#include<iostream>
#include<algorithm>
using namespace std;
const int MAX_N = 500007;
const int DEPTH = 19;
const int LEAVES = 1 << DEPTH;
inline int L(int v) {return (v << 1);}
inline int R(int v) {return ((v << 1)|1);}
inline int P(int v) {return (v >> 1);}
int tree[2 << DEPTH];
int query(int s, int e, int vs, int ve, int v) {
if(e < vs || ve < s) return 1e9;
if(s <= vs && ve <= e) return tree[v];
int split = (vs+ve)>>1;
return min(query(s, e, vs, split, L(v)), query(s, e, split+1, ve, R(v)));
}
inline int query(int s, int e) {
return query(s, e, 0, LEAVES-1, 1);
}
void change(int v, int val) {
v |= LEAVES;
tree[v] = val;
v = P(v);
while(v > 0) {
tree[v] = min(tree[L(v)], tree[R(v)]);
v = P(v);
}
}
int scaled[MAX_N];
pair<long long, int> temp[MAX_N];
int dp[MAX_N];
int main() {
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n, fab = -1;
cin >> n;
temp[0] = make_pair(0, 0);
for(int i = 1; i <= n; i++) {
cin >> temp[i].first;
if(fab == -1 && temp[i].first < 0) {
fab = i;
}
temp[i].first += temp[i-1].first;
temp[i].second = i;
}
if(fab == -1) {
cout << "0\n";
return 0;
}
if(temp[n].first < 0) {
cout << "-1\n";
return 0;
}
sort(temp, temp+n+1);
int a = 0;
scaled[temp[0].second] = 0;
for(int i = 1; i <= n; i++) {
if(temp[i-1].first < temp[i].first) a++;
scaled[temp[i].second] = a;
}
for(int i = 0; i < LEAVES; i++) {
tree[i|LEAVES] = 1e9;
}
tree[scaled[n]|LEAVES] = n;
for(int i = LEAVES-1; i > 0; i--) {
tree[i] = min(tree[L(i)], tree[R(i)]);
}
for(int i = n; i >= 1; i--) {
dp[i] = query(scaled[i-1], a)-i;
if(tree[scaled[i-1]|LEAVES] > dp[i]) change(scaled[i-1], dp[i]+i-1);
}
int best = 1e9;
for(int i = 1; i <= fab; i++) {
best = min(best, dp[i]);
}
cout << best << '\n';
return 0;
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 | #include<iostream> #include<algorithm> using namespace std; const int MAX_N = 500007; const int DEPTH = 19; const int LEAVES = 1 << DEPTH; inline int L(int v) {return (v << 1);} inline int R(int v) {return ((v << 1)|1);} inline int P(int v) {return (v >> 1);} int tree[2 << DEPTH]; int query(int s, int e, int vs, int ve, int v) { if(e < vs || ve < s) return 1e9; if(s <= vs && ve <= e) return tree[v]; int split = (vs+ve)>>1; return min(query(s, e, vs, split, L(v)), query(s, e, split+1, ve, R(v))); } inline int query(int s, int e) { return query(s, e, 0, LEAVES-1, 1); } void change(int v, int val) { v |= LEAVES; tree[v] = val; v = P(v); while(v > 0) { tree[v] = min(tree[L(v)], tree[R(v)]); v = P(v); } } int scaled[MAX_N]; pair<long long, int> temp[MAX_N]; int dp[MAX_N]; int main() { ios::sync_with_stdio(0); cin.tie(0); cout.tie(0); int n, fab = -1; cin >> n; temp[0] = make_pair(0, 0); for(int i = 1; i <= n; i++) { cin >> temp[i].first; if(fab == -1 && temp[i].first < 0) { fab = i; } temp[i].first += temp[i-1].first; temp[i].second = i; } if(fab == -1) { cout << "0\n"; return 0; } if(temp[n].first < 0) { cout << "-1\n"; return 0; } sort(temp, temp+n+1); int a = 0; scaled[temp[0].second] = 0; for(int i = 1; i <= n; i++) { if(temp[i-1].first < temp[i].first) a++; scaled[temp[i].second] = a; } for(int i = 0; i < LEAVES; i++) { tree[i|LEAVES] = 1e9; } tree[scaled[n]|LEAVES] = n; for(int i = LEAVES-1; i > 0; i--) { tree[i] = min(tree[L(i)], tree[R(i)]); } for(int i = n; i >= 1; i--) { dp[i] = query(scaled[i-1], a)-i; if(tree[scaled[i-1]|LEAVES] > dp[i]) change(scaled[i-1], dp[i]+i-1); } int best = 1e9; for(int i = 1; i <= fab; i++) { best = min(best, dp[i]); } cout << best << '\n'; return 0; } |
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