Submission #79765

#	Time	Username	Problem	Language	Result	Execution time	Memory
79765		qkxwsm	Jakarta Skyscrapers (APIO15_skyscraper)	C++14	100 / 100	221 ms	66888 KiB

skyscraper

/*
    _____
  .'     '.
 /  0   0  \
|     ^     |
|  \     /  |
 \  '---'  /
  '._____.'
*/
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;

random_device(rd);
mt19937 rng(rd());
const long long FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();

struct custom_hash
{
	template<class T>
    unsigned long long operator()(T v) const
	{
		unsigned long long x = v;
		x += FIXED_RANDOM; x += 11400714819323198485ull;
        x = (x ^ (x >> 30)) * 13787848793156543929ull;
        x = (x ^ (x >> 27)) * 10723151780598845931ull;
        return x ^ (x >> 31);
    }
};

template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<class T, class U> using hash_table = gp_hash_table<T, U, custom_hash>;

template<class T>
void readi(T &x)
{
	x = 0;
	bool negative = false;
	char c = ' ';
	while (c < '-')
	{
		c = getchar();
	}
	if (c == '-')
	{
		negative = true;
		c = getchar();
	}
	while (c >= '0')
	{
		x = x * 10 + (c - '0');
		c = getchar();
	}
	if (negative)
	{
		x = -x;
	}
}
template<class T>
void printi(T output)
{
	if (output == 0)
	{
		putchar('0');
		return;
	}
	if (output < 0)
	{
		putchar('-');
		output = -output;
	}
	int buf[20], n = 0;
	while(output)
	{
		buf[n] = ((output % 10));
		output /= 10;
		n++;
	}
	for (n--; n >= 0; n--)
	{
		putchar(buf[n] + '0');
	}
	return;
}
template<class T>
void ckmin(T &a, T b)
{
	a = min(a, b);
}
template<class T>
void ckmax(T &a, T b)
{
	a = max(a, b);
}
long long expo(long long a, long long e, long long mod)
{
	return ((e == 0) ? 1 : ((expo(a * a % mod, e >> 1, mod)) * ((e & 1) ? a : 1) % mod));
}
template<class T, class U>
T nmod(T &x, U mod)
{
	if (x >= mod) x -= mod;
}
template<class T>
T gcd(T a, T b)
{
	return (b ? gcd(b, a % b) : a);
}
template<class T>
T randomize(T mod)
{
	return (uniform_int_distribution<T>(0, mod - 1))(rng);
}

#define y0 ___y0
#define y1 ___y1
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define PF push_front
#define fi first
#define se second
#define debug(x) cerr << #x << " = " << x << endl;
#define sz(x) ((int) (x.size()))

const long double PI = 4.0 * atan(1.0);
const long double EPS = 1e-9;

#define MAGIC 347
#define SINF 10007
#define CO 1000007
#define INF 1000000007
#define BIG 1000000931
#define LARGE 1696969696967ll
#define GIANT 2564008813937411ll
#define LLINF 2696969696969696969ll
#define MAXN 30013

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pdd;

int N, M;
pii arr[MAXN];
vector<pii> edge[MAXN];
vector<int> vals[MAXN];
int S, T;
int dist[MAXN];
priority_queue<pii, vector<pii>, greater<pii> > pq;

int32_t main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	// cout << fixed << setprecision(10);
	// cerr << fixed << setprecision(10);
	// freopen ("file.in", "r", stdin);
	// freopen ("file.out", "w", stdout);
	cin >> N >> M;
	for (int i = 0; i < M; i++)
	{
		//loc, mod
		cin >> arr[i].fi >> arr[i].se;
		vals[arr[i].fi].PB(arr[i].se);
	}
	S = arr[0].fi; T = arr[1].fi;
	for (int i = 0; i < N; i++)
	{
		sort(vals[i].begin(), vals[i].end());
		vals[i].erase(unique(vals[i].begin(), vals[i].end()), vals[i].end());
	}
	for (int i = 0; i < N; i++)
	{
		for (int v : vals[i])
		{
			// cerr << i << ' ' << v << endl;
			for (int j = i + v; j < N; j += v)
			{
				// cerr << "addedge " << i << ' ' << j << endl;
				edge[i].PB({(j - i) / v, j});
				if (binary_search(vals[j].begin(), vals[j].end(), v))
				{
					break;
				}
			}
			for (int j = i - v; j >= 0; j -= v)
			{
				edge[i].PB({(i - j) / v, j});
				if (binary_search(vals[j].begin(), vals[j].end(), v))
				{
					break;
				}
			}
		}
	}
	for (int i = 0; i < N; i++)
	{
		dist[i] = INF;
	}
	dist[S] = 0;
	pq.push({0, S});
	while(!pq.empty())
	{
		int d = pq.top().fi, u = pq.top().se;
		pq.pop();
		if (u == T)
		{
			cout << d << '\n';
			return 0;
		}
		// cerr << u << ' ' << dist[u] << ' ' << d << endl;
		if (dist[u] != d)
		{
			continue;
		}
		// cerr << d << ' ' << u << endl;
		for (pii p : edge[u])
		{
			int nd = d + p.fi, v = p.se;
			if (dist[v] > nd)
			{
				dist[v] = nd;
				pq.push({nd, v});
			}
		}
	}
	cout << (dist[T] == INF ? -1 : dist[T]) << '\n';
	// cerr << "time elapsed = " << (clock() / (CLOCKS_PER_SEC / 1000)) << " ms" << endl;
	return 0;
}

• Subtask 1: 10 / 10
• Subtask 2: 12 / 12
• Subtask 3: 14 / 14
• Subtask 4: 21 / 21
• Subtask 5: 43 / 43