pat1081-1090

1081

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 105;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

struct Node{
  ll nu, di;
  Node(ll a=0, ll b=0):nu(a), di(b){}
}E[N];
ll gcd(ll x, ll y) {
  if(y == 0) return x;
  else return gcd(y, x%y);
}
ll Abs(ll x) {
  if(x < 0) return -x;
  else return x;
}
int main() {
  int n;
  while(~scanf("%d", &n)) {
    for(int i = 0; i < n; ++i) {
      char s[100]; 
      int positive = 1;
      scanf("%s", s);
      if(s[0] == '-') {
        positive *= -1;
      }
      ll t1 = 0; ll t2 = 0;
      int j;
      for(j = 0; s[j]; ++j) {
        if(s[j] == '/') break;
        else if(s[j] != '-') t1 = t1*10 + s[j]-'0';
      }
      for(j++; s[j]; ++j) {
        t2 = t2*10 + s[j]-'0';
      }
      ll tmp = gcd(t1, t2);
      t1 /= tmp; t2 /= tmp;
      E[i] = Node(t1*positive, t2);
    //  printf("%d %d\n", t1, t2);
    }

    Node nw = Node(E[0].nu, E[0].di);


    for(int i = 1; i < n; ++i) {
      ll t2 = 1ll* E[i].di * nw.di / gcd(E[i].di, nw.di);
      ll t1 = nw.nu * t2 / nw.di + E[i].nu * t2 / E[i].di;
      int positive = 1;
      if(t1 < 0) positive *= -1;
      if(t2 < 0) positive *= -1;
      t1 = Abs(t1); t2 = Abs(t2);

      ll tmp = gcd(t1, t2);
         t1 /= tmp; t2 /= tmp;  
      nw = Node(t1*positive, t2);
    }
    if(nw.nu % nw.di == 0) printf("%lld\n", nw.nu/nw.di);
    else {
      if(nw.nu / nw.di) printf("%lld ", nw.nu / nw.di);
      printf("%lld/%lld\n", nw.nu%nw.di, nw.di);
    }

  }
  return 0;
}

1082 挺难一个大模拟，我是把亿，万，分别处理的

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 105;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)
const int e8 = 1e8;
const int e4 = 1e4;

struct Node{
  int num[5];
}E[4];
char A[12][10] = {"ling", "yi", "er", "san", "si", "wu", "liu", "qi", "ba", "jiu"};
char B[5][10] = {"Shi","Bai", "Qian", "Wan", "Yi"};
vector<int> ans;
void solve(Node &a, int x) {
  int cnt = 0;
  while(x) {
    a.num[cnt++] = x%10;
    x /= 10;
  }
}
void print(Node &a) {
//  for(int i = 0; i < 4; ++i) printf("%d ", a.num[i]); printf("\n");
  if(a.num[3] == 0 && ans.size() > 0) ans.push_back(0);
  if(a.num[3]) ans.push_back(a.num[3]), ans.push_back(12);

  if(a.num[2]) ans.push_back(a.num[2]), ans.push_back(11);

  if(a.num[1] == 0 && a.num[0] && a.num[2]) ans.push_back(0);
  if(a.num[3] && a.num[1] && a.num[2] == 0) ans.push_back(0);
     if(a.num[2] == 0 && a.num[1] == 0 && a.num[0] && a.num[3]) ans.push_back(0);  

  if(a.num[1]) ans.push_back(a.num[1]), ans.push_back(10);


  if(a.num[0]) ans.push_back(a.num[0]);
}
int main() {
  int n;
  while(~scanf("%d", &n)) {
    if(n == 0) {
      printf("ling\n"); continue;
    }
    ans.clear();
    for(int i = 0; i <= 3; ++i) {
      memset(E[i].num, 0, sizeof(E[i].num));
    }
    if(n < 0) {
      n = -n;
      printf("Fu ");
    } 

    solve(E[1], n/e8); solve(E[2], (n%e8)/e4); solve(E[3], n%e4);
    int pre = ans.size();
    print(E[1]); 
    if(ans.size() > pre) {
      ans.push_back(14);
      pre = ans.size();
    }
    print(E[2]);
    if(ans.size() > pre) {
      ans.push_back(13);
      pre = ans.size();
    }
    print(E[3]);

    for(int i = 0; i < ans.size(); ++i) {
      if(i) printf(" ");
      if(ans[i] < 10) printf("%s", A[ans[i]]);
      else printf("%s", B[ans[i]%10]);
    }
    printf("\n");
  }
  return 0;
}

1083

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 105;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)
struct Node{
  char nam[15];
  char Id[15];
  int grade;
  bool operator < (const Node & T) const {
    return grade > T.grade;
  }
}E[N];

int main() {
  int n;
  while(~scanf("%d", &n)) {
    for(int i = 0; i < n; ++i) {
      scanf("%s %s %d", E[i].nam, E[i].Id, &E[i].grade);
    }
    int g1, g2;
    scanf("%d %d", &g1, &g2);
    if(g1 > g2) swap(g1, g2);
    sort(E, E+n);

    int has = 0;
    for(int i = 0; i < n; ++i) {
      if(E[i].grade >= g1 && E[i].grade <= g2) {
        printf("%s %s\n", E[i].nam, E[i].Id);  
        has ++;
      }
    }

    if(!has) printf("NONE\n");
  }
  return 0;
}

1084

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 105;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

char s1[85], s2[85];
int asci[128];
int main() {
  while(~scanf("%s %s", s1, s2)) {
    for(int i = 0; i < strlen(s2); ++i) {
      if(s2[i] >= 'a' && s2[i] <= 'z') s2[i] = s2[i]-'a'+'A';
      asci[s2[i]] ++;  
    }

    for(int i = 0; i < strlen(s1); ++i) {
      if(s1[i] >= 'a' && s1[i] <= 'z') s1[i] = s1[i]-'a'+'A';
      if(!asci[s1[i]]) {
        asci[s1[i]] ++;
        printf("%c", s1[i]);      
      }
    }
    printf("\n");

  }
  return 0;
}

1085

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 1e5+5;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

int A[N];
int main() {
  int n, p;
  while(~scanf("%d %d", &n, &p)) {
    for(int i = 0; i < n; ++i) scanf("%d", &A[i]);
    if(p < 1) {
      printf("0\n"); continue;
    }
    sort(A, A+n);

    int j = 0;
    int ans = -1;
    for(int i = 0; i < n; ++i) {
      for(j = max(j, i); j < n; ++j) {
        if(A[j] > 1ll*A[i] *p) break;
        else ans = max(ans, j-i+1);
      }
    }
    printf("%d\n", ans);
  }
  return 0;
}

1086 需要思考下，其实可以直接建图

 #include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<stack>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 1e5+5;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

int L[35]; int R[35]; int fa[35];
int root; 


int fl;
void dfs(int x) {
  if(L[x]) dfs(L[x]);
  if(R[x]) dfs(R[x]);
  if(!fl) fl = 1;
  else printf(" ");
  printf("%d", x);

}

int main() {
  int n;
  while(~scanf("%d", &n)) {
    memset(L, 0, sizeof(L));
    memset(R, 0, sizeof(R));
    fl = 0;
    stack<int> st;

    root = 0;
    int pre = -INF; 
    for(int i = 0; i < 2*n; ++i) {
    //  printf("%d\n", nw);
      char s[10];
      scanf("%s", s);
      if(s[1] == 'u') {
        int a; scanf("%d", &a);
        st.push(a);

        if(pre == -INF) root = a;
        else if(pre < 0) {
          R[-pre] = a;
        }else L[pre] = a;
        pre = a;
      }else {
        pre = -st.top();
        st.pop();
      }
    }
    dfs(root);
    printf("\n");  
  }
  return 0;
}

1087

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<stack>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 205;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

map<string, int> mp;
int tot;
char nam[205][10];
int hap[205];
int Start = 1, End;
struct Node{
  int nx, to, di;
}E[N*N*2];
int head[N], tol;
void add(int fr, int to, int di) {
  E[tot].to = to; E[tot].di = di; E[tot].nx = head[fr]; head[fr] = tot++;
}
struct Hode{
  int po, di;
  Hode(int a=0, int b=0):po(a), di(b){}
  bool operator < (const Hode &T) const {
    return di > T.di;
  }
};
int vis[N], dis[N];
void dij(int x) {
  memset(vis, 0, sizeof(vis));
  memset(dis, INF, sizeof(dis));
  dis[x] = 0;
  priority_queue<Hode> Q;
  Q.push(Hode(x, dis[x]));
  while(!Q.empty()) {
    int po = Q.top().po; Q.pop();
    if(vis[po]) continue;
    vis[po] = 1;
    for(int i = head[po]; ~i; i = E[i].nx) {
      int to = E[i].to;
      if(dis[to] > dis[po] + E[i].di) {
        dis[to] = dis[po] + E[i].di;
        Q.push(Hode(to, dis[to]));
      }
    }
  }
}
vector<int> ans; int Ans;
vector<int> tmp; int Tmp;
int all = 0;
void dfs(int x) {
  if(x == End) {
    all ++;
  //  printf("%d\n", Tmp);
    if(Tmp > Ans) {
      ans.clear();
      for(int i = 0; i < tmp.size(); ++i) ans.push_back(tmp[i]); Ans = Tmp;
    }else if(Tmp == Ans && tmp.size() < ans.size()) {
      ans.clear();
      for(int i = 0; i < tmp.size(); ++i) ans.push_back(tmp[i]);
    }
    return;
  }

  for(int i = head[x]; ~i; i = E[i].nx) {
    int to = E[i].to;
    if(dis[to] == dis[x] + E[i].di) {
      tmp.push_back(to); Tmp += hap[to];
      dfs(to);
      tmp.erase(--tmp.end()); Tmp -= hap[to];
    }
  }
}
int main() {
  int n, k;
  char s[10];
  while(~scanf("%d %d %s", &n, &k, s)) {
    all =  0;
    tot = 0; Ans = -1;
    memset(head, -1, sizeof(head));
    tol = 0;

    if(mp.find(s) == mp.end()) {
      mp[s] = ++tol;
    //  printf("%s\n",s);
      for(int j = 0; j <= strlen(s); ++j) nam[tol][j] = s[j];
    //  printf("%s\n", nam[tol]);
    }
    for(int i = 2; i <= n; ++i) {
      int a; scanf("%s %d", s, &a);

      if(strcmp(s, "ROM") == 0) {
        End = i;
      }
      if(mp.find(s) == mp.end()) {
        mp[s] = ++tol;
        for(int j = 0; j <= strlen(s); ++j) nam[tol][j] = s[j];
      }
      hap[tol] = a; 
    }
  //  printf("%d\n", tol);
    for(int i = 0; i < k; ++i) {
      char a[10]; char b[10]; int c;
      scanf("%s %s %d", a, b, &c);
      add(mp[a], mp[b], c); add(mp[b], mp[a], c);
    }
    dij(Start);
  //  printf("%d %d\n", Start, End);

    Tmp = 0; tmp.clear();
    dfs(Start);

    printf("%d %d %d %d\n%s", all, dis[End], Ans, Ans/ans.size(), nam[1]);
    for(int i = 0; i < ans.size(); ++i) {
      printf("->%s", nam[ans[i]]);
    }
    printf("\n");
  }
  return 0;
}

1088这题查了很长时间，其实就是一个地方 数字越界了！，应该多思考，思考会错误的地方

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<stack>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 205;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

char s[] = "+-*/";
ll gcd(ll a, ll b) {
  if(b == 0) return a;
  else return gcd(b, a%b);
}
ll Abs(ll x) {
  if(x < 0) return -x;
  else return x;
}
void doo(ll a, ll b) {
//  if(b> 1e10) while(1);
//  printf(" hh%lld:%lld ", a, b);
  if(b == 0) { printf("Inf"); return; }

  if(a == 0) { printf("0"); return; }

  int fl = 1;
  if(a * b < 0) {
    fl = -1;
  }
  a = Abs(a); b = Abs(b);
  ll tmp = gcd(a, b);
  a /= tmp; b /= tmp;

  if(fl == -1) printf("(-");

  if(b == 1) {
    printf("%lld", a);
  }else {
    if(a/b == 0) printf("%lld/%lld", a, b);
    else printf("%lld %lld/%lld", a/b, a%b, b);
  }

  if(fl == -1) printf(")");
}
void show(ll a, ll b, ll c, ll d, ll e, ll f, int ty) {
  doo(a, b);
  printf(" %c ", s[ty-1]);
  doo(c, d);
  printf(" = ");
  doo(e, f);
  printf("\n");
}
int main() {
  ll a,b,c,d;
  while(~scanf("%lld/%lld %lld/%lld", &a, &b, &c, &d)) {
    if(a < 0 && b < 0) {
      a = -a; b = -b;
    }
    if(a > 0 && b < 0) {
      a = -a; b = -b;
    }
    if(c < 0 && d < 0) {
      c = -c; d = -d;
    }
    if(c > 0 && d < 0) {
      c = -c; d = -d;
    }

    if(a) {
      ll tt = gcd( Abs(a), Abs(b) );
      a /= tt; b /= tt;
    }

    if(c) {
      ll tt = gcd( Abs(c), Abs(d) );
      c /= tt; d /= tt;
    }

  //  printf("%lld\n", c);
    //add
    show(a, b, c, d, a*d+b*c, b*d, 1);
    //minus
    show(a, b, c, d, a*d-b*c, b*d, 2);
    //mul
  //  if(tmp > 1e9) while(1);
    show(a, b, c, d, a*c, b*d, 3);
    //dul
    show(a, b, c, d, a*d, c*b, 4);
  }
  return 0;
}

1089 考察归并排序的一题，还是那句话，暑假得复习数据结构啦

#include<cmath>
#include<map>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<set>
#include<vector>
#include<queue>
#include<stack>
#include<algorithm>
using namespace std;
typedef long long ll;
const int N = 205;
const int INF = 0x3f3f3f3f;
#define MP(x, y) make_pair(x, y)

int init[N];
int temp[N];
int a[N];
int n;
void insert(int x) {
  int po = x; int tmp = a[x];
  for(int j = 1; j < x; ++j) {
    if(a[x] <= a[j]) {
      po = j;
      break;
    }
  }
  for(int j = x; j >= po+1; --j) {
    a[j] = a[j-1];
  }
  a[po] = tmp;
}
void Merge(int x, int ty) {
  for(int i = 1; i <= n; i += x) {
    int t1 = i; int t2 = min(n, i+x-1);
    sort(a+t1, a+t2+1);
  }
  if(!ty) {
    printf("Merge Sort\n");
    for(int i = 1; i <= n; ++i) {
      if(i != 1) printf(" ");
      printf("%d", a[i]);
    }
    printf("\n");
    return;
  }
  int fl = 1;
  for(int i = 1; i <= n; ++i) {
    if(a[i] != temp[i]) {
      fl = 0; break;
    }
  }

  if(fl) Merge(x*2, 0);
  else Merge(x*2, ty);
}
int main() {
  while(~scanf("%d", &n)) {
    for(int i = 1; i <= n; ++i) scanf("%d", &init[i]);
    for(int i = 1; i <= n; ++i) scanf("%d", &temp[i]);
    for(int i = 1; i <= n; ++i) a[i] = init[i];

    int ju = 0;
    for(int i = 1; i <= n; ++i) {
      insert(i);
    //  for(int j = 1; j <= n; ++j) printf("%d ", a[j]); printf("\n");
      int nn = 1;
      for(int j = 1; j <= n; ++j) {
        if(temp[j] != a[j]) {
          nn = 0; break;
        }
      }
      int mx = 1;
      for(int j = 2; j <= n; ++j) {
        if(temp[j] > temp[j-1]) {
          mx = j;
        }else break;
      }
      if(mx > i) continue;

      if(nn) {
        printf("Insertion Sort\n");
        ju = 1;
        insert(i+1);
        for(int j = 1; j <= n; ++j) {
          if(j != 1) printf(" ");
          printf("%d", a[j]);
        } printf("\n");
        break;
      }
    }
  //  ju = 0;
    if(!ju) {
      for(int i = 1; i <= n; ++i) a[i] = init[i];
      Merge(2, 1);
  //    while(1);
    }
  }
  return 0;
}

1090

#include<iostream>
#include<cstdio>
#include<cstring>
#include<vector>
#include<cmath>
#include<queue>
#include<algorithm>
#include<ctime>
#include<cstdlib>
#include<map>
#include<set>

using namespace std;
const int INF = 0x3f3f3f3f;
const int N = 1e5+5;
typedef long long ll;
#define MP(x, y) make_pair(x, y)

int n; double p, r;
struct Node{
  int to, nx;
}E[N*1000];
int head[N]; int tot;
void add(int fr, int to) {
  E[tot].to = to; E[tot].nx = head[fr]; head[fr] = tot++;
}
int has[N];
double ans;
vector<double> vc; 
void dfs(int x, double price) {
  if(!has[x]) {
    if(ans < price) {
      ans = price;
    }
    vc.push_back(price);
    return;
  } 
  for(int i = head[x]; ~i; i = E[i].nx) {
    int to = E[i].to;
    dfs(to, price*(1+ r/100));
  }
}
int main() {
  while(~scanf("%d %lf %lf", &n, &p, &r)) {
    ans = -1;
    memset(head, -1, sizeof(head));
    memset(has, 0, sizeof(has));
    tot = 0; ans = 0;
    int root;
    for(int i = 0; i < n; ++i) {
      int a; scanf("%d", &a);
      if(a == -1) root = i;
      else add(a, i), has[a] ++;
    }

    dfs(root, p);
    int all = 0; 
    for(int i = 0; i < vc.size(); ++i) {
      if(vc[i] == ans) {
        all ++;
      }
    }
    printf("%.2f %d\n", ans , all);
  }
  return 0;
}