oj.uz

Submission #712912

# Submission time Handle Problem Language Result Execution time Memory
712912 2023-03-20T12:37:51 Z Nhoksocqt1 Sorting (IOI15_sorting) C++17
74 / 100
 1000 ms 203400 KB 
#include<bits/stdc++.h>
using namespace std;

#define inf 0x3f3f3f3f
#define sz(x) int((x).size())
#define fi first
#define se second
#define round asfhuqfuqwhuqwer
typedef long long ll;
typedef pair<int, int> ii;

template<class X, class Y>
	inline bool maximize(X &x, const Y &y) {return (x < y ? x = y, 1 : 0);}
template<class X, class Y>
	inline bool minimize(X &x, const Y &y) {return (x > y ? x = y, 1 : 0);}

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
int Random(int l, int r) {
    return uniform_int_distribution<int>(l, r)(rng);
}

const int MAXN = 200005;
const int MAX_LOG = 20;

ii round[3 * MAXN];
int val[MAXN], h[6 * MAXN], hn[6 * MAXN], P[6 * MAXN][MAX_LOG], Pn[6 * MAXN][MAX_LOG], lastOf[MAXN];
int lastIdx[MAXN], pos[MAXN], tmp[MAXN], nArr, numRound;

#ifdef Nhoksocqt1

int findSwapPairs(int _N, int _S[], int _M, int _X[], int _Y[], int _P[], int _Q[]);
int _S[MAXN], _X[MAXN], _Y[MAXN], _P[MAXN], _Q[MAXN];

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    freopen("SORTING.inp", "r", stdin);
    freopen("SORTING.out", "w", stdout);

    int _N, _M;
    cin >> _N;
    for (int i = 0; i < _N; ++i)
        cin >> _S[i];

    //for (int i = 0; i < _N; ++i) _S[i] = i; shuffle(_S, _S + _N, rng); for (int i = 0; i < _N; ++i) cout << _S[i] << " \n"[i + 1 == _N];

    cin >> _M;
    for (int i = 0; i < _M; ++i) {
        cin >> _X[i];
        //_X[i] = Random(0, _N - 1); cout << _X[i] << " \n"[i + 1 == _M];
    }

    for (int i = 0; i < _M; ++i) {
        cin >> _Y[i];
        //_Y[i] = Random(0, _N - 1); cout << _Y[i] << " \n"[i + 1 == _M];
    }

    int ans = findSwapPairs(_N, _S, _M, _X, _Y, _P, _Q);
    cout << ans << '\n';
    for (int it = 0; it < ans; ++it)
        cout << _P[it] << ' ' << _Q[it] << '\n';

    return 0;
}

#endif // Nhoksocqt1

inline int getID(int x) {
    return (x > numRound) ? round[x - numRound].fi : round[x].se;
}

bool check(int nr, int _P[], int _Q[]) {
    for (int i = 1; i <= nArr; ++i) {
        tmp[i] = val[i];
        pos[val[i]] = i;
    }

    swap(pos[tmp[round[1].fi]], pos[tmp[round[1].se]]);
    swap(tmp[round[1].fi], tmp[round[1].se]);

    int cntNow(1);
    for (int i = 1; i <= nArr; ++i) {
        int from(lastOf[i]);
        if(from > 0) {
            //cout << hn[from] << ' ' << 31 - __builtin_clz(hn[from]) << '\n';
            for (int j = 31 - __builtin_clz(hn[from]); j >= 0; --j) {
                int now(Pn[from][j]);
                if(now <= numRound && now > nr || now > numRound && now - numRound > nr)
                    from = now;
            }
        }

        if(from <= numRound && from > nr || from > numRound && from - numRound > nr)
            from = Pn[from][0];

        //cout << ',' << from << ' ';
        if(from > 0) {
            //cout << h[from] << ' ' << 31 - __builtin_clz(h[from]) << '\n';
            for (int j = 31 - __builtin_clz(h[from]); j >= 0; --j) {
                int now(P[from][j]);
                //cout << now << ' ' << cntNow << '.';
                if(now <= numRound && now > cntNow || now > numRound && now - numRound > cntNow)
                    from = now;
            }
        }

        //cout << nr << ' ' << i << ' ' << tmp[getID(from)] << ' ' << lastOf[i] << ' ' << from << ' ' << getID(from) << '\n';
        bool checkCond = (from <= numRound && from > cntNow || from > numRound && from - numRound > cntNow);
        if(checkCond && tmp[getID(from)] == i || !checkCond && tmp[i] == i)
            continue;

        if(cntNow > nr)
            return false;

        int x(pos[i]), y;
        if(checkCond) {
            x = pos[i], y = getID(from);
        } else {
            x = pos[i], y = i;
        }

        _P[cntNow - 1] = x - 1, _Q[cntNow - 1] = y - 1;
        swap(pos[tmp[x]], pos[tmp[y]]);
        swap(tmp[x], tmp[y]);

        //cout << '.' << x << ' ' << y << '\n';
        if(++cntNow <= nr) {
            swap(pos[tmp[round[cntNow].fi]], pos[tmp[round[cntNow].se]]);
            swap(tmp[round[cntNow].fi], tmp[round[cntNow].se]);
        }
    }

    for (int i = cntNow - 1; i < nr; ++i)
        _P[i] = _Q[i] = 0;

    for (int i = cntNow + 1; i <= nr; ++i)
        swap(tmp[round[i].fi], tmp[round[i].se]);

    /*cout << nr << ": ";
    for (int i = 1; i <= nArr; ++i)
        cout << tmp[i] << " \n"[i == nArr];*/

    return true;
}

int findSwapPairs(int _N, int _S[], int _M, int _X[], int _Y[], int _P[], int _Q[]) {
    nArr = _N, numRound = _M;

    bool check0(1);
    for (int i = 1; i <= nArr; ++i) {
        val[i] = _S[i - 1] + 1;
        check0 &= (val[i] == i);
    }

    if(check0)
        return 0;

    for (int i = 1; i <= numRound; ++i) {
        round[i] = {_X[i - 1] + 1, _Y[i - 1] + 1};
        P[i][0] = lastIdx[round[i].se];
        P[i + numRound][0] = lastIdx[round[i].fi];
        lastIdx[round[i].fi] = i;
        lastIdx[round[i].se] = i + numRound;
    }

    for (int i = 1; i <= nArr; ++i)
        lastIdx[i] = 0;

    for (int i = 1; i <= numRound; ++i) {
        Pn[i][0] = lastIdx[round[i].fi];
        Pn[i + numRound][0] = lastIdx[round[i].se];
        lastIdx[round[i].fi] = i;
        lastIdx[round[i].se] = i + numRound;
        lastOf[round[i].fi] = i;
        lastOf[round[i].se] = i + numRound;
    }

    for (int i = 1; i <= numRound; ++i) {
        h[i] = 1 + h[P[i][0]];
        hn[i] = 1 + hn[Pn[i][0]];
        h[i + numRound] = 1 + h[P[i + numRound][0]];
        hn[i + numRound] = 1 + hn[Pn[i + numRound][0]];
    }

    for (int j = 1; j < MAX_LOG; ++j) {
        for (int i = 1; i <= 2 * numRound; ++i) {
            P[i][j] = P[P[i][j - 1]][j - 1];
            Pn[i][j] = Pn[Pn[i][j - 1]][j - 1];
        }
    }

    int l(1), r(numRound - 1), answer(r + 1);
    while(l <= r) {
        int mid = (l + r) >> 1;
        if(check(mid, _P, _Q)) {
            answer = mid;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }

    check(answer, _P, _Q);
    return answer;
}

Compilation message

sorting.cpp: In function 'bool check(int, int*, int*)':
sorting.cpp:89:36: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   89 |                 if(now <= numRound && now > nr || now > numRound && now - numRound > nr)
      |                    ~~~~~~~~~~~~~~~~^~~~~~~~~~~
sorting.cpp:94:29: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   94 |         if(from <= numRound && from > nr || from > numRound && from - numRound > nr)
      |            ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~
sorting.cpp:103:36: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  103 |                 if(now <= numRound && now > cntNow || now > numRound && now - numRound > cntNow)
      |                    ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
sorting.cpp:109:44: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  109 |         bool checkCond = (from <= numRound && from > cntNow || from > numRound && from - numRound > cntNow);
      |                           ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~
sorting.cpp:110:22: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  110 |         if(checkCond && tmp[getID(from)] == i || !checkCond && tmp[i] == i)
      |            ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 2 ms 1364 KB Output is correct
11 Correct 1 ms 1364 KB Output is correct
12 Correct 1 ms 1364 KB Output is correct

Subtask #3
16.0 / 16.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 1364 KB Output is correct
4 Correct 1 ms 1364 KB Output is correct
5 Correct 2 ms 1364 KB Output is correct
6 Correct 1 ms 340 KB Output is correct

Subtask #4
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 2 ms 1364 KB Output is correct
11 Correct 1 ms 1364 KB Output is correct
12 Correct 1 ms 1364 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 1364 KB Output is correct
16 Correct 1 ms 1364 KB Output is correct
17 Correct 2 ms 1364 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 6 ms 5332 KB Output is correct
22 Correct 6 ms 5332 KB Output is correct
23 Correct 7 ms 5588 KB Output is correct
24 Correct 5 ms 5460 KB Output is correct
25 Correct 5 ms 5588 KB Output is correct
26 Correct 6 ms 5332 KB Output is correct
27 Correct 6 ms 5332 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2260 KB Output is correct
2 Correct 3 ms 2388 KB Output is correct
3 Correct 5 ms 2260 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 4 ms 2516 KB Output is correct
6 Correct 6 ms 2452 KB Output is correct
7 Correct 5 ms 2516 KB Output is correct
8 Correct 6 ms 2416 KB Output is correct
9 Correct 5 ms 2388 KB Output is correct
10 Correct 7 ms 2452 KB Output is correct
11 Correct 4 ms 2516 KB Output is correct
12 Correct 5 ms 2516 KB Output is correct
13 Correct 5 ms 2388 KB Output is correct
14 Correct 2 ms 2388 KB Output is correct

Subtask #6
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 2260 KB Output is correct
2 Correct 3 ms 2388 KB Output is correct
3 Correct 5 ms 2260 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 4 ms 2516 KB Output is correct
6 Correct 6 ms 2452 KB Output is correct
7 Correct 5 ms 2516 KB Output is correct
8 Correct 6 ms 2416 KB Output is correct
9 Correct 5 ms 2388 KB Output is correct
10 Correct 7 ms 2452 KB Output is correct
11 Correct 4 ms 2516 KB Output is correct
12 Correct 5 ms 2516 KB Output is correct
13 Correct 5 ms 2388 KB Output is correct
14 Correct 2 ms 2388 KB Output is correct
15 Correct 542 ms 191080 KB Output is correct
16 Correct 557 ms 195856 KB Output is correct
17 Execution timed out 1020 ms 203400 KB Time limit exceeded
18 Halted 0 ms 0 KB -