2020年3月蓝桥杯校内模拟赛题解
2024-05-10 08:09:34
第一题：
#include<iostream>
#include<cstdio>
#include<vector>
#include<stack>
#include<queue>
#include<map>
#include<set>
#include<deque>
using namespace std;
int main()
{set<int>res;for(int i = 1; i <= 1200000; i++){if(1200000%i == 0){res.insert(i);res.insert(1200000/i);}}/*set<int>::iterator it = res.begin();for( ; it != res.end(); it++){cout<<*it<<endl;}*/cout<<res.size();return 0;
}
第二题：
第三题：上一也是这个,上次看成二叉树的了。。
第四题：
#include<iostream>
#include<cstdio>
#include<vector>
#include<stack>
#include<queue>
#include<map>
#include<set>
#include<deque>
using namespace std;
int main()
{int res =0;for(int i =1; i<=2019;i++){int t = i;while(t > 0){int tt = t%10;if(tt==9){cout<<i<<endl;res++;break; }t/=10;}}cout<<res;return 0;
}
第五题：我怕时间复杂度有点高，就先打了表(这里网页可能有点卡，哈哈)
打表用的
#include<iostream>
#include<cstdio>
#include<vector>
#include<stack>
#include<queue>
#include<map>
#include<set>
#include<deque>
using namespace std;
int main()
{int res =0;int n=0;for(int i = 1; i <= 1000000; i++){int t = i;int t1 = 9;bool flag = true;while(t > 0){//从右往左比int t2 = t%10;if(t1 < t2){flag = false;break;}else{t1 = t2;}t/=10;}if(flag){n++;cout<<i<<","; }}cout<<n; return 0;
}
提交的代码：
#include<iostream>
using namespace std;int main()
{int n;cin>>n;int res = 0;int nums[5100] = 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i =0; i < 5004; i++){if(nums[i] <= n){res++;}}cout<<res;return 0;
}
------更新3月25日 -------------------------------------------------------
不打表也不会超时 时间复杂度最差是O(8*100000)
第六题：
思路：O(n)解法
vector<int>mins(n+1); /// mins[i] 表示 [0,i-1]里最小的元素
vector<int>maxs(n+1); ///maxs[i] 表示[i+1,n-1]里最大的元素
如果`mins[i] < nums[i] && nums[i] < maxs[i]` 答案就加1
#include<iostream>
#include<vector>
using namespace std;int main()
{int n;cin>>n;vector<int>nums(n, 0);vector<int>mins(n+1); /// mins[i] 表示 [0,i-1]里最小的元素vector<int>maxs(n+1); ///maxs[i] 表示[i+1,n-1]里最大的元素mins[0] = 999999999;for(int i = 0; i < n; i++){cin>>nums[i];if(nums[i] < mins[i]){mins[i+1] = nums[i];}else{mins[i+1] = mins[i];}}maxs[n-1] = -999999999;for(int i = n-1; i >= 1; i--){if(nums[i] > maxs[i]){maxs[i-1] = nums[i];}else{maxs[i-1] = maxs[i];}}int res = 0;for(int i = 1; i < n -1; i++){if(mins[i] < nums[i] && nums[i] < maxs[i]){res++;}}cout<<res;return 0;
}
第七题：
#include<iostream>
#include<string>
#include<vector>
using namespace std;int main()
{string str;cin>>str;int n = str.size();vector<bool>dp(n,false);for(int i = 0; i < n; i++){dp[i] = (str[i] == 'a' || str[i] == 'e' || str[i] == 'i' || str[i] == 'o' || str[i] == 'u');} bool flag = true;int cnt = 0;if(dp[0] == true || dp[n-1] == false) flag = false; // 头尾先判断下if(flag == true){int left = 1, right = n-2;while(left < right && dp[left] == false) left++; //跳到第二段while(left < right && dp[right] == true) right--;//跳到第三段if(left < right){//第三段和第二段不是一段for(int i = left; i <= right; i++){//这之间只能有一段是元音连着的 hhheelleellee不行if(dp[i] == true){while(i <= right && dp[i] == true) i++;cnt++;} }} }if(cnt == 1) cout<<"yes";else cout<<"no";return 0;
}
第8题：
一块草地只会扩张一次
#include<iostream>
#include<vector>
#include<queue>
#include<string>
#include<set>
using namespace std;int main()
{int n,m;cin>>n>>m;vector< vector<bool> >mp(n, vector<bool>(m, false)); //mp[i][j] = true 则有草queue< pair<int,int> >q; //队列for(int i = 0; i < n; i++){string str;cin>>str;for(int j = 0; j < m; j++){if(str[j] == 'g'){mp[i][j] = true;pair<int,int>p;p.first = i;p.second = j;q.push(p);}}}int dx[4] = {-1,0,1,0}; //上右下左int dy[4] = {0, 1,0,-1}; //上右下左int k;cin>>k;while(!q.empty() && k > 0){k--;int len = q.size();//当前草地数for(int i = 0; i < len; i++){//扩张pair<int,int>cur = q.front(); q.pop();for(int j = 0; j < 4; j++){int x = cur.first + dx[j], y = cur.second + dy[j];if(x >= 0 && x < n && y >= 0 && y < m && mp[x][y] == false){mp[x][y] = true;pair<int,int>p;p.first = x;p.second = y;q.push(p);}}}}//输出for(int i = 0; i < n; i ++){for(int j = 0; j < m; j++){if(mp[i][j] == true){cout<<"g"; }else{cout<<".";}}cout<<endl;} return 0;
}
第九题：
dfs+记忆化:不能全对，1000的时候好久才有输出
#include<iostream>
#include<vector>
#include<map>
#include<cmath>
#include<set>using namespace std;map<pair<int,int>,int >hash;int dfs(int last1, int last2)
{int lastAbs = abs(last2 - last1);pair<int,int>cur;cur.first = last1;cur.second = lastAbs;if(hash.find(cur) != hash.end()){return hash[cur];}int cnt = 1;for(int i = 1; i < lastAbs; i++){cnt += dfs(i, last1);}cnt %= 10000; hash[cur] = cnt;return cnt;
}
int main()
{int n;cin>>n;int res = 0;for(int i = 1; i <= n; i++){res += dfs(i, n);res %= 10000;}cout<<res;return 0;
}
这题全对的做法参考这篇文章https://blog.csdn.net/zhengwei223/article/details/105065435
#include<iostream>
#include<vector>
#include<map>
#include<cmath>
#include<set>using namespace std;int dp[1010][1010] = {0};
int MOD = 10000;
int dfs(int pre, int cur)
{if(cur < 1) return 0;if(dp[pre][cur] != 0) return dp[pre][cur];return dp[pre][cur] = (1 + dfs(pre, cur-1) + dfs(cur, abs(pre - cur)-1))%MOD;
}
int main()
{int n;cin>>n;int res = 0;res = dfs(n,n)%MOD;cout<<res;return 0;
}
第十题：
一开始写的这个
#include<iostream>
#include<vector>
#include<queue>
#include<algorithm>
#include<set>using namespace std;
int main()
{int n,m;cin>>n>>m;priority_queue<pair<int,int>, vector<pair<int,int> >, less<pair<int,int> > >pq;//大根堆vector<pair<int,int> >res;int start = n - m;int num = 0;for(int i = 0; i < n; i++){cin>>num;pair<int,int>p;p.first = num;p.second = i;pq.push(p);if(i >= start){//从第i个数起就得挑最好看的j节目了pair<int,int> t = pq.top();pq.pop();pair<int,int>tmp;tmp.first = t.second;tmp.second = t.first;res.push_back(tmp);}} sort(res.begin(), res.end());for(int i = 0; i < m; i++){cout<<res[i].second<<" ";}return 0;
}
提交的是这个：我好像多想了，应该是上面这
#include<iostream>
#include<vector>
#include<queue>
#include<algorithm> using namespace std;
struct st{int x;int i;st(int _x, int _i){x = _x;i = _i;}friend bool operator <(st a, st b){return a.x != b.x ? a.x < b.x : a.i > b.i; }
};
int main()
{int n,m;cin>>n>>m;priority_queue<st>pq;vector<pair<int,int> >res;int start = n - m;int num = 0;for(int i = 0; i < n; i++){cin>>num;st s(num,i);pq.push(s);if(i >= start){st t = pq.top();pq.pop();pair<int,int>tmp;tmp.first = t.i;tmp.second = t.x;res.push_back(tmp);}} sort(res.begin(), res.end());for(int i = 0; i < m; i++){cout<<res[i].second<<" ";}return 0;
}
应该是聪明反被聪明误了，以下是两者区别(排序不一样)
10 3
1 5 2 5 6 7 5 5 2 2 2
第一个的输出：
第二个的输出:
------3月25日更新：第10题写错了，题意理解错了-------
可以看这个篇，官方老师写的：
https://blog.csdn.net/zhengwei223/article/details/105065435
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