Submission #725812

# Submission time Handle Problem Language Result Execution time Memory
725812 2023-04-18T06:21:40 Z becaido Scales (IOI15_scales) C++17
100 / 100
7 ms 368 KB
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx,popcnt,sse4,abm")
#include <bits/stdc++.h>
#include "scales.h"
using namespace std;

#define ll long long
#define Waimai ios::sync_with_stdio(false), cin.tie(0)
#define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
#define pb emplace_back
#define F first
#define S second

const int MAX = 720;

array<int, 6> P[MAX];
int pos[MAX][7];

struct Tree {
    int ty, a, b, c, d;
    Tree *nxt[3];
    Tree() {}
    Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
    tuple<int, int, int, int, int> id() {
        return {ty, a, b, c, d};
    }
};
Tree *root;

bool build(Tree *&t, vector<int> cur, int lim) {
    if (cur.size() <= 1) return 1;
    t = new Tree();
    FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
        *t = Tree(ty, i, j, k);
        vector<int> vi, vj, vk;
        bool f = 1;
        for (int id : cur) {
            int cp;
            if (ty == 1) cp = min({pos[id][i], pos[id][j], pos[id][k]});
            if (ty == 2) cp = max({pos[id][i], pos[id][j], pos[id][k]});
            if (ty == 3) cp = pos[id][i] + pos[id][j] + pos[id][k] - min({pos[id][i], pos[id][j], pos[id][k]}) - max({pos[id][i], pos[id][j], pos[id][k]});
            (pos[id][i] == cp ? vi : pos[id][j] == cp ? vj : vk).pb(id);
            if (max({vi.size(), vj.size(), vk.size()}) > lim) {
                f = 0;
                break;
            }
        }
        if (f) f &= build(t->nxt[0], vi, lim / 3);
        if (f) f &= build(t->nxt[1], vj, lim / 3);
        if (f) f &= build(t->nxt[2], vk, lim / 3);
        if (f) return 1;
    }
    FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
        *t = Tree(4, i, j, k, d);
        vector<int> vi, vj, vk;
        bool f = 1;
        for (int id : cur) {
            int pi = pos[id][i], pj = pos[id][j], pk = pos[id][k], pd = pos[id][d], cp = 6;
            for (int xp : {pi, pj, pk}) if (xp > pd) cp = min(cp, xp);
            if (cp == 6) cp = min({pi, pj, pk});
            (pos[id][i] == cp ? vi : pos[id][j] == cp ? vj : vk).pb(id);
            if (max({vi.size(), vj.size(), vk.size()}) > lim) {
                f = 0;
                break;
            }
        }
        if (f) f &= build(t->nxt[0], vi, lim / 3);
        if (f) f &= build(t->nxt[1], vj, lim / 3);
        if (f) f &= build(t->nxt[2], vk, lim / 3);
        if (f) return 1;
    }
    delete(t);
    return 0;
}

void init(int T) {
    array<int, 6> a;
    iota(a.begin(), a.end(), 1);
    FOR (i, 0, MAX - 1) {
        P[i] = a;
        FOR (j, 0, 5) pos[i][a[j]] = j;
        next_permutation(a.begin(), a.end());
    }
    vector<int> all(MAX);
    iota(all.begin(), all.end(), 0);
    build(root, all, 243);
}

void orderCoins() {
    vector<int> all(MAX);
    iota(all.begin(), all.end(), 0);
    Tree *cur = root;
    while (all.size() > 1) {
        int result;
        auto [ty, a, b, c, d] = cur->id();
        if (ty == 1) result = getLightest(a, b, c);
        if (ty == 2) result = getHeaviest(a, b, c);
        if (ty == 3) result = getMedian(a, b, c);
        if (ty == 4) result = getNextLightest(a, b, c, d);
        vector<int> tmp;
        for (int id : all) {
            int pi = pos[id][a], pj = pos[id][b], pk = pos[id][c];
            if (ty == 1 && min({pi, pj, pk}) == pos[id][result]) tmp.pb(id);
            if (ty == 2 && max({pi, pj, pk}) == pos[id][result]) tmp.pb(id);
            if (ty == 3 && pi + pj + pk - min({pi, pj, pk}) - max({pi, pj, pk}) == pos[id][result]) tmp.pb(id);
            if (ty == 4) {
                int mn = 6;
                for (int xp : {pi, pj, pk}) if (xp > pos[id][d]) mn = min(mn, xp);
                if (mn == 6) mn = min({pi, pj, pk});
                if (mn == pos[id][result]) tmp.pb(id);
            }
        }
        all = tmp;
        cur = (result == a ? cur->nxt[0] : result == b ? cur->nxt[1] : cur->nxt[2]);
    }
    int ans[6];
    FOR (i, 0, 5) ans[i] = P[all[0]][i];
    answer(ans);
}

Compilation message

scales.cpp: In constructor 'Tree::Tree(int, int, int, int, int)':
scales.cpp:23:43: warning: declaration of 'd' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                                       ~~~~^~~~~
scales.cpp:20:22: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                      ^
scales.cpp:23:36: warning: declaration of 'c' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                                ~~~~^
scales.cpp:20:19: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                   ^
scales.cpp:23:29: warning: declaration of 'b' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                         ~~~~^
scales.cpp:20:16: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                ^
scales.cpp:23:22: warning: declaration of 'a' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                  ~~~~^
scales.cpp:20:13: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |             ^
scales.cpp:23:14: warning: declaration of 'ty' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |          ~~~~^~
scales.cpp:20:9: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |         ^~
scales.cpp: In constructor 'Tree::Tree(int, int, int, int, int)':
scales.cpp:23:43: warning: declaration of 'd' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                                       ~~~~^~~~~
scales.cpp:20:22: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                      ^
scales.cpp:23:36: warning: declaration of 'c' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                                ~~~~^
scales.cpp:20:19: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                   ^
scales.cpp:23:29: warning: declaration of 'b' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                         ~~~~^
scales.cpp:20:16: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                ^
scales.cpp:23:22: warning: declaration of 'a' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                  ~~~~^
scales.cpp:20:13: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |             ^
scales.cpp:23:14: warning: declaration of 'ty' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |          ~~~~^~
scales.cpp:20:9: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |         ^~
scales.cpp: In constructor 'Tree::Tree(int, int, int, int, int)':
scales.cpp:23:43: warning: declaration of 'd' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                                       ~~~~^~~~~
scales.cpp:20:22: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                      ^
scales.cpp:23:36: warning: declaration of 'c' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                                ~~~~^
scales.cpp:20:19: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                   ^
scales.cpp:23:29: warning: declaration of 'b' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                         ~~~~^
scales.cpp:20:16: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |                ^
scales.cpp:23:22: warning: declaration of 'a' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |                  ~~~~^
scales.cpp:20:13: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |             ^
scales.cpp:23:14: warning: declaration of 'ty' shadows a member of 'Tree' [-Wshadow]
   23 |     Tree(int ty, int a, int b, int c, int d = 0) : ty(ty), a(a), b(b), c(c), d(d) {}
      |          ~~~~^~
scales.cpp:20:9: note: shadowed declaration is here
   20 |     int ty, a, b, c, d;
      |         ^~
scales.cpp: In function 'bool build(Tree*&, std::vector<int>, int)':
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:33:20: note: in expansion of macro 'FOR'
   33 |     FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
      |                    ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:33:5: note: in expansion of macro 'FOR'
   33 |     FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
      |     ^~~
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:33:34: note: in expansion of macro 'FOR'
   33 |     FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
      |                                  ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:33:20: note: in expansion of macro 'FOR'
   33 |     FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
      |                    ^~~
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:33:52: note: in expansion of macro 'FOR'
   33 |     FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
      |                                                    ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:33:34: note: in expansion of macro 'FOR'
   33 |     FOR (ty, 1, 3) FOR (i, 1, 6) FOR (j, i + 1, 6) FOR (k, j + 1, 6) {
      |                                  ^~~
scales.cpp:43:56: warning: comparison of integer expressions of different signedness: 'long unsigned int' and 'int' [-Wsign-compare]
   43 |             if (max({vi.size(), vj.size(), vk.size()}) > lim) {
      |                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:53:19: note: in expansion of macro 'FOR'
   53 |     FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
      |                   ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:53:5: note: in expansion of macro 'FOR'
   53 |     FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
      |     ^~~
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:53:45: note: in expansion of macro 'FOR'
   53 |     FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
      |                                             ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:53:19: note: in expansion of macro 'FOR'
   53 |     FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
      |                   ^~~
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:53:75: note: in expansion of macro 'FOR'
   53 |     FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
      |                                                                           ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:53:45: note: in expansion of macro 'FOR'
   53 |     FOR (d, 1, 6) FOR (i, 1, 6) if (i != d) FOR (j, i + 1, 6) if (j != d) FOR (k, j + 1, 6) if (k != d) {
      |                                             ^~~
scales.cpp:62:56: warning: comparison of integer expressions of different signedness: 'long unsigned int' and 'int' [-Wsign-compare]
   62 |             if (max({vi.size(), vj.size(), vk.size()}) > lim) {
      |                 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~^~~~~
scales.cpp: In function 'void init(int)':
scales.cpp:9:36: warning: declaration of 'I' shadows a previous local [-Wshadow]
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:81:9: note: in expansion of macro 'FOR'
   81 |         FOR (j, 0, 5) pos[i][a[j]] = j;
      |         ^~~
scales.cpp:9:36: note: shadowed declaration is here
    9 | #define FOR(x,a,b) for (int x = a, I = b; x <= I; x++)
      |                                    ^
scales.cpp:79:5: note: in expansion of macro 'FOR'
   79 |     FOR (i, 0, MAX - 1) {
      |     ^~~
scales.cpp:76:15: warning: unused parameter 'T' [-Wunused-parameter]
   76 | void init(int T) {
      |           ~~~~^
scales.cpp: In function 'void orderCoins()':
scales.cpp:114:56: warning: 'result' may be used uninitialized in this function [-Wmaybe-uninitialized]
  114 |         cur = (result == a ? cur->nxt[0] : result == b ? cur->nxt[1] : cur->nxt[2]);
      |                                            ~~~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 4 ms 340 KB Output is correct
2 Correct 5 ms 312 KB Output is correct
3 Correct 7 ms 352 KB Output is correct
4 Correct 5 ms 340 KB Output is correct
5 Correct 5 ms 340 KB Output is correct
6 Correct 5 ms 340 KB Output is correct
7 Correct 4 ms 340 KB Output is correct
8 Correct 4 ms 364 KB Output is correct
9 Correct 4 ms 340 KB Output is correct
10 Correct 5 ms 368 KB Output is correct
11 Correct 4 ms 340 KB Output is correct
12 Correct 4 ms 340 KB Output is correct
13 Correct 6 ms 340 KB Output is correct
14 Correct 4 ms 340 KB Output is correct
15 Correct 4 ms 340 KB Output is correct
16 Correct 4 ms 340 KB Output is correct
17 Correct 6 ms 340 KB Output is correct
18 Correct 4 ms 340 KB Output is correct
19 Correct 4 ms 340 KB Output is correct
20 Correct 4 ms 340 KB Output is correct
21 Correct 4 ms 340 KB Output is correct
22 Correct 4 ms 340 KB Output is correct
23 Correct 5 ms 340 KB Output is correct
24 Correct 5 ms 340 KB Output is correct
25 Correct 4 ms 340 KB Output is correct
26 Correct 5 ms 340 KB Output is correct
27 Correct 6 ms 340 KB Output is correct
28 Correct 5 ms 340 KB Output is correct
29 Correct 5 ms 340 KB Output is correct
30 Correct 4 ms 340 KB Output is correct
31 Correct 4 ms 340 KB Output is correct
32 Correct 4 ms 340 KB Output is correct
33 Correct 4 ms 340 KB Output is correct
34 Correct 4 ms 348 KB Output is correct
35 Correct 4 ms 356 KB Output is correct
36 Correct 4 ms 340 KB Output is correct
37 Correct 6 ms 340 KB Output is correct
38 Correct 4 ms 340 KB Output is correct
39 Correct 4 ms 340 KB Output is correct
40 Correct 4 ms 340 KB Output is correct