oj.uz

Submission #265222

# Submission time Handle Problem Language Result Execution time Memory
265222 2020-08-14T14:05:57 Z shayan_p Koala Game (APIO17_koala) C++14
96 / 100
 88 ms 512 KB 
// And you curse yourself for things you never done

#include<bits/stdc++.h>
#include "koala.h"

#define F first
#define S second
#define PB push_back
#define sz(s) int((s).size())
#define bit(n,k) (((n)>>(k))&1)

using namespace std;

typedef long long ll;
typedef pair<int,int> pii;

const int maxn = 110, mod = 1e9 + 7, inf = 1e9 + 10;

int minValue(int N, int W) {
    int A[maxn], B[maxn];
    memset(A, 0, sizeof A);
    memset(B, 0, sizeof B);
    A[0] = 1;
    playRound(A, B);
    if(B[0] <= 1)
	return 0;
    int ans = 0;
    for(int i = 1; i < N; i++)
	if(B[i] == 0)
	    ans = i;
    return ans;
}

int maxValue(int N, int W) {
    int SM[maxn];
    vector<pii> v[maxn];
    int h[maxn];
    pii pr[maxn];

    memset(SM, 0, sizeof SM);
    memset(h, -1, sizeof h);
    for(int i = 0; i < maxn; i++)
	v[i].clear();
    
    for(int i = 1; i <= N; i++)
	SM[i] = SM[i-1] + i;

    auto f = [&](int n, int cost, int top, int lim){
		 assert(top <= n);
		 int sm = 0, bst = 0;
		 for(int i = 0; i <= top; i++){
		     if(i * cost > lim)
			 break;
		     bst = max(bst, sm + SM[n-top] - SM[max(int(0), n-top-(lim - i*cost))]);
		     sm+= n-i;
		 }
		 sm = 0;
		 int bstid = -1;
		 for(int i = 0; i <= top; i++){
		     if(i * cost > lim)
			 break;
		     int num = sm + SM[n-top] - SM[max(int(0), n-top-(lim - i*cost))];
		     if(num == bst){
			 if(bstid == -1)
			     bstid = i;
			 if(bstid != i)
			     return -1;
		     }
		     sm+= n-i;
		 }
		 return bstid;
	     };

    
    for(int top = 100; top >= 1; top--){
	for(int cost = 2; top * (cost-1) <= 100; cost++){
	    int x =  f(100, cost, top, 100);
	    if(x != -1)
		v[top].PB({x, cost});
	}
    }

    queue<int> q;
    h[N] = 0;
    q.push(N);
    while(sz(q)){
	int u = q.front();
	q.pop();
	for(pii p : v[u])
	    if(h[p.F] == -1)
		pr[p.F] = {u, p.S}, h[p.F] = h[u] + 1, q.push(p.F);
    }

    vector<pii> tdo;
    int tmp = 1;
    while(tmp != N){
	tdo.PB(pr[tmp]);
	tmp = pr[tmp].F;
    }
    reverse(tdo.begin(), tdo.end());

    vector<int> big;
    for(int i = 0; i < N; i++){
	big.PB(i);
    }

    int A[maxn], B[maxn];
    bool inside[maxn];
    for(pii p : tdo){
	memset(A, 0, sizeof A);
	memset(B, 0, sizeof B);
	memset(inside, 0, sizeof inside);
	for(int id : big)
	    A[id] = p.S-1, inside[id] = 1;
	playRound(A, B);
	big.clear();
	for(int i = 0; i < N; i++){
	    if(inside[i] && B[i] >= p.S)
		big.PB(i);
	}
    }
    assert(sz(big) == 1);
    return big[0];
}

bool comp(int a, int b){
    int A[maxn], B[maxn];
    for(int d : {8, 4, 2, 1}){
	memset(A, 0, sizeof A);
	memset(B, 0, sizeof B);
	A[a] = d, A[b] = d;
	playRound(A, B);
	bool X = B[a] > d, Y = B[b] > d;
	if(X ^ Y){
	    if(X)
		return 0;
	    else
		return 1;
	}
    }
  assert(0);
    // case 1 2
    return 0;
}

int greaterValue(int N, int W) {
    return comp(0, 1);
}

int magic[maxn][maxn];

void go(int l, int r, vector<int> vec, int *P){
    int A[maxn], B[maxn];    
    if(r-l == 1){
	P[vec.back()] = l;
	return;
    }
    memset(A, 0, sizeof A);
    for(int x : vec){
	A[x] = magic[l][r];
    }
    playRound(A, B);
    vector<int> v1, v2;
    for(int i : vec){
	if(A[i] >= B[i])
	    v1.PB(i);
	else
	    v2.PB(i);				 
    }
    assert(!v1.empty() && !v2.empty());
    go(l, l + sz(v1), v1, P);
    go(l + sz(v1), r, v2, P);
}

void allValues(int N, int W, int *P) {
    int SM[maxn];
    SM[0] = 0;
    for(int i = 1; i < maxn; i++)
	SM[i] = SM[i-1] + i;
    auto f = [&](int l, int r, int cost){
		 pii bst = {-1, 0};
		 int ret = -1;
		 for(int i = r; i >= l && (r-i) * cost <= W; i--){
		     pii p = {SM[r-1] - SM[i], r-i};
		     int rst = W - (r-i) * cost;
		     if(rst <= N - r + 1)
			 p.S+= rst, p.F+= SM[N] - SM[N - rst];
		     else
			 rst-= (N-r+1), p.S+= (N-r+1), p.F+= SM[N] - SM[r-1];
		     rst = min(rst, l-1);
		     p.S+= rst, p.F+= SM[l-1] - SM[l-1-rst];

		     pii _ = bst;
		     bst = max(bst, p);
		     if(_ != bst)
			 ret = i;
		 }
		 return ret;
	     };
    for(int l = 1; l <= N; l++){
	for(int r = l+2; r <= N + 1; r++){
	    magic[l][r] = -1;
	    for(int cst = 1; cst * (r-l) <= W; cst++){
		int num = f(l, r, cst+1);
		if(num == -1){
		    P[0] = l, P[1] = r, P[2] = cst;
		    return;
		}
		    
		if(num != l && num != r){
		    magic[l][r] = cst;
		    break;
		}
	    }
	    assert(magic[l][r] != -1);
	}
    }
    vector<int> vec;
    for(int i = 0; i < N; i++)
	vec.PB(i);
    go(1, N + 1, vec, P);
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 384 KB Output is correct
2 Correct 6 ms 384 KB Output is correct
3 Correct 7 ms 384 KB Output is correct
4 Correct 6 ms 384 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 384 KB Output is correct
2 Correct 24 ms 384 KB Output is correct
3 Correct 31 ms 512 KB Output is correct
4 Correct 24 ms 384 KB Output is correct

Subtask #3
14.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 77 ms 512 KB Output is correct
2 Partially correct 72 ms 384 KB Output is partially correct
3 Correct 66 ms 384 KB Output is correct
4 Correct 67 ms 384 KB Output is correct
5 Partially correct 67 ms 384 KB Output is partially correct
6 Correct 70 ms 384 KB Output is correct
7 Partially correct 88 ms 384 KB Output is partially correct
8 Correct 69 ms 396 KB Output is correct
9 Correct 76 ms 416 KB Output is correct
10 Correct 68 ms 384 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 436 KB Output is correct
2 Correct 12 ms 384 KB Output is correct
3 Correct 16 ms 384 KB Output is correct
4 Correct 12 ms 384 KB Output is correct
5 Correct 16 ms 384 KB Output is correct
6 Correct 14 ms 384 KB Output is correct
7 Correct 16 ms 384 KB Output is correct
8 Correct 12 ms 384 KB Output is correct
9 Correct 17 ms 384 KB Output is correct
10 Correct 16 ms 384 KB Output is correct
11 Correct 12 ms 384 KB Output is correct
12 Correct 12 ms 384 KB Output is correct
13 Correct 12 ms 384 KB Output is correct
14 Correct 12 ms 384 KB Output is correct
15 Correct 15 ms 384 KB Output is correct
16 Correct 12 ms 384 KB Output is correct
17 Correct 12 ms 384 KB Output is correct
18 Correct 13 ms 384 KB Output is correct
19 Correct 12 ms 464 KB Output is correct
20 Correct 15 ms 384 KB Output is correct

Subtask #5
53.0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 384 KB Output is correct
2 Correct 6 ms 384 KB Output is correct
3 Correct 6 ms 384 KB Output is correct
4 Correct 7 ms 384 KB Output is correct
5 Correct 8 ms 384 KB Output is correct
6 Correct 7 ms 384 KB Output is correct
7 Correct 7 ms 384 KB Output is correct
8 Correct 8 ms 384 KB Output is correct
9 Correct 7 ms 384 KB Output is correct
10 Correct 7 ms 384 KB Output is correct
11 Correct 8 ms 384 KB Output is correct
12 Correct 6 ms 384 KB Output is correct
13 Correct 10 ms 384 KB Output is correct
14 Correct 7 ms 384 KB Output is correct
15 Correct 6 ms 384 KB Output is correct
16 Correct 7 ms 384 KB Output is correct
17 Correct 6 ms 384 KB Output is correct
18 Correct 6 ms 384 KB Output is correct
19 Correct 6 ms 384 KB Output is correct
20 Correct 7 ms 384 KB Output is correct
21 Correct 8 ms 384 KB Output is correct
22 Correct 6 ms 384 KB Output is correct
23 Correct 7 ms 384 KB Output is correct
24 Correct 7 ms 448 KB Output is correct
25 Correct 6 ms 384 KB Output is correct
26 Correct 6 ms 448 KB Output is correct
27 Correct 7 ms 384 KB Output is correct
28 Correct 8 ms 384 KB Output is correct
29 Correct 6 ms 384 KB Output is correct
30 Correct 6 ms 384 KB Output is correct
31 Correct 8 ms 360 KB Output is correct
32 Correct 7 ms 416 KB Output is correct
33 Correct 7 ms 384 KB Output is correct
34 Correct 6 ms 384 KB Output is correct
35 Correct 6 ms 384 KB Output is correct
36 Correct 6 ms 384 KB Output is correct
37 Correct 6 ms 416 KB Output is correct
38 Correct 6 ms 444 KB Output is correct
39 Correct 6 ms 384 KB Output is correct
40 Correct 6 ms 384 KB Output is correct