Submission #332963

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
332963	2020-12-04T04:57:29 Z	limabeans	Collecting Stamps 3 (JOI20_ho_t3)	C++17	100 / 100	363 ms	135412 KB

ho_t3

#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;

const ll inf = 1e18;
const int maxn = 205;



ll n,l;
ll x[maxn], t[maxn];


ll dp[maxn][maxn][2][maxn]; // left end, right end, which end?, taken


// 0, 1,2,...,n
// n+1

ll f(int l, int r, int p, int taken) {
    if (l<0 || l>n+1) return inf;
    if (r<0 || r>n+1) return inf;
    if (p<0) return inf;
    ll &res = dp[l][r][p][taken];
    if (~res) return res;
    res = inf;

    // don't take
    if (p==0 && l>0) {
	res = min(res, f(l-1,r,0,taken)+(x[l]-x[l-1]));
	res = min(res, f(l-1,r,1,taken)+(x[n+1]-x[r])+x[l]);
    }
    if (p==1 && r<n+1) {
	res = min(res, f(l,r+1,1,taken)+(x[r+1]-x[r]));
	res = min(res, f(l,r+1,0,taken)+x[l]+(x[n+1]-x[r]));
    }

    // take
    if (taken>0) {
	ll tmp = -1;
	if (p==0 && l>0) {
	    tmp = f(l-1,r,0,taken-1)+(x[l]-x[l-1]);
	    if (tmp<=t[l]) {
		res = min(res, tmp);
	    }
	    tmp = f(l-1,r,1,taken-1)+(x[n+1]-x[r])+x[l];
	    if (tmp<=t[l]) {
		res = min(res, tmp);
	    }
	}
	
	if (p==1 && r<n+1) {
	    tmp = f(l,r+1,1,taken-1)+(x[r+1]-x[r]);
	    if (tmp<=t[r]) {
		res = min(res, tmp);
	    }
	    tmp = f(l,r+1,0,taken-1)+(x[n+1]-x[r])+x[l];
	    if (tmp<=t[r]) {
		res = min(res, tmp);
	    }
	}
    }
    
    return res;
}

int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    cin>>n>>l;
    for (int i=1; i<=n; i++) {
	cin>>x[i];
    }
    x[0] = 0;
    x[n+1] = l;
    
    for (int i=1; i<=n; i++) {
	cin>>t[i];
    }

    int ans = 0;
    memset(dp,-1,sizeof(dp));
    dp[0][n+1][0][0] = 0;
    dp[0][n+1][1][0] = 0;

    for (int x=0; x<n+1; x++) {
	for (int taken=1; taken<=n; taken++) {
	    if (f(x,x+1,0,taken)<inf) ans = max(ans, taken);
	    if (f(x,x+1,1,taken)<inf) ans = max(ans, taken);
	}
    }


    cout<<ans<<endl;    
    return 0;
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	73 ms	135148 KB	Output is correct
2	Correct	69 ms	135276 KB	Output is correct
3	Correct	70 ms	135292 KB	Output is correct
4	Correct	70 ms	135148 KB	Output is correct
5	Correct	70 ms	135148 KB	Output is correct
6	Correct	71 ms	135148 KB	Output is correct
7	Correct	69 ms	135148 KB	Output is correct
8	Correct	69 ms	135148 KB	Output is correct
9	Correct	69 ms	135148 KB	Output is correct
10	Correct	71 ms	135148 KB	Output is correct
11	Correct	70 ms	135296 KB	Output is correct
12	Correct	69 ms	135148 KB	Output is correct
13	Correct	70 ms	135148 KB	Output is correct
14	Correct	71 ms	135148 KB	Output is correct
15	Correct	71 ms	135148 KB	Output is correct
16	Correct	71 ms	135276 KB	Output is correct
17	Correct	69 ms	135276 KB	Output is correct

Subtask #2
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	73 ms	135148 KB	Output is correct
2	Correct	69 ms	135276 KB	Output is correct
3	Correct	70 ms	135292 KB	Output is correct
4	Correct	70 ms	135148 KB	Output is correct
5	Correct	70 ms	135148 KB	Output is correct
6	Correct	71 ms	135148 KB	Output is correct
7	Correct	69 ms	135148 KB	Output is correct
8	Correct	69 ms	135148 KB	Output is correct
9	Correct	69 ms	135148 KB	Output is correct
10	Correct	71 ms	135148 KB	Output is correct
11	Correct	70 ms	135296 KB	Output is correct
12	Correct	69 ms	135148 KB	Output is correct
13	Correct	70 ms	135148 KB	Output is correct
14	Correct	71 ms	135148 KB	Output is correct
15	Correct	71 ms	135148 KB	Output is correct
16	Correct	71 ms	135276 KB	Output is correct
17	Correct	69 ms	135276 KB	Output is correct
18	Correct	69 ms	135148 KB	Output is correct
19	Correct	68 ms	135148 KB	Output is correct
20	Correct	72 ms	135148 KB	Output is correct
21	Correct	70 ms	135148 KB	Output is correct
22	Correct	71 ms	135148 KB	Output is correct
23	Correct	68 ms	135148 KB	Output is correct
24	Correct	70 ms	135404 KB	Output is correct
25	Correct	69 ms	135148 KB	Output is correct
26	Correct	70 ms	135276 KB	Output is correct
27	Correct	71 ms	135148 KB	Output is correct
28	Correct	69 ms	135148 KB	Output is correct
29	Correct	71 ms	135148 KB	Output is correct
30	Correct	70 ms	135148 KB	Output is correct
31	Correct	69 ms	135276 KB	Output is correct
32	Correct	69 ms	135148 KB	Output is correct
33	Correct	70 ms	135148 KB	Output is correct
34	Correct	71 ms	135148 KB	Output is correct
35	Correct	68 ms	135148 KB	Output is correct

Subtask #3
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	73 ms	135148 KB	Output is correct
2	Correct	69 ms	135276 KB	Output is correct
3	Correct	70 ms	135292 KB	Output is correct
4	Correct	70 ms	135148 KB	Output is correct
5	Correct	70 ms	135148 KB	Output is correct
6	Correct	71 ms	135148 KB	Output is correct
7	Correct	69 ms	135148 KB	Output is correct
8	Correct	69 ms	135148 KB	Output is correct
9	Correct	69 ms	135148 KB	Output is correct
10	Correct	71 ms	135148 KB	Output is correct
11	Correct	70 ms	135296 KB	Output is correct
12	Correct	69 ms	135148 KB	Output is correct
13	Correct	70 ms	135148 KB	Output is correct
14	Correct	71 ms	135148 KB	Output is correct
15	Correct	71 ms	135148 KB	Output is correct
16	Correct	71 ms	135276 KB	Output is correct
17	Correct	69 ms	135276 KB	Output is correct
18	Correct	275 ms	135276 KB	Output is correct
19	Correct	167 ms	135276 KB	Output is correct
20	Correct	106 ms	135276 KB	Output is correct
21	Correct	165 ms	135276 KB	Output is correct
22	Correct	200 ms	135276 KB	Output is correct
23	Correct	98 ms	135276 KB	Output is correct
24	Correct	88 ms	135276 KB	Output is correct
25	Correct	100 ms	135276 KB	Output is correct
26	Correct	75 ms	135148 KB	Output is correct
27	Correct	102 ms	135276 KB	Output is correct
28	Correct	93 ms	135276 KB	Output is correct
29	Correct	101 ms	135276 KB	Output is correct
30	Correct	92 ms	135276 KB	Output is correct
31	Correct	96 ms	135276 KB	Output is correct
32	Correct	78 ms	135148 KB	Output is correct
33	Correct	99 ms	135276 KB	Output is correct
34	Correct	77 ms	135148 KB	Output is correct
35	Correct	98 ms	135276 KB	Output is correct
36	Correct	80 ms	135148 KB	Output is correct
37	Correct	100 ms	135276 KB	Output is correct
38	Correct	83 ms	135148 KB	Output is correct
39	Correct	100 ms	135276 KB	Output is correct
40	Correct	84 ms	135148 KB	Output is correct
41	Correct	357 ms	135284 KB	Output is correct
42	Correct	223 ms	135276 KB	Output is correct
43	Correct	350 ms	135404 KB	Output is correct
44	Correct	221 ms	135284 KB	Output is correct
45	Correct	359 ms	135276 KB	Output is correct
46	Correct	229 ms	135276 KB	Output is correct

Subtask #4
75.0 / 75.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	73 ms	135148 KB	Output is correct
2	Correct	69 ms	135276 KB	Output is correct
3	Correct	70 ms	135292 KB	Output is correct
4	Correct	70 ms	135148 KB	Output is correct
5	Correct	70 ms	135148 KB	Output is correct
6	Correct	71 ms	135148 KB	Output is correct
7	Correct	69 ms	135148 KB	Output is correct
8	Correct	69 ms	135148 KB	Output is correct
9	Correct	69 ms	135148 KB	Output is correct
10	Correct	71 ms	135148 KB	Output is correct
11	Correct	70 ms	135296 KB	Output is correct
12	Correct	69 ms	135148 KB	Output is correct
13	Correct	70 ms	135148 KB	Output is correct
14	Correct	71 ms	135148 KB	Output is correct
15	Correct	71 ms	135148 KB	Output is correct
16	Correct	71 ms	135276 KB	Output is correct
17	Correct	69 ms	135276 KB	Output is correct
18	Correct	69 ms	135148 KB	Output is correct
19	Correct	68 ms	135148 KB	Output is correct
20	Correct	72 ms	135148 KB	Output is correct
21	Correct	70 ms	135148 KB	Output is correct
22	Correct	71 ms	135148 KB	Output is correct
23	Correct	68 ms	135148 KB	Output is correct
24	Correct	70 ms	135404 KB	Output is correct
25	Correct	69 ms	135148 KB	Output is correct
26	Correct	70 ms	135276 KB	Output is correct
27	Correct	71 ms	135148 KB	Output is correct
28	Correct	69 ms	135148 KB	Output is correct
29	Correct	71 ms	135148 KB	Output is correct
30	Correct	70 ms	135148 KB	Output is correct
31	Correct	69 ms	135276 KB	Output is correct
32	Correct	69 ms	135148 KB	Output is correct
33	Correct	70 ms	135148 KB	Output is correct
34	Correct	71 ms	135148 KB	Output is correct
35	Correct	68 ms	135148 KB	Output is correct
36	Correct	275 ms	135276 KB	Output is correct
37	Correct	167 ms	135276 KB	Output is correct
38	Correct	106 ms	135276 KB	Output is correct
39	Correct	165 ms	135276 KB	Output is correct
40	Correct	200 ms	135276 KB	Output is correct
41	Correct	98 ms	135276 KB	Output is correct
42	Correct	88 ms	135276 KB	Output is correct
43	Correct	100 ms	135276 KB	Output is correct
44	Correct	75 ms	135148 KB	Output is correct
45	Correct	102 ms	135276 KB	Output is correct
46	Correct	93 ms	135276 KB	Output is correct
47	Correct	101 ms	135276 KB	Output is correct
48	Correct	92 ms	135276 KB	Output is correct
49	Correct	96 ms	135276 KB	Output is correct
50	Correct	78 ms	135148 KB	Output is correct
51	Correct	99 ms	135276 KB	Output is correct
52	Correct	77 ms	135148 KB	Output is correct
53	Correct	98 ms	135276 KB	Output is correct
54	Correct	80 ms	135148 KB	Output is correct
55	Correct	100 ms	135276 KB	Output is correct
56	Correct	83 ms	135148 KB	Output is correct
57	Correct	100 ms	135276 KB	Output is correct
58	Correct	84 ms	135148 KB	Output is correct
59	Correct	357 ms	135284 KB	Output is correct
60	Correct	223 ms	135276 KB	Output is correct
61	Correct	350 ms	135404 KB	Output is correct
62	Correct	221 ms	135284 KB	Output is correct
63	Correct	359 ms	135276 KB	Output is correct
64	Correct	229 ms	135276 KB	Output is correct
65	Correct	315 ms	135276 KB	Output is correct
66	Correct	294 ms	135404 KB	Output is correct
67	Correct	268 ms	135276 KB	Output is correct
68	Correct	244 ms	135276 KB	Output is correct
69	Correct	310 ms	135404 KB	Output is correct
70	Correct	300 ms	135276 KB	Output is correct
71	Correct	298 ms	135276 KB	Output is correct
72	Correct	303 ms	135276 KB	Output is correct
73	Correct	275 ms	135276 KB	Output is correct
74	Correct	259 ms	135276 KB	Output is correct
75	Correct	283 ms	135276 KB	Output is correct
76	Correct	363 ms	135308 KB	Output is correct
77	Correct	342 ms	135288 KB	Output is correct
78	Correct	255 ms	135220 KB	Output is correct
79	Correct	328 ms	135288 KB	Output is correct
80	Correct	340 ms	135404 KB	Output is correct
81	Correct	267 ms	135276 KB	Output is correct
82	Correct	276 ms	135368 KB	Output is correct
83	Correct	347 ms	135288 KB	Output is correct
84	Correct	291 ms	135412 KB	Output is correct
85	Correct	322 ms	135404 KB	Output is correct
86	Correct	314 ms	135404 KB	Output is correct
87	Correct	288 ms	135404 KB	Output is correct
88	Correct	358 ms	135276 KB	Output is correct
89	Correct	360 ms	135276 KB	Output is correct
90	Correct	288 ms	135276 KB	Output is correct
91	Correct	361 ms	135384 KB	Output is correct
92	Correct	355 ms	135276 KB	Output is correct
93	Correct	344 ms	135276 KB	Output is correct

Submission #332963

Compilation message

Subtask #1 5.0 / 5.0

Subtask #2 10.0 / 10.0

Subtask #3 10.0 / 10.0

Subtask #4 75.0 / 75.0

Subtask #1
5.0 / 5.0

Subtask #2
10.0 / 10.0

Subtask #3
10.0 / 10.0

Subtask #4
75.0 / 75.0