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Submission #154283

# Submission time Handle Problem Language Result Execution time Memory
154283 2019-09-20T09:27:40 Z arnold518 Building Bridges (CEOI17_building) C++14
100 / 100
 88 ms 10616 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e5;
const int MAXH = 1e6;
const ll INF = 1e15;

int N;
ll H[MAXN+10], W[MAXN+10];
ll dp[MAXN+10];

struct Node
{
    ll a, b;
    Node *lc, *rc;
    Node() : a(0), b(INF), lc(NULL), rc(NULL) {}
};

void update(Node *node, int tl, int tr, ll a, ll b)
{
    int mid=tl+tr>>1;
    ll fl=node->a*tl+node->b, fr=node->a*tr+node->b;
    ll nfl=a*tl+b, nfr=a*tr+b;

    if(fl>=nfl && fr>=nfr) { node->a=a; node->b=b; return; }
    if(fl<=nfl && fr<=nfr) return;
    if(node->lc==NULL) node->lc=new Node();
    if(node->rc==NULL) node->rc=new Node();
    update(node->lc, tl, mid, a, b);
    update(node->rc, mid+1, tr, a, b);
}

ll query(Node *node, int tl, int tr, int pos)
{
    if(node==NULL) return INF;
    int mid=tl+tr>>1;
    ll now=node->a*pos+node->b;
    if(pos<=mid) return min(now, query(node->lc, tl, mid, pos));
    else return min(now, query(node->rc, mid+1, tr, pos));
}

Node *root=new Node();

int main()
{
    int i, j;

    scanf("%d", &N);
    for(i=1; i<=N; i++) scanf("%lld", &H[i]);
    for(i=1; i<=N; i++) scanf("%lld", &W[i]), W[i]+=W[i-1];

    dp[1]=0;
    update(root, 0, MAXH, -2*H[1], dp[1]+H[1]*H[1]-W[1]);
    for(i=2; i<=N; i++)
    {
        dp[i]=query(root, 0, MAXH, H[i])+W[i-1]+H[i]*H[i];
        update(root, 0, MAXH, -2*H[i], dp[i]+H[i]*H[i]-W[i]);
    }
    printf("%lld", dp[N]);
}

Compilation message

building.cpp: In function 'void update(Node*, int, int, ll, ll)':
building.cpp:25:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
     int mid=tl+tr>>1;
             ~~^~~
building.cpp: In function 'll query(Node*, int, int, int)':
building.cpp:40:15: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
     int mid=tl+tr>>1;
             ~~^~~
building.cpp: In function 'int main()':
building.cpp:50:12: warning: unused variable 'j' [-Wunused-variable]
     int i, j;
            ^
building.cpp:52:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d", &N);
     ~~~~~^~~~~~~~~~
building.cpp:53:30: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for(i=1; i<=N; i++) scanf("%lld", &H[i]);
                         ~~~~~^~~~~~~~~~~~~~~
building.cpp:54:45: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for(i=1; i<=N; i++) scanf("%lld", &W[i]), W[i]+=W[i-1];
                         ~~~~~~~~~~~~~~~~~~~~^~~~~~~~~~~~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 380 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 88 ms 4244 KB Output is correct
2 Correct 87 ms 4172 KB Output is correct
3 Correct 88 ms 4328 KB Output is correct
4 Correct 84 ms 3772 KB Output is correct
5 Correct 71 ms 7444 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 380 KB Output is correct
4 Correct 3 ms 376 KB Output is correct
5 Correct 3 ms 376 KB Output is correct
6 Correct 88 ms 4244 KB Output is correct
7 Correct 87 ms 4172 KB Output is correct
8 Correct 88 ms 4328 KB Output is correct
9 Correct 84 ms 3772 KB Output is correct
10 Correct 71 ms 7444 KB Output is correct
11 Correct 78 ms 4236 KB Output is correct
12 Correct 86 ms 4472 KB Output is correct
13 Correct 56 ms 3832 KB Output is correct
14 Correct 86 ms 4472 KB Output is correct
15 Correct 80 ms 10616 KB Output is correct
16 Correct 74 ms 7416 KB Output is correct
17 Correct 28 ms 3832 KB Output is correct
18 Correct 27 ms 3776 KB Output is correct