bzoj 一些题目汇总
2024-09-01 14:53:13
2140: 稳定婚姻
/*
求联通分量。
*/
#include<bits/stdc++.h>
using namespace std;
typedef long long LL; inline int read() {
int x=,f=;char ch=getchar();for(;!isdigit(ch);ch=getchar())if(ch=='-')f=-;
for (;isdigit(ch);ch=getchar())x=x*+ch-'';return x*f;
} const int N = ;
int head[N],nxt[],to[];
int dfn[N],low[N],st[N],bel[N];
int Enum,TimeIndex,NumberPeople,BlockIndex,top;
bool vis[N]; map<string,int> p; struct Couple{
string a,b;
}c[N]; inline void add_edge(int u,int v) {
++Enum;to[Enum] = v, nxt[Enum] = head[u],head[u] = Enum;
} void tarjan(int u) {
dfn[u] = low[u] = ++TimeIndex;
st[++top] = u; // --
vis[u] = true; // --
for (int i=head[u]; i; i=nxt[i]) {
int v = to[i];
if (!dfn[v]) {
tarjan(v);
low[u] = min(low[u],low[v]);
}
else if (vis[v]) low[u] = min(low[u],dfn[v]);
}
if (dfn[u] == low[u]) {
++BlockIndex;
do {
bel[st[top]] = BlockIndex;
vis[st[top]] = false; // --
top--;
} while (st[top+] != u);
}
} int main() {
int n = read();
string a,b;
int tot = ;
for (int i=; i<=n; ++i) {
cin >> c[i].a >> c[i].b;
p[c[i].a] = ++NumberPeople;
p[c[i].b] = ++NumberPeople;
add_edge(NumberPeople-,NumberPeople);
}
int m = read();
for (int i=; i<=m; ++i) {
cin >> a >> b;
add_edge(p[b],p[a]);
}
for (int i=; i<=NumberPeople; ++i) { // -- i<=n
if (!dfn[i]) tarjan(i);
}
for (int i=; i<=n; ++i) {
if (bel[p[c[i].a]] == bel[p[c[i].b]]) puts("Unsafe");
else puts("Safe");
}
return ;
}
2783: [JLOI2012]树
/*
读好题目。
所有路径都是 深度小的->深度大的。
所以,dfs一遍。
*/
#include<bits/stdc++.h>
using namespace std;
typedef long long LL; inline int read() {
int x=,f=;char ch=getchar();for(;!isdigit(ch);ch=getchar())if(ch=='-')f=-;
for (;isdigit(ch);ch=getchar())x=x*+ch-'';return x*f;
} const int N = ;
int head[N],nxt[N<<],to[N<<],Enum;
int w[N],S,Ans;
map<int,int> cnt; inline void add_edge(int u,int v) {
++Enum;to[Enum] = v, nxt[Enum] = head[u],head[u] = Enum;
} void dfs(int u,int fa,int sum) {
if (cnt[sum - S]) Ans += cnt[sum - S];
for (int i=head[u]; i; i=nxt[i]) {
int v = to[i];
if (v == fa) continue;
cnt[sum+w[v]] ++;
dfs(v,u,sum+w[v]);
cnt[sum+w[v]] --;
}
} int main() {
int n = read();S = read();
for (int i=; i<=n; ++i) w[i] = read();
for (int i=; i<n; ++i) {
int u = read(),v = read();
add_edge(u,v);add_edge(v,u);
}
cnt[] = ;cnt[w[]] = ;
dfs(,,w[]);
cout << Ans;
return ;
}
2429: [HAOI2006]聪明的猴子
#include<bits/stdc++.h>
using namespace std;
typedef long long LL; inline int read() {
int x=,f=;char ch=getchar();for(;!isdigit(ch);ch=getchar())if(ch=='-')f=-;
for (;isdigit(ch);ch=getchar())x=x*+ch-'';return x*f;
} const int N = ;
struct Edge{
int u,v;double w;
Edge() {}
Edge(int a,int b,double c) {u = a, v = b, w = c;} // double c
bool operator < (const Edge &A) const {
return w < A.w;
}
}e[N*N];
int x[N],y[N],fa[N],a[N],Enum; int find(int x) {
if (x == fa[x]) return x;
return fa[x] = find(fa[x]);
}
int main() {
int n = read();
for (int i=; i<=n; ++i) a[i] = read();
sort(a+,a+n+);
int m = read();
for (int i=; i<=m; ++i)
x[i] = read(),y[i] = read();
for (int i=; i<=m; ++i)
for (int j=i+; j<=m; ++j) {
double w = sqrt(1.0*(x[i]-x[j])*(x[i]-x[j])+1.0*(y[i]-y[j])*(y[i]-y[j]));
e[++Enum] = Edge(i,j,w);
}
sort(e+,e+Enum+);
for (int i=; i<=m; ++i) fa[i] = i; //-- i<=m
int cnt = ;double mx;
for (int i=; i<=Enum; ++i) {
int u = find(e[i].u), v = find(e[i].v);
if (u != v) {
fa[u] = v;
cnt ++;
mx = e[i].w;
if (cnt == m - ) break; // -- cnt=n-1
}
}
int Ans = ;
for (int i=n; i>=; --i) if (a[i] >= mx) Ans ++; //--居然反了。。
cout << Ans;
return ;
}
2946: [Poi2000]公共串
#include<bits/stdc++.h>
using namespace std;
typedef long long LL; inline int read() {
int x=,f=;char ch=getchar();for(;!isdigit(ch);ch=getchar())if(ch=='-')f=-;
for (;isdigit(ch);ch=getchar())x=x*+ch-'';return x*f;
} const int N = ; struct SuffixAutomaton{
int Last, Index, res, cur, fa[N], trans[N][], len[N];
SuffixAutomaton() {Last = Index = cur = ; res = ;}
void extend(int c) {
int P = Last, NP = ++Index;
len[NP] = len[P] + ;
for (; P&&!trans[P][c]; P=fa[P]) trans[P][c] = NP;
if (!P) fa[NP] = ;
else {
int Q = trans[P][c];
if (len[P] + == len[Q]) fa[NP] = Q;
else {
int NQ = ++Index;
fa[NQ] = fa[Q];
len[NQ] = len[P] + ;
memcpy(trans[NQ], trans[Q], sizeof trans[Q]);
fa[Q] = NQ;
fa[NP] = NQ;
for (; P&&trans[P][c]==Q; P=fa[P]) trans[P][c] = NQ;
}
}
Last = NP;
}
int solve(int c) {
if (trans[cur][c]) {cur = trans[cur][c]; res++; return res;}
for (; cur&&!trans[cur][c]; cur=fa[cur]);
if (!cur) res = , cur = ;
else res = len[cur] + , cur = trans[cur][c];
return res;
}
}sam[]; char s[N];
char str[N]; int main() {
int n = ,t = ,len;
scanf("%s",str+); while (scanf("%s",s+)!=EOF) {
len = strlen(s + );
for (int i=; i<=len; ++i)
sam[t].extend(s[i] - 'a');
t ++;
}
int ans = ;
len = strlen(str+);
for (int i=; i<=len; ++i) {
int tmp = 1e9;
for (int j=; j<t; ++j)
tmp = min(tmp, sam[j].solve(str[i] - 'a'));
ans = max(ans, tmp);
}
printf("%d",ans);
return ;
}
3613: [Heoi2014]南园满地堆轻絮
/*
二分,每个数对应一个区间,每次取区间的最小值。
*/
#include<bits/stdc++.h>
using namespace std;
typedef long long LL; inline int read() {
int x=,f=;char ch=getchar();for(;!isdigit(ch);ch=getchar())if(ch=='-')f=-;
for (;isdigit(ch);ch=getchar())x=x*+ch-'';return x*f;
} const int N = ;
LL A[N], Sa, Sb, Sc, Sd, mod;
int n; LL F(LL x) {
LL x2 = x * x % mod, x3 = x2 * x % mod; //---
return (Sa * x3 % mod + Sb * x2 % mod + Sc * x % mod + Sd) % mod;
}
void init() {
Sa = read(), Sb = read(), Sc = read(), Sd = read(); A[] = read(); mod = read();
for (int i=; i<=n; ++i)
A[i] = (F(A[i-]) + F(A[i-])) % mod;
} bool check(LL x) {
LL last = A[] - x;
for (int i=; i<=n; ++i) {
if (A[i] >= last) {
last = max(A[i] - x, last);
}
else {
if (A[i] + x < last) return false; //---
last = min(A[i] + x, last);
}
}
return true;
} int main() { n = read();
init(); LL L = , R = mod, ans; //---
while (L <= R) {
LL mid = (L + R) >> ;
if (check(mid)) ans = mid, R = mid - ;
else L = mid + ;
}
cout << ans; return ;
}
/*
找出最大的逆序对,然后答案是(mx-mn+1)/2
如果将最大的逆序对可以提升的一个平台,那么其他的逆序对也都可在这一平台。 下面摘自https://blog.csdn.net/vmurder/article/details/44096565
我们把所有逆序对点都搞到同一高度。
然后发现答案是距离最远的逆序对搞到一起的代价。
*/
#include<bits/stdc++.h>
using namespace std;
typedef long long LL; inline int read() {
int x=,f=;char ch=getchar();for(;!isdigit(ch);ch=getchar())if(ch=='-')f=-;
for (;isdigit(ch);ch=getchar())x=x*+ch-'';return x*f;
} const int N = ;
LL A[N], Sa, Sb, Sc, Sd, mod;
int n; LL F(LL x) {
LL x2 = x * x % mod, x3 = x2 * x % mod;
return (Sa * x3 % mod + Sb * x2 % mod + Sc * x % mod + Sd) % mod;
}
void init() {
Sa = read(), Sb = read(), Sc = read(), Sd = read(); A[] = read(); mod = read();
for (int i=; i<=n; ++i)
A[i] = (F(A[i-]) + F(A[i-])) % mod;
} int main() { n = read();
init(); LL Mx = -1e9, ans = ;
for (int i=; i<=n; ++i) {
if (A[i] >= Mx) Mx = A[i];
else ans = max(ans, (Mx - A[i] + ) / );
} cout << ans; return ;
}
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