Submission #784883

#	Time	Username	Problem	Language	Result	Execution time	Memory
784883		aZvezda	Scales (IOI15_scales)	C++14	0 / 100	989 ms	49628 KiB

scales

#include "scales.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
#ifndef LOCAL
#define cerr if(false)cerr
#endif

const ll MAX_N = 20;
vector<ll> all;
ll dp[1 << MAX_N];
pair<ll, pair<pair<ll, ll>, pair<ll, ll> > > hist[1 << MAX_N]; 

bool valid(ll curr, ll a, ll b) {
	while(curr % 7 != b) {
		if(curr % 7 == a) {
			return false;
		}
		curr /= 7;
	}
	return true;
}

vector<ll> eliminate(const vector<ll> &curr, ll a, ll b) {
	assert(a != b);
	vector<ll> ret = {};
	for(const auto it : curr) {
		if(valid(it, a, b)) { 
			ret.push_back(it); 
		}
	}
	return ret;
}

ll eliminate_mask(ll mask, ll a, ll b) {
	ll ret = 0;
	for(ll i = 0; i < MAX_N; i ++) {
		if(((1 << i) & mask) && valid(all[i], a, b)) {
			ret += (1 << i);
		}
	}
	return ret;
}

ll encode(const vector<ll> &arr) {
	ll ret = 0;
	for(ll i = 0; i < arr.size(); i ++) {
		ret = ret * 7 + arr[i];
	}
	return ret;
}

ll calc_lightest(ll mask, ll a, ll b, ll c) {
	ll mx = 0;
	ll new_mask = mask;

	{
		new_mask = mask;
		new_mask = eliminate_mask(new_mask, a, b);
		new_mask = eliminate_mask(new_mask, a, c);
		mx = max(mx, dp[new_mask]);
	}

	{
		new_mask = mask;
		new_mask = eliminate_mask(new_mask, b, a);
		new_mask = eliminate_mask(new_mask, b, c);
		mx = max(mx, dp[new_mask]);
	}

	{
		new_mask = mask;
		new_mask = eliminate_mask(new_mask, c, a);
		new_mask = eliminate_mask(new_mask, c, b);
		mx = max(mx, dp[new_mask]);
	}

	if(mx < dp[mask]) {
		dp[mask] = mx;
		hist[mask] = {0, {{a, b}, {c, -1}}};
	}

	return mx;
}

ll calc_heaviest(ll mask, ll a, ll b, ll c) {
	ll mx = 0;
	ll new_mask = mask;

	{
		new_mask = mask;
		new_mask = eliminate_mask(new_mask, b, a);
		new_mask = eliminate_mask(new_mask, c, a);
		mx = max(mx, dp[new_mask]);
	}

	{
		new_mask = mask;
		new_mask = eliminate_mask(new_mask, a, b);
		new_mask = eliminate_mask(new_mask, c, b);
		mx = max(mx, dp[new_mask]);
	}

	{
		new_mask = mask;
		new_mask = eliminate_mask(new_mask, a, c);
		new_mask = eliminate_mask(new_mask, b, c);
		mx = max(mx, dp[new_mask]);
	}

	if(mx < dp[mask]) {
		dp[mask] = mx;
		hist[mask] = {1, {{a, b}, {c, -1}}};
	}

	return mx;
}

ll calc_median(ll mask, ll a, ll b, ll c) {
	ll mx = 0;
	ll new_mask1, new_mask2;

	{
		new_mask1 = eliminate_mask(mask, b, a);
		new_mask1 = eliminate_mask(mask, b, a);
		new_mask2 = eliminate_mask(mask, b, a);
		new_mask2 = eliminate_mask(mask, b, a);
		mx = max(mx, dp[new_mask1 | new_mask2]);
	}

	{
		new_mask1 = eliminate_mask(mask, a, b);
		new_mask1 = eliminate_mask(mask, b, c);
		new_mask2 = eliminate_mask(mask, c, b);
		new_mask2 = eliminate_mask(mask, b, a);
		mx = max(mx, dp[new_mask1 | new_mask2]);
	}

	{
		new_mask1 = eliminate_mask(mask, a, c);
		new_mask1 = eliminate_mask(mask, c, b);
		new_mask2 = eliminate_mask(mask, b, c);
		new_mask2 = eliminate_mask(mask, c, a);
		mx = max(mx, dp[new_mask1 | new_mask2]);
	}

	if(mx < dp[mask]) {
		dp[mask] = mx;
		hist[mask] = {2, {{a, b}, {c, -1}}};
	}

	return mx;
}

void init(int T) {
	vector<ll> perm = {1, 2, 3, 4, 5, 6};
	do {
		all.push_back(encode(perm));
	} while(next_permutation(perm.begin(), perm.end()));
	all = eliminate(all, 1, 2);
	all = eliminate(all, 2, 3);
	all = eliminate(all, 4, 5);
	all = eliminate(all, 5, 6);

	for(ll i = 0; i < all.size(); i ++) {
		ll curr = all[i];
		vector<ll> ret = {};
		while(curr) {
			ret.push_back(curr % 7);
			curr /= 7;
		}
		reverse(ret.begin(), ret.end());
	}

	ll total = (1ll << all.size());
	for(ll i = 0; i < total; i ++) {
		dp[i] = 1e9;
		if((i & (i - 1)) == 0) {
			dp[i] = 0;
			continue;
		}
		while(dp[i] > 100) {
			const auto rnd = []() { return rand() % 6 + 1; };
			ll a = rnd();
			ll b = rnd();
			ll c = rnd();
			while(a == b || a == c) {
				a = rnd(); b = rnd(); c = rnd();
			}
			calc_lightest(i, a, b, c);
		}
		dp[i] ++;
	}
}

int W[10], trans[10], old[10]; 

void orderCoins() {
	return;
	{
		ll small = getLightest(1, 2, 3);
		ll median = getMedian(1, 2, 3);
		ll big = (1 + 2 + 3) - (small + median);
		W[1] = small;
		W[2] = median;
		W[3] = big;
	}
	{
		ll small = getLightest(4, 5, 6);
		ll median = getMedian(4, 5, 6);
		ll big = (4 + 5 + 6) - (small + median);
		W[4] = small;
		W[5] = median;
		W[6] = big;
	}
	for(ll i = 1; i <= 7; i ++) {
		trans[W[i]] = i;
	}
	ll now_active = (1ll << all.size()) - 1;
	while((now_active & (now_active - 1)) > 0) {
		auto curr = hist[now_active];
		if(curr.first == 0) {
			ll small = getLightest(
				W[curr.second.first.first],
				W[curr.second.first.second],
				W[curr.second.second.first]
			);
			now_active = eliminate_mask(
				now_active, 
				trans[small],
				curr.second.first.first
			);
			now_active = eliminate_mask(
				now_active, 
				trans[small],
				curr.second.first.second
			);
			now_active = eliminate_mask(
				now_active, 
				trans[small],
				curr.second.second.first
			);
		} else if(curr.first == 1) {
			ll small = getHeaviest(
				W[curr.second.first.first],
				W[curr.second.first.second],
				W[curr.second.second.first]
			);
			now_active = eliminate_mask(
				now_active, 
				curr.second.first.first,
				trans[small]
			);
			now_active = eliminate_mask(
				now_active, 
				curr.second.first.second,
				trans[small]
			);
			now_active = eliminate_mask(
				now_active, 
				curr.second.second.first,
				trans[small]
			);
		}	
	}
	for(ll i = 0; i < MAX_N; i ++) {
		if(now_active & (1 << i)) {
			ll cpy = all[i];
			for(ll j = 5; j >= 0; j --) {
				old[j] = W[cpy % 7];
				cpy /= 7;
			}
			break;
		}
	}
	answer(old);
}

Compilation message (stderr)

scales.cpp: In function 'll encode(const std::vector<long long int>&)':
scales.cpp:47:18: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |  for(ll i = 0; i < arr.size(); i ++) {
      |                ~~^~~~~~~~~~~~
scales.cpp: In function 'void init(int)':
scales.cpp:165:18: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  165 |  for(ll i = 0; i < all.size(); i ++) {
      |                ~~^~~~~~~~~~~~
scales.cpp:155:15: warning: unused parameter 'T' [-Wunused-parameter]
  155 | void init(int T) {
      |           ~~~~^
scales.cpp: In function 'void orderCoins()':
scales.cpp:204:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  204 |   W[1] = small;
      |          ^~~~~
scales.cpp:205:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  205 |   W[2] = median;
      |          ^~~~~~
scales.cpp:206:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  206 |   W[3] = big;
      |          ^~~
scales.cpp:212:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  212 |   W[4] = small;
      |          ^~~~~
scales.cpp:213:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  213 |   W[5] = median;
      |          ^~~~~~
scales.cpp:214:10: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  214 |   W[6] = big;
      |          ^~~
scales.cpp:217:17: warning: conversion from 'll' {aka 'long long int'} to 'int' may change value [-Wconversion]
  217 |   trans[W[i]] = i;
      |                 ^

• Subtask 1: 0 / 100