#718458 (C++17) No.1756 Rider's Triangle

提出ソース

結果

問題	No.1756 Rider's Triangle
ユーザー	heno239
提出日時	2021-11-20 13:39:09
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	2 ms / 2,000 ms
コード長	4,544 bytes
コンパイル時間	1,512 ms
コンパイル使用メモリ	148,104 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-06-11 07:42:16
合計ジャッジ時間	2,371 ms
ジャッジサーバーID （参考情報）	judge5 / judge1

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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 6,812 KB
testcase_01	AC	2 ms 6,940 KB
testcase_02	AC	1 ms 6,940 KB
testcase_03	AC	1 ms 6,944 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	1 ms 6,944 KB
testcase_06	AC	2 ms 6,944 KB
testcase_07	AC	1 ms 6,940 KB
testcase_08	AC	2 ms 6,940 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	2 ms 6,940 KB
testcase_11	AC	2 ms 6,940 KB
testcase_12	AC	1 ms 6,944 KB
testcase_13	AC	1 ms 6,940 KB
testcase_14	AC	2 ms 6,944 KB
testcase_15	AC	2 ms 6,940 KB
testcase_16	AC	2 ms 6,944 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	2 ms 6,944 KB
testcase_19	AC	1 ms 6,940 KB
testcase_20	AC	1 ms 6,940 KB
testcase_21	AC	2 ms 6,940 KB
testcase_22	AC	2 ms 6,940 KB
testcase_23	AC	2 ms 6,944 KB
testcase_24	AC	1 ms 6,940 KB
testcase_25	AC	2 ms 6,940 KB
testcase_26	AC	1 ms 6,944 KB
testcase_27	AC	2 ms 6,944 KB
testcase_28	AC	1 ms 6,944 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;
const ll mod = 998244353;
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;
typedef double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-4;
const ld pi = acosl(-1.0);

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);
}
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;
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	operator int() { return 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 << 10;
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];
}


int dx[4] = { 1,0,-1,0 };
int dy[4] = { 0,1,0,-1 };

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;
}

void solve() {
	int a, b; ll n; cin >> a >> b >> n;
	if (a == b||a==0) {
		cout << 0 << "\n"; return;
	}
	ll mi = INF;
	modint ans = 0;
	vector<P> vp = { {a,b},{b,a},{a,-b},{b,-a} };
	rep(i, 4)rep(j, 4)rep(k, 4) {
		if (i == j || j == k || k == i)continue;
		ll s[3] = { vp[i].first,vp[j].first,vp[k].first };
		ll t[3] = { vp[i].second,vp[j].second,vp[k].second };
		ll x = s[2] * t[1] - s[1] * t[2];
		ll y = s[0] * t[2] - s[2] * t[0];
		ll z = s[1] * t[0] - s[0] * t[1];
		ll g = gcd(gcd(x, y), z);
		x /= g;
		y /= g;
		z /= g;
		assert(x != 0 && y != 0 && z != 0);
		ll cx[3], cy[3];
		cx[0] = 0, cy[0] = 0;
		ll dx1 = x * s[0];
		ll dy1 = x * t[0];
		ll dx2 = -z * s[2];
		ll dy2 = -z * t[2];
		cx[1] = dx1, cx[2] = dx2, cy[1] = dy1, cy[2] = dy2;
		ll area = abs(dx1 * dy2 - dx2 * dy1);
		modint num = 0;
		ll lenx = max({ cx[0],cx[1],cx[2] }) - min({ cx[0],cx[1],cx[2] });
		ll leny = max({ cy[0],cy[1],cy[2] }) - min({ cy[0],cy[1],cy[2] });
		num = ((modint)n - (modint)lenx) * ((modint)n - (modint)leny);
		if (area < mi) {
			mi = area;
			ans = num;
		}
		else if (area == mi) {
			ans += num;
		}
	}
	ans /= 3;
	cout << ans << "\n";
}



signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	//init();
	//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