이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
typedef long long ll;
#define FOR(i,x,y) for(ll i=x; i<y; i++)
#define FORNEG(i,x,y) for(ll i=x; i>y; i--)
using namespace std;
const ll maxn = 500005;
const ll INF = 100000000000000000;
ll tree[maxn*4], tree2[maxn*4];
ll lazy[maxn*4], lazy2[maxn*4];
ll calc(ll k){
return tree[k] + lazy[k];
}
void push(ll k){
lazy[k*2] += lazy[k];
lazy[k*2+1] += lazy[k];
tree[k] += lazy[k];
lazy[k] = 0;
}
void update(ll a, ll b, ll val, ll k=1, ll x=0, ll y=maxn-1){
if (b<x || a>y) return;
if (a<=x && y<=b){
lazy[k] += val;
return;
}
ll mid = (x+y)/2;
push(k);
update(a,b,val,k*2,x,mid);
update(a,b,val,k*2+1,mid+1,y);
tree[k] = min(calc(k*2), calc(k*2+1));
}
ll query(ll a, ll b, ll k=1, ll x = 0, ll y =maxn-1){
if (b<x || a>y) return INF;
if (a<=x && y<=b){
return calc(k);
}
ll mid = (x+y)/2;
push(k);
return min(query(a, b, k*2, x, mid), query(a,b,k*2+1, mid+1, y));
}
ll calc2(ll k){
return tree2[k] + lazy2[k];
}
void push2(ll k){
lazy2[k*2] += lazy2[k];
lazy2[k*2+1] += lazy2[k];
tree2[k] += lazy2[k];
lazy2[k] = 0;
}
void update2(ll a, ll b, ll val, ll k=1, ll x=0, ll y=maxn-1){
if (b<x || a>y) return;
if (a<=x && y<=b){
lazy2[k] += val;
return;
}
ll mid = (x+y)/2;
push2(k);
update2(a,b,val,k*2,x,mid);
update2(a,b,val,k*2+1,mid+1,y);
tree2[k] = min(calc2(k*2), calc2(k*2+1));
}
ll query2(ll a, ll b, ll k=1, ll x = 0, ll y =maxn-1){
if (b<x || a>y) return INF;
if (a<=x && y<=b){
return calc2(k);
}
push2(k);
ll mid = (x+y)/2;
return min(query2(a, b, k*2, x, mid), query2(a,b,k*2+1, mid+1, y));
}
ll a,b,t, n, l;
ll arr[maxn];
ll pref[maxn];
ll suff[maxn];
ll dp(ll x, ll dir){
if (dir==0){
if (x==0) return INF;
ll ans = 0;
ans += pref[x-1];
ans += (x+1)*abs(arr[x-1] - arr[n-1]);
ans += suff[x] + abs(arr[n-1] - arr[x]) * (x);
return ans;
}else{
if (x==n-1) return INF;
ll ans = 0;
ans += suff[x+1];
ans += abs(n-1-x + 1) * abs(arr[0] - arr[x+1]);
ans += pref[x] + abs(arr[0] - arr[x]) * abs(n-1-x);
return ans;
}
}
int main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);
FOR(i,0,maxn*4) tree[i] = 0, lazy[i] = 0, tree2[i] = 0, lazy2[i] = 0;
cin >> n >> l;
FOR(i,0,n) cin >> arr[i];
sort(arr, arr+n);
ll cur = 1;
ll pos = arr[0];
ll tot = 0;
FOR(i,0,n){
ll diff = abs(pos-arr[i]);
pos = arr[i];
tot += diff * cur;
cur++;
pref[i] = tot;
}
cur = 1;
pos = arr[n-1];
tot = 0;
FORNEG(i,n-1,-1){
ll diff = abs(pos-arr[i]);
pos = arr[i];
tot += diff*cur;
cur++;
suff[i] = tot;
}
FOR(i,0,n){
update(i, i, dp(i,0) + arr[i]*(n+1));
update2(i, i, dp(i,1) + arr[i]*(n+1));
}
ll q;
cin >> q;
vector<vector<ll>> queries;
FOR(i,0,q){
cin >> a >> b >> t;
queries.push_back({b, a, t, i});
}
sort(queries.begin(), queries.end());
ll prev = 0;
pos = 0;
vector<string> ans(q);
for (auto&i : queries){
while (pos < n && arr[pos] <= i[0]){
ll diff = abs(prev-arr[pos]);
update(pos, n-1, -diff*(n+1));
update2(pos, n-1, -diff*(n+1));
if (pos != 0) update(0, pos-1, diff*(n+1));
if (pos != 0) update2(0, pos-1, diff*(n+1));
prev = arr[pos];
pos++;
}
ll diff = abs(prev - i[0]);
prev = i[0];
update(pos, n-1, -diff*(n+1));
update2(pos, n-1, -diff*(n+1));
if (pos != 0) update(0, pos-1, diff*(n+1));
if (pos != 0) update2(0, pos-1, diff*(n+1));
ll temp = INF;
temp = min(temp, query(0, n-1) + abs(i[1]-arr[0]));
temp = min(temp, query2(0, n-1) + abs(i[1]-arr[n-1]));
if (temp+n <= i[2]) ans[i[3]] = "Yes";
else ans[i[3]] = "No";
}
for (auto&i : ans) cout << i << "\n";
}
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