#730772 (C++17) No.1810 RGB Biscuits

提出ソース

結果

問題	No.1810 RGB Biscuits
ユーザー	HIR180
提出日時	2022-01-14 22:00:51
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	40 ms / 2,000 ms
コード長	8,165 bytes
コンパイル時間	3,630 ms
コンパイル使用メモリ	197,076 KB
実行使用メモリ	6,820 KB
最終ジャッジ日時	2024-11-20 10:10:07
合計ジャッジ時間	4,799 ms
ジャッジサーバーID （参考情報）	judge3 / judge2

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 6,820 KB
testcase_01	AC	2 ms 6,820 KB
testcase_02	AC	2 ms 6,816 KB
testcase_03	AC	3 ms 6,816 KB
testcase_04	AC	3 ms 6,816 KB
testcase_05	AC	36 ms 6,816 KB
testcase_06	AC	40 ms 6,820 KB
testcase_07	AC	39 ms 6,816 KB
testcase_08	AC	39 ms 6,820 KB
testcase_09	AC	39 ms 6,820 KB
testcase_10	AC	25 ms 6,820 KB
testcase_11	AC	3 ms 6,820 KB
testcase_12	AC	3 ms 6,816 KB
testcase_13	AC	3 ms 6,820 KB
testcase_14	AC	8 ms 6,816 KB
testcase_15	AC	3 ms 6,816 KB
testcase_16	AC	4 ms 6,816 KB
testcase_17	AC	19 ms 6,816 KB
testcase_18	AC	20 ms 6,816 KB
testcase_19	AC	2 ms 6,820 KB
testcase_20	AC	2 ms 6,816 KB
testcase_21	AC	6 ms 6,820 KB

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ソースコード

raw source code

//Let's join Kaede Takagaki Fan Club !!
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <ctime>
#include <cassert>
#include <string>
#include <algorithm>
#include <vector>
#include <queue>
#include <stack>
#include <functional>
#include <iostream>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>
#include <cassert>
#include <iomanip>
#include <chrono>
#include <random>
#include <bitset>
#include <complex>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
#define int long long
//#define L __int128
typedef long long ll;
typedef pair<int,int> P;
typedef pair<int,P> P1;
typedef pair<P,P> P2;
#define pu push
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define eps 1e-7
#define INF 1000000000
#define a first
#define b second
#define fi first
#define sc second
//#define rng(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define rep(i,x) for(int i=0;i<x;i++)
#define repn(i,x) for(int i=1;i<=x;i++)
#define SORT(x) sort(x.begin(),x.end())
#define ERASE(x) x.erase(unique(x.begin(),x.end()),x.end())
#define POSL(x,v) (lower_bound(x.begin(),x.end(),v)-x.begin())
#define POSU(x,v) (upper_bound(x.begin(),x.end(),v)-x.begin())
#define all(x) x.begin(),x.end()
#define si(x) int(x.size())
#define pcnt(x) __builtin_popcountll(x)

#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
 
template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}
 
template<class t> using vc=vector<t>;
 
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
	return os<<"{"<<p.fi<<","<<p.sc<<"}";
}
 
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
	os<<"{";
	for(auto e:v)os<<e<<",";
	return os<<"}";
}
 
 //https://codeforces.com/blog/entry/62393
struct custom_hash {
	static uint64_t splitmix64(uint64_t x) {
		// http://xorshift.di.unimi.it/splitmix64.c
		x += 0x9e3779b97f4a7c15;
		x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
		x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
		return x ^ (x >> 31);
	}
 
	size_t operator()(uint64_t x) const {
		static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
		return splitmix64(x + FIXED_RANDOM);
	}
	//don't make x negative!
	size_t operator()(pair<int,int> x)const{
		return operator()(uint64_t(x.first)<<32|x.second);
	}
};
//unordered_set -> dtype, null_type
//unordered_map -> dtype(key), dtype(value)
using namespace __gnu_pbds;
template<class t,class u>
using hash_table=gp_hash_table<t,u,custom_hash>;

template<class T>
void g(T &a){
	cin >> a;
}
template<class T>
void o(const T &a,bool space=false){
	cout << a << (space?' ':'\n');
}
//ios::sync_with_stdio(false);
const ll mod = 1000000007;
//const ll mod = 1000000007;
mt19937_64 mt(chrono::steady_clock::now().time_since_epoch().count());
template<class T>
void add(T&a,T b){
	a+=b;
	if(a >= mod) a-=mod;
}
ll modpow(ll x,ll n){
	ll res=1;
	while(n>0){
		if(n&1) res=res*x%mod;
		x=x*x%mod;
		n>>=1;
	}
	return res;
}
#define _sz 1
ll F[_sz],R[_sz];
void make(){
	F[0] = 1;
	for(int i=1;i<_sz;i++) F[i] = F[i-1]*i%mod;
	R[_sz-1] = modpow(F[_sz-1], mod-2);
	for(int i=_sz-2;i>=0;i--) R[i] = R[i+1] * (i+1) % mod;
}
ll C(int a,int b){
	if(b < 0 || a < b) return 0;
	return F[a]*R[b]%mod*R[a-b]%mod;
}
template<class T> using mat = vc<vc<T>>;
template<class T>
mat<T> make_e(int n, int m, T v){
	mat<T>ret(n, vc<T>(m));
	rep(i, min(n, m)) ret[i][i] = v;
	return ret;
}
template<class T>
mat<T> operator+(mat<T> a, mat<T> b){
	assert(a.size() == b.size());
	if(a.size()) assert(a[0].size() == b[0].size());
	
	rep(i, a.size()) rep(j, a[0].size()){
		a[i][j] += b[i][j];
		if(a[i][j] >= mod) a[i][j] -= mod;
	}
	
	return a;
}
template<class T>
mat<T> operator-(mat<T> a, mat<T> b){
	assert(a.size() == b.size());
	if(a.size()) assert(a[0].size() == b[0].size());
	
	rep(i, a.size()) rep(j, a[0].size()){
		a[i][j] += mod - b[i][j];
		if(a[i][j] >= mod) a[i][j] -= mod;
	}
	
	return a;
}
template<class T>
mat<T> operator*(mat<T> a, mat<T> b){
	if(a.empty() || b.empty()) return mat<T>();
	int n = a.size();
	int m = b[0].size();
	int len = a[0].size();
	assert(len == b.size());
	mat<T>ret(n);
	rep(i, n) ret[i] = vc<T>(m);
	
	rep(i, n) rep(j, len) rep(k, m){
		ll add = (ll)(a[i][j]) * b[j][k];
		add %= mod;
		ret[i][k] += add;
		if(ret[i][k] >= mod) ret[i][k] -= mod;
	}
	return ret;
}
template<class T>
mat<T> modpow(mat<T> a, int n){
	if(a.empty()) return mat<T>();
	mat<T>ret = make_e(a.size(), a[0].size(), (T)(1));
	while(n){
		if(n&1) ret = ret * a;
		a = a * a;
		n /= 2;
	}
	return ret;
}
template<class T>
ll det(mat<T>m){
	int n = m.size();
	assert(n > 0 && m[0].size() == n);
	
	ll ret = 1;
	for(int j=0;j<n;j++){
		int pivot=-1;
		for(int i=j;i<n;i++){
			if(m[i][j]){
				pivot = i; break;
			}
		}
		if(pivot == -1) return 0;
     	if(j != pivot){
			rep(k,n) swap(m[j][k],m[pivot][k]);
        	ret = -ret;
        }
        ret = ret * m[j][j] % mod;
		ll rev = modpow(m[j][j],mod-2);
		for(int i=j+1;i<n;i++){
			if(m[i][j]){
				ll gg = (ll)m[i][j]*rev%mod;
				for(int g=j;g<n;g++){
					m[i][g] -= (ll)m[j][g]*gg%mod;
					if(m[i][g]<0) m[i][g]+=mod;
				}
			}
		}
	}
	return (mod+ret)%mod;
}
//vc<vc<int>>bs;
template<class T>
vc<T>AxB(mat<T>A, vc<T>b){
	int r = A.size(), c = A[0].size();
	assert(b.size() == r);
	
	int nxt = 0, free = 0;
	vc<T>ret(c, 0);
	
	rep(j, c){
		int pivot = -1;
		for(int i=nxt;i<r;i++){
			if(A[i][j]){
				pivot = i; break;
			}
		}
		if(pivot == -1){
			free ++;
			continue;
		}
     	if(nxt != pivot){
			rep(k, c) swap(A[nxt][k],A[pivot][k]);
        	swap(b[nxt], b[pivot]);
        }
		ll rev = modpow(A[nxt][j],mod-2);
		for(int g=j;g<c;g++){
			A[nxt][g] = A[nxt][g]*rev%mod;
		}
		b[nxt] = b[nxt]*rev%mod;
		rep(i, r){
			if(i != nxt and A[i][j]){
				T gg = A[i][j];
				for(int g=j;g<c;g++){
					A[i][g] -= A[nxt][g]*gg%mod;
					if(A[i][g]<0) A[i][g]+=mod;
				}
				b[i] -= b[nxt]*gg%mod;
				if(b[i]<0) b[i]+=mod;
			}
		}
		nxt ++;
	}
	vc<int>fix(c, 0);
	vc<int>top(nxt);
	rep(i, nxt){
		rep(j, c){
			if(A[i][j] != 0){
				top[i] = j;
				fix[j] = 1;
				ret[j] = b[i];
				break;
			}
		}
	}
	//error
	for(int i=nxt;i<r;i++) if(b[i] != 0) return vc<T>();
	//get basis
	/*vc<vc<T>>basis(free);
	int id = 0;
	rep(j, c){
		if(fix[j] == 1) continue;
		vc<T>tmp(c, 0);
		tmp[j] = 1;
		for(int i=0;i<nxt;i++){
			tmp[top[i]] = (mod-A[i][j])%mod;
		}
		basis[id++] = tmp;
	}
	bs = basis;*/
	return ret;
}
//A...n*n matrix or n*2n matrix, left = A and right = E
template<class T>
mat<T>inv(mat<T>A){
	int r = A.size(), c = A[0].size();
	if(c == r){
		rep(i, r){
			A[i].resize(r+r, 0);
			rep(j, r) A[i][r+j] = (i == j);
		}
		c += r;
	}
	assert(c == r+r);
	rep(j, r){
		int pivot = -1;
		for(int i=j;i<r;i++){
			if(A[i][j]){
				pivot = i; break;
			}
		}
		if(pivot == -1){
			return mat<T>();
		}
     	if(j != pivot){
			rep(k, c) swap(A[j][k],A[pivot][k]);
        }
		ll rev = modpow(A[j][j],mod-2);
		for(int g=j;g<c;g++){
			A[j][g] = A[j][g]*rev%mod;
		}
		rep(i, r){
			if(i != j and A[i][j]){
				T gg = A[i][j];
				for(int g=j;g<c;g++){
					A[i][g] -= A[j][g]*gg%mod;
					if(A[i][g]<0) A[i][g]+=mod;
				}
			}
		}
	}
	mat<int>ret = make_e(r, r, 0LL);
	rep(i, r) rep(j, r){
		assert(A[i][j] == (i==j));
		ret[i][j] = A[i][r+j];
	}
	return ret;
}
int a, b, n, t[1005];
void solve(){
	cin>>a>>b>>n;repn(i,n)cin>>t[i];
	mat<int>p = make_e(3, 3, 1LL);
	auto q = make_e(3, 3, 0LL);
	p[2][0] = a;
	p[2][1] = b;
	q[0][2] = 1;
	q[1][0] = 1;
	auto pq = q * p;
	mat<int>beg = make_e(3, 1, 0LL);

	repn(i,n){
		beg[0][0] = 1;
		beg[1][0] = 1;
		beg[2][0] = 0;
		bool f = t[i]%2;
		t[i] /= 2;
		auto zan = modpow(pq, t[i]);
		if(f) zan = p * zan;
		beg = zan * beg;
		int ans = 0;
		rep(i, 3) add(ans, beg[i][0]);
		o(ans);
	}
}
signed main(){
	cin.tie(0);
	ios::sync_with_stdio(0);
	cout<<fixed<<setprecision(20);
	int t; t = 1; //cin >> t;
	while(t--) solve();
}

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結果

テストケース

ソースコード