Submission #81157

#TimeUsernameProblemLanguageResultExecution timeMemory
81157polyfishWiring (IOI17_wiring)C++14
100 / 100
207 ms100496 KiB
#include <bits/stdc++.h> using namespace std; #define debug(x) cerr << #x << " = " << x << '\n'; #define BP() cerr << "OK!\n"; #define PR(A, n) cerr << #A << " = "; for (int64_t _=1; _<=n; ++_) cerr << A[_] << ' '; cerr << '\n'; #define PR0(A, n) cerr << #A << " = "; for (int64_t _=0; _<n; ++_) cerr << A[_] << ' '; cerr << '\n'; const int64_t maxn = 200002; const int64_t inf = 1e18; struct rmq { int64_t n; int64_t container[maxn*4]; void init(int64_t _n) { n = _n; for (int64_t i=0; i<=4*n; ++i) container[i] = inf; } void update(int64_t pos, int64_t val, int64_t l, int64_t r, int64_t id) { if (pos<l || pos>r) return; if (l==pos && pos==r) { container[id] = val; return; } int64_t mid = (l+r)/2; update(pos, val, l, mid, id*2); update(pos, val, mid+1, r, id*2+1); container[id] = min(container[id*2], container[id*2+1]); } int64_t get(int64_t u, int64_t v, int64_t l, int64_t r, int64_t id) { if (v<l || u>r) return inf; if (u<=l && r<=v) return container[id]; int64_t mid = (l+r)/2; return min(get(u, v, l, mid, id*2), get(u, v, mid+1, r, id*2+1)); } void update(int64_t pos, int64_t val) { update(pos, val, 1, n, 1); } int64_t get(int64_t u, int64_t v) { if (u>v) return inf; return get(u, v, 1, n, 1); } } T1, T2; int64_t m, n, L[maxn], R[maxn], pos[maxn]; pair<int64_t, int64_t> a[maxn]; int64_t f[maxn], ps[2][maxn]; void enter(vector<int> r, vector<int> b) { m = r.size(); n = b.size(); for (int64_t i=1; i<=m; ++i) { a[i] = make_pair(r[i-1], 0); } for (int64_t i=1; i<=n; ++i) { a[m+i] = make_pair(b[i-1], 1); } } void init() { n = m+n; sort(a+1, a+n+1); int64_t cnt = 0; for (int64_t i=1; i<=n+1; ++i) { if (i==1 || i==n+1 || a[i].second!=a[i-1].second) { ++cnt; L[cnt] = i; R[cnt-1] = i-1; } pos[i] = cnt; } for (int64_t i=1; i<=n; ++i) { for (int64_t j=0; j<2; ++j) ps[j][i] = ps[j][i-1] + (a[i].second==j ? a[i].first : 0); } T1.init(n); T2.init(n); } int64_t min_total_length(vector<int> red, vector<int> blue) { // freopen("wiring.inp", "r", stdin); // freopen("wiring.out", "w", stdout); // ios::sync_with_stdio(0); cin.tie(0); enter(red, blue); init(); int64_t extra1 = 1LL*(-1+R[pos[1]])*a[L[pos[1]+1]].first; int64_t extra2 = -1LL*(1-R[pos[1]])*a[R[pos[1]]].first; T1.update(1, extra1); T2.update(1, extra2); for (int64_t i=1; i<=n; ++i) { f[i] = inf; if (pos[i]==1) { continue; } int64_t l = L[pos[i]-1], r = R[pos[i]-1]; int64_t w = a[i].second, b = w^1; f[i] = T1.get(l, r-i+L[pos[i]]) + (-i + L[pos[i]])*a[L[pos[i]]].first + ps[w][i] - ps[b][i]; f[i] = min(f[i], T2.get(max(l, r-i+L[pos[i]]), r) - (i-L[pos[i]])*a[R[pos[i]-1]].first + ps[w][i] - ps[b][i]); int64_t extra1 = 1LL*(-i+R[pos[i]])*a[L[pos[i]+1]].first; int64_t extra2 = -1LL*(i-R[pos[i]])*a[R[pos[i]]].first; T1.update(i, min(f[i], f[i-1])+ps[w][i-1]-ps[b][i-1] + extra1); T2.update(i, min(f[i], f[i-1])+ps[w][i-1]-ps[b][i-1] + extra2); } return f[n]; }
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