oj.uz

Submission #268117

# Submission time Handle Problem Language Result Execution time Memory
268117 2020-08-16T08:54:10 Z shayan_p Koala Game (APIO17_koala) C++14
100 / 100
 91 ms 516 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];
    int L = 1, R = 9;
    while(true){
	int d = (L+R) >> 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;
	}
	if(X && Y)
	    L = d+1;
	else
	    R = d-1;
    }
    assert(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 6 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 24 ms 384 KB Output is correct
2 Correct 24 ms 384 KB Output is correct
3 Correct 25 ms 384 KB Output is correct
4 Correct 24 ms 384 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 86 ms 384 KB Output is correct
2 Correct 91 ms 384 KB Output is correct
3 Correct 78 ms 384 KB Output is correct
4 Correct 79 ms 384 KB Output is correct
5 Correct 81 ms 384 KB Output is correct
6 Correct 80 ms 384 KB Output is correct
7 Correct 77 ms 384 KB Output is correct
8 Correct 79 ms 384 KB Output is correct
9 Correct 81 ms 384 KB Output is correct
10 Correct 80 ms 516 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 384 KB Output is correct
2 Correct 12 ms 384 KB Output is correct
3 Correct 12 ms 384 KB Output is correct
4 Correct 11 ms 384 KB Output is correct
5 Correct 12 ms 384 KB Output is correct
6 Correct 17 ms 384 KB Output is correct
7 Correct 12 ms 512 KB Output is correct
8 Correct 12 ms 384 KB Output is correct
9 Correct 12 ms 384 KB Output is correct
10 Correct 12 ms 384 KB Output is correct
11 Correct 12 ms 384 KB Output is correct
12 Correct 11 ms 384 KB Output is correct
13 Correct 11 ms 384 KB Output is correct
14 Correct 11 ms 384 KB Output is correct
15 Correct 11 ms 384 KB Output is correct
16 Correct 12 ms 384 KB Output is correct
17 Correct 11 ms 384 KB Output is correct
18 Correct 13 ms 384 KB Output is correct
19 Correct 11 ms 384 KB Output is correct
20 Correct 12 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 6 ms 384 KB Output is correct
5 Correct 7 ms 384 KB Output is correct
6 Correct 6 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 6 ms 384 KB Output is correct
9 Correct 8 ms 512 KB Output is correct
10 Correct 7 ms 384 KB Output is correct
11 Correct 6 ms 384 KB Output is correct
12 Correct 6 ms 384 KB Output is correct
13 Correct 6 ms 384 KB Output is correct
14 Correct 6 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 6 ms 384 KB Output is correct
21 Correct 6 ms 384 KB Output is correct
22 Correct 6 ms 384 KB Output is correct
23 Correct 6 ms 384 KB Output is correct
24 Correct 6 ms 384 KB Output is correct
25 Correct 6 ms 384 KB Output is correct
26 Correct 6 ms 384 KB Output is correct
27 Correct 6 ms 512 KB Output is correct
28 Correct 7 ms 384 KB Output is correct
29 Correct 7 ms 384 KB Output is correct
30 Correct 7 ms 384 KB Output is correct
31 Correct 6 ms 384 KB Output is correct
32 Correct 6 ms 384 KB Output is correct
33 Correct 6 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 7 ms 384 KB Output is correct
38 Correct 7 ms 384 KB Output is correct
39 Correct 6 ms 416 KB Output is correct
40 Correct 6 ms 384 KB Output is correct