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Submission #144068

# Submission time Handle Problem Language Result Execution time Memory
144068 2019-08-15T22:58:37 Z liwi Building Bridges (CEOI17_building) C++11
100 / 100
 188 ms 96760 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;
typedef tree<int, null_type, less<int>, rb_tree_tag,tree_order_statistics_node_update> ordered_set;

#define scan(x) do{while((x=getchar())<'0'); for(x-='0'; '0'<=(_=getchar()); x=(x<<3)+(x<<1)+_-'0');}while(0)
char _;
#define complete_unique(a) a.erase(unique(a.begin(),a.end()),a.end())
#define all(a) a.begin(),a.end()
#define println printf("\n");
#define readln(x) getline(cin,x);
#define pb push_back
#define endl "\n"
#define INT_INF 0x3f3f3f3f
#define LL_INF 0x3f3f3f3f3f3f3f3f
#define MOD 1000000007
#define MOD2 1190492669
#define SEED 131
#define mp make_pair
#define fastio cin.tie(0); cin.sync_with_stdio(0);

#define MAXN 100005
#define MAXV 1000005

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
typedef unordered_map<int,int> umii;
typedef pair<int,int> pii;
typedef pair<double,double> pdd;
typedef pair<ll,ll> pll;
typedef pair<int,pii> triple;
typedef int8_t byte;

mt19937 g1(time(0));

int randint(int a, int b){return uniform_int_distribution<int>(a, b)(g1);}
ll randlong(ll a,ll b){return uniform_int_distribution<long long>(a, b)(g1);}

ll gcd(ll a, ll b){return b == 0 ? a : gcd(b, a % b);}
ll lcm(ll a, ll b){return a*b/gcd(a,b);}
ll fpow(ll  b, ll exp, ll mod){if(exp == 0) return 1;ll t = fpow(b,exp/2,mod);if(exp&1) return t*t%mod*b%mod;return t*t%mod;}
ll divmod(ll i, ll j, ll mod){i%=mod,j%=mod;return i*fpow(j,mod-2,mod)%mod;}

struct node{
	int l,r;
	pll bst;
};

struct MinLiChaoTree{
	node seg[4*MAXV];
	inline ll calc(int rt, int m){return seg[rt].bst.first*m+seg[rt].bst.second;}
	inline ll calc(pll bst, int m){return bst.first*m+bst.second;}
	inline ld inter(pll f, pll s){return 1.0*(s.second-f.second)/(f.first-s.first);}
	void build(int l, int r, int rt){
		seg[rt].l = l, seg[rt].r = r, seg[rt].bst = mp(0,LL_INF);
		if(l == r) return;
		int mid = (l+r)/2;
		build(l,mid,rt<<1);
		build(mid+1,r,rt<<1|1);
	}
	void add_line(int rt, pll line){
		if(seg[rt].l == seg[rt].r){
			if(calc(line,seg[rt].l) <= calc(rt,seg[rt].l)) seg[rt].bst = line;
			return;
		}
		int mid = (seg[rt].l+seg[rt].r)/2;
		ld x = inter(line,seg[rt].bst);
		if(x <= mid){
			if(calc(line,mid) <= calc(rt,mid)) swap(line,seg[rt].bst);
			add_line(rt<<1,line);
		}else{
			if(calc(line,mid) <= calc(rt,mid)) swap(line,seg[rt].bst);
			add_line(rt<<1|1,line);
		}
	}
	ll get(int rt, int pos){
		if(seg[rt].l == seg[rt].r) return calc(rt,pos);
		int mid = (seg[rt].l+seg[rt].r)/2;
		if(pos <= mid) return min(calc(rt,pos),get(rt<<1,pos));
		return min(calc(rt,pos),get(rt<<1|1,pos));
	}
};

int len;
ll dp[MAXN],H[MAXN],W[MAXN];
MinLiChaoTree t;

int main(){
	scanf("%d",&len);
	for(int i=1; i<=len; i++)
		scanf(" %lld",&H[i]);
	for(int i=1; i<=len; i++){
		scanf(" %lld",&W[i]);
		W[i]+=W[i-1];
	}
	t.build(1,1000000,1);
	t.add_line(1,mp(-2LL*H[1],H[1]*H[1]-W[1]));
	for(int i=2; i<=len; i++){
		dp[i] = t.get(1,(int)H[i])+H[i]*H[i]+W[i-1];
		t.add_line(1,mp(-2LL*H[i],dp[i]+H[i]*H[i]-W[i]));
	}
	printf("%lld\n",dp[len]);
}

Compilation message

building.cpp: In function 'int main()':
building.cpp:93:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  scanf("%d",&len);
  ~~~~~^~~~~~~~~~~
building.cpp:95:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf(" %lld",&H[i]);
   ~~~~~^~~~~~~~~~~~~~~
building.cpp:97:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   scanf(" %lld",&W[i]);
   ~~~~~^~~~~~~~~~~~~~~

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 88 ms 94200 KB Output is correct
2 Correct 88 ms 94200 KB Output is correct
3 Correct 100 ms 94260 KB Output is correct
4 Correct 88 ms 94328 KB Output is correct
5 Correct 95 ms 94328 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 157 ms 96636 KB Output is correct
2 Correct 159 ms 96632 KB Output is correct
3 Correct 158 ms 96632 KB Output is correct
4 Correct 152 ms 96632 KB Output is correct
5 Correct 144 ms 96632 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 88 ms 94200 KB Output is correct
2 Correct 88 ms 94200 KB Output is correct
3 Correct 100 ms 94260 KB Output is correct
4 Correct 88 ms 94328 KB Output is correct
5 Correct 95 ms 94328 KB Output is correct
6 Correct 157 ms 96636 KB Output is correct
7 Correct 159 ms 96632 KB Output is correct
8 Correct 158 ms 96632 KB Output is correct
9 Correct 152 ms 96632 KB Output is correct
10 Correct 144 ms 96632 KB Output is correct
11 Correct 188 ms 96580 KB Output is correct
12 Correct 178 ms 96560 KB Output is correct
13 Correct 162 ms 96528 KB Output is correct
14 Correct 177 ms 96632 KB Output is correct
15 Correct 142 ms 96620 KB Output is correct
16 Correct 143 ms 96760 KB Output is correct
17 Correct 146 ms 96636 KB Output is correct
18 Correct 147 ms 96632 KB Output is correct