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Codeforces Round #608 (Div. 2) 题解

时间:2019-12-18 22:03:19      阅读:99      评论:0      收藏:0      [点我收藏+]

标签:type   iostream   class   距离   通过   VID   war   pair   const   

Suits

\[ Time Limit: 1 s\quad Memory Limit: 256 MB \]
直接计算即可。


view

#include <map>
#include <set>
#include <list>
#include <ctime>
#include <cmath>
#include <stack>
#include <queue>
#include <cfloat>
#include <string>
#include <vector>
#include <cstdio>
#include <bitset>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#define  lowbit(x)  x & (-x)
#define  mes(a, b)  memset(a, b, sizeof a)
#define  fi         first
#define  se         second
#define  pb         push_back
#define  pii        pair<int, int>

typedef unsigned long long int ull;
typedef long long int ll;
const int    maxn = 1e5 + 10;
const int    maxm = 1e5 + 10;
const ll     mod  = 1e9 + 7;
const ll     INF  = 1e18 + 100;
const int    inf  = 0x3f3f3f3f;
const double pi   = acos(-1.0);
const double eps  = 1e-8;
using namespace std;

int n, m;
int cas, tol, T;
int a,b,c,d,e,f;

int main(){
    scanf("%d%d%d%d%d%d", &a, &b, &c, &d, &e, &f);
    int ans1 = min(a, d), ans2 = min({b, c, d});
    int ans = e>f ? ans1*e + min({ans2, d-ans1})*f :  ans2*f + min({ans1, d-ans2})*e;
    printf("%d\n", ans);
}

Blocks

\[ Time Limit: 2 s\quad Memory Limit: 256 MB \]
最后肯定全是 \(W\) 或者全是 \(B\) 的,那么直接暴力扫两遍就可以了。


view

#include <map>
#include <set>
#include <list>
#include <ctime>
#include <cmath>
#include <stack>
#include <queue>
#include <cfloat>
#include <string>
#include <vector>
#include <cstdio>
#include <bitset>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#define  lowbit(x)  x & (-x)
#define  mes(a, b)  memset(a, b, sizeof a)
#define  fi         first
#define  se         second
#define  pb         push_back
#define  pii        pair<int, int>

typedef unsigned long long int ull;
typedef long long int ll;
const int    maxn = 1e5 + 10;
const int    maxm = 1e5 + 10;
const ll     mod  = 1e9 + 7;
const ll     INF  = 1e18 + 100;
const int    inf  = 0x3f3f3f3f;
const double pi   = acos(-1.0);
const double eps  = 1e-8;
using namespace std;

int n, m;
int cas, tol, T;

char s[maxn];
char ss[maxn];
vector<int> ans;

bool solve() {
    ans.clear();
    for(int i=1; i<=n; i++) ss[i] = s[i];
    for(int i=1; i<n; i++) {
        if(ss[i] == 'B')    continue;
        ss[i] = 'B';
        ss[i+1] = s[i+1]=='B' ? 'W':'B';
        ans.pb(i);
    }
    if(ans.size() <= 3*n && ss[n] == 'B')   return true;
    return false;
}

int main() {
    // freopen("in", "r", stdin);
    scanf("%d", &n);
    scanf("%s", s+1);
    if(!solve()) {
        for(int i=1; i<=n; i++) {
            s[i] = s[i]=='B' ? 'W':'B';
        }
        if(!solve()) {
            return 0*puts("-1");
        }
    }
    int sz = ans.size();
    printf("%d\n", sz);
    for(int i=0; i<sz; i++) printf("%d%c", ans[i], i==sz-1 ? '\n':' ');
    return 0;
}

Shawarma Tent

\[ Time Limit: 1 s\quad Memory Limit: 256 MB \]
假设学校处于 \((sx, sy)\) 位置,可以看成 \((sx, sy)\) 为原点,其他学生到这里的最近距离,那么容易发现,最好的一定可以选成 \((sx-1, sy)、(sx+1, sy)、(sx, sy-1)、(sx, sy+1)\) 这四个之一,所以只要暴力处理这四个点在不在每个学生的最短路上即可。


view

#include <map>
#include <set>
#include <list>
#include <ctime>
#include <cmath>
#include <stack>
#include <queue>
#include <cfloat>
#include <string>
#include <vector>
#include <cstdio>
#include <bitset>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#define  lowbit(x)  x & (-x)
#define  mes(a, b)  memset(a, b, sizeof a)
#define  fi         first
#define  se         second
#define  pb         push_back
#define  pii        pair<int, int>

typedef unsigned long long int ull;
typedef long long int ll;
const int    maxn = 2e5 + 10;
const int    maxm = 1e5 + 10;
const ll     mod  = 1e9 + 7;
const ll     INF  = 1e18 + 100;
const int    inf  = 0x3f3f3f3f;
const double pi   = acos(-1.0);
const double eps  = 1e-8;
using namespace std;

int n, m;
int cas, tol, T;

ll sx, sy;
ll x, y;
struct Node {
    ll x, y, st;
    bool operator < (Node a) const{
        return st>a.st;
    }
} p[5];

bool ok(Node t) {
    ll ans = abs(sx-x) + abs(sy-y);
    ll ans1 = abs(sx-t.x) + abs(sy-t.y);
    ll ans2 = abs(x-t.x) + abs(y-t.y);
    return ans == ans1+ans2;
}

int main() {
    // freopen("in", "r", stdin);
    scanf("%lld%lld%lld", &n, &sx, &sy);
    p[1] = {sx-1, sy, 0};
    p[2] = {sx+1, sy, 0};
    p[3] = {sx, sy-1, 0};
    p[4] = {sx, sy+1, 0};
    for(int i=1; i<=n; i++) {
        scanf("%lld%lld", &x, &y);
        for(int j=1; j<=4; j++) {
            if(ok(p[j]))    p[j].st++;
        }
    }
    sort(p+1, p+1+4);
    printf("%lld\n%lld %lld\n", p[1].st, p[1].x, p[1].y);
    return 0;
}

Portals

\[ Time Limit: 2 s\quad Memory Limit: 256 MB \]
对于一个 \(v\) 点,如果有多条 \(u->v\),那么我完全可以到最大的 \(u\) 的时候在派士兵过来,这样做一定不会使结果更劣,并且能够保证尽量占领多的城市。

那么用 \(dp[i][j]\) 表示目前的到达第 \(i\) 个城市,手上有 \(j\) 个士兵时,可以获得的最大价值。

贪心处理 \(j\),如果有多个城市的最大的 \(u\)\(i\),既然每个城市都只需派一个人,那么我肯定先派人去可以获得价值大的城市。


view

#include <map>
#include <set>
#include <list>
#include <tuple>
#include <ctime>
#include <cmath>
#include <stack>
#include <queue>
#include <cfloat>
#include <string>
#include <vector>
#include <cstdio>
#include <bitset>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#define  lowbit(x)  x & (-x)
#define  mes(a, b)  memset(a, b, sizeof a)
#define  fi         first
#define  se         second
#define  pb         push_back
#define  pii        pair<int, int>
#define  INOPEN     freopen("in.txt", "r", stdin)
#define  OUTOPEN    freopen("out.txt", "w", stdout)

typedef unsigned long long int ull;
typedef long long int ll;
const int    maxn = 5e3 + 10;
const int    maxm = 1e5 + 10;
const ll     mod  = 1e9 + 7;
const ll     INF  = 1e18 + 100;
const int    inf  = 0x3f3f3f3f;
const double pi   = acos(-1.0);
const double eps  = 1e-8;
using namespace std;

int n, m, k;
int cas, tol, T;

vector<int> g[maxn];
int a[maxn], b[maxn], c[maxn], p[maxn];
ll dp[2][maxn];

bool cmp(int x, int y) {
    return c[x] > c[y];
}

int main() {
    scanf("%d%d%d", &n, &m, &k);
    for(int i=1, x, y, z; i<=n; i++) {
        scanf("%d%d%d", &a[i], &b[i], &c[i]);
        p[i] = i, g[i].clear();
    }
    for(int i=1, u, v; i<=m; i++) {
        scanf("%d%d", &u, &v);
        p[v] = max(p[v], u);
    }
    for(int i=1; i<=n; i++) g[p[i]].pb(i);
    for(int i=1; i<=n; i++) sort(g[i].begin(), g[i].end(), cmp);
    for(int i=0; i<=5000; i++)dp[0][i] = dp[1][i] = -INF;
    dp[0][k] = 0;
    int f = 0;
    for(int i=1; i<=n; i++) {
        f = !f;
        for(int j=0; j<=5000; j++)  dp[f][j] = -INF;
        for(int j=a[i]; j<=5000; j++) {
            if(dp[!f][j] == -INF)   continue;
            ll w = j+b[i], d = 0;
            dp[f][w] = max(dp[f][w], dp[!f][j]);
            for(auto k : g[i]) {
                d += c[k], w--;
                dp[f][w] = max(dp[f][w], dp[!f][j]+d);
                if(!w)  break;
            }
        }
    }
    ll ans = -1;
    for(int i=0; i<=5000; i++)  ans = max(ans, dp[f][i]);
    printf("%lld\n", ans);
    return 0;
}

Common Number

\[ Time Limit: 2 s\quad Memory Limit: 256 MB \]
对于一个数 \(x\)

  1. \(x\) 为偶数,那么它可以通过 \(x\) 得来,然后就是\(2*x、2*x+1\)
  2. \(x\) 为奇数,那么它可以通过 \(x、x+1\) 得来,然后就是 \(2*x、2*x+1、2*x+2、2*x+3\)

\(x\) 的奇偶性相同时,显然对于同一个上届,\(x\) 越小,满足条件的数字越多,那么就可以对 \(x\) 奇偶然后二分答案,最后取两者较大值。


view

#include <map>
#include <set>
#include <list>
#include <tuple>
#include <ctime>
#include <cmath>
#include <stack>
#include <queue>
#include <cfloat>
#include <string>
#include <vector>
#include <cstdio>
#include <bitset>
#include <cstdlib>
#include <cstring>
#include <iostream>
#include <algorithm>
#include <unordered_map>
#define  lowbit(x)  x & (-x)
#define  mes(a, b)  memset(a, b, sizeof a)
#define  fi         first
#define  se         second
#define  pb         push_back
#define  pii        pair<ll, ll>
#define  INOPEN     freopen("in.txt", "r", stdin)
#define  OUTOPEN    freopen("out.txt", "w", stdout)

typedef unsigned long long int ull;
typedef long long int ll;
const int    maxn = 1e5 + 10;
const int    maxm = 1e5 + 10;
const ll     mod  = 1e9 + 7;
const ll     INF  = 1e18 + 100;
const int    inf  = 0x3f3f3f3f;
const double pi   = acos(-1.0);
const double eps  = 1e-8;
using namespace std;

ll n, m;
int cas, tol, T;

bool ok(ll x) {
    queue<pii> q;
    if(x&1) q.push({x, x});
    else    q.push({x, x+1});
    ll ans = 0;
    while(!q.empty()) {
        auto it = q.front();
        q.pop();
        ans += min(n, it.se)-it.fi+1;
        if(2ll*it.fi <= n)  q.push({2ll*it.fi, 2ll*it.se+1});
    }
    return ans>=m;
}

int main() {
    scanf("%lld%lld", &n, &m);
    ll ans = 0;
    {
        ll l=0, r=n/2, res=0;
        while(l<=r) {
            ll mid = l+r>>1;
            if(ok(mid<<1|1))    l = mid+1, res=mid;
            else    r = mid-1;
        }
        ans = max(ans, res<<1|1);
    }
    {
        ll l=1, r=n/2, res=0;
        while(l<=r) {
            ll mid = l+r>>1;
            if(ok(mid<<1))  l = mid+1, res=mid;
            else    r = mid-1;
        }
        ans = max(ans, res<<1);
    }
    printf("%lld\n", ans);
    return 0;
}

Divide The Students

\[ Time Limit: 8 s\quad Memory Limit: 256 MB \]
留坑

Codeforces Round #608 (Div. 2) 题解

标签:type   iostream   class   距离   通过   VID   war   pair   const   

原文地址:https://www.cnblogs.com/Jiaaaaaaaqi/p/12063536.html

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