This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "towers.h"
#include<bits/stdc++.h>
using namespace std;
#define pb push_back
#define all(x) x.begin(),x.end()
#define ll long long int
#define en cout << '\n'
#define pii pair<int,int>
#define vi vector<int>
#define ff first
#define ss second
const int N = 300005, K = 20;
struct Node{
Node *L, *R;
int sum, mostleft, mostright;
Node(){
L=R=nullptr;
sum=0;
mostleft=mostright=0;
}
Node(Node*l, Node*r): L(l), R(r){
sum = 0;
mostleft = 100000000;
mostright = -1;
if(l != nullptr) sum += l->sum, mostleft = min(mostleft, l->mostleft), mostright = max(mostright, l->mostright);
if(r != nullptr) sum += r->sum, mostleft = min(mostleft, r->mostleft), mostright = max(mostright, r->mostright);
}
Node(int s, int pos): sum(s){
if(s == 1)
mostleft = mostright = pos;
else
mostleft = 100000000, mostright = -1;
L=R=nullptr;
}
};
vector<bool> is_peak(300005);
Node *build(int l, int r){
if(l == r){
return new Node(is_peak[l], l);
}
int m = l+r>>1;
return new Node(build(l, m), build(m+1, r));
}
Node *upd(Node *v, int l, int r, int p, int val){
if(l == r){
return new Node(val, l);
}
int m = l+r>>1;
if(p <= m) return new Node(upd(v->L, l, m, p, val), v->R);
return new Node(v->L, upd(v->R, m+1, r, p, val));
}
array<int, 3> get(Node *v, int l, int r, int ql, int qr){
if(ql > r || l > qr) return {0, 100000000, -1};
if(ql <= l && r <= qr){
return {v->sum, v->mostleft, v->mostright};
}
int m = l+r>>1;
auto x = get(v->L, l, m, ql, qr);
auto y = get(v->R, m+1, r, ql, qr);
return {x[0] + y[0], min(x[1], y[1]), max(x[2], y[2])};
}
int rmq[N][K];
int getmin(int l, int r){
int k = int(log2(r-l+1));
return min(rmq[l][k], rmq[r-(1<<k)+1][k]);
}
void op(vector<int> &a, vector<int> &A, vector<int> &B){
if(a.size() <= 1){
A = a;
B.pb(0);
return;
}
A.pb(a[0]);
A.pb(a[1]);
B.pb(0);
B.pb(1);
for(int i = 2; i < a.size(); ++i){
if(a[i] > A.back() && A.back() > A[int(A.size()) - 2]){
A.pop_back();
B.pop_back();
A.pb(a[i]);
B.pb(i);
}else if(a[i] < A.back() && A.back() < A[int(A.size()) - 2]){
A.pop_back();
B.pop_back();
A.pb(a[i]);
B.pb(i);
}else{
A.pb(a[i]);
B.pb(i);
}
}
}
int n;
vector<int> A, B, a;
vector<pair<int, int>> ans;
vector<pair<int, Node*>> roots;
void init(int nn, std::vector<int> aa) { n=nn;a=aa;
if(n == 1) return;
op(a, A, B);
for(int i = 0; i < n; ++i) rmq[i][0] = a[i];
for(int j = 1; j < K; ++j){
for(int i = 0; i + (1<<j) <= n; ++i){
rmq[i][j] = min(rmq[i][j - 1], rmq[i + (1<<(j-1))][j - 1]);
}
}
if(A[0] > A[1]) A.erase(A.begin()), B.erase(B.begin());
if(A.size()==1) return;
if(A.back() > A[A.size() - 2]) A.pop_back(), B.pop_back();
if(A.size()==1) return;
set<array<int, 3>> S;
priority_queue<array<int, 3>> Q;
int m = A.size();
for(int i = 0; i < m; ++i){
S.insert({i, A[i], B[i]});
if(i%2) is_peak[B[i]] = 1;
if(i + 1 < m && A[i + 1] > A[i]) Q.push({-(A[i + 1] - A[i]), i, i + 1});
if(i > 0 && A[i - 1] > A[i]) Q.push({-(A[i - 1] - A[i]), i, i - 1});
}
roots.pb({0, build(0, n - 1)});
ans.pb({0, A.size() / 2 + 1});
vector<bool> rem(A.size());
while(!Q.empty()){
auto V = Q.top();
int v = V[1], u = V[2];
int val = V[0];
Q.pop();
if(rem[u] || rem[v]) continue;
S.erase({v, A[v], B[v]});
S.erase({u, A[u], B[u]});
rem[u] = rem[v] = 1;
int mx = max(u, v);
auto it = S.lower_bound(array<int,3>{mx, -1, -1});
if(it != S.begin() && it != S.end()){
auto it2 = prev(it);
auto x = *it;
auto y = *it2;
Q.push({-abs(x[1] - y[1]), x[0], y[0]});
}
if(ans.back().ff == -val){
roots.back().ss = upd(roots.back().ss, 0, n - 1, (A[v] > A[u] ? B[v] : B[u]), 0);
ans.back().ss = S.size() / 2 + 1;
}else{
roots.pb({-val, upd(roots.back().ss, 0, n - 1, (A[v] > A[u] ? B[v] : B[u]), 0)});
ans.pb({-val, S.size() / 2 + 1});
}
}
}
int max_towers(int L, int R, int D) {
if(n == 1 || L == R || A.size() == 1) return 1;
int pos = upper_bound(all(ans), pii{D, -1}) - ans.begin() - 1;
if(pos == ans.size()) return 1;
auto F = get(roots[pos].ss, 0, n - 1, L, R);
int l = F[1], r = F[2], cur = F[0];
if(L < l){
cur += getmin(L, l-1) <= a[F[1]] - D;
}
if(r < R){
cur += getmin(r + 1, R) <= a[F[2]] - D;
}
return cur;
// if(D==1) return ans[0].ss;
// return max(pos == ans.size() ? 1 : ans[pos].ss, 1);
}
Compilation message (stderr)
towers.cpp: In function 'Node* build(int, int)':
towers.cpp:43:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
43 | int m = l+r>>1;
| ~^~
towers.cpp: In function 'Node* upd(Node*, int, int, int, int)':
towers.cpp:51:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
51 | int m = l+r>>1;
| ~^~
towers.cpp: In function 'std::array<int, 3> get(Node*, int, int, int, int)':
towers.cpp:61:12: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
61 | int m = l+r>>1;
| ~^~
towers.cpp: In function 'void op(std::vector<int>&, std::vector<int>&, std::vector<int>&)':
towers.cpp:83:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
83 | for(int i = 2; i < a.size(); ++i){
| ~~^~~~~~~~~~
towers.cpp: In function 'int max_towers(int, int, int)':
towers.cpp:167:10: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
167 | if(pos == ans.size()) return 1;
| ~~~~^~~~~~~~~~~~~
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