Submission #671658

# Submission time Handle Problem Language Result Execution time Memory
671658 2022-12-13T12:36:22 Z Radin_Zahedi2 Palembang Bridges (APIO15_bridge) C++17
22 / 100
70 ms 3432 KB
#include<bits/stdc++.h>
//#pragma GCC optimize("O2")
using namespace std;
using ll = long long;
using ld = long double;
#define pb push_back
#define mp make_pair
#define fi first
#define se second
#define sz(x) (int)x.size()
#define endl '\n'
const int mod = 1e9 + 7;
const int inf = 2e9 + 5;
const ll linf = 9e18 + 5;


int n, k;
const int N = 1e5 + 5;
ll arr[N][2];
pair<int, int> have[2 * N];

ll base = 0;

bool cmp(pair<int, int> &a, pair<int, int> &b) {
	return mp(arr[a.fi][a.se], a.se) < mp(arr[b.fi][b.se], b.se);
}

void init() {
}

void input() {
	cin >> k >> n;

	for (int i = 1; i <= n; i++) {
		char a, b;
		cin >> a >> arr[i][0] >> b >> arr[i][1];

		base += abs(arr[i][0] - arr[i][1]);

		if (a == b) {
			i--;
			n--;
		}
		else {
			if (arr[i][0] > arr[i][1]) {
				swap(arr[i][0], arr[i][1]);
			}
			base++;
		}
	}
}

void solve1() {
	if (k != 1) {
		return;
	}

	if (!n) {
		cout << base;
		return;
	}


	for (int i = 1; i <= n; i++) {
		have[2 * i - 1] = mp(i, 0);
		have[2 * i] = mp(i, 1);
	}
	sort(have + 1, have + 2 * n + 1, cmp);


	ll sum = 0;
	int cnt = -n + 1;
	for (int i = 2; i <= 2 * n; i++) {
		if (have[i].se == 0) {
			sum += arr[have[i].fi][have[i].se];
		}
	}

	ll ans = linf;
	for (int i = 1; i <= 2 * n; i++) {
		int x = arr[have[i].fi][have[i].se];

		ll now = sum + 1ll * cnt * x;
		ans = min(ans, now);

		if (have[i].se == 1) {
			cnt++;
			sum -= arr[have[i].fi][have[i].se];
		}

		if (i < 2 * n && have[i + 1].se == 0) {
			cnt++;
			sum -= arr[have[i + 1].fi][have[i + 1].se];
		}
	}

	cout << base + 2 * ans;
}

int x(int i) {
	return arr[have[i].fi][have[i].se];
}

void solve2() {
	if (k != 2) {
		return;
	}


	for (int i = 1; i <= n; i++) {
		have[2 * i - 1] = mp(i, 0);
		have[2 * i] = mp(i, 1);
	}
	sort(have + 1, have + 2 * n + 1, cmp);


	ll ans = linf;

	int cnt1 = 0;
	int cnt2 = 0;
	ll sum = 0;
	for (int i = 1; i <= 2 * n; i++) {
		if (x(i) > x(1) && have[i].se == 0) {
			sum += x(i);
			cnt2--;
		}
	}

	set<pair<int, int>> betw;
	int i = 1;
	int j = 1;
	while (i < 2 * n) {
		ll now = sum + 1ll * cnt1 * x(i) + 1ll * cnt2 * x(j);
		ans = min(ans, now);

//		cout << x(i) << ' ' << have[i].fi << ' ' << have[i].se << ' ' << i << ' ' << j << ' ' << now << endl;
		while (j < 2 * n && cnt2 <= 0) {
			if (have[j].se == 1) {
				int ind = have[j].fi;
				if (x(i) < arr[ind][0]) {
					betw.insert(mp(arr[ind][0] + arr[ind][1], ind));

					sum -= arr[ind][1];
					cnt2++;
				}
			}

			j++;

			if (have[j].se == 0) {
				sum -= x(j);
				cnt2++;
			}

			while (!betw.empty()) {
				if (betw.begin()->fi > x(i) + x(j)) {
					break;
				}
				
				sum += arr[betw.begin()->se][1];
				cnt2--;

				sum += arr[betw.begin()->se][0];
				cnt1--;

				betw.erase(betw.begin());
			}
		}


		if (have[i].se == 1) {
			sum -= x(i);
			cnt1++;
		}

		i++;

		if (have[i].se == 0) {
			sum -= x(i);
			cnt1++;
		}


		while (!betw.empty()) {
			if (betw.begin()->fi > x(i) + x(j)) {
				break;
			}
				
			sum += arr[betw.begin()->se][1];
			cnt2--;

			sum += arr[betw.begin()->se][0];
			cnt1--;

			betw.erase(betw.begin());
		}
	}


	cout << base + 2 * ans;
}

void output() {
}

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

	int number_of_testcases = 1;
	//cin >> number_of_testcases;
	while (number_of_testcases--) {
		init();

		input();

		solve1();
		solve2();

		output();
	}

	return 0;
}

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 284 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 30 ms 3360 KB Output is correct
13 Correct 70 ms 3432 KB Output is correct
14 Correct 46 ms 3116 KB Output is correct
15 Correct 32 ms 2120 KB Output is correct
16 Correct 36 ms 3348 KB Output is correct
17 Correct 45 ms 3400 KB Output is correct
18 Correct 43 ms 3412 KB Output is correct
19 Correct 56 ms 3340 KB Output is correct
20 Correct 45 ms 3412 KB Output is correct
21 Correct 49 ms 3412 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -