bzoj 2333 棘手的操作(线段树)

题外话昨天粗去浪了一天,打麻将输了一下午真是拙计啊这个题号2333真是2333,有爱无比晚上回家把这题写了,1A,还算不错Description有N个节点,,标号从1到N,这N个节点一开始相互不连通。第i个节点的初始权值为a[i],接下来有如下一些操作:U x yA1 x vA2 x vA3 vF1 xF2 xF3Solution首先能感觉出这个题是要用个线段树的,比较蛋疼的是这个U操作如何解决仔细一想我们会发现,其实这个U操作是有个dfs序列的,我们可以先预处理出这个dfs序列然后后面的一切修改以及询问其实就是对dfs序列中连续的区间进行操作而已,我们就可以线段树维护辣!code;LL;N = 300005, inf = ~0u >> 1;int n, q, cnt, a[N], f[N], w[N], dfn[N], nxt[N], tail[N], add[N << 2], mx[N << 2];struct data {int op, x, y;}Q[N];inline int read(int &t) {int f = 1;char c;while (c = getchar(), c < ‘0’ || c > ‘9’) if (c == ‘-‘) f = -1;t = c – ‘0’;while (c = getchar(), c >= ‘0’ && c <= ‘9’) t = t * 10 + c – ‘0’;t *= f;}int find(int x) {return f[x] == x ? x : f[x] = find(f[x]);}void down(int rt) {if (add[rt]) {add[ls] += add[rt], add[rs] += add[rt];mx[ls] += add[rt], mx[rs] += add[rt];add[rt] = 0;}}void up(int rt) {mx[rt] = max(mx[ls], mx[rs]);}void change(int rt, int l, int r, int L, int R, int c) {if (L <= l && R >= r) {add[rt] += c;mx[rt] += c;return;}down(rt);int mid = l + r >> 1;if (L <= mid) change(ls, l, mid, L, R, c);if (R > mid) change(rs, mid + 1, r, L, R, c);up(rt);}void build(int rt, int l, int r) {if (l == r) {mx[rt] = w[l];return;}int mid = l + r >> 1;build(ls, l, mid), build(rs, mid + 1, r);up(rt);}int ask(int rt, int l, int r, int L, int R) {if (L <= l && R >= r) return mx[rt];down(rt);int mid = l + r >> 1;int t = -inf;if (L <= mid) t = max(t, ask(ls, l, mid, L, R));if (R > mid) t = max(t, ask(rs, mid + 1, r, L, R));return t;}void init() {read(n);for (int i = 1; i <= n; ++i) read(a[i]);read(q);for (int i = 1; i <= n; ++i) f[i] = tail[i] = i;for (int i = 1; i <= q; ++i) {char s[2];int x, y;scanf(“%s”, s);if (s[0] == ‘U’) {Q[i].op = 1;read(Q[i].x), read(Q[i].y);int fx = find(Q[i].x), fy = find(Q[i].y);if (fx != fy) {f[fx] = fy;nxt[tail[fy]] = fx, tail[fy] = tail[fx];}}else if (s[0] == ‘A’) {if (s[1] == ‘1’) Q[i].op = 2, read(Q[i].x), read(Q[i].y);else if (s[1] == ‘2’) Q[i].op = 3, read(Q[i].x), read(Q[i].y);else Q[i].op = 4, read(Q[i].x);}else {if (s[1] == ‘1’) Q[i].op = 5, read(Q[i].x);else if (s[1] == ‘2’) Q[i].op = 6, read(Q[i].x);else Q[i].op = 7;}}for (int i = 1; i <= n; ++i)if (find(i) == i) {for (int j = i; j; j = nxt[j]) {dfn[j] = ++cnt;w[cnt] = a[j];}}build(1, 1, n);for (int i = 1; i <= n; ++i) f[i] = tail[i] = i, nxt[i] = 0;}void gao() {for (int i = 1; i <= q; ++i) {if (Q[i].op == 1) {int fx = find(Q[i].x), fy = find(Q[i].y);if (fx != fy) {f[fx] = fy;nxt[tail[fy]] = fx, tail[fy] = tail[fx];}}else if (Q[i].op == 2) change(1, 1, n, dfn[Q[i].x], dfn[Q[i].x], Q[i].y);else if (Q[i].op == 3) {int fx = find(Q[i].x);change(1, 1, n, dfn[fx], dfn[tail[fx]], Q[i].y);}else if (Q[i].op == 4) change(1, 1, n, 1, n, Q[i].x);else if (Q[i].op == 5) printf(“%d\n”, ask(1, 1, n, dfn[Q[i].x], dfn[Q[i].x]));else if (Q[i].op == 6) {int fx = find(Q[i].x);printf(“%d\n”, ask(1, 1, n, dfn[fx], dfn[tail[fx]]));}else printf(“%d\n”, ask(1, 1, n, 1, n));}}int main() {init();gao();return 0;}

一个今天胜过两个明天

bzoj 2333 棘手的操作(线段树)

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