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Submission #585794

# Submission time Handle Problem Language Result Execution time Memory
585794 2022-06-29T10:56:21 Z messiuuuuu Palembang Bridges (APIO15_bridge) C++14
100 / 100
 180 ms 9448 KB 
#include<bits/stdc++.h>
#define task "C"
#define ll long long
#define ld long double
#define fi first
#define se second
#define pb push_back
using namespace std;
const int MAXN = 1e5 + 5;
const ll INF = 1e18 + 5;

int n, k;
struct TRoad
{
    char h, o;
    ll ph, po;
}a[MAXN];

ll more = 0;

ll Cal(int p)
{
    ll res = 0;
    for (int i = 1; i <= n; i++)
    {
        if (a[i].h == a[i].o)
        {
            res += abs(a[i].ph - a[i].po);
        } else
        {
            res += abs(a[i].ph - p) + abs(a[i].po - p) + 1;
        }
    }
    return res;
}

void Input()
{
    cin >> k >> n;
    for (int i = 1; i <= n; i++)
    {
        cin >> a[i].h >> a[i].ph >> a[i].o >> a[i].po;
    }
    if (k == 1)
    {
        int l = 0, r = 1e9;
        while (l <= r)
        {
            int mid = (l + r) / 2;
            if (mid == 1e9)
                break;
            if (Cal(mid) >= Cal(mid + 1))
                l = mid + 1;
            else
                r = mid - 1;
        }
        cout << Cal(l);
        exit(0);
    }
    vector<int> cs;
    for (int i = 1; i <= n; i++)
    {
        if (a[i].h == a[i].o)
        {
            more += abs(a[i].ph - a[i].po);
        } else
        {
            cs.pb(i);
        }
    }

    for (int i = 0; i < cs.size(); i++)
    {
        a[i + 1] = a[cs[i]];
    }
    n = cs.size();
}

int truoc[MAXN];
vector<ll> num;
int dif;

void NenSo()
{
    for (int i = 1; i <= n; i++)
    {
        num.pb(a[i].ph);
        num.pb(a[i].po);
    }
    sort(num.begin(), num.end());
    num.erase(unique(num.begin(), num.end()), num.end());
    for (int i = 1; i <= n; i++)
    {
        a[i].ph = lower_bound(num.begin(), num.end(), a[i].ph) - num.begin() + 1;
        a[i].po = lower_bound(num.begin(), num.end(), a[i].po) - num.begin() + 1;
    }
    dif = num.size();
}

struct BIT
{
    vector<ll> fe;
    int sz;

    void Init(int _sz)
    {
        sz = _sz;
        fe.clear();
        fe.resize(sz + 1);
    }

    void add(int p, ll val)
    {
        for (; p <= sz; p += p & -p)
        {
            fe[p] += val;
        }
    }

    ll get(int r)
    {
        ll res = 0;
        for (; r; r -= r & -r)
        {
            res += fe[r];
        }
        return res;
    }

    ll get(int l, int r)
    {
        return get(r) - get(l - 1);
    }
};

ll prefsum[MAXN];

void Solve()
{
    vector<int> cs(n);
    iota(cs.begin(), cs.end(), 1);
    sort(cs.begin(), cs.end(), [](int i, int j)
         {
             return a[i].po + a[i].ph < a[j].po + a[j].ph;
         });
    NenSo();

    ll res = (n == 1 ? abs(num[a[1].po - 1] - num[a[1].ph - 1]) + 1 : INF);
    if (n == 0)
        res = 0;
    BIT bit[2];
    bit[0].Init(dif);
    bit[1].Init(dif);
    for (int i = 0; i + 1 < cs.size(); i++)
    {
        int p = cs[i];
        //cout << num[a[p].ph - 1] << ' ' << num[a[p].po - 1] << '\n';
        bit[0].add(a[p].po, 1);
        bit[0].add(a[p].ph, 1);
        bit[1].add(a[p].po, num[a[p].po - 1]);
        bit[1].add(a[p].ph, num[a[p].ph - 1]);
        int l = 1, r = dif;
        while (l <= r)
        {
            int mid = (l + r) / 2;
            if (bit[0].get(1, mid) >= i + 1)
                r = mid - 1;
            else
                l = mid + 1;
        }
        prefsum[i] = -bit[1].get(1, l) + num[l - 1] * bit[0].get(1, l)
                      + bit[1].get(l, dif) - num[l - 1] * bit[0].get(l, dif) + i + 1;
        //cout << prefsum[i] << '\n';
    }

    bit[0].Init(dif);
    bit[1].Init(dif);
    for (int i = (int)cs.size() - 1; i >= 1; i--)
    {
        int p = cs[i];
        bit[0].add(a[p].po, 1);
        bit[0].add(a[p].ph, 1);
        bit[1].add(a[p].po, num[a[p].po - 1]);
        bit[1].add(a[p].ph, num[a[p].ph - 1]);
        int l = 1, r = dif;
        while (l <= r)
        {
            int mid = (l + r) / 2;
            if (bit[0].get(1, mid) >= (int)cs.size() - i)
                r = mid - 1;
            else
                l = mid + 1;
        }
        res = min(res, prefsum[i - 1] + -bit[1].get(1, l) + num[l - 1] * bit[0].get(1, l)
                                        + bit[1].get(l, dif) - num[l - 1] * bit[0].get(l, dif) + (int)cs.size() - i);
    }
    //cout << more << '\n';
    cout << res + more;
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    if (fopen(task".INP","r"))
    {
        freopen(task".INP","r",stdin);
        freopen(task".OUT","w",stdout);
    }
    Input();
    Solve();
}

Compilation message

bridge.cpp: In function 'void Input()':
bridge.cpp:72:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   72 |     for (int i = 0; i < cs.size(); i++)
      |                     ~~^~~~~~~~~~~
bridge.cpp: In function 'void Solve()':
bridge.cpp:154:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  154 |     for (int i = 0; i + 1 < cs.size(); i++)
      |                     ~~~~~~^~~~~~~~~~~
bridge.cpp: In function 'int main()':
bridge.cpp:207:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  207 |         freopen(task".INP","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
bridge.cpp:208:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  208 |         freopen(task".OUT","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 368 KB Output is correct
11 Correct 1 ms 340 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 356 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 468 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 23 ms 3332 KB Output is correct
13 Correct 35 ms 4300 KB Output is correct
14 Correct 25 ms 3348 KB Output is correct
15 Correct 19 ms 2632 KB Output is correct
16 Correct 31 ms 3660 KB Output is correct
17 Correct 35 ms 3736 KB Output is correct
18 Correct 33 ms 3384 KB Output is correct
19 Correct 34 ms 3916 KB Output is correct
20 Correct 34 ms 3384 KB Output is correct
21 Correct 36 ms 3584 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 0 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct

Subtask #4
32.0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 336 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 424 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 340 KB Output is correct

Subtask #5
37.0 / 37.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 352 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 2 ms 340 KB Output is correct
15 Correct 2 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 2 ms 468 KB Output is correct
21 Correct 2 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 2 ms 348 KB Output is correct
25 Correct 31 ms 6280 KB Output is correct
26 Correct 63 ms 5904 KB Output is correct
27 Correct 158 ms 8940 KB Output is correct
28 Correct 163 ms 9436 KB Output is correct
29 Correct 180 ms 9448 KB Output is correct
30 Correct 103 ms 5184 KB Output is correct
31 Correct 43 ms 5992 KB Output is correct
32 Correct 105 ms 9320 KB Output is correct
33 Correct 109 ms 9432 KB Output is correct
34 Correct 163 ms 9248 KB Output is correct
35 Correct 40 ms 6264 KB Output is correct
36 Correct 147 ms 9324 KB Output is correct
37 Correct 27 ms 5936 KB Output is correct