要实现的操作是插入,删除,找到比指定值大的,小的值操作。
Splay的删除操作可以是直接用二叉搜索树的删除方式,或者是先将要删除的节点Splay到根,然后找到左子树中最大的节点,将其Splay到根的左儿子位置,此时这个节点必然是没有右子树的,然后直接把他当做根就好。
找大的值可以先找到如果要插入这个值会插在哪里,然后不执行操作,直接找前驱或者后继就可以了。
代码能力捉急,写了整整一天,各种debug蛋疼啊= =
#include <cstdio> #include <cstring> #include <climits> #include <algorithm> using namespace std; const int maxn = 2e6 + 10; const int mod = 1000000; const int PET = 0; const int HUMAN = 1; const int EMPTY = -1; const int INF = INT_MAX / 3; int ch[maxn][2], fa[maxn], val[maxn], sz, root; void rotate(int x, int d) { int y = fa[x]; ch[y][d ^ 1] = ch[x][d]; fa[ch[x][d]] = y; if (fa[y] != 0) { ch[fa[y]][y == ch[fa[y]][1]] = x; } ch[x][d] = y; fa[x] = fa[y]; fa[y] = x; } int newNode(int &r, int father, int v) { r = ++sz; fa[r] = father; val[r] = v; ch[r][0] = ch[r][1] = 0; return r; } void splay(int x, int goal) { while (fa[x] != goal) { int y = fa[x], d = val[x] > val[y]; if (fa[y] == goal) { rotate(x, d ^ 1); break; } int z = fa[y], d1 = val[y] > val[z]; if (d == d1) { rotate(y, d1 ^ 1); rotate(x, d ^ 1); } else { rotate(x, d ^ 1); rotate(x, d1 ^ 1); } } if (goal == 0) { fa[x] = 0; root = x; } } void debug(int root) { int lc = ch[root][0], rc = ch[root][1]; printf("当前节点:%d(val = %d), lch: %d(val = %d), rch %d(val = %d), fa is %d ", root, val[root], lc, val[lc], rc, val[rc], fa[root]); if (lc) debug(lc); if (rc) debug(rc); } int insert(int v) { if (root == 0) { newNode(root, 0, v); return root; } int u = root; while (ch[u][v > val[u]] != 0) u = ch[u][v > val[u]]; int r = newNode(ch[u][v > val[u]], u, v); splay(r, 0); return r; } //找后继 int findNext(int x) { //如果x节点有右子树 if (ch[x][1] != 0) { //找到右子树中最小的节点 int u = ch[x][1]; while (ch[u][0] != 0) u = ch[u][0]; return u; } //往上寻找 int u = x; while (fa[u] != 0 && u != ch[fa[u]][0]) u = fa[u]; return fa[u]; } //用二叉搜索树删除节点的方式来删除节点 void remove(int x) { if (ch[x][0] == 0 && ch[x][1] == 0) { if (fa[x] == 0) root = 0; else ch[fa[x]][x == ch[fa[x]][1]] = 0; } else if (ch[x][0] == 0) { if (fa[x] == 0) { root = ch[x][1]; fa[ch[x][1]] = 0; } else ch[fa[x]][x == ch[fa[x]][1]] = ch[x][1]; fa[ch[x][1]] = fa[x]; } else if (ch[x][1] == 0) { if (fa[x] == 0) { root = ch[x][0]; fa[ch[x][0]] = 0; } else ch[fa[x]][x == ch[fa[x]][1]] = ch[x][0]; fa[ch[x][0]] = fa[x]; } else { int r = findNext(x); swap(val[r], val[x]); remove(r); } } //先splay到根然后删除 void remove_root() { int u = root; if (ch[u][0] == 0) { root = ch[u][1]; fa[ch[u][1]] = 0; } else { //找到左子树中最大的值 int x = ch[u][0]; while (ch[x][1] != 0) x = ch[x][1]; //splay到根的做子树 splay(x, root); //debug(root); //此时x必然没有右子树,直接作为根 ch[x][1] = ch[u][1]; if (ch[u][1]) fa[ch[u][1]] = x; root = x; fa[x] = 0; } //debug(root); } int findValMinNext(int v) { int u = root; while (ch[u][v > val[u]] != 0) u = ch[u][v > val[u]]; if (v >= val[u]) return u; while (fa[u] != 0 && val[fa[u]] > val[u]) u = fa[u]; return fa[u]; } int findValMaxNext(int v) { int u = root; while (ch[u][v > val[u]] != 0) u = ch[u][v > val[u]]; if (v < val[u]) return u; while (fa[u] != 0 && val[fa[u]] <= val[u]) u = fa[u]; return fa[u]; } int main() { //freopen("INPUT.002", "r", stdin); //freopen("out.txt", "w", stdout); int n, state, cmd, st, ans; while (scanf("%d", &n) != EOF) { sz = root = ans = 0; state = EMPTY; for (int i = 1; i <= n; i++) { //debug(root); scanf("%d%d", &cmd, &st); if (state == EMPTY) { state = cmd; insert(st); } else if (state == cmd) insert(st); else { val[0] = INF; int g1 = findValMinNext(st), g2 = findValMaxNext(st); //run_test(); //printf("g1 is %d, g2 is %d ", val[g1], val[g2]); int v1 = abs(st - val[g1]), v2 = abs(st - val[g2]); if (v1 <= v2) { ans = (ans + v1) % mod; splay(g1, 0); remove(root); //debug(root); //remove_root(); } else { ans = (ans + v2) % mod; splay(g2, 0); //debug(root); remove(root); //remove_root(); } if (root == 0) state = EMPTY; } } printf("%d ", ans); } return 0; }