PTA2021 跨年挑战赛部分题解

2022-11-29,

7-1 压岁钱

不用说

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; int main() {
int a, b, c, d;
cin >> a >> b >> c >> d;
int sum = a + b + c + d;
cout << sum;
return 0;
}

7-2 射击成绩

微米转毫米按环判断。

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; int main() {
double n;
cin >> n;
if(n <= 11500 / 2)
cout<<10;
else if(n <= 27500 / 2)
cout<<9;
else if(n <= 43500 / 2)
cout<<8;
else if(n <= 59500 / 2)
cout<<7;
else if(n <= 75500 / 2)
cout<<6;
else if(n <= 91500 / 2)
cout<<5;
else if(n <= 107500 / 2)
cout<<4;
else if(n <= 123500 / 2)
cout<<3;
else if(n <= 139500 / 2)
cout<<2;
else if(n <= 155500 / 2)
cout<<1;
else cout<<0;
return 0;
}

7-3 Cassels方程

不用说

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; int main() {
int n;
cin >> n;
while (n--) {
int x, y, z;
cin >> x >> y >> z;
if (x * x + y * y + z * z != 3 * x * y * z)
cout << "No" << endl;
else cout << "Yes" << endl;
}
return 0;
}

7-4 相生相克

根据题意相生相克的数字和判断,也可以直接从金到土的数字看另一个数字是啥判断相生还是相克,因为相生相克都是一对一的。

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; void judeg(int a, int b) {
int sum = a + b;
if (sum == 3)
cout << "1 ke 2\n";
else if (sum == 7) {
if (a == 2 || a == 5)
cout << "2 ke 5\n";
else cout << "3 ke 4\n";
} else if (sum == 8)
cout << "5 ke 3\n";
else if (sum == 5) {
if (a == 4 || a == 1)
cout << "4 ke 1\n";
else cout << "3 sheng 2\n";
} else if (sum == 6) {
if (a == 2 || a == 4) {
cout << "2 sheng 4\n";
} else cout << "5 sheng 1\n";
} else if (sum == 9)
cout << "4 sheng 5\n";
else if (a == 1 || a == 3)
cout << "1 sheng 3\n";
} int main() {
int n;
cin >> n;
while (n--) {
int x, y;
cin >> x >> y;
judeg(x, y);
}
return 0;
}

7-5 7-6太菜了没过

7-5 整除阶乘

对于每个数,直接把n * n + 1对n!的各乘因子求余,最后判断n * n + 1是否变成1来输出结果,用f做是否有结果标记,如果没有就输出None。来自:csdn

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; int main() {
int n, m, f = 0;
cin >> n >> m;
for (int i = n; i <= m; i++) {
int sum = i * i + 1;
for (int j = 2; j <= i; j++) {
if (sum >= j && sum % j == 0)
sum /= j;
else if (sum < j && j % sum == 0)
sum = 1;
}
if (sum == 1) {
cout << i << endl;
f = 1;
}
}
if (!f)cout << "None";
return 0;
}

7-7 打PTA

先判断最后一个字符是否是?,不是直接输出enen,是就从下标2开始判断此下标是否是字符A和前面两个字符是否是T和P,是的话就把flag f设为真,f默认为假,再根据f的真假输出结果。

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; int main() {
int n;
cin >> n;
for (int j = 0; j < n; j++) {
string s;
if (j == 0)
getchar();
getline(cin, s);
int t = s.length();
int f = 0;
if (s[t - 1] != '?') {
cout << "enen\n";
} else {
for (int i = 2; i < t; i++) {
if (s[i] == 'A' && s[i - 1] == 'T' && s[i - 2] == 'P') {
f = 1;
break;
}
}
if (f)
cout << "Yes!\n";
else cout << "No.\n";
}
}
return 0;
}

7-8 完美对称

从头到尾开始判断区间是否对称,不对称头就顺移到下一位直到找到对称区间,当头等于第一位时就直接完整输出,不是时倒序输出头前面区间。

#include<bits/stdc++.h>

using namespace std;
typedef long long ll;
const int maxn = 1e9;
const int maxm = 1e5 + 5;
const ll inf = 2147483647;
using namespace std; int main() {
int n;
cin >> n;
vector<int> v(n + 1);
for (int i = 1; i <= n; i++) {
cin >> v[i];
}
for (int i = 1; i <= n; i++) {
int k = n, j = i, f = 1;
while (k >= j) {//这里判断是否对称
if (v[k] != v[j]) {
f = 0;
break;
}
k--;
j++;
}
if (f && i != 1) {
cout << v[i - 1];
for (int p = i - 2; p >= 1; p--) {
cout << ' ' << v[p];
}
break;
} else if (f) {
cout << v[1];
for (int p = 2; p <= n; p++) {
cout << ' ' << v[p];
}
break;
}
}
return 0;
}

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