: 0
Accepted
time: 3ms
memory: 3916kb
input:
112 14 6 100111
output:
850899867
result:
ok 1 number(s): "850899867"
Test #65:
score: 0
Accepted
time: 3ms
memory: 3908kb
input:
112 14 11 11011001011
output:
579315503
result:
ok 1 number(s): "579315503"
Test #66:
score: 0
Accepted
time: 12ms
memory: 4252kb
input:
112 16 11 00000111111
output:
827780781
result:
ok 1 number(s): "827780781"
Test #67:
score: 0
Accepted
time: 13ms
memory: 3944kb
input:
112 16 9 101001101
output:
247916257
result:
ok 1 number(s): "247916257"
Test #68:
score: 0
Accepted
time: 48ms
memory: 5232kb
input:
112 18 16 0011000001111001
output:
740632908
result:
ok 1 number(s): "740632908"
Test #69:
score: 0
Accepted
time: 45ms
memory: 4992kb
input:
112 18 4 0010
output:
594108528
result:
ok 1 number(s): "594108528"
Test #70:
score: 0
Accepted
time: 195ms
memory: 10636kb
input:
112 20 7 1010100
output:
818166882
result:
ok 1 number(s): "818166882"
Test #71:
score: 0
Accepted
time: 196ms
memory: 10492kb
input:
112 20 16 0001100100101000
output:
222914924
result:
ok 1 number(s): "222914924"
Test #72:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
111 12 2 11
output:
895626591
result:
ok 1 number(s): "895626591"
Test #73:
score: 0
Accepted
time: 1ms
memory: 3828kb
input:
111 12 1 1
output:
543447881
result:
ok 1 number(s): "543447881"
Test #74:
score: 0
Accepted
time: 3ms
memory: 3916kb
input:
111 14 3 111
output:
555958815
result:
ok 1 number(s): "555958815"
Test #75:
score: 0
Accepted
time: 3ms
memory: 3888kb
input:
111 14 13 1110001101010
output:
47749667
result:
ok 1 number(s): "47749667"
Test #76:
score: 0
Accepted
time: 12ms
memory: 3988kb
input:
111 16 5 01000
output:
880732287
result:
ok 1 number(s): "880732287"
Test #77:
score: 0
Accepted
time: 12ms
memory: 4000kb
input:
111 16 7 0110010
output:
153134396
result:
ok 1 number(s): "153134396"
Test #78:
score: 0
Accepted
time: 44ms
memory: 4996kb
input:
111 18 17 11011101001111100
output:
718197735
result:
ok 1 number(s): "718197735"
Test #79:
score: 0
Accepted
time: 44ms
memory: 5036kb
input:
111 18 9 011110101
output:
78875109
result:
ok 1 number(s): "78875109"
Test #80:
score: 0
Accepted
time: 197ms
memory: 10432kb
input:
111 20 6 100101
output:
484008568
result:
ok 1 number(s): "484008568"
Test #81:
score: 0
Accepted
time: 193ms
memory: 10704kb
input:
111 20 19 1100110110001010110
output:
612558978
result:
ok 1 number(s): "612558978"
Test #82:
score: 0
Accepted
time: 172ms
memory: 10436kb
input:
102 20 10 0101000100
output:
678899105
result:
ok 1 number(s): "678899105"
Test #83:
score: 0
Accepted
time: 7ms
memory: 3996kb
input:
97 16 13 0101110011010
output:
456291266
result:
ok 1 number(s): "456291266"
Subtask #3:
score: 0
Wrong Answer
Dependency #1:
100%
Accepted
Test #84:
score: 30
Accepted
time: 116ms
memory: 10628kb
input:
66 20 5 11001
output:
286180948
result:
ok 1 number(s): "286180948"
Test #85:
score: 0
Accepted
time: 111ms
memory: 10628kb
input:
66 20 19 0101001111011100100
output:
334317215
result:
ok 1 number(s): "334317215"
Test #86:
score: -30
Wrong Answer
time: 0ms
memory: 3820kb
input:
66 22 19 1001101100000100001
output:
0
result:
wrong answer 1st numbers differ - expected: '465510840', found: '0'
Subtask #4:
score: 0
Wrong Answer
Test #137:
score: 20
Accepted
time: 201ms
memory: 10584kb
input:
114 20 0
output:
849724285
result:
ok 1 number(s): "849724285"
Test #138:
score: -20
Wrong Answer
time: 0ms
memory: 3780kb
input:
114 22 0
output:
0
result:
wrong answer 1st numbers differ - expected: '918046462', found: '0'
Subtask #5:
score: 0
Skipped
Dependency #2:
100%
Accepted
Dependency #3:
0%