# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
887928 | Kutan | Palembang Bridges (APIO15_bridge) | C++14 | 2 ms | 348 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// Cao Quang Hung
#include <cassert>
#include <cctype>
#include <cerrno>
#include <cfloat>
#include <ciso646>
#include <climits>
#include <clocale>
#include <cmath>
#include <csetjmp>
#include <csignal>
#include <cstdarg>
#include <cstddef>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <ctime>
#include <ccomplex>
#include <cfenv>
#include <cinttypes>
#include <cstdbool>
#include <cstdint>
#include <ctgmath>
#include <cwchar>
#include <cwctype>
#include <algorithm>
#include <bitset>
#include <complex>
#include <deque>
#include <exception>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iosfwd>
#include <iostream>
#include <istream>
#include <iterator>
#include <limits>
#include <list>
#include <locale>
#include <map>
#include <memory>
#include <new>
#include <numeric>
#include <ostream>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <stdexcept>
#include <streambuf>
#include <string>
#include <typeinfo>
#include <utility>
#include <valarray>
#include <vector>
#include <array>
#include <atomic>
#include <chrono>
#include <condition_variable>
#include <forward_list>
#include <future>
#include <initializer_list>
#include <mutex>
#include <random>
#include <ratio>
#include <regex>
#include <scoped_allocator>
#include <system_error>
#include <thread>
#include <tuple>
#include <typeindex>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
using namespace std;
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define pii pair<int,int>
#define pll pair<long long , long long>
#define vi vector<int>
#define vpii vector<pii>
#define SZ(x) ((int)(x.size()))
#define fi first
#define se second
#define IN(x,y) ((y).find((x))!=(y).end())
#define ALL(t) t.begin(),t.end()
#define FOREACH(i,t) for (typeof(t.begin()) i=t.begin(); i!=t.end(); i++)
#define REP(i,a,b) for(int (i)=(a);(i)<=(b);++i)
#define REPD(i,a,b) for(int (i)=(a); (i)>=(b);--i)
#define FOR(i, n) for (int (i) = 0; (i) < (n); ++(i))
#define dem(x) __builtin_popcount(x)
#define Mask(x) (1LL << (x))
#define BIT(x, i) ((x) >> (i) & 1)
#define ln '\n'
#define io_faster ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
///mt19937 rnd(time(0));
const int INF = 1e9 , mod = 1e9 + 7;
template <class T1, class T2>
inline T1 mul(T1& x, const T2 &k){ return x = (1LL * x * k) % mod; }
template <class T1 , class T2>
inline T1 pw(T1 x, T2 k){T1 res = 1; for (; k ; k >>= 1){ if (k & 1) mul(res, x); mul(x, x); } return res;}
template <class T>
inline bool minimize(T &x, const T &y){ if (x > y){x = y; return 1;} return 0; }
template <class T>
inline bool maximize(T &x, const T &y){ if (x < y){x = y; return 1;} return 0; }
template <class T>
inline void add(T &x , const T &y){ if ((x += y) >= mod) x -= mod; }
template <class T>
inline T product (const T &x , const T &y) { return 1LL * x * y % mod; }
#define PROB "a"
void file(){
if(fopen(PROB".inp", "r")){
freopen(PROB".inp","r",stdin);
freopen(PROB".out","w",stdout);
}
}
void sinh_(){
// srand(time(0));
// freopen(PROB".inp" , "w" , stdout);
// int n;
}
typedef long long ll;
typedef double db;
const int N = 2e5 + 5;
int k, n;
ll Ans = 0;
pii segment[N];
int numseg = 0, numpoint;
vector<int> compress;
void readip(){
cin >> k >> n;
REP(i, 1, n) {
char a, b; int l, r;
cin >> a >> l >> b >> r;
Ans += abs(r - l);
if (a == b) continue;
++Ans;
if (l > r) swap(l, r);
segment[++numseg] = {l, r};
compress.eb(l);
compress.eb(r);
}
sort(ALL(compress));
compress.erase(unique(ALL(compress)), compress.end());
numpoint = compress.size();
if (numpoint == 0) {
cout << Ans << ln;
exit(false);
}
sort(segment + 1, segment + numseg + 1);
REP(i, 1, numseg) {
// cout << segment[i].fi << ' ' << segment[i].second << ln;
segment[i].first = lower_bound(ALL(compress), segment[i].first) - compress.begin() + 1;
segment[i].second = lower_bound(ALL(compress), segment[i].second) - compress.begin() + 1;
}
}
namespace sub1 {
bool check() {
return k == 1;
}
vector<pair<ll, int>> pref, suf;
void solve() {
pref.assign(numpoint + 2, {0, 0});
suf.assign(numpoint + 2, {0, 0});
REP(i, 1, numseg) {
pref[segment[i].second].first += compress[segment[i].second - 1];
pref[segment[i].second].second++;
suf[segment[i].first].first += compress[segment[i].first - 1];
suf[segment[i].first].second++;
}
REP(i, 1, numpoint) {
pref[i].first += pref[i - 1].first;
pref[i].second += pref[i - 1].second;
}
REPD(i, numpoint - 1, 1) {
suf[i].first += suf[i + 1].first;
suf[i].second += suf[i + 1].second;
}
ll res = 1e18;
REP(i, 1, numpoint) {
int x = compress[i - 1];
ll tmp = 1LL * x * pref[i].second - pref[i].first
+ suf[i].first - 1LL * x * suf[i].second;
tmp *= 2;
minimize(res, tmp);
}
cout << Ans + res << ln;
}
};
namespace sub2 {
void solve() {
ll res = 1e18;
REP(i, 1, numpoint) REP(j, i + 1, numpoint) {
ll sum = 0;
REP(s, 1, numseg) {
if (segment[s].first > i && segment[s].se < j)
sum += min(compress[segment[s].first - 1] - compress[i - 1] ,
compress[j - 1] - compress[segment[s].se - 1]);
else if (segment[s].second <= i)
sum += compress[i - 1] - compress[segment[s].second - 1];
else if (segment[s].first >= j)
sum += compress[segment[s].first - 1] - compress[j - 1];
}
minimize(res, sum);
}
cout << Ans + res * 2 << ln;
}
};
namespace sub3 {
vector<int> cnt;
void ins(int x) {
REPD(i, x - 1, 1) ++cnt[i];
}
void del(int x) {
REPD(i, x - 1, 1) --cnt[i];
}
void solve() {
cnt.assign(numpoint + 2, 0);
REP(i, 1, numseg)
Ans -= compress[segment[i].se - 1] - compress[segment[i].fi - 1];
sort(segment + 1, segment + numseg + 1, [&] (const pii &x, const pii &y) {
return compress[x.fi - 1] + compress[x.se - 1] < compress[y.fi - 1] + compress[y.se - 1];
});
// REP(i, 1, numseg) cout << compress[segment[i].fi - 1] << ' ' << compress[segment[i].se - 1] << ln;
// cout << ln;
ll res = 1e18;
REP(lid, 1, numpoint - 1) {
REP(i, 1, numpoint) cnt[i] = 0;
int L = compress[lid - 1];
int R = compress[lid];
int sum = L + R;
int pt = 1, num = 0;
ll S = 0;
while(pt <= numseg && compress[segment[pt].fi - 1] + compress[segment[pt].se - 1] <= sum) {
S += abs(compress[segment[pt].fi - 1] - L);
S += abs(compress[segment[pt].se - 1] - L);
++pt;
}
REP(i, pt, numseg) {
S += abs(compress[segment[i].fi - 1] - R);
S += abs(compress[segment[i].se - 1] - R);
ins(segment[i].fi);
ins(segment[i].se);
num += 2;
}
// cout << lid << ' ' << L << ' ' << sum << ' ' << num << ln;
minimize(res, S);
REP(rid, lid + 2, numpoint) {
assert(R == compress[rid - 2]);
int tmp = cnt[rid - 1];
S -= tmp;
S += (num - tmp);
sum = L + compress[rid - 1];
while(pt <= numseg && compress[segment[pt].fi - 1] + compress[segment[pt].se - 1] <= sum) {
S -= abs(compress[segment[pt].fi - 1] - R);
S += abs(compress[segment[pt].fi - 1] - L);
S -= abs(compress[segment[pt].se - 1] - R);
S += abs(compress[segment[pt].se - 1] - L);
del(segment[pt].fi);
del(segment[pt].se);
num -= 2;
++pt;
}
minimize(res, S);
R = compress[rid - 1];
}
}
// if (res == 1e18) res = 0;
cout << Ans + res << ln;
}
};
void solve(){
// if (sub1::check()) {
// sub1::solve();
// return;
// }
// if (numpoint <= 2) {
// cout << Ans << ln;
// return;
// }
// if (n <= 100) {
// sub2::solve();
// return;
// }
if (n <= 1000) {
sub3::solve();
return;
}
}
int main(){
sinh_();
io_faster
file();
int t = 1;
// cin >> t;
while (t--){
readip();
solve();
}
}
Compilation message (stderr)
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