// Knapsack DP is harder than FFT.
#include<bits/stdc++.h>
using namespace std;
typedef long long ll; typedef pair<int,int> pii;
#define ff first
#define ss second
#define pb emplace_back
#define AI(x) begin(x),end(x)
#ifdef OWO
#define debug(args...) SDF(#args, args)
#define OIU(args...) ostream& operator<<(ostream&O,args)
#define LKJ(S,B,E,F) template<class...T>OIU(S<T...>s){O<<B;int c=0;for(auto i:s)O<<(c++?", ":"")<<F;return O<<E;}
LKJ(vector,'[',']',i)LKJ(deque,'[',']',i)LKJ(set,'{','}',i)LKJ(multiset,'{','}',i)LKJ(unordered_set,'{','}',i)LKJ(map,'{','}',i.ff<<':'<<i.ss)LKJ(unordered_map,'{','}',i.ff<<':'<<i.ss)
template<class...T>void SDF(const char* s,T...a){int c=sizeof...(T);if(!c){cerr<<"\033[1;32mvoid\033[0m\n";return;}(cerr<<"\033[1;32m("<<s<<") = (",...,(cerr<<a<<(--c?", ":")\033[0m\n")));}
template<class T,size_t N>OIU(array<T,N>a){return O<<vector<T>(AI(a));}template<class...T>OIU(pair<T...>p){return O<<'('<<p.ff<<','<<p.ss<<')';}template<class...T>OIU(tuple<T...>t){return O<<'(',apply([&O](T...s){int c=0;(...,(O<<(c++?", ":"")<<s));},t),O<<')';}
#else
#define debug(...) ((void)0)
#endif
#pragma GCC optimize("Ofast")
const ll MUL = 1e9;
const ll INF = 1e18;
const int kN = 505;
int N, K;
pii state[kN];
ll pool[2][kN][kN];
signed main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
cin >> N >> K;
for (int i = 1; i <= N; ++i) {
cin >> state[i].ff >> state[i].ss;
if (state[i].ss == -1)
state[i].ss = 1'000'000;
}
sort(state + 1, state + N + 1, [](const pii &a, const pii &b) {
if (a.ss != b.ss) return a.ss < b.ss;
return a.ff > b.ff;
});
auto dp = pool[0], sc = pool[1];
ll ans = INF;
for (int g = 0; g <= K; ++g) {
for (int j = 0; j <= K; ++j)
for (int k = 0; k <= g; ++k)
dp[j][k] = sc[j][k] = INF;
sc[0][0] = 0;
for (int i = 1; i <= N; ++i) {
for (int j = 0; j <= i and j <= K; ++j)
if (i == j)
for (int k = 0; k <= g; ++k) {
dp[j][k] = sc[j][k];
if (j > 0)
dp[j][k] = min(dp[j][k], sc[j - 1][k] + state[i].ff * MUL / (g + 1));
if (j > 0 and k > 0)
dp[j][k] = min(dp[j][k], sc[j - 1][k - 1] + state[i].ss * MUL / k);
}
else {
dp[j][g] = sc[j][g];
if (j > 0)
dp[j][g] = min(dp[j][g], sc[j - 1][g] + state[i].ff * MUL / (g + 1));
if (j > 0 and g > 0)
dp[j][g] = min(dp[j][g], sc[j - 1][g - 1] + state[i].ss * MUL / g);
}
swap(dp, sc);
}
ans = min(ans, sc[K][g]);
}
cout << setprecision(9) << fixed << ((double) ans / MUL) << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
27 ms |
728 KB |
Output is correct |
6 |
Correct |
171 ms |
1292 KB |
Output is correct |
7 |
Correct |
601 ms |
2284 KB |
Output is correct |
8 |
Correct |
1257 ms |
3276 KB |
Output is correct |
9 |
Correct |
2105 ms |
4384 KB |
Output is correct |
10 |
Correct |
1128 ms |
3196 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
27 ms |
728 KB |
Output is correct |
6 |
Correct |
171 ms |
1292 KB |
Output is correct |
7 |
Correct |
601 ms |
2284 KB |
Output is correct |
8 |
Correct |
1257 ms |
3276 KB |
Output is correct |
9 |
Correct |
2105 ms |
4384 KB |
Output is correct |
10 |
Correct |
1128 ms |
3196 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
213 ms |
1492 KB |
Output is correct |
13 |
Correct |
224 ms |
1500 KB |
Output is correct |
14 |
Correct |
226 ms |
1496 KB |
Output is correct |
15 |
Correct |
1026 ms |
3088 KB |
Output is correct |
16 |
Correct |
1047 ms |
3080 KB |
Output is correct |
17 |
Correct |
1082 ms |
3072 KB |
Output is correct |
18 |
Correct |
1861 ms |
4260 KB |
Output is correct |
19 |
Correct |
1953 ms |
4272 KB |
Output is correct |
20 |
Correct |
2027 ms |
4296 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
0 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
460 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
408 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
0 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
0 ms |
332 KB |
Output is correct |
40 |
Correct |
0 ms |
332 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
0 ms |
344 KB |
Output is correct |
4 |
Correct |
0 ms |
332 KB |
Output is correct |
5 |
Correct |
0 ms |
332 KB |
Output is correct |
6 |
Correct |
0 ms |
332 KB |
Output is correct |
7 |
Correct |
1 ms |
332 KB |
Output is correct |
8 |
Correct |
1 ms |
332 KB |
Output is correct |
9 |
Correct |
0 ms |
332 KB |
Output is correct |
10 |
Correct |
0 ms |
332 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
0 ms |
332 KB |
Output is correct |
13 |
Correct |
0 ms |
332 KB |
Output is correct |
14 |
Correct |
0 ms |
332 KB |
Output is correct |
15 |
Correct |
1 ms |
332 KB |
Output is correct |
16 |
Correct |
1 ms |
332 KB |
Output is correct |
17 |
Correct |
1 ms |
332 KB |
Output is correct |
18 |
Correct |
0 ms |
332 KB |
Output is correct |
19 |
Correct |
1 ms |
332 KB |
Output is correct |
20 |
Correct |
1 ms |
332 KB |
Output is correct |
21 |
Correct |
1 ms |
332 KB |
Output is correct |
22 |
Correct |
1 ms |
332 KB |
Output is correct |
23 |
Correct |
1 ms |
332 KB |
Output is correct |
24 |
Correct |
1 ms |
332 KB |
Output is correct |
25 |
Correct |
1 ms |
460 KB |
Output is correct |
26 |
Correct |
1 ms |
460 KB |
Output is correct |
27 |
Correct |
0 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
1 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
1 ms |
332 KB |
Output is correct |
33 |
Correct |
1 ms |
408 KB |
Output is correct |
34 |
Correct |
1 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
0 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
1 ms |
332 KB |
Output is correct |
39 |
Correct |
0 ms |
332 KB |
Output is correct |
40 |
Correct |
0 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
2 ms |
460 KB |
Output is correct |
44 |
Correct |
2 ms |
460 KB |
Output is correct |
45 |
Correct |
5 ms |
716 KB |
Output is correct |
46 |
Correct |
5 ms |
716 KB |
Output is correct |
47 |
Correct |
8 ms |
716 KB |
Output is correct |
48 |
Correct |
9 ms |
836 KB |
Output is correct |
49 |
Correct |
11 ms |
956 KB |
Output is correct |
50 |
Correct |
11 ms |
844 KB |
Output is correct |
51 |
Correct |
16 ms |
1124 KB |
Output is correct |
52 |
Correct |
17 ms |
1100 KB |
Output is correct |
53 |
Correct |
8 ms |
716 KB |
Output is correct |
54 |
Correct |
8 ms |
840 KB |
Output is correct |
55 |
Correct |
8 ms |
840 KB |
Output is correct |
56 |
Correct |
8 ms |
716 KB |
Output is correct |
57 |
Correct |
8 ms |
716 KB |
Output is correct |
58 |
Correct |
8 ms |
716 KB |
Output is correct |
59 |
Correct |
8 ms |
716 KB |
Output is correct |
60 |
Correct |
9 ms |
844 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
1838 ms |
4264 KB |
Output is correct |
2 |
Correct |
1838 ms |
4384 KB |
Output is correct |
3 |
Correct |
1855 ms |
4272 KB |
Output is correct |
4 |
Correct |
1854 ms |
4380 KB |
Output is correct |
5 |
Correct |
1850 ms |
4380 KB |
Output is correct |
6 |
Correct |
1834 ms |
4388 KB |
Output is correct |
7 |
Correct |
1839 ms |
4292 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
0 ms |
332 KB |
Output is correct |
2 |
Correct |
0 ms |
332 KB |
Output is correct |
3 |
Correct |
1 ms |
332 KB |
Output is correct |
4 |
Correct |
1 ms |
332 KB |
Output is correct |
5 |
Correct |
27 ms |
728 KB |
Output is correct |
6 |
Correct |
171 ms |
1292 KB |
Output is correct |
7 |
Correct |
601 ms |
2284 KB |
Output is correct |
8 |
Correct |
1257 ms |
3276 KB |
Output is correct |
9 |
Correct |
2105 ms |
4384 KB |
Output is correct |
10 |
Correct |
1128 ms |
3196 KB |
Output is correct |
11 |
Correct |
0 ms |
332 KB |
Output is correct |
12 |
Correct |
213 ms |
1492 KB |
Output is correct |
13 |
Correct |
224 ms |
1500 KB |
Output is correct |
14 |
Correct |
226 ms |
1496 KB |
Output is correct |
15 |
Correct |
1026 ms |
3088 KB |
Output is correct |
16 |
Correct |
1047 ms |
3080 KB |
Output is correct |
17 |
Correct |
1082 ms |
3072 KB |
Output is correct |
18 |
Correct |
1861 ms |
4260 KB |
Output is correct |
19 |
Correct |
1953 ms |
4272 KB |
Output is correct |
20 |
Correct |
2027 ms |
4296 KB |
Output is correct |
21 |
Correct |
0 ms |
332 KB |
Output is correct |
22 |
Correct |
0 ms |
332 KB |
Output is correct |
23 |
Correct |
0 ms |
344 KB |
Output is correct |
24 |
Correct |
0 ms |
332 KB |
Output is correct |
25 |
Correct |
0 ms |
332 KB |
Output is correct |
26 |
Correct |
0 ms |
332 KB |
Output is correct |
27 |
Correct |
1 ms |
332 KB |
Output is correct |
28 |
Correct |
1 ms |
332 KB |
Output is correct |
29 |
Correct |
0 ms |
332 KB |
Output is correct |
30 |
Correct |
0 ms |
332 KB |
Output is correct |
31 |
Correct |
0 ms |
332 KB |
Output is correct |
32 |
Correct |
0 ms |
332 KB |
Output is correct |
33 |
Correct |
0 ms |
332 KB |
Output is correct |
34 |
Correct |
0 ms |
332 KB |
Output is correct |
35 |
Correct |
1 ms |
332 KB |
Output is correct |
36 |
Correct |
1 ms |
332 KB |
Output is correct |
37 |
Correct |
1 ms |
332 KB |
Output is correct |
38 |
Correct |
0 ms |
332 KB |
Output is correct |
39 |
Correct |
1 ms |
332 KB |
Output is correct |
40 |
Correct |
1 ms |
332 KB |
Output is correct |
41 |
Correct |
1 ms |
332 KB |
Output is correct |
42 |
Correct |
1 ms |
332 KB |
Output is correct |
43 |
Correct |
1 ms |
332 KB |
Output is correct |
44 |
Correct |
1 ms |
332 KB |
Output is correct |
45 |
Correct |
1 ms |
460 KB |
Output is correct |
46 |
Correct |
1 ms |
460 KB |
Output is correct |
47 |
Correct |
0 ms |
332 KB |
Output is correct |
48 |
Correct |
1 ms |
332 KB |
Output is correct |
49 |
Correct |
1 ms |
332 KB |
Output is correct |
50 |
Correct |
0 ms |
332 KB |
Output is correct |
51 |
Correct |
0 ms |
332 KB |
Output is correct |
52 |
Correct |
1 ms |
332 KB |
Output is correct |
53 |
Correct |
1 ms |
408 KB |
Output is correct |
54 |
Correct |
1 ms |
332 KB |
Output is correct |
55 |
Correct |
1 ms |
332 KB |
Output is correct |
56 |
Correct |
0 ms |
332 KB |
Output is correct |
57 |
Correct |
1 ms |
332 KB |
Output is correct |
58 |
Correct |
1 ms |
332 KB |
Output is correct |
59 |
Correct |
0 ms |
332 KB |
Output is correct |
60 |
Correct |
0 ms |
332 KB |
Output is correct |
61 |
Correct |
1 ms |
332 KB |
Output is correct |
62 |
Correct |
1 ms |
332 KB |
Output is correct |
63 |
Correct |
2 ms |
460 KB |
Output is correct |
64 |
Correct |
2 ms |
460 KB |
Output is correct |
65 |
Correct |
5 ms |
716 KB |
Output is correct |
66 |
Correct |
5 ms |
716 KB |
Output is correct |
67 |
Correct |
8 ms |
716 KB |
Output is correct |
68 |
Correct |
9 ms |
836 KB |
Output is correct |
69 |
Correct |
11 ms |
956 KB |
Output is correct |
70 |
Correct |
11 ms |
844 KB |
Output is correct |
71 |
Correct |
16 ms |
1124 KB |
Output is correct |
72 |
Correct |
17 ms |
1100 KB |
Output is correct |
73 |
Correct |
8 ms |
716 KB |
Output is correct |
74 |
Correct |
8 ms |
840 KB |
Output is correct |
75 |
Correct |
8 ms |
840 KB |
Output is correct |
76 |
Correct |
8 ms |
716 KB |
Output is correct |
77 |
Correct |
8 ms |
716 KB |
Output is correct |
78 |
Correct |
8 ms |
716 KB |
Output is correct |
79 |
Correct |
8 ms |
716 KB |
Output is correct |
80 |
Correct |
9 ms |
844 KB |
Output is correct |
81 |
Correct |
1838 ms |
4264 KB |
Output is correct |
82 |
Correct |
1838 ms |
4384 KB |
Output is correct |
83 |
Correct |
1855 ms |
4272 KB |
Output is correct |
84 |
Correct |
1854 ms |
4380 KB |
Output is correct |
85 |
Correct |
1850 ms |
4380 KB |
Output is correct |
86 |
Correct |
1834 ms |
4388 KB |
Output is correct |
87 |
Correct |
1839 ms |
4292 KB |
Output is correct |
88 |
Correct |
25 ms |
716 KB |
Output is correct |
89 |
Correct |
25 ms |
716 KB |
Output is correct |
90 |
Correct |
146 ms |
1228 KB |
Output is correct |
91 |
Correct |
149 ms |
1292 KB |
Output is correct |
92 |
Correct |
536 ms |
2408 KB |
Output is correct |
93 |
Correct |
547 ms |
2288 KB |
Output is correct |
94 |
Correct |
1119 ms |
3400 KB |
Output is correct |
95 |
Correct |
1127 ms |
3276 KB |
Output is correct |
96 |
Correct |
1519 ms |
3992 KB |
Output is correct |
97 |
Correct |
1535 ms |
3864 KB |
Output is correct |
98 |
Correct |
984 ms |
3084 KB |
Output is correct |
99 |
Correct |
980 ms |
3072 KB |
Output is correct |
100 |
Correct |
984 ms |
3076 KB |
Output is correct |
101 |
Correct |
990 ms |
3080 KB |
Output is correct |
102 |
Correct |
989 ms |
3140 KB |
Output is correct |
103 |
Correct |
1000 ms |
3204 KB |
Output is correct |
104 |
Correct |
993 ms |
3080 KB |
Output is correct |
105 |
Correct |
929 ms |
3076 KB |
Output is correct |