Submission #520534

# Submission time Handle Problem Language Result Execution time Memory
520534 2022-01-30T08:38:15 Z silverfish Scales (IOI15_scales) C++17
100 / 100
36 ms 484 KB
#include "scales.h"
#include <bits/stdc++.h>
using namespace std;
#define pb push_back
#define ar array
const int INF = 10000000;

int nextl(int a, int b, int c, int d, vector<int> &ind) {
    int al = 1;    
    a--; b--; c--; d--;
    if (ind[a] > ind[d] || ind[b] > ind[d] || ind[c] > ind[d]) al = 0;
    if (al == 1) {
        if (ind[a] < ind[b] && ind[a] < ind[c])return a + 1;
        if (ind[b] < ind[a] && ind[b] < ind[c])return b + 1;
        return c + 1;
    }
    if (ind[a] > ind[d])
        if ((ind[a] < ind[b] || ind[b] < ind[d]) && (ind[a] < ind[c]||ind[c]<ind[d]))return a + 1;
    if(ind[b] > ind[d])
        if((ind[b]<ind[a]||ind[a]<ind[d])&&(ind[b]<ind[c]||ind[c]<ind[d]))return b + 1;
    return c + 1;
}
int mid(int a, int b, int c, vector<int> &ind) {
    a--; b--; c--;
    if (ind[b] < ind[a] && ind[a] < ind[c])return a + 1;
    if (ind[c] < ind[a] && ind[a] < ind[b])return a + 1;
    if (ind[a] < ind[b] && ind[b] < ind[c])return b + 1;
    if (ind[c] < ind[b] && ind[b] < ind[a])return b + 1;
    return c + 1;
}
int heavy(int a, int b, int c, vector<int> &ind) {
    a--; b--; c--;
    if (ind[a] > ind[b] && ind[a] > ind[c])return a + 1;
    if (ind[b] > ind[a] && ind[b] > ind[c])return b + 1;
    return c + 1;
}
int light(int a, int b, int c, vector<int> &ind) {
    a--; b--; c--;
    if(ind[a]<ind[b]&&ind[a]<ind[c]) return a + 1;
    if(ind[b]<ind[a]&&ind[b]<ind[c]) return b + 1;
    return c + 1;
}

struct query{
	// 1 : nextl
	// 2 : light
	// 3 : mid
	// 4 : heavy
	int t;
	int a, b, c, d;

	int execute(int cp){
		vector<int> p(6), ind(6);
		for(int i = 5; i >= 0; --i) p[i]=(cp%10), cp/=10;
		for(int i = 0; i < 6; ++i) ind[p[i]-1] = i;

		switch(t){
			case 1:
				return nextl(a,b,c,d,ind);
			case 2:
				return light(a,b,c,ind);
			case 3:
				return mid(a,b,c,ind);
			case 4:
				return heavy(a,b,c,ind);
		}
		return -1;
	}

	int execute_real(){
		switch(t){
			case 1:
				return getNextLightest(a,b,c,d);
			case 2:
				return getLightest(a,b,c);
			case 3:
				return getMedian(a,b,c);
			case 4:
				return getHeaviest(a,b,c);
		}
		return -1;
	}
};

struct node{
	query cur;
	ar<node*, 7> nxt;
	int ansp=0;
};

int mxd = 0, first;
vector<query> allq;

void solve(node* rt, vector<int> p, int d){
	if(p.size() == 1){
		mxd = max(mxd, d);
		rt->ansp = p[0];
		return;
	}

	if(d == 0) rt->cur = allq[first];
	else{
		int mn = INF;
		query best;
		for(auto q : allq){
			int cnt[7] = {0};
			for(int cp : p) ++cnt[q.execute(cp)];
			int mx = 0;
			for(int i = 1; i <= 6; ++i) mx = max(mx, cnt[i]);	
			if(mx < mn){
				mn = mx;
				best = q;
			}
		}
		rt->cur = best;
	}

	vector<int> np[7];
	for(int cp : p) np[rt->cur.execute(cp)].pb(cp);
	for(int i = 1; i <= 6; ++i){
		if(np[i].size()){
			rt->nxt[i] = new node;
			solve(rt->nxt[i], np[i], d+1);
		}else rt->nxt[i] = nullptr;
	}
}


vector<int> allp;
node* rt = new node;

void gen_all(){
	for(int i=1;i<=6;++i) for(int j=i+1;j<=6;++j)
	for(int k=j+1;k<=6;++k){
		allq.pb({2,i,j,k});
		allq.pb({3,i,j,k});
		allq.pb({4,i,j,k});
	}
	
	for(int i = 1; i <= 6; ++i) for(int j = 1; j <= 6; ++j){
		if(j==i) continue;
		for(int k = j+1; k <= 6; ++k){
			if(k==i) continue;
			for(int a = k+1; a <= 6; ++a){
				if(a==i) continue;
				allq.pb({1,i,j,k,a});
			}
		}
	}
	vector<int> p = {1,2,3,4,5,6};
	do{
		int v=0, mul = 1;
		for(int i = 5; i >= 0; --i){
			v += p[i]*mul;
			mul *= 10;
		}
		allp.pb(v);
	}while(next_permutation(p.begin(), p.end()));

	return;
}

void init(int T) {
	gen_all();
	int mn = INF, mnpos=0;
	first = 1;
	solve(rt, allp, 0);
	//cout << mxd << '\n';
	return;
}
 
void orderCoins() {
	node* crt = rt;

	while(!crt->ansp){
		int v = crt->cur.execute_real();
		crt = crt->nxt[v];
	}

	int ans[6], cp = crt->ansp;
	for(int i = 5; i >= 0; --i) ans[i]=(cp%10), cp/=10;
	answer(ans);
	return;
}

Compilation message

scales.cpp: In function 'void gen_all()':
scales.cpp:135:20: warning: missing initializer for member 'query::d' [-Wmissing-field-initializers]
  135 |   allq.pb({2,i,j,k});
      |                    ^
scales.cpp:136:20: warning: missing initializer for member 'query::d' [-Wmissing-field-initializers]
  136 |   allq.pb({3,i,j,k});
      |                    ^
scales.cpp:137:20: warning: missing initializer for member 'query::d' [-Wmissing-field-initializers]
  137 |   allq.pb({4,i,j,k});
      |                    ^
scales.cpp: In function 'void init(int)':
scales.cpp:165:6: warning: unused variable 'mn' [-Wunused-variable]
  165 |  int mn = INF, mnpos=0;
      |      ^~
scales.cpp:165:16: warning: unused variable 'mnpos' [-Wunused-variable]
  165 |  int mn = INF, mnpos=0;
      |                ^~~~~
scales.cpp:163:15: warning: unused parameter 'T' [-Wunused-parameter]
  163 | void init(int T) {
      |           ~~~~^
# Verdict Execution time Memory Grader output
1 Correct 33 ms 332 KB Output is correct
2 Correct 34 ms 380 KB Output is correct
3 Correct 33 ms 340 KB Output is correct
4 Correct 33 ms 380 KB Output is correct
5 Correct 34 ms 332 KB Output is correct
6 Correct 32 ms 348 KB Output is correct
7 Correct 36 ms 332 KB Output is correct
8 Correct 34 ms 316 KB Output is correct
9 Correct 33 ms 320 KB Output is correct
10 Correct 33 ms 316 KB Output is correct
11 Correct 33 ms 332 KB Output is correct
12 Correct 33 ms 332 KB Output is correct
13 Correct 33 ms 336 KB Output is correct
14 Correct 33 ms 344 KB Output is correct
15 Correct 33 ms 340 KB Output is correct
16 Correct 33 ms 352 KB Output is correct
17 Correct 33 ms 368 KB Output is correct
18 Correct 33 ms 332 KB Output is correct
19 Correct 33 ms 336 KB Output is correct
20 Correct 34 ms 484 KB Output is correct
21 Correct 34 ms 380 KB Output is correct
22 Correct 33 ms 372 KB Output is correct
23 Correct 34 ms 344 KB Output is correct
24 Correct 33 ms 332 KB Output is correct
25 Correct 33 ms 348 KB Output is correct
26 Correct 34 ms 348 KB Output is correct
27 Correct 33 ms 348 KB Output is correct
28 Correct 34 ms 332 KB Output is correct
29 Correct 35 ms 364 KB Output is correct
30 Correct 34 ms 332 KB Output is correct
31 Correct 36 ms 456 KB Output is correct
32 Correct 33 ms 348 KB Output is correct
33 Correct 34 ms 304 KB Output is correct
34 Correct 33 ms 364 KB Output is correct
35 Correct 33 ms 376 KB Output is correct
36 Correct 33 ms 392 KB Output is correct
37 Correct 34 ms 376 KB Output is correct
38 Correct 33 ms 340 KB Output is correct
39 Correct 33 ms 372 KB Output is correct
40 Correct 34 ms 360 KB Output is correct