2015 Multi-University Training Contest 1

1002 Assignment RMQ

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
/**
* 2015年7月21日 下午1:40:29
* PrjName:0721-02
* @ Semprathlon
*/
import java.io.*;
import java.util.*;
public class Main {
final static int maxm=20,maxn=100010;
static int[] a;
static int[][] maxsum,minsum;
static int n,k;

static void RMQ(){ //预处理->O(nlogn){
for(int i = 1; i != maxm; ++i)
for(int j = 1; j <= n; ++j)
if(j + (1 << i) - 1 <= n){
maxsum[i][j] = Math.max(maxsum[i - 1][j], maxsum[i - 1][j + (1 << i >> 1)]);
minsum[i][j] = Math.min(minsum[i - 1][j], minsum[i - 1][j + (1 << i >> 1)]);
}
}

static int query(int src,int des){
int k = (int)(Math.log(des - src + 1.0) / Math.log(2.0));
int maxres = Math.max(maxsum[k][src], maxsum[k][des - (1 << k) + 1]);
int minres = Math.min(minsum[k][src], minsum[k][des - (1 << k) + 1]);
return maxres-minres;
}

static int bisearch(int p){
int l=p,r=n;
int res=p;
while(l<=r){
int mid=(l+r)>>1;
int dif=query(p,mid);
if (dif<k){
res=mid;l=mid+1;
}
else
r=mid-1;
}
return res-p+1;
}

public static void main(String[] args) throws IOException{
// TODO Auto-generated method stub
InputReader in=new InputReader(System.in);
PrintWriter out=new PrintWriter(System.out);
int T=in.nextInt();
while(T-->0){
n=in.nextInt();
k=in.nextInt();
a=new int[n+1];
maxsum=new int[maxm][n+1];
minsum=new int[maxm][n+1];
for(int i=1;i<=n;i++){
a[i]=in.nextInt();
maxsum[0][i]=minsum[0][i]=a[i];
}
RMQ();
long res=0L;
for(int i=1;i<=n;i++)
//out.print(bisearch(i)+" ");
res+=bisearch(i);
out.println(res);
}
out.flush();
out.close();
}

}

class InputReader{
public BufferedReader reader;
public StringTokenizer tokenizer;

public InputReader(InputStream stream){
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}

public String next(){
while(tokenizer == null || !tokenizer.hasMoreTokens()){
try{
tokenizer = new StringTokenizer(reader.readLine());
}catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}

public int nextInt() {
return Integer.parseInt(next());
}

public long nextLong() {
return Long.parseLong(next());
}
}

1007 Tricks Device

netflow,maxflow,Dinic

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
/**
* 2015年7月22日 上午10:07:44
* PrjName:0721-07
* @ Semprathlon
*/
import java.io.*;
import java.util.*;

class Edge{
int to,cap,rev,next;
Edge(){}
Edge(int t,int w,int r,int nt){
to=t;cap=w;rev=r;next=nt;
}
Edge(Edge e){
this.to=e.to;
this.cap=e.cap;
this.rev=e.rev;
this.next=e.next;
}
void set(int t,int w,int r,int nt){
to=t;cap=w;rev=r;next=nt;
}
void set(Edge e){
this.to=e.to;
this.cap=e.cap;
this.rev=e.rev;
this.next=e.next;
}
}
class Queue<T>{
T[] data;
int size,h,r;
/*Queue(Class<T> c,int sz){
size=sz;
@SuppressWarnings("unchecked")
final T[] tmp=(T[])Array.newInstance(c, sz);
data=tmp;
}*/
Queue(int sz){
size=sz;
data=(T[])new Object[sz];
}
void clear(){
h=r=0;
}
boolean empty(){
return h==r;
}
boolean full(){
return (r+1)%size==h;
}
void push(T n){
data[r]=n;
r=(r+1)%size;
}
T pop(){
T tmp=data[h];
h=(h+1)%size;
return tmp;
}
}

public class Main {
static int[] head,dis,cnt;
static boolean[] vis;
static Edge[] G;
static int n,m;
static Queue<Integer> que;
static void bfs(int st){
Arrays.fill(dis, -1);
que.clear();
dis[st]=0;
vis[st]=true;
que.push(st);
while(!que.empty()){
int u=que.pop();
for(int i=head[u];i>-1;i=G[i].next){
int v=G[i].to;
if (G[i].cap>0&&!vis[v]){
dis[v]=dis[u]+1;
que.push(v);
vis[v]=true;
}
}
}
}
static int dfs(int u,int d){
if (u==n) return d;
int res=0;
for(int i=head[u];i>-1;i=G[i].next){
int v=G[i].to;
if (G[i].cap>0&&dis[v]==dis[u]+1){
int tmp=dfs(v,Math.min(d,G[i].cap));
G[i].cap-=tmp;
G[G[i].rev].cap+=tmp;
d-=tmp;
res+=tmp;
}
}
return res;
}
static int max_flow(int s,int t){
int res=0;
for(;;){
Arrays.fill(vis, false);
bfs(s);
if (!vis[t]) return res;
res+=dfs(s,Integer.MAX_VALUE);
}
}
static void addedge(int from,int to,int cap){
G[head[0]]=new Edge(to, cap, head[0]+1, head[from]);
head[from]=head[0]++;
G[head[0]]=new Edge(from,cap,head[0]-1,head[to]);
head[to]=head[0]++;
}
static void spfa(int st){
que.clear();
que.push(st);
dis[st]=0;
vis[st]=true;
while(!que.empty()){
int u=que.pop();vis[u]=false;
for(int i=head[u];i>-1;i=G[i].next){
int v=G[i].to;
if (dis[u]+G[i].cap<dis[v]){
dis[v]=dis[u]+G[i].cap;
if (!vis[v]){
que.push(v);
vis[v]=true;
}
}
}
}
}
static int spfa2(int s,int t){
Arrays.fill(cnt, Integer.MAX_VALUE);
Arrays.fill(vis, false);
que.clear();
que.push(s);
cnt[s]=0;
vis[s]=true;
while(!que.empty()){
int u=que.pop();vis[u]=false;
for(int i=head[u];i>-1;i=G[i].next){
int v=G[i].to;
if (dis[u]+G[i].cap!=dis[v]) continue;
if (!vis[v]){
que.push(v);
vis[v]=true;
}
cnt[v]=Math.min(cnt[v], cnt[u]+1);
}

}
return cnt[t];
}
static void init(){
G=new Edge[(m<<1)+1];
head=new int[(m<<1)+1];
dis=new int[n+1];
cnt=new int[n+1];
vis=new boolean[n+1];
Arrays.fill(head, -1);
Arrays.fill(dis, Integer.MAX_VALUE);
head[0]=1;
//que=new Queue(Integer.class,(m<<1)+1);
que=new Queue<Integer>((m<<1)+1);
}
public static void main(String[] args) throws IOException,InterruptedException {
// TODO Auto-generated method stub
StreamTokenizer cin = new StreamTokenizer(new BufferedInputStream(System.in));
//InputReader in=new InputReader(System.in);
PrintWriter out=new PrintWriter(System.out);
while(cin.nextToken()!=StreamTokenizer.TT_EOF){
n=(int)cin.nval;
cin.nextToken();
m=(int)cin.nval;
init();
for(int i=1;i<=m;i++){
cin.nextToken();
int u=(int)cin.nval;
cin.nextToken();
int v=(int)cin.nval;
cin.nextToken();
int w=(int)cin.nval;
addedge(u, v, w);
//addedge(v, u, w);
}
spfa(1);
//out.println(dis[n]);
//max_flow(1, n);
//init2();
Dinic dinic=new Dinic(1, n);
for(int u=1;u<=n;u++)
for(int i=head[u];i>-1;i=G[i].next){
int v=G[i].to;
if (dis[u]+G[i].cap==dis[v])
dinic.add(u, v, 1);
}
/*init();
for(int i=1;i<=U[0];i++)
addedge(U[i],V[i].to,1);*/
out.println(dinic.maxflow()+" "+(m-spfa2(1,n)));
/*for(int i=1;i<=n;i++)
for(int j=head[i];j>-1;j=G[j].next)
out.println(j+"\t:"+i+" "+G[j].to+" "+G[j].cap+" "+G[j].rev+" "+G[j].next);*/

}
out.flush();
out.close();
}

}

class Dinic{
public Dinic(int sourse , int meet){
this.sourse = sourse ;
this.meet = meet ;
Arrays.fill(g, 0) ;
id = 1 ;
}

static final int maxn = 2008 , maxm = 500000 ;
static class Edge{
int v , f ,next ;
Edge(){}
Edge(int _v , int _f , int _next){
this.v = _v ;
this.f = _f ;
this.next = _next ;
}
};
int sourse , meet ;
int id ;
static Edge[] e = new Edge[maxm*2 + 10] ;
static int[] g = new int[maxn + 10] ;

public void add(int u , int v , int f){
e[++id] = new Edge(v , f ,g[u]) ;
g[u] = id ;
e[++id] = new Edge(u , 0 , g[v]) ;
g[v] = id ;
}

Queue<Integer> que = new Queue<Integer>(maxm);
static boolean[] vis = new boolean[maxn + 10] ;
static int[] dist = new int[maxn + 10] ;

void bfs(){
Arrays.fill(dist, 0) ;
while(! que.empty()) que.pop() ;
que.push(sourse) ;
vis[sourse] = true ;
while(! que.empty()){
int u = que.pop() ;
for(int i = g[u] ; i > 0 ; i = e[i].next){
int v = e[i].v ;
if(e[i].f > 0 && !vis[v]){
que.push(v) ;
dist[v] = dist[u] + 1 ;
vis[v] = true ;
}
}
}
}

int dfs(int u , int delta){
if(u == meet) return delta ;
int ans = 0 ;
for(int i = g[u] ; i > 0 && delta > 0 ; i = e[i].next){
int v = e[i].v ;
if(e[i].f > 0 && dist[v] == dist[u] + 1){
int d = dfs(v , Math.min(delta , e[i].f)) ;
e[i].f -= d ;
e[i^1].f += d ;
delta -= d ;
ans += d ;
}
}
return ans ;
}

public int maxflow(){
int ans = 0 ;
while(true){
Arrays.fill(vis, false) ;
bfs() ;
if(! vis[meet]) return ans ;
ans += dfs(sourse , Integer.MAX_VALUE) ;
}
}

}

class InputReader{
public BufferedReader reader;
public StringTokenizer tokenizer;

public InputReader(InputStream stream){
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}

public String next(){
while(tokenizer == null || !tokenizer.hasMoreTokens()){
try{
tokenizer = new StringTokenizer(reader.readLine());
}catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}

public int nextInt() {
return Integer.parseInt(next());
}

public long nextLong() {
return Long.parseLong(next());
}

}

特别复杂的套模板