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 <bits/stdc++.h>
using namespace std;
using ll = long long;
#define int long long
#define FOR(i, a, b) for (int i = (a); i <= (b); i++)
#define FORD(i, a, b) for (int i = (b); i >= (a); i --)
#define REP(i, a) for (int i = 0; i < (a); ++i)
#define REPD(i, a) for (int i = (a) - 1; i >= 0; --i)
#define MASK(i) (1LL << (i))
#define BIT(x, i) (((x) >> (i)) & 1)
constexpr ll LINF = (1ll << 60);
constexpr int INF = (1ll << 30);
constexpr int Mod = 1e9 + 7;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
/*
Phu Trong from Nguyen Tat Thanh High School for gifted student
*/
template <class X, class Y>
bool minimize(X &x, const Y &y){
X eps = 1e-9;
if (x > y + eps) {x = y; return 1;}
return 0;
}
template <class X, class Y>
bool maximize(X &x, const Y &y){
X eps = 1e-9;
if (x + eps < y) {x = y; return 1;}
return 0;
}
#define MAX 100005
#define LOG 17
int nArr;
int A[MAX];
int cost[MAX][LOG];
int dp[LOG + 2][MAX][LOG + 2];
int new_dp[MAX];
void process(void){
cin >> nArr;
for (int i = 1; i <= nArr; ++i) cin >> A[i];
for (int i = 1; i <= nArr; ++i){
if(A[i] > LOG) return void(cout << -1);
}
memset(dp, 0x3f, sizeof dp);
for (int i = 1; i <= nArr; ++i){
dp[0][i][A[i]] = 0;
if(A[i] > 0)
dp[0][i][A[i] - 1] = 1;
}
for (int l = 1; MASK(l) <= nArr; ++l){
for (int i = 1; i <= nArr; ++i){
int m = i + MASK(l - 1);
for (int value = 0; value < LOG; ++value){
minimize(dp[l][i][value], dp[l - 1][i][value + 1] + dp[l - 1][m][value + 1] + 1);
minimize(dp[l][i][value], dp[l - 1][i][value] + dp[l - 1][m][value]);
}
}
}
memset(new_dp, 0x3f, sizeof new_dp);
new_dp[0] = 0;
for (int i = 1; i <= nArr; ++i){
for (int l = 0; i - MASK(l) >= 0; ++l){
minimize(new_dp[i], new_dp[i - MASK(l)] + dp[l][i - MASK(l) + 1][0]);
}
}
cout << (new_dp[nArr] >= INF ? -1 : new_dp[nArr]);
}
signed main(){
#define name "Whisper"
cin.tie(nullptr) -> sync_with_stdio(false);
//freopen(name".inp", "r", stdin);
//freopen(name".out", "w", stdout);
process();
return (0 ^ 0);
}
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