結果

問題 No.1919 Many Monster Battles
ユーザー heno239heno239
提出日時 2022-04-29 22:04:05
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 355 ms / 2,000 ms
コード長 6,208 bytes
コンパイル時間 2,528 ms
コンパイル使用メモリ 170,272 KB
実行使用メモリ 23,996 KB
最終ジャッジ日時 2024-06-29 03:31:27
合計ジャッジ時間 10,848 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 19 ms
11,520 KB
testcase_01 AC 20 ms
11,392 KB
testcase_02 AC 20 ms
11,520 KB
testcase_03 AC 21 ms
11,648 KB
testcase_04 AC 21 ms
11,648 KB
testcase_05 AC 22 ms
11,520 KB
testcase_06 AC 20 ms
11,648 KB
testcase_07 AC 21 ms
11,648 KB
testcase_08 AC 22 ms
11,520 KB
testcase_09 AC 21 ms
11,520 KB
testcase_10 AC 21 ms
11,648 KB
testcase_11 AC 22 ms
11,520 KB
testcase_12 AC 22 ms
11,520 KB
testcase_13 AC 355 ms
23,868 KB
testcase_14 AC 352 ms
23,860 KB
testcase_15 AC 351 ms
23,864 KB
testcase_16 AC 353 ms
23,864 KB
testcase_17 AC 344 ms
23,860 KB
testcase_18 AC 333 ms
22,656 KB
testcase_19 AC 327 ms
22,528 KB
testcase_20 AC 325 ms
22,596 KB
testcase_21 AC 331 ms
22,528 KB
testcase_22 AC 331 ms
22,656 KB
testcase_23 AC 239 ms
23,860 KB
testcase_24 AC 236 ms
23,996 KB
testcase_25 AC 236 ms
23,864 KB
testcase_26 AC 233 ms
23,992 KB
testcase_27 AC 193 ms
22,144 KB
testcase_28 AC 188 ms
22,344 KB
testcase_29 AC 187 ms
22,144 KB
testcase_30 AC 191 ms
22,208 KB
testcase_31 AC 315 ms
23,996 KB
testcase_32 AC 309 ms
23,992 KB
testcase_33 AC 188 ms
20,608 KB
testcase_34 AC 188 ms
20,748 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#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";
}
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;
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 };
//-----------------------------------------

template<typename T>
struct BIT {
private:
	vector<T> node; int n;
public:
	BIT(int n_) {
		n = n_; node.resize(n, 0);
	}
	//0-indexed
	void add(int a, T w) {
		for (int i = a; i < n; i |= i + 1)node[i] += w;
	}
	//[0,a)
	T sum(int a) {
		T ret = 0;
		for (int i = a - 1; i >= 0; i = (i & (i + 1)) - 1)ret += node[i];
		return ret;
	}
	//[a,b)
	T sum(int a, int b) {
		return sum(b) - sum(a);
	}
};

modint calc(vector<P> vp) {
	modint ans = 0;
	int n = vp.size();
	vector<int> c(n);
	rep(i, n) {
		c[i] = vp[i].second - vp[i].first;
	}
	vector<int> vc = c;
	sort(all(vc)); vc.erase(unique(all(vc)), vc.end());
	rep(i, n)c[i] = lower_bound(all(vc), c[i])-vc.begin();
	BIT<modint> sbt(vc.size()), cbt(vc.size());
	rep(i, n) {
		modint cnt = cbt.sum(0, c[i]);
		modint sum = sbt.sum(0, c[i]);
		ans += cnt * (modint)vp[i].second - sum;
		cbt.add(c[i], 1);
		sbt.add(c[i], vp[i].second);
	}

	vector<int> d(n);
	rep(i, n)d[i] = vp[i].second + vp[i].first;
	vector<int> vd = d;
	sort(all(vd)); vd.erase(unique(all(vd)), vd.end());
	rep(i, n)d[i] = lower_bound(all(vd), d[i]) - vd.begin();
	BIT<modint> sdt(vd.size()), cdt(vd.size());
	rep(i, n) {
		modint cnt = cdt.sum(d[i] + 1, vd.size());
		modint sum = sdt.sum(d[i] + 1, vd.size());
		ans += sum - cnt * (modint)vp[i].second;
		cdt.add(d[i], 1);
		sdt.add(d[i], vp[i].second);
	}
	return ans;
}

void solve() {
	int n; cin >> n;
	vector<int> a(n); rep(i, n)cin >> a[i];
	vector<int> b(n); rep(i, n)cin >> b[i];
	vector<P> vl(n), vr(n);
	rep(i, n) {
		vl[i] = { a[i],b[i] };
		vr[i] = { b[i],a[i] };
	}
	sort(all(vl)); sort(all(vr));
	modint ans1 = calc(vr);
	modint ans2 = calc(vl);
	ans1 *= 2;
	ans2 *= 2;
	cout << ans1 << " " << ans2 << "\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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