2020年蓝桥杯省赛第二场C++B组题解
2021/7/16 12:35:41
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A.
暴力计算即可。
// #pragma GCC optimize(2)
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <queue>
#include <cmath>
#include <string>
#include <vector>
#include <stack>
#include <map>
#include <sstream>
#include <cstring>
#include <set>
#include <cctype>
#include <bitset>
#define IO \
ios::sync_with_stdio(false); \
// cout.tie(0);
using namespace std;
// int dis[8][2] = {0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1};
typedef unsigned long long ULL;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 2e8 + 10;
const int maxm = 2e5 + 10;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int inf = 0x3f3f3f3f;
const LL mod = 1e9 + 7;
const double eps = 1e-8;
const double pi = acos(-1);
int dis[4][2] = {1, 0, 0, -1, 0, 1, -1, 0};
int m[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
int ans = 0;
int count(int n)
{
int cnt = 0;
while (n)
{
int t = n % 10;
if (t == 2)
cnt++;
n = n / 10;
}
return cnt;
}
int main()
{
#ifdef WXY
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
IO;
for (int i = 1; i <= 2020; i++)
ans += count(i);
cout << ans;
return 0;
}
624
容易找规律发现相邻两项之间的关系。
// #pragma GCC optimize(2)
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <queue>
#include <cmath>
#include <string>
#include <vector>
#include <stack>
#include <map>
#include <sstream>
#include <cstring>
#include <set>
#include <cctype>
#include <bitset>
#define IO \
ios::sync_with_stdio(false); \
// cout.tie(0);
using namespace std;
// int dis[8][2] = {0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1};
typedef unsigned long long ULL;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 2e8 + 10;
const int maxm = 2e5 + 10;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int inf = 0x3f3f3f3f;
const LL mod = 1e9 + 7;
const double eps = 1e-8;
const double pi = acos(-1);
int dis[4][2] = {1, 0, 0, -1, 0, 1, -1, 0};
int m[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
int main()
{
#ifdef WXY
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
IO;
int a[50];
int t = 1;
a[1] = 1;
for (int i = 2; i <= 20;i++)
a[i] = a[i - 1] + t * 4, t++;
cout << a[20];
return 0;
}
761
C.
暴力判断即可。
// #pragma GCC optimize(2)
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <queue>
#include <cmath>
#include <string>
#include <vector>
#include <stack>
#include <map>
#include <sstream>
#include <cstring>
#include <set>
#include <cctype>
#include <bitset>
#define IO \
ios::sync_with_stdio(false); \
// cout.tie(0);
using namespace std;
// int dis[8][2] = {0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1};
typedef unsigned long long ULL;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 2e8 + 10;
const int maxm = 2e5 + 10;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int inf = 0x3f3f3f3f;
const LL mod = 1e9 + 7;
const double eps = 1e-8;
const double pi = acos(-1);
int dis[4][2] = {1, 0, 0, -1, 0, 1, -1, 0};
int m[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
int gcd(int a, int b)
{
if (b == 0)
return a;
else
return gcd(b, a % b);
}
int main()
{
#ifdef WXY
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
IO;
int ans = 0;
for (int i = 1; i <= 2020; i++)
for (int j = 1; j <= 2020; j++)
if (gcd(i, j) == 1)
ans++;
cout << ans;
return 0;
}
2481215
D.
比赛的时候因为怕数迷，就没用日历表数,现在回想一下真该检查的时候数一遍。
这题我写的8880，就是因为打印函数返回值出的锅（调用函数会导致全局变量改变），但凡当时用变量存一下函数返回值也不会错了，一念之间。。。省一没了。。。。
// #pragma GCC optimize(2)
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <queue>
#include <cmath>
#include <string>
#include <vector>
#include <stack>
#include <map>
#include <sstream>
#include <cstring>
#include <set>
#include <cctype>
#include <bitset>
#define IO \
ios::sync_with_stdio(false); \
// cout.tie(0);
using namespace std;
// int dis[8][2] = {0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1};
typedef unsigned long long ULL;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 2e8 + 10;
const int maxm = 2e5 + 10;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int inf = 0x3f3f3f3f;
const LL mod = 1e9 + 7;
const double eps = 1e-8;
const double pi = acos(-1);
int dis[4][2] = {1, 0, 0, -1, 0, 1, -1, 0};
int m[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
int w = 5;
bool rui(int n)
{
if (n % 400 == 0 || (n % 4 == 0 && n % 100 != 0))
return true;
return false;
}
int count(int year)
{
int cnt = 0;
if (rui(year))
m[2] += 1;
if (year == 2020)
{
for (int i = 1; i <= 9; i++)
{
for (int j = 1; j <= m[i]; j++)
{
if (w == 0 || j == 1)
{
cnt++;
}
w = (w + 1) % 7;
}
}
}
else
{
for (int i = 1; i <= 12; i++)
{
for (int j = 1; j <= m[i]; j++)
{
if (w == 0 || j == 1)
{
cnt++;
}
w = (w + 1) % 7;
}
}
}
if (rui(year))
m[2] -= 1;
return cnt;
}
int main()
{
#ifdef WXY
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
IO;
int ans = 0;
for (int i = 2000; i <= 2020; i++)
{
// cout << count(i) << endl;
// 一念之间 天堂地狱
// 闲的没事非打印干嘛？！
// 打印完了还不注释掉？！
ans += count(i);
}
cout << ans + 7580 + 1; // 最后再加上10.1这一天
return 0;
}
8879
E.
可以用二维数组建图然后跑bfs判断是否连通。
#include<bits/stdc++.h>
using namespace std;
int dis[6][2] = {1, -1, -1, 1, -1, -1, 1, 1, 2, 0, -2, 0};
struct Node
{
int x, y;
Node(){};
Node(int a, int b)
{
x = a, y = b;
}
};
int g[10][10];
bool book[10][10];
bool vis[10];
int a[10];
int C, ans;
bool BFS(int all)
{
memset(book, false, sizeof book);
int sx, sy;
for (int i = 1; i <= 5; i++)
for (int j = 1; j <= 3; j++)
if (g[i][j] == 1)
{
sx = i, sy = j;
break;
}
queue<Node> q;
q.push(Node(sx, sy));
book[sx][sy] = true;
int cnt = 0;
while (!q.empty())
{
Node now = q.front();
q.pop();
cnt++;
if (now.y == 2)
{
for (int i = 0; i < 4; i++)
{
int tx = now.x + dis[i][0];
int ty = now.y + dis[i][1];
if (tx >= 1 && tx <= 5 && ty >= 1 && ty <= 3 && g[tx][ty] == 1 && book[tx][ty] == false)
{
book[tx][ty] = true;
q.push(Node(tx, ty));
}
}
}
else
{
for (int i = 0; i < 6; i++)
{
int tx = now.x + dis[i][0];
int ty = now.y + dis[i][1];
if (tx >= 1 && tx <= 5 && ty >= 1 && ty <= 3 && g[tx][ty] == 1 && book[tx][ty] == false)
{
book[tx][ty] = true;
q.push(Node(tx, ty));
}
}
}
}
return cnt == all;
}
void draw(int val)
{
if (val == 1)
g[1][2] = 1;
if (val == 2)
g[2][3] = 1;
if (val == 3)
g[4][3] = 1;
if (val == 4)
g[5][2] = 1;
if (val == 5)
g[4][1] = 1;
if (val == 6)
g[2][1] = 1;
if (val == 7)
g[3][2] = 1;
return;
}
void DFS(int now, int sum)
{
if (sum == C)
{
memset(g, 0, sizeof g);
for (int i = 0; i < sum; i++)
draw(a[i]);
if (BFS(sum))
ans++;
return;
}
for (int i = now; i <= 7; i++)
{
if (vis[i] == false)
{
vis[i] = true;
a[sum] = i;
DFS(i + 1, sum + 1);
vis[i] = false;
}
}
return;
}
int main()
{
for (int i = 1; i <= 7; i++)
{
C = i;
DFS(1, 0);
}
cout << ans;
return 0;
}
80
F
// #pragma GCC optimize(2)
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <queue>
#include <cmath>
#include <string>
#include <vector>
#include <stack>
#include <map>
#include <sstream>
#include <cstring>
#include <set>
#include <cctype>
#include <bitset>
#define IO \
ios::sync_with_stdio(false); \
// cout.tie(0);
using namespace std;
// int dis[8][2] = {0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1};
typedef unsigned long long ULL;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 2e8 + 10;
const int maxm = 2e5 + 10;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int inf = 0x3f3f3f3f;
const LL mod = 1e9 + 7;
const double eps = 1e-8;
const double pi = acos(-1);
int dis[6][2] = {1, -1, -1, 1, -1, -1, 1, 1, 2, 0, -2, 0};
int m[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
int main()
{
#ifdef WXY
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
IO;
int n, x;
int cnt1, cnt2 = 0;
char c = '%';
cin >> n;
for (int i = 0; i < n; i++)
{
cin >> x;
if (x >= 60)
cnt1++;
if (x >= 85)
cnt2++;
}
printf("%.0lf", round(100.0 * double(cnt1) / double(n)));
printf("%c\n", c);
printf("%.0lf", round(100.0 * double(cnt2) / double(n)));
printf("%c", c);
return 0;
}
G
当时抽疯写了个200+的弱智暴力（还不一定能对），其实只要枚举年份构造出回文串，然后把符合条件的日期存起来，二分答案即可。
H
太菜了只会暴力做，O（n^3)
是牛客多校上一道原题。
统计每个字符，对每个字符记录它上一次出现的位置vis，当前字符所能贡献的区间个数为（i-pre）*（n-i+1），i为当前字符下标。
// #pragma GCC optimize(2)
#include <algorithm>
#include <iostream>
#include <sstream>
#include <cstring>
#include <cstdio>
#include <random>
#include <cctype>
#include <bitset>
#include <string>
#include <vector>
#include <queue>
#include <cmath>
#include <stack>
#include <set>
#include <map>
#define IO \
ios::sync_with_stdio(false); \
// cout.tie(0);
using namespace std;
// int dis[8][2] = {0, 1, 1, 0, 0, -1, -1, 0, 1, -1, 1, 1, -1, 1, -1, -1};
typedef unsigned long long ULL;
typedef long long LL;
typedef pair<int, int> P;
const int maxn = 1e5 + 10;
const int maxm = 1e6 + 10;
const LL INF = 0x3f3f3f3f3f3f3f3f;
const int inf = 0x3f3f3f3f;
const LL mod = 1e9 + 7;
const double eps = 1e-8;
const double pi = acos(-1);
int dis[4][2] = {1, 0, 0, -1, 0, 1, -1, 0};
// int m[13] = {0, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31};
LL vis[maxn];
char s[maxn];
int main()
{
#ifdef WXY
freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
#endif
scanf("%s", s + 1);
int n = strlen(s + 1);
LL ans = 0;
for (int i = 1; i <= n; i++)
{
int t = s[i] - 'a' + 1;
ans = ans + LL(i - vis[t]) * LL(n - i + 1);
vis[t] = i;
}
cout << ans;
return 0;
}
I
输出样例
当时如果仔细想想，应该能把n<=4的情况暴力模拟出来。。
J
输出样例
不出意外，省一应该没了，还是太菜了。。。。
2020.10.27更新
居然省一了，本来以为填空全对才能摸到省一，没想到蓝桥杯这么水。。。
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