//LOCKER - Magic of the locker #include<bits/stdc++.h> typedef long long ll; #define M 1000000007 using namespace std; // binary exponentiation ll binPow(ll a, ll n) { if(n == 0) return 1; if(n == 1) return a%M; ll r = binPow(a, n/2); if(n % 2 == 0) { return (r%M * r%M)%M; } else return (r%M * r%M * a%M)%M; } int main () { ll t, n; cin >> t; while(t--) { ll ans, n1; cin >> n; if(n < 3) { cout << n << endl; continue; } // if remainder is 1, say for eg n = 10 // we might think of choosing the combination: 3, 3, 3, 1 // but you can notice that 1 in the above combination is not giving us any significant profit // as any number multiplied by 1 gives the same number. Rather it would be better if instead of // 3*1 we have 2*2 (notice they'll still have same sum but different products) if(n%3 == 1) { n1 = (n - 4) / 3; ans = 4*binPow(3, n1); } else if(n%3 == 2){ n1 = (n - 2) / 3; ans = 2*binPow(3, n1); } else ans = binPow(3, n/3); ans %= M; cout << ans << endl; } }
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#include <iostream>
#include <string>
using namespace std;
int main()
{
string name;
cout << "Enter name:";
getline (cin, name);
cout << "Hello " << name;
return 0;
}
C++ is a widely used middle-level programming language.
When ever you want to perform a set of operations based on a condition If-Else is used.
if(conditional-expression) {
//code
}
else {
//code
}
You can also use if-else for nested Ifs and If-Else-If ladder when multiple conditions are to be performed on a single variable.
Switch is an alternative to If-Else-If ladder.
switch(conditional-expression){
case value1:
// code
break; // optional
case value2:
// code
break; // optional
......
default:
code to be executed when all the above cases are not matched;
}
For loop is used to iterate a set of statements based on a condition.
for(Initialization; Condition; Increment/decrement){
//code
}
While is also used to iterate a set of statements based on a condition. Usually while is preferred when number of iterations are not known in advance.
while (condition) {
// code
}
Do-while is also used to iterate a set of statements based on a condition. It is mostly used when you need to execute the statements atleast once.
do {
// code
} while (condition);
Function is a sub-routine which contains set of statements. Usually functions are written when multiple calls are required to same set of statements which increases re-usuability and modularity. Function gets run only when it is called.
return_type function_name(parameters);
function_name (parameters)
return_type function_name(parameters) {
// code
}