Submission #673153

#	Time	Username	Problem	Language	Result	Execution time	Memory
673153		US3RN4M3	Uplifting Excursion (BOI22_vault)	C++17	80 / 100	437 ms	2040 KiB

vault

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
const int mx = 105;
const int mx2 = mx*mx;
const ll inf = 1e18;
const ll ninf = -1e18;
ll m, l;
ll cnt_neg[mx];
ll cnt_pos[mx];
ll cnt_zero;
ll dp[mx2*2];
ll cnt_pos_good[mx];
ll cnt_pos_bad[mx];
ll cnt_neg_good[mx];
ll cnt_neg_bad[mx];
void solve(ll target, ll cur_cnt_sum) {
	if(target >= mx2 || target < -mx2) {
		cout << "impossible" << endl;
		return;
	}
	dp[mx2 + target] = cur_cnt_sum;
	for(int i = 1; i <= m; i++) {
		/* positive good */
		if(cnt_pos_good[i]) {
			for(int residue = 0; residue < i; residue++) {
				map<ll, ll> vals;
				vector<ll> history;
				ll t = 0;
				for(int cur_pos = residue; cur_pos < mx2*2; cur_pos += i) {
					ll tmp_val = dp[cur_pos] - t;
					if(vals.size())
						dp[cur_pos] = max(dp[cur_pos], vals.rbegin()->first + t);
					vals[tmp_val]++;
					history.push_back(tmp_val);
					if(t >= cnt_pos_good[i]) {
						ll tmp = history[t - cnt_pos_good[i]];
						vals[tmp]--;
						if(vals[tmp] == 0) vals.erase(tmp);
					}
					t++;
				}
			}
		}
		/* positive bad */
		if(cnt_pos_bad[i]) {
			for(int residue = 0; residue < i; residue++) {
				map<ll, ll> vals;
				vector<ll> history;
				ll t = 0;
				for(int cur_pos = residue; cur_pos < mx2*2; cur_pos += i) {
					ll tmp_val = dp[cur_pos] + t;
					if(vals.size())
						dp[cur_pos] = max(dp[cur_pos], vals.rbegin()->first - t);
					vals[tmp_val]++;
					history.push_back(tmp_val);
					if(t >= cnt_pos_bad[i]) {
						ll tmp = history[t - cnt_pos_bad[i]];
						vals[tmp]--;
						if(vals[tmp] == 0) vals.erase(tmp);
					}
					t++;
				}
			}
		}
		/* negitive good */
		if(cnt_neg_good[i]) {
			for(int residue = 0; residue < i; residue++) {
				map<ll, ll> vals;
				vector<ll> history;
				ll t = 0;
				for(int cur_neg = mx2*2 - 1 - residue; cur_neg >= 0; cur_neg -= i) {
					ll tmp_val = dp[cur_neg] - t;
					if(vals.size())
						dp[cur_neg] = max(dp[cur_neg], vals.rbegin()->first + t);
					vals[tmp_val]++;
					history.push_back(tmp_val);
					if(t >= cnt_neg_good[i]) {
						ll tmp = history[t - cnt_neg_good[i]];
						vals[tmp]--;
						if(vals[tmp] == 0) vals.erase(tmp);
					}
					t++;
				}
			}
		}
		/* negitive bad */
		if(cnt_neg_bad[i]) {
			for(int residue = 0; residue < i; residue++) {
				map<ll, ll> vals;
				vector<ll> history;
				ll t = 0;
				for(int cur_neg = mx2*2 - 1 - residue; cur_neg >= 0; cur_neg -= i) {
					ll tmp_val = dp[cur_neg] + t;
					if(vals.size())
						dp[cur_neg] = max(dp[cur_neg], vals.rbegin()->first - t);
					vals[tmp_val]++;
					history.push_back(tmp_val);
					if(t >= cnt_neg_bad[i]) {
						ll tmp = history[t - cnt_neg_bad[i]];
						vals[tmp]--;
						if(vals[tmp] == 0) vals.erase(tmp);
					}
					t++;
				}
			}
		}
	}
	if(dp[mx2] < 0) cout << "impossible" << endl;
	else cout << dp[mx2] << endl;
}
void eq() {
	ll total_cnt = cnt_zero;
	for(int i = 1; i <= m; i++) {
		total_cnt += cnt_neg[i] + cnt_pos[i];
	}
	cout << total_cnt << endl;
	exit(0);
}
void more_pos() {
	ll sum_neg = l;
	for(int i = 1; i <= m; i++) {
		sum_neg += cnt_neg[i] * i;
	}
	/* binary search: */
	ll cnt_pos_used = 0;
	for(ll delta = (1ll<<60); delta >= 1; delta >>= 1) {
		ll test_value = cnt_pos_used + delta;
		ll cur_sum = 0;
		ll remaining = test_value;
		for(int i = 1; i <= m; i++) {
			if(cnt_pos[i] >= remaining) {
				cur_sum += remaining * i;
				remaining = 0;
				break;
			} else {
				cur_sum += cnt_pos[i] * i;
				remaining -= cnt_pos[i];
			}
		}
		if(remaining > 0) continue;
		if(cur_sum < sum_neg) cnt_pos_used = test_value;
	}
	cnt_pos_used++;
	ll target = -sum_neg;
	ll remaining = cnt_pos_used;
	ll ans = cnt_pos_used + cnt_zero;
	for(int i = 1; i <= m; i++) {
		if(remaining <= cnt_pos[i]) {
			cnt_pos_good[i] = cnt_pos[i] - remaining;
			cnt_neg_bad[i] = remaining;
			target += remaining * i;
			remaining = 0;
		} else {
			cnt_neg_bad[i] = cnt_pos[i];
			target += cnt_pos[i] * i;
			remaining -= cnt_pos[i];
		}
		cnt_pos_bad[i] = cnt_neg[i];
		ans += cnt_neg[i];
	}
	solve(target, ans);
}
void more_neg() {
	for(int i = 1; i <= m; i++) {
		swap(cnt_pos[i], cnt_neg[i]);
	}
	l *= -1;
	more_pos();
}
main() {
	for(int i = 0; i < mx2*2; i++) dp[i] = ninf;
	cin >> m >> l;
	ll sum_pos = 0;
	ll sum_neg = 0;
	for(int i = m; i >= 1; i--) {
		cin >> cnt_neg[i];
		sum_neg += cnt_neg[i] * i;
	}
	cin >> cnt_zero;
	for(int i = 1; i <= m; i++) {
		cin >> cnt_pos[i];
		sum_pos += cnt_pos[i] * i;
	}
	if(sum_pos < l) {
		cout << "impossible" << endl;
		return 0;
	}
	if(sum_pos - sum_neg == l) eq();
	if(sum_pos - sum_neg > l) more_pos();
	if(sum_pos - sum_neg < l) more_neg();
}

Compilation message (stderr)

vault.cpp:171:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
  171 | main() {
      | ^~~~

• Subtask 1: 5 / 5
• Subtask 2: 15 / 15
• Subtask 3-1: 10 / 10
• Subtask 3-2: 10 / 10
• Subtask 4-1: 10 / 10
• Subtask 4-2: 10 / 10
• Subtask 5-1: 10 / 10
• Subtask 5-2: 10 / 10
• Subtask 6-1: 0 / 10
• Subtask 6-2: 0 / 10