#755379 (C++17) No.1911 Alternately Coloring

提出ソース

結果

問題	No.1911 Alternately Coloring
ユーザー	heno239
提出日時	2022-04-22 21:30:28
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	481 ms / 4,000 ms
コード長	6,212 bytes
コンパイル時間	2,475 ms
コンパイル使用メモリ	172,808 KB
実行使用メモリ	11,972 KB
最終ジャッジ日時	2024-06-24 02:34:17
合計ジャッジ時間	10,734 ms
ジャッジサーバーID （参考情報）	judge5 / judge3

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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	9 ms 11,648 KB
testcase_01	AC	8 ms 11,648 KB
testcase_02	AC	8 ms 11,588 KB
testcase_03	AC	9 ms 11,776 KB
testcase_04	AC	9 ms 11,648 KB
testcase_05	AC	8 ms 11,648 KB
testcase_06	AC	410 ms 11,776 KB
testcase_07	AC	322 ms 11,776 KB
testcase_08	AC	319 ms 11,716 KB
testcase_09	AC	398 ms 11,720 KB
testcase_10	AC	292 ms 11,712 KB
testcase_11	AC	347 ms 11,776 KB
testcase_12	AC	398 ms 11,716 KB
testcase_13	AC	346 ms 11,776 KB
testcase_14	AC	259 ms 11,776 KB
testcase_15	AC	335 ms 11,716 KB
testcase_16	AC	328 ms 11,904 KB
testcase_17	AC	346 ms 11,712 KB
testcase_18	AC	239 ms 11,844 KB
testcase_19	AC	273 ms 11,776 KB
testcase_20	AC	304 ms 11,776 KB
testcase_21	AC	165 ms 11,776 KB
testcase_22	AC	392 ms 11,588 KB
testcase_23	AC	481 ms 11,972 KB
testcase_24	AC	148 ms 11,712 KB
testcase_25	AC	167 ms 11,848 KB
testcase_26	AC	270 ms 11,840 KB
testcase_27	AC	307 ms 11,648 KB
testcase_28	AC	94 ms 11,776 KB
testcase_29	AC	235 ms 11,720 KB
testcase_30	AC	8 ms 11,648 KB

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ソースコード

raw source code

#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<unordered_set>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
#include<array>
#include<chrono>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 998244353;
//constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;

#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;

template<typename T>
void chmin(T& a, T b) {
	a = min(a, b);
}
template<typename T>
void chmax(T& a, T b) {
	a = max(a, b);
}
template<typename T>
void cinarray(vector<T>& v) {
	rep(i, v.size())cin >> v[i];
}
template<typename T>
void coutarray(vector<T>& v) {
	rep(i, v.size()) {
		if (i > 0)cout << " "; cout << v[i];
	}
	cout << "\n";
}
void pout(P& p) {
	cout << p.first << " " << p.second << "\n";
}
void pout(LP& p) {
	cout << p.first << " " << p.second << "\n";
}
ll mod_pow(ll x, ll n, ll m = mod) {
	if (n < 0) {
		ll res = mod_pow(x, -n, m);
		return mod_pow(res, m - 2, m);
	}
	if (abs(x) >= m)x %= m;
	if (x < 0)x += m;
	//if (x == 0)return 0;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	int n;
	modint() :n(0) { ; }
	modint(ll m) {
		if (m < 0 || mod <= m) {
			m %= mod; if (m < 0)m += mod;
		}
		n = m;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
bool operator<(modint a, modint b) { return a.n < b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }
modint operator/=(modint& a, modint b) { a = a / b; return a; }
const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}
modint combP(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	a = abs(a); b = abs(b);
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}
typedef long double ld;
typedef pair<ld, ld> LDP;
void pout(LDP& p) {
	cout << p.first << " " << p.second << "\n";
}
const ld eps = 1e-8;
const ld pi = acosl(-1.0);
template<typename T>
void addv(vector<T>& v, int loc, T val) {
	if (loc >= v.size())v.resize(loc + 1, 0);
	v[loc] += val;
}
/*const int mn = 100005;
bool isp[mn];
vector<int> ps;
void init() {
	fill(isp + 2, isp + mn, true);
	for (int i = 2; i < mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j < mn; j += i) {
			isp[j] = false;
		}
	}
}*/

//[,val)
template<typename T>
auto prev_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	if (res == st.begin())return st.end();
	res--; return res;
}

//[val,)
template<typename T>
auto next_itr(set<T>& st, T val) {
	auto res = st.lower_bound(val);
	return res;
}
using mP = pair<modint, modint>;

const string drul = "DRUL";
//DRUL
int dx[4] = { 1,0,-1,0 };
int dy[4] = { 0,1,0,-1 };
//-----------------------------------------




void solve(){
	int n, m; cin >> n >> m;
	vector<vector<int>> G(n);
	rep(i, m) {
		int a, b; cin >> a >> b; a--; b--;
		G[a].push_back(b);
		G[b].push_back(a);
	}
	vector<ll> r(n); rep(i, n)cin >> r[i];
	vector<ll> b(n); rep(i, n)cin >> b[i];
	vector<vector<ll>> cost(n, vector<ll>(2));
	rep(i, n) {
		cost[i][0] = r[i];
		cost[i][1] = b[i];
	}
	vector<ll> obj(n);
	rep(i, n)obj[i] = max(r[i], b[i]);
	ll ans = -INF;
	ll sum = 0;
	rep(i, n)sum += obj[i];
	rep(i, n) {
		rep(j, 2) {
			vector<ll> dist(2 * n, INF);
			dist[i+j*n] = obj[i]-cost[i][j];
			priority_queue<LP, vector<LP>, greater<LP>> q;
			q.push({ 0,i+j*n });
			while (!q.empty()) {
				LP p = q.top(); q.pop();
				int id = p.second;
				if (p.first > dist[id])continue;
				int b = 0;
				if (id >= n) {
					id -= n; b = 1;
				}
				for (int to : G[id]) {
					int ni = to + (b ^ 1) * n;
					ll nd = p.first + obj[to]-cost[to][b ^ 1];
					if (nd < dist[ni]) {
						dist[ni] = nd;
						q.push({ nd,ni });
					}
				}
			}
			for (int to : G[i]) {
				int ni = to + j * n;
				chmax(ans, sum - dist[ni]);
			}
		}
	}
	//二部グラフ用
	vector<int> col(n);
	vector<bool> used(n);
	queue<int> q;
	q.push(0); col[0] = 0;
	used[0] = true;
	while (!q.empty()) {
		int id = q.front(); q.pop();
		for (int to : G[id]) {
			if (used[to])continue;
			used[to] = true;
			col[to] = col[id] ^ 1;
			q.push(to);
		}
	}
	rep(j, 2) {
		ll s = 0;
		rep(i, n) {
			s += cost[i][j ^ col[i]];
		}
		chmax(ans, s);
	}
	cout << ans << "\n";
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	//init();
	//while(true)
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}

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結果

テストケース

ソースコード