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社区首页 >专栏 >Codeforces Round #547 (Div. 3)F1. Same Sum Blocks (Easy)

Codeforces Round #547 (Div. 3)F1. Same Sum Blocks (Easy)

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glm233
发布2020-09-28 10:39:42
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发布2020-09-28 10:39:42
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F1. Same Sum Blocks (Easy)

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

This problem is given in two editions, which differ exclusively in the constraints on the number nn.

You are given an array of integers a[1],a[2],…,a[n].a[1],a[2],…,a[n]. A block is a sequence of contiguous (consecutive) elements a[l],a[l+1],…,a[r]a[l],a[l+1],…,a[r] (1≤l≤r≤n1≤l≤r≤n). Thus, a block is defined by a pair of indices (l,r)(l,r).

Find a set of blocks (l1,r1),(l2,r2),…,(lk,rk)(l1,r1),(l2,r2),…,(lk,rk) such that:

  • They do not intersect (i.e. they are disjoint). Formally, for each pair of blocks (li,ri)(li,ri) and (lj,rj(lj,rj) where i≠ji≠j either ri<ljri<lj or rj<lirj<li.
  • For each block the sum of its elements is the same. Formally, a[l1]+a[l1+1]+⋯+a[r1]=a[l2]+a[l2+1]+⋯+a[r2]=a[l1]+a[l1+1]+⋯+a[r1]=a[l2]+a[l2+1]+⋯+a[r2]= ⋯=⋯= a[lk]+a[lk+1]+⋯+a[rk].a[lk]+a[lk+1]+⋯+a[rk].
  • The number of the blocks in the set is maximum. Formally, there does not exist a set of blocks (l′1,r′1),(l′2,r′2),…,(l′k′,r′k′)(l1′,r1′),(l2′,r2′),…,(lk′′,rk′′)satisfying the above two requirements with k′>kk′>k.
代码语言:javascript
复制
// luogu-judger-enable-o2
#include<bits/stdc++.h>
#include<unordered_set>
#define rg register ll
#define inf 2147483647
#define min(a,b) (a<b?a:b)
#define max(a,b) (a>b?a:b)
#define ll long long
#define maxn 200005
const double eps = 1e-8;
using namespace std;
inline ll read()
{
	char ch = getchar(); ll s = 0, w = 1;
	while (ch < 48 || ch>57) { if (ch == '-')w = -1; ch = getchar(); }
	while (ch >= 48 && ch <= 57) { s = (s << 1) + (s << 3) + (ch ^ 48); ch = getchar(); }
	return s * w;
}
inline void write(ll x)
{
	if (x < 0)putchar('-'), x = -x;
	if (x > 9)write(x / 10);
	putchar(x % 10 + 48);
}
inline bool cmp(const pair<ll,ll>&a,const pair<ll,ll>&b)
{
    return a.second<b.second;
}
int main()
{
	ll n=read();
    vector<ll>a(n+5);
    map<ll,vector<pair<ll,ll>>>p;
    for(rg i=1;i<=n;i++)a[i]=read();
    for(rg i=1;i<=n;i++)
    {
        ll sum=0;
        for(rg j=i;j<=n;j++)
        {
            sum+=a[j];
            p[sum].push_back(make_pair(i,j));
        }
    }
    ll ans=0;
    vector<pair<ll,ll>>res;
    for(const auto& it:p)
    {
         vector<pair<ll,ll>>now=it.second;
        sort(now.begin(),now.end(),cmp);
        vector<pair<ll,ll>>temp;
        ll cur=0,r=-1;
        for(const auto &itt:now)
        {
            if(itt.first>r)
            {
                cur++;
                temp.push_back(itt);
                r=itt.second;
            }
        }
        if(cur>ans)
        {
            ans=cur;
            res=temp;
        }
    }
    cout<<ans<<endl;
    for(auto it:res)
    {
        cout<<it.first<<" "<<it.second<<endl;
    }
	return 0;
}
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原始发表:2019/08/09 ,如有侵权请联系 cloudcommunity@tencent.com 删除

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