#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
/*
read somewhere that aliens trick can be used in this problem
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
template<typename T>
struct lazysegtree {
/*=======================================================*/
struct data {
ll mn,ind;
};
struct lazy {
ll a;
};
data d_neutral = {inf2,-1};
lazy l_neutral = {0};
void merge(data &curr, data &left, data &right) {
if(left.mn <= right.mn) curr = left;
else curr = right;
}
void create(int x, int lx, int rx, T v) {
tr[x].mn = 0;
tr[x].ind = lx;
}
void modify(int x, int lx, int rx, T v) {
lz[x].a = v;
}
void propagate(int x, int lx, int rx) {
ll v = lz[x].a;
if(!v) return;
tr[x].mn += v;
if(rx - lx > 1){
lz[2*x+1].a += v;
lz[2*x+2].a += v;
}
lz[x] = l_neutral;
}
/*=======================================================*/
int siz = 1;
vector<data> tr;
vector<lazy> lz;
lazysegtree() {
}
lazysegtree(int n) {
while (siz < n) siz *= 2;
tr.assign(2 * siz, d_neutral);
lz.assign(2 * siz, l_neutral);
}
void build(vector<T> &a, int n, int x, int lx, int rx) {
if (rx - lx == 1) {
if (lx < n) {
create(x, lx, rx, a[lx]);
}
return;
}
int mid = (lx + rx) / 2;
build(a, n, 2 * x + 1, lx, mid);
build(a, n, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void build(vector<T> &a, int n) {
build(a, n, 0, 0, siz);
}
void rupd(int l, int r, T v, int x, int lx, int rx) {
propagate(x, lx, rx);
if (lx >= r or rx <= l) return;
if (lx >= l and rx <= r) {
modify(x, lx, rx, v);
propagate(x, lx, rx);
return;
}
int mid = (lx + rx) / 2;
rupd(l, r, v, 2 * x + 1, lx, mid);
rupd(l, r, v, 2 * x + 2, mid, rx);
merge(tr[x], tr[2 * x + 1], tr[2 * x + 2]);
}
void rupd(int l, int r, T v) {
rupd(l, r + 1, v, 0, 0, siz);
}
data query(int l, int r, int x, int lx, int rx) {
propagate(x, lx, rx);
if (lx >= r or rx <= l) return d_neutral;
if (lx >= l and rx <= r) return tr[x];
int mid = (lx + rx) / 2;
data curr;
data left = query(l, r, 2 * x + 1, lx, mid);
data right = query(l, r, 2 * x + 2, mid, rx);
merge(curr, left, right);
return curr;
}
data query(int l, int r) {
return query(l, r + 1, 0, 0, siz);
}
};
template<typename T>
struct sparse_table {
/*============================*/
T merge(T a, T b) {
return min(a,b);
}
/*============================*/
vector<vector<T>> table;
vector<int> bin_log;
int LOG = 0;
sparse_table() {
}
sparse_table(vector<T> &a, int n) {
while ((1 << LOG) <= n) LOG++;
table = vector<vector<T>>(n, vector<T>(LOG));
bin_log = vector<int>(n + 1);
rep(i, n) table[i][0] = a[i];
rep1(j, LOG - 1) {
rep(i, n) {
int jump = 1 << (j - 1);
if (i + jump >= n) {
break;
}
table[i][j] = merge(table[i][j - 1], table[i + jump][j - 1]);
}
}
bin_log[1] = 0;
for (int i = 2; i <= n; ++i) {
bin_log[i] = bin_log[i / 2] + 1;
}
}
T query(int l, int r) {
int len = r - l + 1;
int k = bin_log[len];
T val1 = table[l][k];
T val2 = table[r - (1 << k) + 1][k];
return merge(val1, val2);
}
};
void solve(int test_case)
{
ll n,d,t; cin >> n >> d >> t;
d++; // we need d+1 segs
vector<ll> a(n+5);
rep1(i,n) cin >> a[i];
vector<ll> b(n+5);
rep1(i,n) b[i] = a[i] - i;
sparse_table<ll> sparse(b,n+1);
vector<ll> lx(n+5); // lx[i] = first pos to the left of i s.t if we start making ops from this pos, a[i] <= t
rep1(i,n){
// a[j] + (i-j) = (a[j]-j) + i
ll l = 1, r = i;
while(l <= r){
ll mid = (l+r) >> 1;
if(sparse.query(mid,i) + i <= t){
lx[i] = mid;
l = mid + 1;
}
else{
r = mid - 1;
}
}
}
vector<ll> dp(n+5), cnt(n+5);
auto go = [&](ll lambda){
fill(all(dp),0);
fill(all(cnt),0);
lazysegtree<ll> st(n+5);
vector<ll> dummy(n+5);
st.build(dummy,n+1);
rep1(i,n){
// range add
st.rupd(0,lx[i]-1,1);
// range min
auto [mn,ind] = st.query(0,i-1);
dp[i] = mn+lambda;
cnt[i] = cnt[ind]+1;
st.rupd(i,i,dp[i]);
}
};
ll l = -inf1, r = inf1;
ll lambda = inf2;
while(l <= r){
ll mid = (l+r) >> 1;
go(mid);
if(cnt[n] <= d){
r = mid-1;
lambda = mid;
}
else{
l = mid+1;
}
}
assert(lambda != inf2);
go(lambda);
ll ans = dp[n]-cnt[n]*lambda;
cout << ans << endl;
}
int main()
{
fastio;
int t = 1;
// cin >> t;
rep1(i, t) {
solve(i);
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
348 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
500 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Incorrect |
0 ms |
344 KB |
Output isn't correct |
| 2 |
Halted |
0 ms |
0 KB |
- |
