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QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#486532#7108. CouleurlwenjAC ✓2549ms38272kbC++144.0kb2024-07-21 21:03:562024-07-21 21:03:56

Judging History

你现在查看的是最新测评结果

  • [2024-07-21 21:03:56]
  • 评测
  • 测评结果:AC
  • 用时:2549ms
  • 内存:38272kb
  • [2024-07-21 21:03:56]
  • 提交

answer

#include <bits/stdc++.h>
#define MAXN ((int) 1e5)
#define MAXP 20
using namespace std;

int n, A[MAXN + 10];

int tot, sumo[MAXN * MAXP + 10], ch[MAXN * MAXP + 10][2], root[MAXN + 10];
// map key 都是已删除的位置
// mp[i]:以 A[i + 1] 为开头的段的逆序对数
map<int, long long> mp;
// 保存所有段的逆序对数
multiset<long long> ms;

// 新建线段树节点
int newNode() {
    tot++;
    sumo[tot] = 0;
    ch[tot][0] = ch[tot][1] = 0;
    return tot;
}

// 添加一个整数 pos
void add(int id, int l, int r, int old, int pos) {
    sumo[id] = sumo[old];
    ch[id][0] = ch[old][0]; ch[id][1] = ch[old][1];

    if (l == r) sumo[id]++;
    else {
        int mid = (l + r) >> 1;
        if (pos <= mid) add(ch[id][0] = newNode(), l, mid, ch[old][0], pos);
        else add(ch[id][1] = newNode(), mid + 1, r, ch[old][1], pos);
        sumo[id] = sumo[ch[id][0]] + sumo[ch[id][1]];
    }
}

// 询问整数 ql 到 qr 一共有几个
int query(int id, int l, int r, int ql, int qr) {
    if (ql > qr) return 0;
    if (ql <= l && r <= qr) return sumo[id];
    int mid = (l + r) >> 1;
    return
        (ql <= mid ? query(ch[id][0], l, mid, ql, qr) : 0) +
        (qr > mid ? query(ch[id][1], mid + 1, r, ql, qr) : 0);
}

// 启发式分裂,将区间 [L, R] 从 X 处分裂
void split(int L, int R, int X) {
    long long old = mp[L - 1]; ms.erase(ms.find(old));
    long long base = query(root[R], 1, n, 1, A[X] - 1) - query(root[X], 1, n, 1, A[X] - 1);
    base += query(root[X - 1], 1, n, A[X] + 1, n) - query(root[L - 1], 1, n, A[X] + 1, n);
    if (X - L < R - X) {
        long long a = 0, b = base;
        for (int i = L; i < X; i++) {
            a += query(root[i - 1], 1, n, A[i] + 1, n) - query(root[L - 1], 1, n, A[i] + 1, n);
            b += query(root[R], 1, n, 1, A[i] - 1) - query(root[X], 1, n, 1, A[i] - 1);
        }
        mp[L - 1] = a; ms.insert(mp[L - 1]);
        mp[X] = old - a - b; ms.insert(mp[X]);
    } else {
        long long a = 0, b = base;
        for (int i = X + 1; i <= R; i++) {
            a += query(root[i - 1], 1, n, A[i] + 1, n) - query(root[X], 1, n, A[i] + 1, n);
            b += query(root[X - 1], 1, n, A[i] + 1, n) - query(root[L - 1], 1, n, A[i] + 1, n);
        }
        mp[L - 1] = old - a - b; ms.insert(mp[L - 1]);
        mp[X] = a; ms.insert(mp[X]);
    }
}

void solve() {
    scanf("%d", &n);
    for (int i = 1; i <= n; i++) scanf("%d", &A[i]);

    // 将 A[1] 到 A[n] 依次加入主席树
    // root[i] 就是加入 A[i] 之后的情况
    tot = 0;
    for (int i = 1; i <= n; i++) add(root[i] = newNode(), 1, n, root[i - 1], A[i]);

    // 计算整个序列的逆序对数
    long long tmp = 0;
    for (int i = 1; i <= n; i++) tmp += query(root[i - 1], 1, n, A[i] + 1, n);

    // 把下标 0 和 n + 1 视为已删除的下标,方便处理
    mp.clear(); ms.clear();
    mp[0] = tmp; ms.insert(tmp);
    mp[n + 1] = 0; ms.insert(0);

    long long ans = *prev(ms.end());
    for (int i = 1; i <= n; i++) {
        printf("%lld%c", ans, "\n "[i < n]);
        long long x; scanf("%lld", &x);
        x ^= ans;
        auto it = prev(mp.lower_bound(x));
        //cout << it->first + 1 << " " << next(it)->first - 1 << " " << x << endl;
        split(it->first + 1, next(it)->first - 1, x); // 处理l + 1 ~ r - 1
        ans = *prev(ms.end());
        // cout << "-------------------------" << endl;
        // for (auto [x, y] : mp) {
        //     cout << x << ":" << y << " ";
        // }
        // cout << endl;
        // cout << "-------------------------" << endl;
        // cout << "=============================" << endl;
        // for (auto x: ms) {
        //     cout << x << " ";
        // }
        // cout << endl;
        // cout << "=============================" << endl;
    }
}

int main() {
    int tcase; scanf("%d", &tcase);
    while (tcase--) solve();
    return 0;
}

// 1, 3, 8, 7, 9, 2, 4, 5, 10, 6

这程序好像有点Bug,我给组数据试试?

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 8036kb

input:

3
5
4 3 1 1 1
5 4 5 3 1
10
9 7 1 4 7 8 5 7 4 8
21 8 15 5 9 2 4 5 10 6
15
4 8 8 1 12 1 10 14 7 14 2 9 13 10 3
37 19 23 15 7 2 10 15 2 13 4 5 8 7 10

output:

7 0 0 0 0
20 11 7 2 0 0 0 0 0 0
42 31 21 14 14 4 1 1 1 0 0 0 0 0 0

result:

ok 3 lines

Test #2:

score: 0
Accepted
time: 2549ms
memory: 38272kb

input:

11116
10
10 5 10 3 6 4 8 5 9 8
31 27 24 11 12 3 0 2 3 1
10
8 2 7 2 8 10 1 10 9 10
6 5 2 13 2 1 0 1 3 1
10
7 10 7 6 1 3 10 6 7 9
21 18 10 1 6 5 4 8 9 10
10
2 10 4 8 8 5 7 2 6 7
20 10 9 1 15 0 4 2 9 7
10
1 2 3 4 5 6 7 8 9 10
1 2 3 4 5 6 7 8 9 10
10
1 2 3 4 5 6 7 8 9 10
6 3 5 2 7 10 9 1 4 8
10
1 10 1 3...

output:

21 18 16 12 10 6 4 1 1 0
12 12 10 10 4 4 4 2 1 0
20 16 9 5 3 3 3 0 0 0
22 14 8 8 5 5 2 1 1 0
0 0 0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0 0 0
19 12 7 4 4 2 2 1 0 0
20 18 8 3 1 1 0 0 0 0
45 21 21 10 3 3 3 0 0 0
17 11 8 2 1 1 1 0 0 0
13 4 1 0 0 0 0 0 0 0
29 27 22 15 9 7 4 3 1 0
26 16 9 2 1 1 1 1 1 0
0 0 0 0 0 ...

result:

ok 11116 lines

Extra Test:

score: 0
Extra Test Passed