oj.uz

Submission #320398

# Submission time Handle Problem Language Result Execution time Memory
320398 2020-11-08T15:32:24 Z AmineWeslati Collecting Stamps 3 (JOI20_ho_t3) C++14
100 / 100
 386 ms 127656 KB 
//Never stop trying
/*#pragma GCC target ("avx2")
#pragma GCC optimize ("Ofast")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops")*/
#include "bits/stdc++.h"
using namespace std;
#define boost ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

typedef long long ll;
#define int ll
typedef string str;
typedef double db;
typedef long double ld;
typedef pair<int, int> pi;
#define fi first
#define se second
typedef vector<int> vi;
typedef vector<pi> vpi;
typedef vector<str> vs;
typedef vector<ld> vd;
#define pb push_back
#define eb emplace_back
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define endl "\n"

#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)

const int MOD = 1e9 + 7; //998244353
const ll INF = 1e18;
const int MX = 2e5 + 10;
const int nx[4] = {0, 0, 1, -1}, ny[4] = {1, -1, 0, 0}; //right left down up

template<class T> using V = vector<T>;
template<class T> bool ckmin(T& a, const T& b) { return a > b ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }

ll cdiv(ll a, ll b) { return a / b + ((a ^ b) > 0 && a % b); } // divide a by b rounded up
//constexpr int log2(int x) { return 31 - __builtin_clz(x); } // floor(log2(x))

mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
//mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());

ll random(ll a, ll b){
    return a + rng() % (b - a + 1);
}

#ifndef LOCAL  
#define cerr if(false) cerr
#endif
#define dbg(x) cerr << #x << " : " << x << endl; 
#define dbgs(x,y) cerr << #x << " : " << x << " / " << #y << " : " << y << endl;
#define dbgv(v) cerr << #v << " : " << "[ "; for(auto it : v) cerr << it << ' '; cerr << ']' << endl;
#define here() cerr << "here" << endl;

void IO() {
#ifdef LOCAL
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
}

int memo[201][201][2][201];
//minimum time to visit first i CW and first j CCW 
//and be at side (0,CW/1,CCW) and collect n stamps

int nbCW[202],nbCCW[202],distCW[202],distCCW[202],TCW[202],TCCW[202];

int solve(int i, int j, int side, int n){
	//Base cases
	if(i==0 && j==0){
		if(n==0) return 0;
		return INF;
	}
	if(i==0 && side==0){
		if(nbCW[j]>=n) return distCW[j]*2;
		return INF;
	}
	if(j==0 && side==1){
		if(nbCCW[i]>=n) return distCCW[i]*2;
		return INF;
	}

	if(memo[i][j][side][n]!=-1) return memo[i][j][side][n];
	int ans=INF;

	//Transitions
	if(side==1){ //CW side
		assert(j);
		ckmin(ans, solve(i,j-1,side,n) + distCW[j]-distCW[j-1]);
		ckmin(ans, solve(i,j-1,1-side,n) + distCCW[i]+distCW[j]);

		if(n){
			int x=solve(i,j-1,side,n-1) + distCW[j]-distCW[j-1];
			if(x<=TCW[j]) ckmin(ans,x);

			x=solve(i,j-1,1-side,n-1) + distCCW[i]+distCW[j];
			if(x<=TCW[j]) ckmin(ans,x);
		}
	}
	else{
		assert(i);
		ckmin(ans, solve(i-1,j,side,n) + distCCW[i]-distCCW[i-1]);
		ckmin(ans, solve(i-1,j,1-side,n) + distCCW[i]+distCW[j]);

		if(n){
			int x=solve(i-1,j,side,n-1) + distCCW[i]-distCCW[i-1];
			if(x<=TCCW[i]) ckmin(ans,x);

			x=solve(i-1,j,1-side,n-1) + distCCW[i]+distCW[j];
			if(x<=TCCW[i]) ckmin(ans,x);
		}
	}

	return memo[i][j][side][n]=ans;
}

int32_t main() {
    boost; IO();
    memset(memo,-1,sizeof(memo));

    int N,L; cin>>N>>L;
    vi X(N),T(N);
    FOR(i,0,N) cin>>X[i];
    FOR(i,0,N) cin>>T[i];

    FOR(i,0,N) TCW[i+1]=T[i];
    reverse(all(T));
    FOR(i,0,N) TCCW[i+1]=T[i];

    //FOR(i,1,N+1) cout << TCCW[i] << ' '; cout << endl;

    vi v; 
    v.assign(all(X));
    FOR(i,0,N){
    	distCW[i+1]=v[i];
	}
    distCW[0]=0;

	v.assign(all(X)); reverse(all(v)); FOR(i,0,N) v[i]=L-v[i];
    FOR(i,0,N){
    	distCCW[i+1]=v[i];
	}
    distCCW[0]=0;

    //FOR(i,1,N+1) cout << distCW[i] << ' '; cout << endl;

    int nb=0;
    FOR(i,1,N+1){
    	int x=distCW[i];
    	if(TCW[i]>=x) nb++;
    	nbCW[i]=nb;
    }
    nb=0;
    FOR(i,1,N+1){
    	int x=distCCW[i];
    	if(TCCW[i]>=x) nb++;
    	nbCCW[i]=nb;
    }

    //FOR(i,1,N+1) cout << nbCW[i] << ' '; cout << endl;

    int ans=0;
    FOR(i,0,N+1) FOR(j,0,N-i+1) FOR(n,1,N+1){
    	assert(i+j<=N);
    	int x=min(solve(i,j,0,n),solve(i,j,1,n));
    	if(x<INF) ckmax(ans,n);
    }
    cout << ans << endl;
    

    return 0;
}

/* Careful!!!
    .Array bounds
    .Infinite loops
    .Uninitialized variables / empty containers
    .Multisets are shit

   Some insights:
    .Binary search
    .Graph representation
    .Write brute force code
    .Change your approach
*/

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 127460 KB Output is correct
2 Correct 59 ms 127460 KB Output is correct
3 Correct 60 ms 127460 KB Output is correct
4 Correct 65 ms 127528 KB Output is correct
5 Correct 59 ms 127464 KB Output is correct
6 Correct 60 ms 127460 KB Output is correct
7 Correct 59 ms 127460 KB Output is correct
8 Correct 62 ms 127460 KB Output is correct
9 Correct 60 ms 127460 KB Output is correct
10 Correct 61 ms 127460 KB Output is correct
11 Correct 59 ms 127460 KB Output is correct
12 Correct 60 ms 127460 KB Output is correct
13 Correct 59 ms 127524 KB Output is correct
14 Correct 59 ms 127460 KB Output is correct
15 Correct 69 ms 127460 KB Output is correct
16 Correct 59 ms 127424 KB Output is correct
17 Correct 69 ms 127460 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 127460 KB Output is correct
2 Correct 59 ms 127460 KB Output is correct
3 Correct 60 ms 127460 KB Output is correct
4 Correct 65 ms 127528 KB Output is correct
5 Correct 59 ms 127464 KB Output is correct
6 Correct 60 ms 127460 KB Output is correct
7 Correct 59 ms 127460 KB Output is correct
8 Correct 62 ms 127460 KB Output is correct
9 Correct 60 ms 127460 KB Output is correct
10 Correct 61 ms 127460 KB Output is correct
11 Correct 59 ms 127460 KB Output is correct
12 Correct 60 ms 127460 KB Output is correct
13 Correct 59 ms 127524 KB Output is correct
14 Correct 59 ms 127460 KB Output is correct
15 Correct 69 ms 127460 KB Output is correct
16 Correct 59 ms 127424 KB Output is correct
17 Correct 69 ms 127460 KB Output is correct
18 Correct 61 ms 127460 KB Output is correct
19 Correct 59 ms 127436 KB Output is correct
20 Correct 62 ms 127460 KB Output is correct
21 Correct 62 ms 127464 KB Output is correct
22 Correct 63 ms 127460 KB Output is correct
23 Correct 63 ms 127460 KB Output is correct
24 Correct 60 ms 127460 KB Output is correct
25 Correct 61 ms 127460 KB Output is correct
26 Correct 63 ms 127460 KB Output is correct
27 Correct 61 ms 127512 KB Output is correct
28 Correct 60 ms 127460 KB Output is correct
29 Correct 60 ms 127460 KB Output is correct
30 Correct 63 ms 127496 KB Output is correct
31 Correct 62 ms 127460 KB Output is correct
32 Correct 66 ms 127460 KB Output is correct
33 Correct 60 ms 127460 KB Output is correct
34 Correct 66 ms 127560 KB Output is correct
35 Correct 63 ms 127456 KB Output is correct

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 127460 KB Output is correct
2 Correct 59 ms 127460 KB Output is correct
3 Correct 60 ms 127460 KB Output is correct
4 Correct 65 ms 127528 KB Output is correct
5 Correct 59 ms 127464 KB Output is correct
6 Correct 60 ms 127460 KB Output is correct
7 Correct 59 ms 127460 KB Output is correct
8 Correct 62 ms 127460 KB Output is correct
9 Correct 60 ms 127460 KB Output is correct
10 Correct 61 ms 127460 KB Output is correct
11 Correct 59 ms 127460 KB Output is correct
12 Correct 60 ms 127460 KB Output is correct
13 Correct 59 ms 127524 KB Output is correct
14 Correct 59 ms 127460 KB Output is correct
15 Correct 69 ms 127460 KB Output is correct
16 Correct 59 ms 127424 KB Output is correct
17 Correct 69 ms 127460 KB Output is correct
18 Correct 262 ms 127624 KB Output is correct
19 Correct 171 ms 127480 KB Output is correct
20 Correct 99 ms 127536 KB Output is correct
21 Correct 157 ms 127536 KB Output is correct
22 Correct 192 ms 127588 KB Output is correct
23 Correct 93 ms 127460 KB Output is correct
24 Correct 81 ms 127460 KB Output is correct
25 Correct 91 ms 127460 KB Output is correct
26 Correct 66 ms 127460 KB Output is correct
27 Correct 91 ms 127588 KB Output is correct
28 Correct 77 ms 127456 KB Output is correct
29 Correct 90 ms 127460 KB Output is correct
30 Correct 81 ms 127460 KB Output is correct
31 Correct 93 ms 127588 KB Output is correct
32 Correct 72 ms 127460 KB Output is correct
33 Correct 88 ms 127588 KB Output is correct
34 Correct 66 ms 127460 KB Output is correct
35 Correct 89 ms 127460 KB Output is correct
36 Correct 70 ms 127460 KB Output is correct
37 Correct 92 ms 127460 KB Output is correct
38 Correct 73 ms 127460 KB Output is correct
39 Correct 92 ms 127460 KB Output is correct
40 Correct 75 ms 127460 KB Output is correct
41 Correct 333 ms 127460 KB Output is correct
42 Correct 209 ms 127460 KB Output is correct
43 Correct 331 ms 127588 KB Output is correct
44 Correct 211 ms 127588 KB Output is correct
45 Correct 386 ms 127464 KB Output is correct
46 Correct 209 ms 127588 KB Output is correct

Subtask #4
75.0 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 60 ms 127460 KB Output is correct
2 Correct 59 ms 127460 KB Output is correct
3 Correct 60 ms 127460 KB Output is correct
4 Correct 65 ms 127528 KB Output is correct
5 Correct 59 ms 127464 KB Output is correct
6 Correct 60 ms 127460 KB Output is correct
7 Correct 59 ms 127460 KB Output is correct
8 Correct 62 ms 127460 KB Output is correct
9 Correct 60 ms 127460 KB Output is correct
10 Correct 61 ms 127460 KB Output is correct
11 Correct 59 ms 127460 KB Output is correct
12 Correct 60 ms 127460 KB Output is correct
13 Correct 59 ms 127524 KB Output is correct
14 Correct 59 ms 127460 KB Output is correct
15 Correct 69 ms 127460 KB Output is correct
16 Correct 59 ms 127424 KB Output is correct
17 Correct 69 ms 127460 KB Output is correct
18 Correct 61 ms 127460 KB Output is correct
19 Correct 59 ms 127436 KB Output is correct
20 Correct 62 ms 127460 KB Output is correct
21 Correct 62 ms 127464 KB Output is correct
22 Correct 63 ms 127460 KB Output is correct
23 Correct 63 ms 127460 KB Output is correct
24 Correct 60 ms 127460 KB Output is correct
25 Correct 61 ms 127460 KB Output is correct
26 Correct 63 ms 127460 KB Output is correct
27 Correct 61 ms 127512 KB Output is correct
28 Correct 60 ms 127460 KB Output is correct
29 Correct 60 ms 127460 KB Output is correct
30 Correct 63 ms 127496 KB Output is correct
31 Correct 62 ms 127460 KB Output is correct
32 Correct 66 ms 127460 KB Output is correct
33 Correct 60 ms 127460 KB Output is correct
34 Correct 66 ms 127560 KB Output is correct
35 Correct 63 ms 127456 KB Output is correct
36 Correct 262 ms 127624 KB Output is correct
37 Correct 171 ms 127480 KB Output is correct
38 Correct 99 ms 127536 KB Output is correct
39 Correct 157 ms 127536 KB Output is correct
40 Correct 192 ms 127588 KB Output is correct
41 Correct 93 ms 127460 KB Output is correct
42 Correct 81 ms 127460 KB Output is correct
43 Correct 91 ms 127460 KB Output is correct
44 Correct 66 ms 127460 KB Output is correct
45 Correct 91 ms 127588 KB Output is correct
46 Correct 77 ms 127456 KB Output is correct
47 Correct 90 ms 127460 KB Output is correct
48 Correct 81 ms 127460 KB Output is correct
49 Correct 93 ms 127588 KB Output is correct
50 Correct 72 ms 127460 KB Output is correct
51 Correct 88 ms 127588 KB Output is correct
52 Correct 66 ms 127460 KB Output is correct
53 Correct 89 ms 127460 KB Output is correct
54 Correct 70 ms 127460 KB Output is correct
55 Correct 92 ms 127460 KB Output is correct
56 Correct 73 ms 127460 KB Output is correct
57 Correct 92 ms 127460 KB Output is correct
58 Correct 75 ms 127460 KB Output is correct
59 Correct 333 ms 127460 KB Output is correct
60 Correct 209 ms 127460 KB Output is correct
61 Correct 331 ms 127588 KB Output is correct
62 Correct 211 ms 127588 KB Output is correct
63 Correct 386 ms 127464 KB Output is correct
64 Correct 209 ms 127588 KB Output is correct
65 Correct 294 ms 127460 KB Output is correct
66 Correct 267 ms 127588 KB Output is correct
67 Correct 253 ms 127544 KB Output is correct
68 Correct 229 ms 127460 KB Output is correct
69 Correct 298 ms 127540 KB Output is correct
70 Correct 320 ms 127460 KB Output is correct
71 Correct 281 ms 127456 KB Output is correct
72 Correct 297 ms 127588 KB Output is correct
73 Correct 258 ms 127460 KB Output is correct
74 Correct 244 ms 127456 KB Output is correct
75 Correct 273 ms 127592 KB Output is correct
76 Correct 328 ms 127588 KB Output is correct
77 Correct 321 ms 127588 KB Output is correct
78 Correct 239 ms 127592 KB Output is correct
79 Correct 243 ms 127460 KB Output is correct
80 Correct 312 ms 127588 KB Output is correct
81 Correct 245 ms 127460 KB Output is correct
82 Correct 279 ms 127460 KB Output is correct
83 Correct 335 ms 127460 KB Output is correct
84 Correct 276 ms 127460 KB Output is correct
85 Correct 303 ms 127588 KB Output is correct
86 Correct 307 ms 127460 KB Output is correct
87 Correct 270 ms 127588 KB Output is correct
88 Correct 354 ms 127460 KB Output is correct
89 Correct 337 ms 127656 KB Output is correct
90 Correct 272 ms 127460 KB Output is correct
91 Correct 364 ms 127592 KB Output is correct
92 Correct 343 ms 127544 KB Output is correct
93 Correct 332 ms 127540 KB Output is correct