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;
const int N = 1e5+10;
const int LG = 20;
struct node {
long long mn=0;
vector<int> dec;
node() {
dec=vector<int>(LG, -1);
}
};
int n, a[N];
node up[N][LG];
node merge(const node &A, const node &B) {
node res;
res.mn = min(A.mn, B.mn);
for(int i = 0;i<LG;i++){
if(A.dec[i] == -1 or B.dec[i] == -1)continue;
res.dec[i] = A.dec[i]+B.dec[i];
}
if(res.mn > 0) {
for(int i = 0;i+1<LG;i++){
if(A.dec[i+1] == -1 or B.dec[i+1]==-1)continue;
int L = A.dec[i+1];
int R = B.dec[i+1];
if(L == -1 or R == -1)continue;
if(res.dec[i] == -1)res.dec[i] = L+R+1;
else res.dec[i] = min(res.dec[i], L+R+1);
}
}
return res;
}
int main () {
cin >> n;
for(int i = 0;i<n;i++) {
cin >> a[i];
node tmp;
tmp.mn = a[i];
if(a[i] >= LG) {
cout << "-1\n";
return 0;
}
tmp.dec[a[i]] = 0;
if(a[i] >0)tmp.dec[a[i]-1]=1;
up[i][0] = tmp;
}
for(int i = 0;i<n;i++) {
for(int j = 1;j<LG;j++) {
int prv = i-(1<<(j-1));
if(prv<0)break;
up[i][j] = merge(up[i][j-1], up[prv][j-1]);
}
}
long long dp[n+1];
dp[0]=0;
for(int i = 1;i<=n;i++) {
int cnt=0;
dp[i] = 1e18;
for(int j = 1;j<=i;j*=2) {
if(up[i-1][cnt].dec[0]!=-1)
dp[i] = min(dp[i], dp[i-j]+up[i-1][cnt].dec[0]);
cnt++;
}
}
if(dp[n] == 1e18) {
cout << "-1\n";
return 0;
}
else cout << dp[n] << "\n";
}
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