Submission #392494

#TimeUsernameProblemLanguageResultExecution timeMemory
392494bayemirovSnowball (JOI21_ho_t2)C++17
100 / 100
2273 ms25020 KiB
#include <bits/stdc++.h>
#define ll long long
#define all(x) x.begin(), x.end()
#define pb push_back
#define pii pair<int, int> 
#define fr first
#define sc second
using namespace std;
const int N = 2e5 + 1;
int n, q;
ll a[N], d[N], p[N], pref[N], pos2[N], qr[N], pos1[N];
int t[N * 4], shift = 1, lg[2 * N], prmn[N + 500], sufmn[N + 500];
vector<ll> all;
 
int get(ll l, ll r) {
	if (l == 1) return prmn[r];
	else return sufmn[l];
}
 
 
bool check(int pos, ll m) {
	int j = -1;
	ll need = m - a[pos];
	need = lower_bound(all(all), need) - all.begin() + 1;
	j = get(need, N);
	int k = -1;
	need = m - a[pos + 1];
	need = lower_bound(all(all), need) - all.begin();
	k = get(1, need);
	if (j == 1e9) return false;
	if (j > k) return false;
	return true; 
}
 
bool check2(int pos, ll m) {
	int j = - 1;
	ll need = m - a[pos];
	need = upper_bound(all(all), need) - all.begin();
	j = get(1, need);
	
	int k = -1;
	need = m - a[pos - 1];
	need = upper_bound(all(all), need) - all.begin() + 1;
	k = get(need, N);
	
	if (j == 1e9) return false;
	if (j > k) return false;
	return true; 
}
 
 
int main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	cin >> n >> q;
	
	for (int i = 0; i < 4 * N; i++) t[i] = 1e9;
	for (int i = 1; i <= n; i++) cin >> a[i];
	
	ll x = *min_element(a + 1, a + 1 + n);
	ll mn2 = 1e18;
	
	for (int i = 1; i <= q; i++) cin >> d[i];
	for (int i = 1; i <= q; i++) p[i] = p[i - 1] + d[i], all.pb(p[i]);
	for (int i = 1; i <= q; i++) mn2 = min(mn2, x + p[i]);
	for (int i = 1; i <= n; i++) a[i] += abs(mn2) + 1;
	
	sort(all(all));
	all.resize(unique(all(all)) - all.begin());
	
	for (int i = 1; i <= q; i++) pref[i] = lower_bound(all(all), p[i]) - all.begin() + 1;
	for (int i = 1; i <= q; i++) t[pref[i]] = min(t[pref[i]], i);
	fill(prmn, prmn + N + 500, 1e9);
	fill(sufmn, sufmn + N + 500, 1e9); 
	for (int i = 1; i <= N; i++) {
		prmn[i] = min(prmn[i - 1], t[i]);
	}
	for (int i = N; i >= 1; i--) {
		sufmn[i] = min(sufmn[i + 1], t[i]);
	} 
	for (int i = 1; i < n; i++) {
		ll l = a[i] + 1;
		ll r = a[i + 1];
		ll ans = -1;
		while (l <= r) {
			ll m = (l + r) / 2;
			if (check(i, m)) l = m + 1, ans = m;
			else r = m - 1;
		}
		pos1[i] = ans;
	}
	for (int i = 2; i <= n; i++) {
		ll l = a[i - 1];
		ll r = a[i] - 1;
		ll ans = -1;
		while (l <= r) {
			ll m = (l + r) / 2;
			if (check2(i, m)) r = m - 1, ans = m;
			else l = m + 1;
		}
		pos2[i] = ans;
	}
	
	for (int i = 1; i < n; i++) if (pos1[i] != -1) qr[i] += pos1[i] - a[i];
	for (int i = 2; i <= n; i++) if (pos2[i] != -1) qr[i] += a[i] - pos2[i];
	
	qr[1] += abs(min(0ll, *min_element(p + 1, p + 1 + q)));
	qr[n] += max(0ll, *max_element(p + 1, p + 1 + q));
	for (int i = 1; i <= n; i++) cout << qr[i] << endl; 	
	return 0;
}
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