2020年3月蓝桥杯校内模拟赛题解
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::iterator it = res.begin();
for( ; it != res.end(); it++)
{
cout<<*it<
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] = {1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,22,23,24,25,26,27,28,29,33,34,35,36,37,38,39,44,45,46,47,48,49,55,56,57,58,59,66,67,68,69,77,78,79,88,89,99,111,112,113,114,115,116,117,118,119,122,123,124,125,126,127,128,129,133,134,135,136,137,138,139,144,145,146,147,148,149,155,156,157,158,159,166,167,168,169,177,178,179,188,189,199,222,223,224,225,226,227,228,229,233,234,235,236,237,238,239,244,245,246,247,248,249,255,256,257,258,259,266,267,268,269,277,278,279,288,289,299,333,334,335,336,337,338,339,344,345,346,347,348,349,355,356,357,358,359,366,367,368,369,377,378,379,388,389,399,444,445,446,447,448,449,455,456,457,458,459,466,467,468,469,477,478,479,488,489,499,555,556,557,558,559,566,567,568,569,577,578,579,588,589,599,666,667,668,669,677,678,679,688,689,699,777,778,779,788,789,799,888,889,899,999,1111,1112,1113,1114,1115,1116,1117,1118,1119,1122,1123,1124,1125,1126,1127,1128,1129,1133,1134,1135,1136,1137,1138,1139,1144,1145,1146,1147,1148,1149,1155,1156,1157,1158,1159,1166,1167,1168,1169,1177,1178,1179,1188,1189,1199,1222,1223,1224,1225,1226,1227,1228,1229,1233,1234,1235,1236,1237,1238,1239,1244,1245,1246,1247,1248,1249,1255,1256,1257,1258,1259,1266,1267,1268,1269,1277,1278,1279,1288,1289,1299,1333,1334,1335,1336,1337,1338,1339,1344,1345,1346,1347,1348,1349,1355,1356,1357,1358,1359,1366,1367,1368,1369,1377,1378,1379,1388,1389,1399,1444,1445,1446,1447,1448,1449,1455,1456,1457,1458,1459,1466,1467,1468,1469,1477,1478,1479,1488,1489,1499,1555,1556,1557,1558,1559,1566,1567,1568,1569,1577,1578,1579,1588,1589,1599,1666,1667,1668,1669,1677,1678,1679,1688,1689,1699,1777,1778,1779,1788,1789,1799,1888,1889,1899,1999,2222,2223,2224,2225,2226,2227,2228,2229,2233,2234,2235,2236,2237,2238,2239,2244,2245,2246,2247,2248,2249,2255,2256,2257,2258,2259,2266,2267,2268,2269,2277,2278,2279,2288,2289,2299,2333,2334,2335,2336,2337,2338,2339,2344,2345,2346,2347,2348,2349,2355,2356,2357,2358,2359,2366,2367,2368,2369,2377,2378,2379,2388,2389,2399,2444,2445,2446,2447,2448,2449,2455,2456,2457,2458,2459,2466,2467,2468,2469,2477,2478,2479,2488,2489,2499,2555,2556,2557,2558,2559,2566,2567,2568,2569,2577,2578,2579,2588,2589,2599,2666,2667,2668,2669,2677,2678,2679,2688,2689,2699,2777,2778,2779,2788,2789,2799,2888,2889,2899,2999,3333,3334,3335,3336,3337,3338,3339,3344,3345,3346,3347,3348,3349,3355,3356,3357,3358,3359,3366,3367,3368,3369,3377,3378,3379,3388,3389,3399,3444,3445,3446,3447,3448,3449,3455,3456,3457,3458,3459,3466,3467,3468,3469,3477,3478,3479,3488,3489,3499,3555,3556,3557,3558,3559,3566,3567,3568,3569,3577,3578,3579,3588,3589,3599,3666,3667,3668,3669,3677,3678,3679,3688,3689,3699,3777,3778,3779,3788,3789,3799,3888,3889,3899,3999,4444,4445,4446,4447,4448,4449,4455,4456,4457,4458,4459,4466,4467,4468,4469,4477,4478,4479,4488,4489,4499,4555,4556,4557,4558,4559,4566,4567,4568,4569,4577,4578,4579,4588,4589,4599,4666,4667,4668,4669,4677,4678,4679,4688,4689,4699,4777,4778,4779,4788,4789,4799,4888,4889,4899,4999,5555,5556,5557,5558,5559,5566,5567,5568,5569,5577,5578,5579,5588,5589,5599,5666,5667,5668,5669,5677,5678,5679,5688,5689,5699,5777,5778,5779,5788,5789,5799,5888,5889,5899,5999,6666,6667,6668,6669,6677,6678,6679,6688,6689,6699,6777,6778,6779,6788,6789,6799,6888,6889,6899,6999,7777,7778,7779,7788,7789,7799,7888,7889,7899,7999,8888,8889,8899,8999,9999,11111,11112,11113,11114,11115,11116,11117,11118,11119,11122,11123,11124,11125,11126,11127,11128,11129,11133,11134,11135,11136,11137,11138,11139,11144,11145,11146,11147,11148,11149,11155,11156,11157,11158,11159,11166,11167,11168,11169,11177,11178,11179,11188,11189,11199,11222,11223,11224,11225,11226,11227,11228,11229,11233,11234,11235,11236,11237,11238,11239,11244,11245,11246,11247,11248,11249,11255,11256,11257,11258,11259,11266,11267,11268,11269,11277,11278,11279,11288,11289,11299,11333,11334,11335,11336,11337,11338,11339,11344,11345,11346,11347,11348,11349,11355,11356,11357,11358,11359,11366,11367,11368,11369,11377,11378,11379,11388,11389,11399,11444,11445,11446,11447,11448,11449,11455,11456,11457,11458,11459,11466,11467,11468,11469,11477,11478,11479,11488,11489,11499,11555,11556,11557,11558,11559,11566,11567,11568,11569,11577,11578,11579,11588,11589,11599,11666,11667,11668,11669,11677,11678,11679,11688,11689,11699,11777,11778,11779,11788,11789,11799,11888,11889,11899,11999,12222,12223,12224,12225,12226,12227,12228,12229,12233,12234,12235,12236,12237,12238,12239,12244,12245,12246,12247,12248,12249,12255,12256,12257,12258,12259,12266,12267,12268,12269,12277,12278,12279,12288,12289,12299,12333,12334,12335,12336,12337,12338,12339,12344,12345,12346,12347,12348,12349,12355,12356,12357,12358,12359,12366,12367,12368,12369,12377,12378,12379,12388,12389,12399,12444,12445,12446,12447,12448,12449,12455,12456,12457,12458,12459,12466,12467,12468,12469,12477,12478,12479,12488,12489,12499,12555,12556,12557,12558,12559,12566,12567,12568,12569,12577,12578,12579,12588,12589,12599,12666,12667,12668,12669,12677,12678,12679,12688,12689,12699,12777,12778,12779,12788,12789,12799,12888,12889,12899,12999,1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for(int 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
vectormins(n+1); /// mins[i] 表示 [0,i-1]里最小的元素
vectormaxs(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