2 条题解

  • 0
    @ 2026-1-12 19:55:18

    #include <bits/stdc++.h>
    #define sgn(i, j) ((a[i] > a[j]) - (a[i] < a[j])) // sgn(c[i] - c[j])
    #define N 20034
    using namespace std;
    
    int n, q, i;
    int l, r, ans = 0;
    int a[N], buf[N], tmp[N];
    
    int MergeSort(int L, int R){ // mergesort[L, R)
        if(L + 1 == R) return L;
        int M = L + R >> 1;
        MergeSort(L, M);
        MergeSort(M, R);
        int i, j, k = L;
        memcpy(tmp + L, buf + L, M - L << 2);
        for(i = L, j = M; i < M || j < R; )
            if(j >= R || (i < M && tmp[i] <= buf[j]))
                buf[k++] = tmp[i++];
            else{
                buf[k++] = buf[j++];
                ans += M - i;
            }
        return L;
    }
    
    int main(){
        scanf("%d", &n);
        for(i = 1; i <= n; i++)
            scanf("%d", a + i);
        memcpy(buf + 1, a + 1, n << 2);
        MergeSort(1, n + 1);
        printf("%d\n", ans);
        for(scanf("%d", &q); q; q--){
            scanf("%d%d", &l, &r);
            if(l > r) swap(l, r);
            if(a[l] == a[r]){
                printf("%d\n", ans);
                continue;
            }
            for(i = l; i < r; i++)
                ans += sgn(i, l) + sgn(r, i);
            swap(a[l], a[r]);
            printf("%d\n", ans);
        }
        return 0;
    }
    
    • 0
      @ 2025-10-8 17:05:39
      #include <bits/stdc++.h>
      using namespace std;
      const int N = 2e4 + 10;
      int a[N], n, q, root[N];
      struct trnode { int lc, rc, v; } tr[N << 8]; int trlen;
      template <typename T> void qr(T &x)
      {
          x = 0; int f = 1; char ch = getchar();
          for (; !isdigit(ch); ch = getchar()) if (ch == '-') f = -1;
          for (; isdigit(ch); ch = getchar()) x = x * 10 + ch - '0';
          x = x * f;
      }
      void update(int &p, int l, int r, int x, int z) // 修改操作 
      {
          if (!p) { p = ++trlen; tr[trlen] = trnode{0, 0, 0}; }
          if (l == r) { tr[p].v += z; return; }
          int mid = (l + r) >> 1;
          if (x <= mid) update(tr[p].lc, l, mid, x, z);
          else update(tr[p].rc, mid + 1, r, x, z);
          tr[p].v = tr[tr[p].lc].v + tr[tr[p].rc].v;
      }
      int query(int p, int l, int r, int x, int y) // 查询操作 
      {
          if (!p) return 0;
          if (l > y || r < x) return 0;
          if (x <= l && r <= y) return tr[p].v;
          int mid = (l + r) >> 1;
          return query(tr[p].lc, l, mid, x, y) + query(tr[p].rc, mid + 1, r, x, y);
      }
      inline void insert(int x, int y, int z) // 用树状数组的方法插入 
      {
          for (; x <= n; x += x & -x) update(root[x], 1, n, y, z);
      }
      inline int sum(int x, int y, int l, int r) // 树状数组方式查询 
      {
          int res = 0;
          for (; y; y -= y & -y) res += query(root[y], 1, n, l, r);
          for (x--; x; x -= x & -x) res -= query(root[x], 1, n, l, r);
          return res;
      }
      int b[N];
      
      int main()
      {
          qr(n); for (int i = 1; i <= n; i++) qr(a[i]), b[i] = a[i];
          /*-------------------------离散化-------------------------*/
          sort(b + 1, b + n + 1);
          int m = unique(b + 1, b + m + 1) - b - 1;
          for (int i = 1; i <= n; i++) a[i] = lower_bound(b + 1, b + m + 1, a[i]) - b;
          /*-------------------------将该序列按树状数组方式插入线段树-------------------------*/
          for (int i = 1; i <= n; i++) insert(i, a[i], 1);
          int ans = 0; for (int i = 2; i <= n; i++) ans += sum(1, i - 1, a[i] + 1, m);
          qr(q);
          printf("%d\n", ans);
          while (q--)
          {
              int l, r; qr(l); qr(r); if (l > r) swap(l, r);
              /*-------------------------计算变化后的逆序对个数-------------------------*/
              ans -= sum(l + 1, r - 1, 1, a[l] - 1);
              ans += sum(l + 1, r - 1, a[l] + 1, m);
              ans -= sum(l + 1, r - 1, a[r] + 1, m);
              ans += sum(l + 1, r - 1, 1, a[r] - 1);
              if (a[l] < a[r]) ans++;
              if (a[l] > a[r]) ans--;
              /*-------------------------修改-------------------------*/
              insert(l, a[l], -1);
              insert(l, a[r], 1);
              insert(r, a[l], 1);
              insert(r, a[r], -1);
              swap(a[l], a[r]);
              printf("%d\n", ans);
          }
          return 0;
      }
      
      • 1

      信息

      ID
      3806
      时间
      1000ms
      内存
      128MiB
      难度
      10
      标签
      递交数
      2
      已通过
      1
      上传者