結果

問題 No.123 カードシャッフル
ユーザー koyumeishi
提出日時 2015-01-11 23:26:58
言語 C++11
(gcc 4.8.5)
結果
AC  
実行時間 71 ms / 5,000 ms
コード長 7,018 Byte
コンパイル時間 647 ms
使用メモリ 1,884 KB
最終ジャッジ日時 2020-05-03 18:34:26

テストケース

テストケース表示
入力 結果 実行時間
使用メモリ
testcase_00 AC 2 ms
1,576 KB
testcase_01 AC 2 ms
1,572 KB
testcase_02 AC 2 ms
1,572 KB
testcase_03 AC 3 ms
1,572 KB
testcase_04 AC 2 ms
1,572 KB
testcase_05 AC 2 ms
1,576 KB
testcase_06 AC 2 ms
1,576 KB
testcase_07 AC 3 ms
1,576 KB
testcase_08 AC 2 ms
1,572 KB
testcase_09 AC 2 ms
1,576 KB
testcase_10 AC 31 ms
1,880 KB
testcase_11 AC 44 ms
1,884 KB
testcase_12 AC 71 ms
1,884 KB
testcase_13 AC 71 ms
1,880 KB
権限があれば一括ダウンロードができます

ソースコード

diff #
#include <iostream>
#include <vector>
#include <cstdio>
#include <sstream>
#include <map>
#include <string>
#include <algorithm>
#include <queue>
#include <cmath>

using namespace std;


template<class Type>
class Treap{
public:
	static const Type MIN_VAL = -100000000;
	static const Type MAX_VAL = +100000000;
	
	class Node{
	public:
		Type value;
		unsigned int priority;

		Node* left;
		Node* right;

		int sub_tree_size;

		//sub tree + pos
		Type sub_tree_sum;
		Type sub_tree_min;
		Type sub_tree_max;

		//reversed flag
		bool is_reversed;

		//range added flag
		bool is_range_added;
		int range_added_val;
		
		Node(Type val, unsigned int pri) :
		value(val),
		priority(pri),
		sub_tree_size(1),
		sub_tree_sum(val),
		sub_tree_min(val),
		sub_tree_max(val),
		left((Node*)NULL),
		right((Node*)NULL),
		is_reversed(false),
		is_range_added(false),
		range_added_val(0){
			
		}
	};
	Node* root;
	
	Treap(){
		root = (Node*)NULL;
	}

	int size(Node* t){
		if(t!=NULL) return t->sub_tree_size;
		else return 0;
	}

	Type sum(Node* t){
		if(t!=NULL) return t->sub_tree_sum;
		else return 0;
	}
	
	Type get_min(Node* t){
		if(t!=NULL) return t->sub_tree_min;
		else return MAX_VAL;
	}
	
	Type get_max(Node* t){
		if(t!=NULL) return t->sub_tree_max;
		else return MIN_VAL;
	}
	
	void push_reverse(Node* t){
		if(t == NULL) return;
		
		//node is reversed
		if(t->is_reversed == true){
			swap(t->left, t->right);
			if(t->left) t->left->is_reversed ^= true;
			if(t->right) t->right->is_reversed ^= true;
			t->is_reversed = false;
		}
	}
	
	void push_range_add(Node* t){
		if(t == NULL) return;
		
		//added
		if(t->is_range_added == true){
			t->value += t->range_added_val;
			
			if(t->left){
				t->left->is_range_added = true;
				t->left->range_added_val += t->range_added_val;
			}
			if(t->right){
				t->right->is_range_added = true;
				t->right->range_added_val += t->range_added_val;
			}
			
			t->is_range_added = false;
			t->range_added_val = 0;
		}
	}

	void push(Node* t){
		//push_reverse(t);
		//push_range_add(t);
	}

	void reverse(Node* t){
		if(t == NULL) return;
		t->is_reversed ^= true;
	}

	void add(Node* t, Type v){
		if(t == NULL) return;
		t->is_range_added = true;
		t->range_added_val += v;
	}
	
	Node* update(Node* t){
		t->sub_tree_size = size( t->left ) + size( t->right ) + 1;
		
		push(t);
		t->sub_tree_sum = sum( t->left ) + sum( t->right ) + t->value;
		
		t->sub_tree_max = max( max( get_max( t->left ), get_max( t->right ) ), t->value );
		t->sub_tree_min = min( min( get_min( t->left ), get_min( t->right ) ), t->value );
		
		return t;
	}

	Node* merge(Node *l, Node *r){
		if(l==NULL) return r;
		if(r==NULL) return l;

		push(r);
		push(l);
		
		//left sub-tree has higher priority
		if( l->priority > r->priority){
			l->right = merge(l->right, r);
			return update(l);
		}else{	// right sub-tree has higher priority
			r->left = merge(l, r->left);
			return update(r);
		}
	}

	//split (( [0,k), [k,n) ]]
	pair<Node*, Node*> split(Node* t, int k){
		if(t == NULL) return make_pair((Node*)NULL, (Node*)NULL);

		push(t);
		
		if(k <= size(t->left)){
			pair<Node*, Node*> s = split(t->left, k);
			t->left = s.second;
			return make_pair(s.first, update(t) );
		}else{
			pair<Node*, Node*> s = split(t->right, k - size(t->left) -1 );
			t->right = s.first;
			return make_pair(update(t), s.second);
		}
	}

	Node* insert(Node* t, int k, Type val, unsigned int pri){
		pair<Node*, Node*> s = split(t, k);

		t = merge(s.first, new Node(val, pri));
		t = merge(t, s.second);

		return update(t);
	}

	Node* erase(Node* t, int k){
		//[0,k],[k+1,n-1]
		pair<Node*, Node*> s1 = split(t,k+1);
		//[0,k-1],[k,k]
		pair<Node*, Node*> s2 = split(s1.first, k);

		t = merge(s2.first, s1.second);
		return update(t);
	}

	//return k th node
	Node* find(Node* t, int k){
		push(t);
		
		int c = size(t->left);
		if(k<c) return find( t->left, k);
		if(k>c) return find( t->right, k-c-1);
		return t;
	}

	void insert(int k, Type val){
		root = insert(root, k, val, rand());
	}
	void erase(int k){
		root = erase(root, k);
	}
	Node* find(int k){
		return find(root, k);
	}

	//split at pos[i]
	//return root nodes begin with [ 0, pos[0], pos[1], ... , pos[n-1] ]
	vector<Node*> split_at(Node* t, const vector<int> &pos){
		vector<Node*> ret(pos.size()+1);
		for(int i=pos.size()-1; i>=0; i--){
			pair<Node*, Node*> p = split(t, pos[i]);
			ret[i+1] = p.second;
			t = p.first;
		}
		ret[0] = t;
		
		return ret;
	}
	
	//merge nodes in vector<Node*> v
	Node* merge_vec(const vector<Node*> &v){
		Node* r = v[0];
		for(int i=1; i<v.size(); i++){
			r = merge(r, v[i]);
		}
		return r;
	}

	//[l,r) <-> [x,y)
	void swap_range(int l, int r, int x, int y){
		//((((( [0,l) + [l,r) + [r,x) + [x,y) + [y,n) ]]]]]
		vector<Node*> v = split_at(root, vector<int>{l,r,x,y});
		swap(v[1], v[3]);
		root = merge_vec(v);
	}

	//reverse range[l,r] -> [r,l]
	void reverse_range(int l, int r){
		vector<Node*> v = split_at(root, vector<int>{l,r+1});
		reverse(v[1]);
		root = merge_vec(v);
	}

	//add range [l,r].val += val
	void add_range(int l, int r, int val){
		vector<Node*> v = split_at(root, vector<int>{l,r+1});
		add(v[1], val);
		root = merge_vec(v);
	}

	//get minimum in range [l,r]
	Type get_range_min(int l, int r){
		vector<Node*> v = split_at(root, vector<int>{l,r+1});
		push(v[1]);
		Type ret = v[1]->sub_tree_min;
		root = merge_vec(v);
		return ret;
	}

	//get maxmum in range [l,r]
	Type get_range_max(int l, int r){
		vector<Node*> v = split_at(root, vector<int>{l,r+1});
		push(v[1]);
		Type ret = v[1]->sub_tree_max;
		root = merge_vec(v);
		return ret;
	}


	//get maxmum in range [l,r]
	Type get_range_sum(int l, int r){
		vector<Node*> v = split_at(root, vector<int>{l,r+1});
		push(v[1]);
		Type ret = v[1]->sub_tree_sum;
		root = merge_vec(v);
		return ret;
	}

	void get_all_value(Node* t, int offset, vector<Type> &v){
		if(t==NULL) return;
		
		push(t);

		int c = size(t->left);
		v[ c + offset ] = t->value;
		get_all_value( t->left, offset, v);
		get_all_value( t->right, c+1+offset, v);
	}

	void get_all_value(vector<Type> &v){
		get_all_value(root, 0, v);
	}

	//get [l,r)
	void get_range_value(Node* t, int offset, vector<Type> &v, const int &l, const int &r){
		if(t==NULL) return;
		
		push(t);

		int c = size(t->left);
		int pos = c+offset;
		if( l<= pos && pos < r ) v[ pos-l ] = t->value;
		if(offset < r && l <= pos-1) get_range_value( t->left, offset, v, l, r);
		if(pos+1 < r && l <= pos+size(t->right)) get_range_value( t->right, pos+1, v, l, r);
	}

	//get [l,r)
	void get_range_value(vector<Type> &v, const int &l, const int &r){
		get_range_value(root, 0, v, l, r);
	}

};


int main(){
	int n, m;
	cin >> n >> m;
	vector<int> A(m);
	for(int i=0; i<m; i++){
		cin >> A[i];
		A[i]--;
	}

	Treap<int> t;
	for(int i=0; i<n; i++){
		t.insert(i, i+1);
	}

	for(int i=0; i<m; i++){
		auto v = t.split_at(t.root, {A[i],A[i]+1});
		swap(v[0], v[1]);
		t.root = t.merge_vec(v);
	}

	int ans = t.find(0)->value;
	cout << ans << endl;
	
	return 0;
}
0