Submission #428699

# Submission time Handle Problem Language Result Execution time Memory
428699 2021-06-15T13:55:24 Z oolimry Sparklers (JOI17_sparklers) C++17
50 / 100
303 ms 34740 KB
#include <bits/stdc++.h>
using namespace std;
#define sz(x) (int) (x).size()
#define all(x) (x).begin(), (x).end()
#define show(x) cerr << #x << " is " << x << endl;
#define show2(x,y) cerr << #x << " is " << x << " " << #y << " is " << y << endl;
#define show3(x,y,z) cerr << #x << " is " << x << " " << #y << " is " << y << " " << #z << " is " << z << endl;
#define tern(cond, a, b) (cond ? a : b)
#define l first
#define r second
typedef long long lint;
typedef pair<lint,lint> ii;

const lint inf = 1e17;
lint n, K, TT, T; 
lint pos[100005];

ii memo[1005][1005];

ii dp(int l, int r){
	if(r < K) return ii(inf,-inf);
	if(l > K) return ii(inf,-inf);
	if(l == K and r == K) return ii(pos[K], pos[K]);
	if(memo[l][r] != ii(-1,-1)) return memo[l][r];
	
	lint dis = r-l;
	
	ii A = dp(l, r-1);
	A.l -= T, A.r += T;
	ii B = ii(pos[r] - dis*T, pos[r] + dis*T);
	
	ii res1 = ii(max(A.l, B.l), min(A.r, B.r));
	if(res1.l > res1.r) res1 = ii(inf,-inf);
	
	A = dp(l+1,r);
	A.l -= T, A.r += T;
	B = ii(pos[l] - dis*T, pos[l] + dis*T);
	ii res2 = ii(max(A.l, B.l), min(A.r, B.r));
	if(res2.l > res2.r) res2 = ii(inf,-inf);
	
	//show2(l,r);
	//show2(res1.l, res1.r);
	//show2(res2.l, res2.r);
	
	if(res1.l > res2.l) swap(res1, res2);
	
	
	if(res2.l <= 1e15 and res1.r >= -1e15) assert(res2.l <= res1.r + 1);
	ii newres = ii(min(res1.l,res2.l), max(res1.r,res2.r));
	
	if(newres.l > newres.r) newres = ii(inf,-inf);
	memo[l][r] = newres;
	//show2(newres.l, newres.r);
	return newres;
}

int main(){
	ios_base::sync_with_stdio(false); cin.tie(0);
	
	cin >> n >> K >> TT; K--;
	for(int i = 0;i < n;i++) cin >> pos[i];
	
	lint low = -1, high = 1e10 / TT;
	while(low != high-1){
		lint mid = (low+high)/2;
		T = mid * TT;
		for(int i = 0;i < n;i++) fill(memo[i], memo[i]+n, ii(-1,-1));
		
		ii res = dp(0,n-1);
		if(res.l <= res.r) high = mid;
		else low = mid;
		
	}
	
	cout << high;
}

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 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 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 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 1 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 204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 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 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 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 1 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 204 KB Output is correct
22 Correct 120 ms 11596 KB Output is correct
23 Correct 66 ms 7680 KB Output is correct
24 Correct 79 ms 11596 KB Output is correct
25 Correct 104 ms 16128 KB Output is correct
26 Correct 155 ms 16144 KB Output is correct
27 Correct 166 ms 16144 KB Output is correct
28 Correct 265 ms 16032 KB Output is correct
29 Correct 262 ms 16132 KB Output is correct
30 Correct 266 ms 16140 KB Output is correct
31 Correct 276 ms 16132 KB Output is correct
32 Correct 292 ms 16128 KB Output is correct
33 Correct 256 ms 16076 KB Output is correct
34 Correct 197 ms 16076 KB Output is correct
35 Correct 280 ms 16076 KB Output is correct
36 Correct 122 ms 16136 KB Output is correct
37 Correct 129 ms 16076 KB Output is correct
38 Correct 303 ms 16076 KB Output is correct
39 Correct 129 ms 16132 KB Output is correct
40 Correct 242 ms 16124 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 256 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 1 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 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 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 1 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 204 KB Output is correct
22 Correct 120 ms 11596 KB Output is correct
23 Correct 66 ms 7680 KB Output is correct
24 Correct 79 ms 11596 KB Output is correct
25 Correct 104 ms 16128 KB Output is correct
26 Correct 155 ms 16144 KB Output is correct
27 Correct 166 ms 16144 KB Output is correct
28 Correct 265 ms 16032 KB Output is correct
29 Correct 262 ms 16132 KB Output is correct
30 Correct 266 ms 16140 KB Output is correct
31 Correct 276 ms 16132 KB Output is correct
32 Correct 292 ms 16128 KB Output is correct
33 Correct 256 ms 16076 KB Output is correct
34 Correct 197 ms 16076 KB Output is correct
35 Correct 280 ms 16076 KB Output is correct
36 Correct 122 ms 16136 KB Output is correct
37 Correct 129 ms 16076 KB Output is correct
38 Correct 303 ms 16076 KB Output is correct
39 Correct 129 ms 16132 KB Output is correct
40 Correct 242 ms 16124 KB Output is correct
41 Runtime error 99 ms 34740 KB Execution killed with signal 11
42 Halted 0 ms 0 KB -