Submission #712914

# Submission time Handle Problem Language Result Execution time Memory
712914 2023-03-20T12:41:25 Z Nhoksocqt1 Sorting (IOI15_sorting) C++17
74 / 100
1000 ms 118604 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], P[6 * MAXN][MAX_LOG], Pn[6 * MAXN], lastOf[MAXN], lastNow[6 * 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]);

    for (int i = 1; i <= numRound; ++i) {
        lastNow[i] = (i > nr ? lastNow[Pn[i]] : i);
        lastNow[i + numRound] = (i > nr ? lastNow[Pn[i + numRound]] : i + numRound);
    }

    int cntNow(1);
    for (int i = 1; i <= nArr; ++i) {
        int from(lastNow[lastOf[i]]);
        //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] = lastIdx[round[i].fi];
        Pn[i + numRound] = 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]];
        h[i + numRound] = 1 + h[P[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];
    }

    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:96:36: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   96 |                 if(now <= numRound && now > cntNow || now > numRound && now - numRound > cntNow)
      |                    ~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~
sorting.cpp:102:44: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  102 |         bool checkCond = (from <= numRound && from > cntNow || from > numRound && from - numRound > cntNow);
      |                           ~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~~~
sorting.cpp:103:22: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
  103 |         if(checkCond && tmp[getID(from)] == i || !checkCond && tmp[i] == i)
      |            ~~~~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
# 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 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
# 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 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 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 0 ms 212 KB Output is correct
10 Correct 1 ms 852 KB Output is correct
11 Correct 1 ms 852 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 852 KB Output is correct
4 Correct 1 ms 852 KB Output is correct
5 Correct 1 ms 852 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
# 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 0 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 1 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 0 ms 212 KB Output is correct
10 Correct 1 ms 852 KB Output is correct
11 Correct 1 ms 852 KB Output is correct
12 Correct 1 ms 852 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 852 KB Output is correct
16 Correct 1 ms 852 KB Output is correct
17 Correct 1 ms 852 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 4 ms 3156 KB Output is correct
22 Correct 4 ms 3156 KB Output is correct
23 Correct 4 ms 3284 KB Output is correct
24 Correct 5 ms 3284 KB Output is correct
25 Correct 4 ms 3284 KB Output is correct
26 Correct 4 ms 3156 KB Output is correct
27 Correct 4 ms 3156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1492 KB Output is correct
2 Correct 3 ms 1492 KB Output is correct
3 Correct 3 ms 1492 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 2 ms 1620 KB Output is correct
6 Correct 2 ms 1492 KB Output is correct
7 Correct 3 ms 1620 KB Output is correct
8 Correct 3 ms 1492 KB Output is correct
9 Correct 3 ms 1492 KB Output is correct
10 Correct 3 ms 1492 KB Output is correct
11 Correct 3 ms 1620 KB Output is correct
12 Correct 3 ms 1620 KB Output is correct
13 Correct 3 ms 1620 KB Output is correct
14 Correct 2 ms 1492 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1492 KB Output is correct
2 Correct 3 ms 1492 KB Output is correct
3 Correct 3 ms 1492 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 2 ms 1620 KB Output is correct
6 Correct 2 ms 1492 KB Output is correct
7 Correct 3 ms 1620 KB Output is correct
8 Correct 3 ms 1492 KB Output is correct
9 Correct 3 ms 1492 KB Output is correct
10 Correct 3 ms 1492 KB Output is correct
11 Correct 3 ms 1620 KB Output is correct
12 Correct 3 ms 1620 KB Output is correct
13 Correct 3 ms 1620 KB Output is correct
14 Correct 2 ms 1492 KB Output is correct
15 Correct 376 ms 112260 KB Output is correct
16 Correct 418 ms 115180 KB Output is correct
17 Execution timed out 1061 ms 118604 KB Time limit exceeded
18 Halted 0 ms 0 KB -