Submission #391568

#TimeUsernameProblemLanguageResultExecution timeMemory
391568BorisBarcaTravelling Merchant (APIO17_merchant)C++14
100 / 100
103 ms4316 KiB
/*
$$$$$$$\                      $$\           $$$$$$$\
$$  __$$\                     \__|          $$  __$$\
$$ |  $$ | $$$$$$\   $$$$$$\  $$\  $$$$$$$\ $$ |  $$ | $$$$$$\   $$$$$$\   $$$$$$$\ $$$$$$\
$$$$$$$\ |$$  __$$\ $$  __$$\ $$ |$$  _____|$$$$$$$\ | \____$$\ $$  __$$\ $$  _____|\____$$\
$$  __$$\ $$ /  $$ |$$ |  \__|$$ |\$$$$$$\  $$  __$$\  $$$$$$$ |$$ |  \__|$$ /      $$$$$$$ |
$$ |  $$ |$$ |  $$ |$$ |      $$ | \____$$\ $$ |  $$ |$$  __$$ |$$ |      $$ |     $$  __$$ |
$$$$$$$  |\$$$$$$  |$$ |      $$ |$$$$$$$  |$$$$$$$  |\$$$$$$$ |$$ |      \$$$$$$$\\$$$$$$$ |
\_______/  \______/ \__|      \__|\_______/ \_______/  \_______|\__|       \_______|\_______|
*/
#include <bits/stdc++.h>
#include <ext/pb_ds/detail/standard_policies.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

#define PB push_back
#define MP make_pair
#define INS insert
#define LB lower_bound
#define UB upper_bound
#define pii pair <int,int>
#define pll pair <long long, long long>
#define X first
#define Y second
#define _ << " " <<
#define sz(x) (int)x.size()
#define all(a) (a).begin(),(a).end()
#define FOR(i, a, b) for (int i = (a); i < (b); ++i)
#define FORD(i, a, b) for (int i = (a); i > (b); --i)
#define FORA(i, x) for (auto &i : x)
#define REP(i, n) FOR(i, 0, n)
#define BITS(x) __builtin_popcount(x)
#define SQ(a) (a) * (a)
#define TRACE(x) cout << #x " = " << (x) << '\n';
#define YES cout << "YES\n"
#define NO cout << "NO\n"
#define umap unordered_map

typedef long long ll;
typedef long double ld;
typedef vector <int> vi;
typedef vector <pii> vpi;
typedef vector <ll> vll;
typedef vector <pll> vpl;
typedef vector <double> vd;
typedef vector <ld> vld;
typedef vector<string> vs;
typedef tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>ordered_set;
//find_by_order -> kti najmanji
//order_of_key -> koliko ima manjih od x
//((float) t)/CLOCKS_PER_SEC

const int MOD = 1e9 + 7;
const double PI = acos(-1);
const int INF = 1e9 + 10;
const ll INFL = 1e18 + 10;
const int ABC = 30;
const int dx[] = {-1, 1, 0, 0};
const int dy[] = {0, 0, -1, 1};
const int dox[] = {-1, 1, 0, 0, -1, -1, 1, 1};
const int doy[] = {0, 0, -1, 1, -1, 1, -1, 1};

inline int sum(int a, int b){
	if (a + b < 0)
		return (a + b + MOD) % MOD;
	return (a + b) % MOD;
}

inline void add(int &a, int b){
	a = sum(a, b);
}

inline int mul(ll a, ll b){
	return ((a % MOD) * ((ll)b % MOD)) % MOD;
}

inline int sub(int a, int b){
	return (a - b + MOD) % MOD;
}

inline int fast_pot(ll pot, ll n){
	ll ret = 1;
	while (n){
		if (n & 1LL)
			ret = (ret * pot) % MOD;
		pot = (pot * pot) % MOD;
		n >>= 1LL;
	}
	return ret;
}

inline int divide(int a, int b){
	return mul(a, fast_pot(b, MOD - 2));
}

ll lcm(ll a, ll b){
	return abs(a * b) / __gcd(a, b);
}

inline int ccw(pii a, pii b, pii c) {
   return a.X * (b.Y - c.Y) + b.X * (c.Y - a.Y) + c.X * (a.Y - b.Y);
}


inline int CCW(pii A, pii B, pii C){
	double val = ccw(A, B, C);
	double eps = max(max(abs(A.X), abs(A.Y)), max(max(abs(B.X), abs(B.Y)), max(abs(C.X), abs(C.Y)))) / 1e9;
	if (val <= -eps)
		return -1;
	if (val >= eps)
		return 1;
	return 0;
}

void to_upper(string &x){
	REP(i, sz(x))
		x[i] = toupper(x[i]);
}

void to_lower(string &x){
	REP(i, sz(x))
		x[i] = tolower(x[i]);
}

string its(ll x){
	if (x == 0)
		return "0";
	string ret = "";
	while (x > 0){
		ret += (x % 10) + '0';
		x /= 10;
	}
	reverse(all(ret));
	return ret;
}

ll sti(string s){
	ll ret = 0;
	REP(i, sz(s)){
		ret *= 10;
		ret += (s[i] - '0');
	}
	return ret;
}

const int N = 105;
const int K = 1005;

ll n, m, k, b[N][K], s[N][K], dist[N][N], profit[N][N], ans[N][N];

bool ok(ll x){
	REP(i, n){
		REP(j, n)
			ans[i][j] = -INFL;
	}

	REP(i, n){
		REP(j, n){
			if (dist[i][j] == INFL)
				continue;
			ans[i][j] = profit[i][j] - x * dist[i][j];
			//cout << ans[i][j] << ' ';
		}
		//cout << '\n';
		ans[i][i] = -INFL;
	}

	REP(l, n)
		REP(i, n)
			REP(j, n)
				ans[i][j] = max(ans[i][j], ans[i][l] + ans[l][j]);

	/*REP(i, n){
		REP(j, n)
			cout << ans[i][j] << ' ';
		cout << '\n';
	}*/

	REP(i, n){
		//cout << ans[i][i] << '\n';
		if (ans[i][i] >= 0)
			return true;
	}
	return false;
}

int main () {
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);

	cin >> n >> m >> k;
	REP(i, n){
		REP(j, k)
			cin >> b[i][j] >> s[i][j];
	}

	REP(i, n){
		REP(j, n)
			dist[i][j] = INFL;
		dist[i][i] = 0;
	}	

	REP(i, m){
		ll x, y, t; cin >> x >> y >> t;
		x--, y--;
		dist[x][y] = t;
	}

	REP(k, n)
		REP(i, n)
			REP(j, n)
				dist[i][j] = min(dist[i][j], dist[i][k] + dist[k][j]);

	REP(i, n){
		REP(j, n){
			REP(l, k)
				if (~b[i][l] && ~s[j][l])
					profit[i][j] = max(profit[i][j], -b[i][l] + s[j][l]);
			//cout << profit[i][j] << ' ';
		}
		//cout << '\n';
	}

	ll lo = 0, hi = 1e9;
	while (lo < hi){
		ll mid = (lo + hi + 1) / 2;
		//cout << mid _ ok(mid) << '\n';
		if (ok(mid))
			lo = mid;
		else
			hi = mid - 1;
	}

	cout << lo << '\n';

	return 0;
}
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