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// Problema Superhedgy, OJI XI 2022 // Solutie in O(n) - 100p #include
using namespace std; ifstream cin("superhedgy.in"); ofstream cout("superhedgy.out"); typedef long long ll; const int mxN = 1e5; struct cladire { ll L , H , E; void read(){cin >> L >> H >> E;} }A[mxN+10], B[mxN+10]; ll dp[2][2 * mxN+10]; int main() { ll n, m, totalA = 0, totalB = 0; cin >> n ; for(int i = 1;i<=n;i++) A[i].read(); cin >> m; for(int i = 1;i<=m;i++) B[i].read(); ll state = 0; dp[0][state] = min(A[1].H, B[1].H + A[1].E + B[1].E); dp[1][state] = min(B[1].H, A[1].H + A[1].E + B[1].E); ll indexA = 1, indexB = 1; totalA += A[1].L; totalB += B[1].L; bool changedA = false, changedB = false; while(indexA < n && indexB < m) { if(totalA == totalB) { indexA++; changedA = true; changedB = true; indexB++; totalA += A[indexA].L; totalB += B[indexB].L; state++; } else if(totalA < totalB) { indexA++; changedA = true; changedB = false; totalA += A[indexA].L; state++; } else if(totalA > totalB) { indexB++; changedA = false; changedB = true; totalB += B[indexB].L; state++; } ll indexA2 = indexA - changedA; ll indexB2 = indexB - changedB; dp[0][state] = dp[0][state-1] + abs(A[indexA].H - A[indexA2].H); dp[1][state] = dp[1][state-1] + abs(B[indexB].H - B[indexB2].H); dp[0][state] = min(dp[0][state], dp[1][state] + A[indexA].E + B[indexB].E); dp[1][state] = min(dp[1][state], dp[0][state] + A[indexA].E + B[indexB].E); } while(indexA < n) { indexA++; changedA = true; changedB = false; totalA += A[indexA].L; state++; ll indexA2 = indexA - changedA; ll indexB2 = indexB - changedB; dp[0][state] = dp[0][state-1] + abs(A[indexA].H - A[indexA2].H); dp[1][state] = dp[1][state-1] + abs(B[indexB].H - B[indexB2].H); dp[0][state] = min(dp[0][state], dp[1][state] + A[indexA].E + B[indexB].E); dp[1][state] = min(dp[1][state], dp[0][state] + A[indexA].E + B[indexB].E); } while(indexB < m) { indexB++; changedA = false; changedB = true; totalB += B[indexB].L; state++; ll indexA2 = indexA - changedA; ll indexB2 = indexB - changedB; dp[0][state] = dp[0][state-1] + abs(A[indexA].H - A[indexA2].H); dp[1][state] = dp[1][state-1] + abs(B[indexB].H - B[indexB2].H); dp[0][state] = min(dp[0][state], dp[1][state] + A[indexA].E + B[indexB].E); dp[1][state] = min(dp[1][state], dp[0][state] + A[indexA].E + B[indexB].E); } cout << totalA + min(dp[0][state] + A[n].H, dp[1][state] + B[m].H); return 0; }
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