Submission #287691

# Submission time Handle Problem Language Result Execution time Memory
287691 2020-08-31T22:22:50 Z shayan_p Scales (IOI15_scales) C++17
100 / 100
98 ms 10104 KB
// Oh damn! Suddenly you're free to fly...

#include<bits/stdc++.h>
#include "scales.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 = 1e5 + 10, mod = 1e9 + 7, inf = 1e9 + 10;

int perms[720][6];
int arr[6];

struct node{
    vector<int> posib;
    int A, B, C, D, Task;
    node *v[3];
};
node* root;

int fnd(int id, int x){
    assert(id < 720);
    for(int i = 0; i < 6; i++)
	if(perms[id][i] == x)
	    return i;
    assert(0);
}
function<int(int,int,int,int,int)> calc[4] = {
					     [](int id, int a, int b, int c, int d = -1){
						 a = fnd(id, a), b = fnd(id, b), c = fnd(id, c);
						 int mx = max({a, b, c});
						 if(mx == a)
						     return 0;
						 if(mx == b)
						     return 1;
						 if(mx == c)
						     return 2;
						 assert(0);
					     },
					     [](int id, int a, int b, int c, int d  = -1){
						 a = fnd(id, a), b = fnd(id, b), c = fnd(id, c);
						 int A = a, B = b, C = c;
						 if(A > B)
						     swap(A, B);
						 if(A > C)
						     swap(A, C);
						 if(B > C)
						     swap(B, C);
						 if(B == a)
						     return 0;
						 if(B == b)
						     return 1;
						 if(B == c)
						     return 2;
						 assert(0);
					     },
					     [](int id, int a, int b, int c, int d = -1){
						 a = fnd(id, a), b = fnd(id, b), c = fnd(id, c);
						 int mn = min({a, b, c});
						 if(mn == a)
						     return 0;
						 if(mn == b)
						     return 1;
						 if(mn == c)
						     return 2;
						 assert(0);
					     },
					     [](int id, int a, int b, int c, int d){
						 a = fnd(id, a), b = fnd(id, b), c = fnd(id, c), d = fnd(id, d);
						 int A = a, B = b, C = c;
						 if(A > B)
						     swap(A, B);
						 if(A > C)
						     swap(A, C);
						 if(B > C)
						     swap(B, C);
						 int ret = -1;
						 if(d < A)
						     ret = A;
						 else if(d < B)
						     ret = B;
						 else if(d < C)
						     ret = C;
						 else
						     ret = A;
						 if(a == ret)
						     return 0;
						 if(b == ret)
						     return 1;
						 if(c == ret)
						     return 2;
						 assert(0);
					     }
};
int mx_task(int task, vector<int> &v, int a, int b, int c, int d = -1){
    int sc[3] = {0, 0, 0};
    for(int id : v)
	sc[calc[task](id, a, b, c, d)]++;
    return max({sc[0], sc[1], sc[2]});
}
int dif_task(int task, vector<int> &v, int a, int b, int c, int d = -1){
    int sc[3] = {0, 0, 0};
    for(int id : v)
	sc[calc[task](id, a, b, c, d)]++;
    return max({sc[0], sc[1], sc[2]}) - min({sc[0], sc[1], sc[2]});
}
void fil_task(int task, node *u, int a, int b, int c, int d = -1){
    u->A = a, u->B = b, u->C = c, u->D = d, u->Task = task;
    u->v[0] = new node(), u->v[1] = new node(), u->v[2] = new node();
    for(int id : u->posib)
	u->v[calc[task](id, a, b, c, d)]->posib.PB(id);
}

int TW[10];

bool dfs(node* u, int h = 0){
    assert(h <= 6);
    if(h == 6)
	assert(sz(u->posib) <= 1);
    if(sz(u->posib) <= 1)
	return 1;
    for(int i = 0; i < 6; i++)
	for(int j = i+1; j < 6; j++)
	    for(int k = j+1; k < 6; k++){
		fil_task(0, u, i, j, k);
		if(mx_task(0, u->posib, i, j, k) <= TW[6-h-1] && dfs(u->v[0], h+1) && dfs(u->v[1], h+1) && dfs(u->v[2], h+1))
		    return 1;
		fil_task(1, u, i, j, k);
		if(mx_task(1, u->posib, i, j, k) <= TW[6-h-1] && dfs(u->v[0], h+1) && dfs(u->v[1], h+1) && dfs(u->v[2], h+1))
		    return 1;
		fil_task(2, u, i, j, k);
		if(mx_task(2, u->posib, i, j, k) <= TW[6-h-1] && dfs(u->v[0], h+1) && dfs(u->v[1], h+1) && dfs(u->v[2], h+1))
		    return 1;
		for(int w = 0; w < 6; w++){
		    if(w != i && w != j && w != k){
			fil_task(3, u, i, j, k, w);
			if(mx_task(3, u->posib, i, j, k, w) <= TW[6-h-1] && dfs(u->v[0], h+1) && dfs(u->v[1], h+1) && dfs(u->v[2], h+1))
			    return 1;			
		    }			
		}
	    }
    return 0;
    /*    int bst = inf, cntbst = 0;
    auto better = [&](int x){
		      if(x < bst)
			  bst = x, cntbst = 0;
		      cntbst+= x == bst;
		  };
    for(int i = 0; i < 6; i++)
	for(int j = i+1; j < 6; j++)
	    for(int k = j+1; k < 6; k++){
		better(dif_task(0, u->posib, i, j, k));
		better(dif_task(1, u->posib, i, j, k));
		better(dif_task(2, u->posib, i, j, k));
		for(int w = 0; w < 6; w++){
		    if(w != i && w != j && w != k){
			better(dif_task(3, u->posib, i, j, k, w));
		    }			
		}
	    }
    cntbst = rand() % cntbst;
    for(int i = 0; i < 6; i++)
	for(int j = i+1; j < 6; j++)
	    for(int k = j+1; k < 6; k++){
		if(bst == dif_task(0, u->posib, i, j, k) && cntbst-- == 0){
		    fil_task(0, u, i, j, k);
		    goto Hell;
		}
		if(bst == dif_task(1, u->posib, i, j, k) && cntbst-- == 0){
		    fil_task(1, u, i, j, k);
		    goto Hell;
		}
		if(bst == dif_task(2, u->posib, i, j, k) && cntbst-- == 0){
		    fil_task(2, u, i, j, k);
		    goto Hell;
		}
		for(int w = 0; w < 6; w++){
		    if(w != i && w != j && w != k){
			if(bst == dif_task(3, u->posib, i, j, k, w) && cntbst-- == 0){
			    fil_task(3, u, i, j, k, w);
			    goto Hell;
			}
		    }			
		}
	    }
 Hell:;
    cerr << sz(u->posib) << ": " << sz(u->v[0]->posib) << " " << sz(u->v[1]->posib) << " " << sz(u->v[2]->posib) << endl;
    dfs(u->v[0], h+1), dfs(u->v[1], h+1), dfs(u->v[2], h+1);
    return;*/
    
}
void init(int T){
    TW[0] = 1;
    for(int i = 1; i < 10; i++)
	TW[i] = 3 * TW[i-1];
    
    srand(time(0));
    
    iota(arr, arr + 6, 0);
    int C = 0;
    do{
	for(int i = 0; i < 6; i++)
	    perms[C][i] = arr[i];
	C++;
    }while(next_permutation(arr, arr + 6));
    root = new node();
    for(int i = 0; i < 720; i++){
	root->posib.PB(i);
    }
    dfs(root);
}

void orderCoins(){
    node *now = root;
    int asked = 0;
    while(sz(now->posib) > 1){
	int id = -1;
	if(now->Task == 0)
	    id = getHeaviest(now->A + 1, now->B + 1, now->C + 1);
	else if(now->Task == 1)
	    id = getMedian(now->A + 1, now->B + 1, now->C + 1);
	else if(now->Task == 2)
	    id = getLightest(now->A + 1, now->B + 1, now->C + 1);
	else if(now->Task == 3)
	    id = getNextLightest(now->A + 1, now->B + 1, now->C + 1, now->D + 1);
	if(id == now->A + 1)
	    id = 0;
	else if(id == now->B + 1)
	    id = 1;
	else
	    id = 2;
	now = now->v[id];
	asked++;
    }
    int ans[6];
    for(int i = 0; i < 6; i++){
	ans[i] = perms[now->posib[0]][i] + 1;
    }
    answer(ans);
    // answer
    // getHeaviest
    // getMedian
    // getLightest
    // getNextLightest
}

Compilation message

scales.cpp: In lambda function:
scales.cpp:37:47: warning: unused parameter 'd' [-Wunused-parameter]
   37 |           [](int id, int a, int b, int c, int d = -1){
      |                                           ~~~~^~~~~~
scales.cpp: In lambda function:
scales.cpp:48:47: warning: unused parameter 'd' [-Wunused-parameter]
   48 |           [](int id, int a, int b, int c, int d  = -1){
      |                                           ~~~~^~~~~~~
scales.cpp: In lambda function:
scales.cpp:65:47: warning: unused parameter 'd' [-Wunused-parameter]
   65 |           [](int id, int a, int b, int c, int d = -1){
      |                                           ~~~~^~~~~~
scales.cpp: In function 'void init(int)':
scales.cpp:205:15: warning: conversion from 'time_t' {aka 'long int'} to 'unsigned int' may change value [-Wconversion]
  205 |     srand(time(0));
      |           ~~~~^~~
scales.cpp:200:15: warning: unused parameter 'T' [-Wunused-parameter]
  200 | void init(int T){
      |           ~~~~^
# Verdict Execution time Memory Grader output
1 Correct 82 ms 10104 KB Output is correct
2 Correct 81 ms 9848 KB Output is correct
3 Correct 81 ms 9848 KB Output is correct
4 Correct 82 ms 9900 KB Output is correct
5 Correct 82 ms 9884 KB Output is correct
6 Correct 83 ms 9848 KB Output is correct
7 Correct 81 ms 9848 KB Output is correct
8 Correct 81 ms 9976 KB Output is correct
9 Correct 82 ms 9848 KB Output is correct
10 Correct 81 ms 9848 KB Output is correct
11 Correct 82 ms 9848 KB Output is correct
12 Correct 85 ms 9976 KB Output is correct
13 Correct 82 ms 9856 KB Output is correct
14 Correct 87 ms 9836 KB Output is correct
15 Correct 81 ms 9848 KB Output is correct
16 Correct 89 ms 9848 KB Output is correct
17 Correct 81 ms 9848 KB Output is correct
18 Correct 83 ms 9848 KB Output is correct
19 Correct 84 ms 9848 KB Output is correct
20 Correct 84 ms 9848 KB Output is correct
21 Correct 88 ms 9848 KB Output is correct
22 Correct 81 ms 9848 KB Output is correct
23 Correct 87 ms 9848 KB Output is correct
24 Correct 86 ms 9848 KB Output is correct
25 Correct 81 ms 9868 KB Output is correct
26 Correct 81 ms 9848 KB Output is correct
27 Correct 80 ms 9936 KB Output is correct
28 Correct 82 ms 9900 KB Output is correct
29 Correct 81 ms 9848 KB Output is correct
30 Correct 81 ms 9848 KB Output is correct
31 Correct 82 ms 9848 KB Output is correct
32 Correct 84 ms 9848 KB Output is correct
33 Correct 80 ms 9848 KB Output is correct
34 Correct 83 ms 9848 KB Output is correct
35 Correct 98 ms 9848 KB Output is correct
36 Correct 80 ms 9992 KB Output is correct
37 Correct 88 ms 9848 KB Output is correct
38 Correct 87 ms 9848 KB Output is correct
39 Correct 81 ms 9848 KB Output is correct
40 Correct 80 ms 9848 KB Output is correct