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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#656944 | #9489. 0100 Insertion | ucup-team008# | RE | 1ms | 3668kb | C++17 | 8.3kb | 2024-10-19 13:54:46 | 2024-10-19 13:54:46 |
Judging History
answer
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cstring>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <unordered_map>
#include <vector>
using namespace std;
// BEGIN NO SAD
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define trav(a, x) for(auto& a : x)
#define all(x) x.begin(), x.end()
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
typedef vector<int> vi;
#define f first
#define s second
#define derr if(0) cerr
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}
#define debug(x...) cerr << "\e[91m"<<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << "\e[39m" << flush;
// END NO SAD
template<class Fun>
class y_combinator_result {
Fun fun_;
public:
template<class T>
explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {}
template<class ...Args>
decltype(auto) operator()(Args &&...args) {
return fun_(std::ref(*this), std::forward<Args>(args)...);
}
};
template<class Fun>
decltype(auto) y_combinator(Fun &&fun) {
return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun));
}
template<class T>
bool updmin(T& a, T b) {
if(b < a) {
a = b;
return true;
}
return false;
}
template<class T>
bool updmax(T& a, T b) {
if(b > a) {
a = b;
return true;
}
return false;
}
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
struct barrett_reduction {
unsigned mod;
uint64_t div;
barrett_reduction(unsigned m) : mod(m), div(-1LLU / m) {}
unsigned operator()(uint64_t a) const {
#ifdef __SIZEOF_INT128__
uint64_t q = uint64_t(__uint128_t(div) * a >> 64);
uint64_t r = a - q * mod;
return unsigned(r < mod ? r : r - mod);
#endif
return unsigned(a % mod);
}
};
template<const int &MOD, const barrett_reduction &barrett>
struct _b_int {
int val;
_b_int(int64_t v = 0) {
if (v < 0) v = v % MOD + MOD;
if (v >= MOD) v %= MOD;
val = int(v);
}
_b_int(uint64_t v) {
if (v >= uint64_t(MOD)) v %= MOD;
val = int(v);
}
_b_int(int v) : _b_int(int64_t(v)) {}
_b_int(unsigned v) : _b_int(uint64_t(v)) {}
static int inv_mod(int a, int m = MOD) {
// https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm#Example
int g = m, r = a, x = 0, y = 1;
while (r != 0) {
int q = g / r;
g %= r; swap(g, r);
x -= q * y; swap(x, y);
}
return x < 0 ? x + m : x;
}
explicit operator int() const { return val; }
explicit operator unsigned() const { return val; }
explicit operator int64_t() const { return val; }
explicit operator uint64_t() const { return val; }
explicit operator double() const { return val; }
explicit operator long double() const { return val; }
_b_int& operator+=(const _b_int &other) {
val -= MOD - other.val;
if (val < 0) val += MOD;
return *this;
}
_b_int& operator-=(const _b_int &other) {
val -= other.val;
if (val < 0) val += MOD;
return *this;
}
static unsigned fast_mod(uint64_t x) {
#if !defined(_WIN32) || defined(_WIN64)
return barrett(x);
#endif
// Optimized mod for Codeforces 32-bit machines.
// x must be less than 2^32 * MOD for this to work, so that x / MOD fits in an unsigned 32-bit int.
unsigned x_high = unsigned(x >> 32), x_low = unsigned(x);
unsigned quot, rem;
asm("divl %4\n"
: "=a" (quot), "=d" (rem)
: "d" (x_high), "a" (x_low), "r" (MOD));
return rem;
}
_b_int& operator*=(const _b_int &other) {
val = fast_mod(uint64_t(val) * other.val);
return *this;
}
_b_int& operator/=(const _b_int &other) {
return *this *= other.inv();
}
friend _b_int operator+(const _b_int &a, const _b_int &b) { return _b_int(a) += b; }
friend _b_int operator-(const _b_int &a, const _b_int &b) { return _b_int(a) -= b; }
friend _b_int operator*(const _b_int &a, const _b_int &b) { return _b_int(a) *= b; }
friend _b_int operator/(const _b_int &a, const _b_int &b) { return _b_int(a) /= b; }
_b_int& operator++() {
val = val == MOD - 1 ? 0 : val + 1;
return *this;
}
_b_int& operator--() {
val = val == 0 ? MOD - 1 : val - 1;
return *this;
}
_b_int operator++(int) { _b_int before = *this; ++*this; return before; }
_b_int operator--(int) { _b_int before = *this; --*this; return before; }
_b_int operator-() const {
return val == 0 ? 0 : MOD - val;
}
friend bool operator==(const _b_int &a, const _b_int &b) { return a.val == b.val; }
friend bool operator!=(const _b_int &a, const _b_int &b) { return a.val != b.val; }
friend bool operator<(const _b_int &a, const _b_int &b) { return a.val < b.val; }
friend bool operator>(const _b_int &a, const _b_int &b) { return a.val > b.val; }
friend bool operator<=(const _b_int &a, const _b_int &b) { return a.val <= b.val; }
friend bool operator>=(const _b_int &a, const _b_int &b) { return a.val >= b.val; }
_b_int inv() const {
return inv_mod(val);
}
_b_int pow(int64_t p) const {
if (p < 0)
return inv().pow(-p);
_b_int a = *this, result = 1;
while (p > 0) {
if (p & 1)
result *= a;
p >>= 1;
if (p > 0)
a *= a;
}
return result;
}
friend ostream& operator<<(ostream &os, const _b_int &m) {
return os << m.val;
}
friend istream& operator>>(istream &is, _b_int &m) {
int64_t x;
is >> x;
m = x;
return is;
}
};
int MOD = 998244353;
barrett_reduction barrett(MOD);
using mnum = _b_int<MOD, barrett>;
void solve() {
int n;
string s;
cin >> n >> s;
reverse(all(s));
vector<vector<array<mnum, 2>>> dp(4*n); // <sum, min, lhs>
for(auto& x: dp) {
x.resize(n+1);
}
dp[3*n][n][0] = 1;
for(int i = 0; i < n; i++) {
vector<vector<array<mnum, 2>>> ndp(4*n);
for(auto& x: ndp) x.resize(n+1);
for(int a = 0; a < sz(dp); a++) for(int b = 0; b < sz(dp[a]); b++) for(int c = 0; c < sz(dp[a][b]); c++) {
if(dp[a][b][c] == 0) continue;
for(int x = 0; x < 2; x++) {
if(s[i] != '?' && s[i]-'0' != x) continue;
if(x == 1 && c == 1) continue;
if(x == 1 && i <= 1) continue;
if(x == 1 && i == n-1) continue;
int na = a + (x == 0 ? 1 : -3);
int nb = min(b, na-2*n);
if(b-nb >= 2) continue;
ndp[na][nb][x] += dp[a][b][c];
}
}
dp.swap(ndp);
}
mnum ret = 0;
for(int a = 0; a <= n; a++) ret += dp[3*n][a][0];
cout << ret << "\n";
}
// what would chika do
// are there edge cases?
// did you actually sort the thing instead of just thinking it?
// integer overflow?
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
solve();
}
Details
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Test #1:
score: 100
Accepted
time: 0ms
memory: 3568kb
input:
8 0??0?100
output:
2
result:
ok "2"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3568kb
input:
4 ?10?
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 1ms
memory: 3668kb
input:
28 ???????????0???0??????1???0?
output:
2023
result:
ok "2023"
Test #4:
score: -100
Runtime Error
input:
4 ????