QOJ.ac
QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#656533 | #9479. And DNA | ucup-team008# | AC ✓ | 1ms | 3864kb | C++17 | 8.5kb | 2024-10-19 13:16:44 | 2024-10-19 13:16:45 |
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>;
typedef vector<vector<mnum>> matrix;
matrix mul(const matrix& a, const matrix& b) {
matrix c(sz(a));
for (int i = 0; i < sz(a); i++) {
c[i].resize(sz(b[0]));
for (int j = 0; j < sz(b[0]); j++) {
for (int k = 0; k < sz(a[0]); k++) {
c[i][j] += a[i][k] * b[k][j];
}
}
}
return c;
}
matrix fpow(matrix b, ll e) {
matrix res(sz(b));
for (int i = 0; i < sz(b); i++) {
res[i].resize(sz(b));
res[i][i] = 1;
}
while (e) {
if (e & 1) {
res = mul(res, b);
}
b = mul(b, b);
e >>= 1;
}
return res;
}
void solve() {
int n, m;
cin >> n >> m;
matrix b(3);
for(auto& x: b) x.resize(3);
b[0][1] = 1; b[1][2] = 1; b[2][0] = 1; b[2][1] = 1;
matrix r = fpow(b, n-2);
mnum scale = 3*r[2][0] + 2*r[2][2];
map<int, mnum> dp;
auto dfs = y_combinator([&](auto self, int n) -> mnum {
if(dp.count(n)) return dp[n];
if(n <= 1) return n;
if(n%2==0) dp[n] = self(n/2)*scale;
else dp[n] = self(n/2) + self(n/2+1);
return dp[n];
});
cout << dfs(m+1) << "\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();
}
详细
Test #1:
score: 100
Accepted
time: 1ms
memory: 3580kb
input:
3 2
output:
4
result:
ok "4"
Test #2:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
3 0
output:
1
result:
ok "1"
Test #3:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
100 100
output:
343406454
result:
ok "343406454"
Test #4:
score: 0
Accepted
time: 0ms
memory: 3856kb
input:
686579306 119540831
output:
260602195
result:
ok "260602195"
Test #5:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
26855095 796233790
output:
492736984
result:
ok "492736984"
Test #6:
score: 0
Accepted
time: 0ms
memory: 3632kb
input:
295310488 262950628
output:
503008241
result:
ok "503008241"
Test #7:
score: 0
Accepted
time: 0ms
memory: 3584kb
input:
239670714 149827706
output:
994702969
result:
ok "994702969"
Test #8:
score: 0
Accepted
time: 0ms
memory: 3628kb
input:
790779949 110053353
output:
898252188
result:
ok "898252188"
Test #9:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
726600542 795285932
output:
183726777
result:
ok "183726777"
Test #10:
score: 0
Accepted
time: 0ms
memory: 3580kb
input:
957970519 585582861
output:
298814018
result:
ok "298814018"
Test #11:
score: 0
Accepted
time: 0ms
memory: 3780kb
input:
93349859 634036506
output:
110693443
result:
ok "110693443"
Test #12:
score: 0
Accepted
time: 0ms
memory: 3668kb
input:
453035113 34126396
output:
306244220
result:
ok "306244220"
Test #13:
score: 0
Accepted
time: 1ms
memory: 3520kb
input:
31994526 100604502
output:
930620701
result:
ok "930620701"
Test #14:
score: 0
Accepted
time: 0ms
memory: 3520kb
input:
234760741 249817734
output:
440195858
result:
ok "440195858"
Test #15:
score: 0
Accepted
time: 0ms
memory: 3612kb
input:
542621111 646412689
output:
207377992
result:
ok "207377992"
Test #16:
score: 0
Accepted
time: 0ms
memory: 3860kb
input:
28492783 602632297
output:
65234506
result:
ok "65234506"
Test #17:
score: 0
Accepted
time: 1ms
memory: 3852kb
input:
213500301 768820204
output:
540205113
result:
ok "540205113"
Test #18:
score: 0
Accepted
time: 0ms
memory: 3636kb
input:
697808101 753041955
output:
93561295
result:
ok "93561295"
Test #19:
score: 0
Accepted
time: 0ms
memory: 3592kb
input:
585126464 450455977
output:
91109717
result:
ok "91109717"
Test #20:
score: 0
Accepted
time: 1ms
memory: 3576kb
input:
236696315 482334538
output:
925575199
result:
ok "925575199"
Test #21:
score: 0
Accepted
time: 1ms
memory: 3584kb
input:
632719214 298704996
output:
358926097
result:
ok "358926097"
Test #22:
score: 0
Accepted
time: 1ms
memory: 3780kb
input:
869119333 933404114
output:
318501108
result:
ok "318501108"
Test #23:
score: 0
Accepted
time: 1ms
memory: 3864kb
input:
6977994 814763202
output:
585332987
result:
ok "585332987"
Test #24:
score: 0
Accepted
time: 1ms
memory: 3624kb
input:
3 1
output:
3
result:
ok "3"
Test #25:
score: 0
Accepted
time: 0ms
memory: 3732kb
input:
3 1000000000
output:
279679226
result:
ok "279679226"
Test #26:
score: 0
Accepted
time: 0ms
memory: 3852kb
input:
4 0
output:
1
result:
ok "1"
Test #27:
score: 0
Accepted
time: 1ms
memory: 3776kb
input:
4 1
output:
2
result:
ok "2"
Test #28:
score: 0
Accepted
time: 0ms
memory: 3644kb
input:
4 1000000000
output:
1755648
result:
ok "1755648"
Test #29:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
1000000000 0
output:
1
result:
ok "1"
Test #30:
score: 0
Accepted
time: 0ms
memory: 3572kb
input:
1000000000 1
output:
696798313
result:
ok "696798313"
Test #31:
score: 0
Accepted
time: 0ms
memory: 3576kb
input:
1000000000 1000000000
output:
703786301
result:
ok "703786301"
Extra Test:
score: 0
Extra Test Passed