DMOJ · gfsspc1p4

Bruno and Fibonacci

This C++ solution uses dynamic programming for DMOJ gfsspc1p4 Bruno and Fibonacci. Read the reasoning, inspect the code, or try your own test case below.

gfsspc1p4MathDynamic programmingC++29 lines
Solution036of 248
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Approach

Dynamic programming

Bruno and Fibonacci matches checking whether A appears exactly at Fibonacci-indexed positions and the exact verdict messages.

Math

Problem and code

Useful links.

Written by benbenyaojifen. Try the problem first, then compare your approach with the code.

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Implementation

P_4_Bruno_and_Fibonacci.cpp

C++

    #include <bits/stdc++.h>
    using namespace std;
    using ll = long long;
    const int inf = 1e9;
    const long long INF = 1e17; //❄️
    int main() {
        ios::sync_with_stdio(0); cin.tie(0); 
        int n; string s; cin >> n >> s;
        unordered_set<int> pos;
        auto fib = [&](unordered_set<int> &p) {
            vector<int> dp(n + 1);
            p.insert(1);
            dp[1] = dp[2] = 1;
            for (int i = 3; i <= n; i++) {
                dp[i] = dp[i - 1] + dp[i - 2];
                if (dp[i] > n) break;
                p.insert(dp[i]);
            }
        };
        fib(pos);
        for (int i = 0; i < s.size(); i++) {
            if ((!pos.count(i + 1) && s[i] == 'A') || (pos.count(i + 1) && s[i] != 'A')) {
                cout << "Bruno, GO TO SLEEP" << '\n';
                return 0;
            }
        }
        cout << "That's quite the observation!" << '\n';
        return 0;
    }
        

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