题目连接
http://poj.org/problem?id=3580
SuperMemo
Description
Your friend, Jackson is invited to a TV show called SuperMemo in which the participant is told to play a memorizing game. At first, the host tells the participant a sequence of numbers, {A1, A2, ... An}. Then the host performs a series of operations and queries on the sequence which consists:
- ADD x y D: Add D to each number in sub-sequence {Ax ... Ay}. For example, performing "ADD 2 4 1" on {1, 2, 3, 4, 5} results in {1, 3, 4, 5, 5}
- REVERSE x y: reverse the sub-sequence {Ax ... Ay}. For example, performing "REVERSE 2 4" on {1, 2, 3, 4, 5} results in {1, 4, 3, 2, 5}
- REVOLVE x y T: rotate sub-sequence {Ax ... Ay} T times. For example, performing "REVOLVE 2 4 2" on {1, 2, 3, 4, 5} results in {1, 3, 4, 2, 5}
- INSERT x P: insert P after Ax. For example, performing "INSERT 2 4" on {1, 2, 3, 4, 5} results in {1, 2, 4, 3, 4, 5}
- DELETE x: delete Ax. For example, performing "DELETE 2" on {1, 2, 3, 4, 5} results in {1, 3, 4, 5}
- MIN x y: query the participant what is the minimum number in sub-sequence {Ax ... Ay}. For example, the correct answer to "MIN 2 4" on {1, 2, 3, 4, 5} is 2
To make the show more interesting, the participant is granted a chance to turn to someone else that means when Jackson feels difficult in answering a query he may call you for help. You task is to watch the TV show and write a program giving the correct answer to each query in order to assist Jackson whenever he calls.
Input
The first line contains n (n ≤ 100000).
The following n lines describe the sequence.
Then follows M (M ≤ 100000), the numbers of operations and queries.
The following M lines describe the operations and queries.
Output
For each "MIN" query, output the correct answer.
Sample Input
6
1
7
8
5
2
9
8
ADD 1 3 2
INSERT 4 7
REVERSE 1 7
MIN 3 5
DEL 2
DEL 3
REVOLVE 1 5 3
MIN 1 3
Sample Output
5
3
伸展树模板题,几乎所有的操作都在里面了。。
#include<algorithm> #include<iostream> #include<cstdlib> #include<cstring> #include<cstdio> #include<vector> #include<set> using std::set; using std::min; using std::pair; using std::swap; using std::vector; using std::multiset; #define pb(e) push_back(e) #define sz(c) (int)(c).size() #define mp(a, b) make_pair(a, b) #define all(c) (c).begin(), (c).end() #define iter(c) __typeof((c).begin()) #define cls(arr, val) memset(arr, val, sizeof(arr)) #define cpresent(c, e) (find(all(c), (e)) != (c).end()) #define rep(i, n) for(int i = 0; i < (int)n; i++) #define tr(c, i) for(iter(c) i = (c).begin(); i != (c).end(); ++i) const int N = 1 << 17; const int INF = ~0u >> 1; int arr[N]; struct Node { bool rev; int dat, s, mval, delta; Node *fa, *ch[2]; inline void set(int _dat, int _s, Node *p) { rev = delta =0; dat = mval = _dat, s = _s; fa = ch[0] = ch[1] = p; } inline bool dir() const { return this == fa->ch[0]; } inline void link(Node *x, bool d) { ch[d] = x, x->fa = this; } inline void push_up() { s = ch[0]->s + ch[1]->s + 1; mval = min(dat, min(ch[0]->mval, ch[1]->mval)); } inline void update() { if(!s) return; rev ^= 1; swap(ch[0], ch[1]); } inline void add(int v) { if(!s) return; delta += v; mval += v; dat += v; } inline void push_down() { if(delta) { ch[0]->add(delta); ch[1]->add(delta); delta = 0; } if(rev) { ch[0]->update(); ch[1]->update(); rev ^= 1; } } }; #define RRL root->ch[1]->ch[0] struct SplayTree { int top; Node *root, *tail; Node *null, stack[N], *pool[N >> 1]; inline void init(int n) { top = 0, tail = &stack[0]; null = tail++; null->set(INF, 0, NULL); root = newNode(INF); root->link(newNode(INF), 1); Node *x = built(1, n); root->ch[1]->link(x, 0); root ->ch[1]->push_up(); root->push_up(); splay(x, null); } inline Node *newNode(int v) { Node *p = !top ? tail++ : pool[--top]; p->set(v, 1, null); return p; } inline Node *built(int l, int r) { if(l > r) return null; int mid = (l + r) >> 1; Node *p = newNode(arr[mid]); p->ch[0] = built(l, mid - 1); if(p->ch[0]->s) p->ch[0]->fa = p; p->ch[1] = built(mid + 1, r); if(p->ch[1]->s) p->ch[1]->fa = p; p->push_up(); return p; } inline void rotate(Node *&x, bool d) { Node *y = x->fa; y->push_down(), x->push_down(); y->ch[!d] = x->ch[d]; if(x->ch[d]->s) x->ch[d]->fa = y; x->fa = y->fa; if(y->fa->s) y->fa->ch[!y->dir()] = x; x->ch[d] = y; y->fa = x, y->push_up(); if(y == root) root = x; } inline void splay(Node *x, Node *f) { for(;x->fa !=f ;x->push_down()) { if(x->fa->fa == f) { rotate(x, x->dir()); } else { bool d = x->fa->dir(); if(d == x->dir()) rotate(x->fa, d), rotate(x, d); else rotate(x, !d), rotate(x, d); } } x->push_up(); } inline Node *select(Node *x, int k) { for(int t = 0; x->s; ) { x->push_down(); t = x->ch[0]->s; if(t == k) break; if(k < t) x = x->ch[0]; else k -= t + 1, x = x->ch[1]; } return x; } inline void get_range(int l, int r) { splay(select(root, l - 1), null); splay(select(root, r + 1), root); } inline void add(int l, int r, int v) { get_range(l, r); RRL->add(v); splay(RRL, null); } inline void insert(int k, int v) { splay(select(root, k), null); splay(select(root, k + 1), root); root->ch[1]->link(newNode(v), 0); root->ch[1]->push_up(); root->push_up(); splay(RRL, null); } inline void reverse(int l, int r) { get_range(l, r); RRL->update(); } inline void revolve(int l, int r, int k) { int len = (r - l + 1); k = (k % len + len) % len; if(!k) return; if(1 == k) { erase(r); insert(l - 1, pool[--top]->dat); } else { splay(select(root, r - k + 1), null); splay(select(root, r + 1), root); splay(select(root, l - 1), root); splay(select(root, r), root->ch[1]); Node *x = root->ch[0]->ch[1]; root->ch[0]->ch[1] = null; root->ch[0]->push_up(); root->ch[1]->ch[0]->link(x, 1); splay(x, null); } } inline void erase(int k) { splay(select(root, k), null); Node *ret = root; root = root->ch[1]; root->fa = null; splay(select(root, 0), null); root->ch[0] = ret->ch[0]; root->ch[0]->fa = root; root->push_up(); pool[top++] = ret; } inline void query(int l, int r) { get_range(l, r); printf("%d ", RRL->mval); } }spt; int main() { #ifdef LOCAL freopen("in.txt", "r", stdin); freopen("out.txt", "w+", stdout); #endif char buf[20]; int n, q, a, b, c; while(~scanf("%d", &n)) { rep(i, n) scanf("%d", &arr[i + 1]); spt.init(n); scanf("%d", &q); while(q--) { scanf("%s", buf); if('D' == buf[2]) { scanf("%d %d %d", &a, &b, &c); spt.add(a, b, c); } else if('S' == buf[2]) { scanf("%d %d", &a, &b); spt.insert(a, b); } else if('V' == buf[2] && 'E' == buf[3]) { scanf("%d %d", &a, &b); spt.reverse(a, b); } else if('V' == buf[2] && 'O' == buf[3]) { scanf("%d %d %d", &a, &b, &c); spt.revolve(a, b, c); } else if('L' == buf[2]) { scanf("%d", &a); spt.erase(a); } else if('N' == buf[2]) { scanf("%d %d", &a, &b); spt.query(a, b); } } } return 0; }