#include <bits/stdc++.h>
using namespace std;
#define mnto(x, y) x = min(x, (__typeof__(x)) y)
#define mxto(x, y) x = max(x, (__typeof__(x)) y)
#define REP(i, s, e) for (int i = s; i < e; i++)
#define RREP(i, s, e) for (int i = s; i >= e; i--)
typedef long long ll;
typedef long double ld;
#define MP make_pair
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
#define MT make_tuple
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define pb emplace_back
typedef vector<int> vi;
typedef vector<ii> vii;
#define INF 1000000005
#define LINF 1000000000000000005
#define MOD 1000000007
#define MAXN 1000005
// make t[i] non-decreasing
// define dp[i] as the minimum sum of waiting time up to i with the group ending at i
// dp[i] = for all -1 <= j < i min(dp[j] + t[i] * (n - j - 1)) = (-t[i] * j + dp[j]) + t[i] * (n - 1)
int n;
int t[MAXN];
stack<int> stk;
ll dp[MAXN];
struct line {
ll m, c;
line() {}
line(ll m, ll c): m(m), c(c) {}
ll eval(ll x) {
return m * x + c;
}
};
ld intersect(line a, line b) {
return (ld) (a.c - b.c) / (b.m - a.m);
}
deque<line> dq;
void insert(line cur) {
while (dq.size() > 1 && intersect(dq.back(), cur) <= intersect(dq[dq.size() - 2], cur)) {
dq.pop_back();
}
dq.push_back(cur);
}
ll query(ll x) {
while (dq.size() > 1 && intersect(dq.front(), dq[1]) < x) {
dq.pop_front();
}
return dq.front().eval(x);
}
int main() {
scanf("%d", &n);
REP (i, 0, n) scanf("%d", &t[i]);
int mx = 0;
REP (i, 0, n) {
mxto(mx, t[i]);
t[i] = mx;
}
insert(line(1, 0));
REP (i, 0, n) {
dp[i] = query(t[i]) + (ll) t[i] * (n - 1);
insert(line(-i, dp[i]));
}
printf("%lld\n", dp[n - 1]);
return 0;
}
Compilation message
Discharging.cpp: In function 'int main()':
Discharging.cpp:64:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
64 | scanf("%d", &n);
| ~~~~~^~~~~~~~~~
Discharging.cpp:65:21: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
65 | REP (i, 0, n) scanf("%d", &t[i]);
| ~~~~~^~~~~~~~~~~~~
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
158 ms |
12908 KB |
Output is correct |
| 17 |
Correct |
167 ms |
13036 KB |
Output is correct |
| 18 |
Correct |
149 ms |
12908 KB |
Output is correct |
| 19 |
Correct |
165 ms |
13036 KB |
Output is correct |
| 20 |
Correct |
160 ms |
12908 KB |
Output is correct |
| 21 |
Correct |
167 ms |
12908 KB |
Output is correct |
| 22 |
Correct |
159 ms |
12960 KB |
Output is correct |
| 23 |
Correct |
177 ms |
12908 KB |
Output is correct |
| 24 |
Correct |
164 ms |
12908 KB |
Output is correct |
| 25 |
Correct |
173 ms |
13036 KB |
Output is correct |
| 26 |
Correct |
169 ms |
12908 KB |
Output is correct |
| 27 |
Correct |
159 ms |
13036 KB |
Output is correct |
| 28 |
Correct |
168 ms |
12908 KB |
Output is correct |
| 29 |
Correct |
165 ms |
12908 KB |
Output is correct |
| 30 |
Correct |
165 ms |
12780 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
178 ms |
13040 KB |
Output is correct |
| 2 |
Correct |
171 ms |
12908 KB |
Output is correct |
| 3 |
Correct |
171 ms |
12900 KB |
Output is correct |
| 4 |
Correct |
170 ms |
12908 KB |
Output is correct |
| 5 |
Correct |
175 ms |
12908 KB |
Output is correct |
| 6 |
Correct |
179 ms |
13164 KB |
Output is correct |
| 7 |
Correct |
173 ms |
12908 KB |
Output is correct |
| 8 |
Correct |
174 ms |
12908 KB |
Output is correct |
| 9 |
Correct |
174 ms |
12908 KB |
Output is correct |
| 10 |
Correct |
174 ms |
12908 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
1 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
1 ms |
364 KB |
Output is correct |
| 24 |
Correct |
1 ms |
364 KB |
Output is correct |
| 25 |
Correct |
1 ms |
364 KB |
Output is correct |
| 26 |
Correct |
1 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
1 ms |
364 KB |
Output is correct |
| 30 |
Correct |
1 ms |
364 KB |
Output is correct |
| 31 |
Correct |
1 ms |
364 KB |
Output is correct |
| 32 |
Correct |
1 ms |
364 KB |
Output is correct |
| 33 |
Correct |
1 ms |
364 KB |
Output is correct |
| 34 |
Correct |
1 ms |
364 KB |
Output is correct |
| 35 |
Correct |
1 ms |
364 KB |
Output is correct |
| 36 |
Correct |
1 ms |
364 KB |
Output is correct |
| 37 |
Correct |
1 ms |
364 KB |
Output is correct |
| 38 |
Correct |
1 ms |
364 KB |
Output is correct |
| 39 |
Correct |
1 ms |
364 KB |
Output is correct |
| 40 |
Correct |
1 ms |
364 KB |
Output is correct |
| 41 |
Correct |
1 ms |
364 KB |
Output is correct |
| 42 |
Correct |
1 ms |
364 KB |
Output is correct |
| 43 |
Correct |
1 ms |
364 KB |
Output is correct |
| 44 |
Correct |
1 ms |
364 KB |
Output is correct |
| 45 |
Correct |
1 ms |
364 KB |
Output is correct |
| 46 |
Correct |
1 ms |
364 KB |
Output is correct |
| 47 |
Correct |
1 ms |
364 KB |
Output is correct |
| 48 |
Correct |
1 ms |
492 KB |
Output is correct |
| 49 |
Correct |
1 ms |
364 KB |
Output is correct |
| 50 |
Correct |
1 ms |
364 KB |
Output is correct |
| # |
결과 |
실행 시간 |
메모리 |
Grader output |
| 1 |
Correct |
1 ms |
364 KB |
Output is correct |
| 2 |
Correct |
1 ms |
364 KB |
Output is correct |
| 3 |
Correct |
1 ms |
364 KB |
Output is correct |
| 4 |
Correct |
1 ms |
364 KB |
Output is correct |
| 5 |
Correct |
1 ms |
364 KB |
Output is correct |
| 6 |
Correct |
1 ms |
364 KB |
Output is correct |
| 7 |
Correct |
1 ms |
364 KB |
Output is correct |
| 8 |
Correct |
1 ms |
364 KB |
Output is correct |
| 9 |
Correct |
1 ms |
364 KB |
Output is correct |
| 10 |
Correct |
1 ms |
364 KB |
Output is correct |
| 11 |
Correct |
1 ms |
364 KB |
Output is correct |
| 12 |
Correct |
1 ms |
364 KB |
Output is correct |
| 13 |
Correct |
1 ms |
364 KB |
Output is correct |
| 14 |
Correct |
1 ms |
364 KB |
Output is correct |
| 15 |
Correct |
1 ms |
364 KB |
Output is correct |
| 16 |
Correct |
1 ms |
364 KB |
Output is correct |
| 17 |
Correct |
1 ms |
364 KB |
Output is correct |
| 18 |
Correct |
1 ms |
364 KB |
Output is correct |
| 19 |
Correct |
1 ms |
364 KB |
Output is correct |
| 20 |
Correct |
1 ms |
364 KB |
Output is correct |
| 21 |
Correct |
1 ms |
364 KB |
Output is correct |
| 22 |
Correct |
1 ms |
364 KB |
Output is correct |
| 23 |
Correct |
1 ms |
364 KB |
Output is correct |
| 24 |
Correct |
1 ms |
364 KB |
Output is correct |
| 25 |
Correct |
1 ms |
364 KB |
Output is correct |
| 26 |
Correct |
1 ms |
364 KB |
Output is correct |
| 27 |
Correct |
1 ms |
364 KB |
Output is correct |
| 28 |
Correct |
1 ms |
364 KB |
Output is correct |
| 29 |
Correct |
1 ms |
364 KB |
Output is correct |
| 30 |
Correct |
158 ms |
12908 KB |
Output is correct |
| 31 |
Correct |
167 ms |
13036 KB |
Output is correct |
| 32 |
Correct |
149 ms |
12908 KB |
Output is correct |
| 33 |
Correct |
165 ms |
13036 KB |
Output is correct |
| 34 |
Correct |
160 ms |
12908 KB |
Output is correct |
| 35 |
Correct |
167 ms |
12908 KB |
Output is correct |
| 36 |
Correct |
159 ms |
12960 KB |
Output is correct |
| 37 |
Correct |
177 ms |
12908 KB |
Output is correct |
| 38 |
Correct |
164 ms |
12908 KB |
Output is correct |
| 39 |
Correct |
173 ms |
13036 KB |
Output is correct |
| 40 |
Correct |
169 ms |
12908 KB |
Output is correct |
| 41 |
Correct |
159 ms |
13036 KB |
Output is correct |
| 42 |
Correct |
168 ms |
12908 KB |
Output is correct |
| 43 |
Correct |
165 ms |
12908 KB |
Output is correct |
| 44 |
Correct |
165 ms |
12780 KB |
Output is correct |
| 45 |
Correct |
178 ms |
13040 KB |
Output is correct |
| 46 |
Correct |
171 ms |
12908 KB |
Output is correct |
| 47 |
Correct |
171 ms |
12900 KB |
Output is correct |
| 48 |
Correct |
170 ms |
12908 KB |
Output is correct |
| 49 |
Correct |
175 ms |
12908 KB |
Output is correct |
| 50 |
Correct |
179 ms |
13164 KB |
Output is correct |
| 51 |
Correct |
173 ms |
12908 KB |
Output is correct |
| 52 |
Correct |
174 ms |
12908 KB |
Output is correct |
| 53 |
Correct |
174 ms |
12908 KB |
Output is correct |
| 54 |
Correct |
174 ms |
12908 KB |
Output is correct |
| 55 |
Correct |
1 ms |
364 KB |
Output is correct |
| 56 |
Correct |
1 ms |
364 KB |
Output is correct |
| 57 |
Correct |
1 ms |
364 KB |
Output is correct |
| 58 |
Correct |
1 ms |
364 KB |
Output is correct |
| 59 |
Correct |
1 ms |
364 KB |
Output is correct |
| 60 |
Correct |
1 ms |
364 KB |
Output is correct |
| 61 |
Correct |
1 ms |
364 KB |
Output is correct |
| 62 |
Correct |
1 ms |
364 KB |
Output is correct |
| 63 |
Correct |
1 ms |
364 KB |
Output is correct |
| 64 |
Correct |
1 ms |
364 KB |
Output is correct |
| 65 |
Correct |
1 ms |
364 KB |
Output is correct |
| 66 |
Correct |
1 ms |
364 KB |
Output is correct |
| 67 |
Correct |
1 ms |
364 KB |
Output is correct |
| 68 |
Correct |
1 ms |
364 KB |
Output is correct |
| 69 |
Correct |
1 ms |
364 KB |
Output is correct |
| 70 |
Correct |
1 ms |
364 KB |
Output is correct |
| 71 |
Correct |
1 ms |
364 KB |
Output is correct |
| 72 |
Correct |
1 ms |
364 KB |
Output is correct |
| 73 |
Correct |
1 ms |
492 KB |
Output is correct |
| 74 |
Correct |
1 ms |
364 KB |
Output is correct |
| 75 |
Correct |
1 ms |
364 KB |
Output is correct |
| 76 |
Correct |
166 ms |
12836 KB |
Output is correct |
| 77 |
Correct |
161 ms |
12652 KB |
Output is correct |
| 78 |
Correct |
158 ms |
12652 KB |
Output is correct |
| 79 |
Correct |
159 ms |
12908 KB |
Output is correct |
| 80 |
Correct |
163 ms |
12684 KB |
Output is correct |
| 81 |
Correct |
157 ms |
12800 KB |
Output is correct |
| 82 |
Correct |
156 ms |
12652 KB |
Output is correct |
| 83 |
Correct |
173 ms |
12652 KB |
Output is correct |
| 84 |
Correct |
169 ms |
12652 KB |
Output is correct |
| 85 |
Correct |
164 ms |
12652 KB |
Output is correct |
| 86 |
Correct |
159 ms |
12780 KB |
Output is correct |
| 87 |
Correct |
156 ms |
12652 KB |
Output is correct |
| 88 |
Correct |
162 ms |
12652 KB |
Output is correct |
| 89 |
Correct |
157 ms |
12780 KB |
Output is correct |
| 90 |
Correct |
159 ms |
12652 KB |
Output is correct |
| 91 |
Correct |
162 ms |
12780 KB |
Output is correct |
| 92 |
Correct |
173 ms |
12744 KB |
Output is correct |
| 93 |
Correct |
165 ms |
12524 KB |
Output is correct |
| 94 |
Correct |
155 ms |
12524 KB |
Output is correct |
| 95 |
Correct |
167 ms |
12524 KB |
Output is correct |
| 96 |
Correct |
159 ms |
12652 KB |
Output is correct |
| 97 |
Correct |
157 ms |
12524 KB |
Output is correct |
| 98 |
Correct |
163 ms |
12524 KB |
Output is correct |
| 99 |
Correct |
156 ms |
12524 KB |
Output is correct |
| 100 |
Correct |
162 ms |
12560 KB |
Output is correct |
