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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#109523#5828. 游戏fireince60 754ms47028kbC++144.8kb2023-05-29 16:41:572023-05-29 16:41:59

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-05-29 16:41:59]
  • 评测
  • 测评结果:60
  • 用时:754ms
  • 内存:47028kb
  • [2023-05-29 16:41:57]
  • 提交

answer

#include<iostream>
#include<cassert>
#include<algorithm>
#include<vector>
#define endl '\n'
using namespace std;
typedef long long ll;
const int N=2e5+500;
const int H=19;
int fa[N][H],dep[N];
vector<int> G[N];
void lca_pre(int u,int f){
    fa[u][0]=f;
    dep[u]=dep[f]+1;
    for(int i=1;i<H;i++)fa[u][i]=fa[fa[u][i-1]][i-1];
    for(int v:G[u]){
        if(v==f)continue;
        lca_pre(v,u);
    }
}
int lca(int a,int b){
    if(dep[a]<dep[b])swap(a,b);
    for(int i=H-1;i>=0;i--)
        if(dep[fa[a][i]]>=dep[b])a=fa[a][i];
    if(a==b)return a;
    for(int i=H-1;i>=0;i--)
        if(fa[a][i]!=fa[b][i])a=fa[a][i],b=fa[b][i];
    return fa[a][0];
}
int jump_up(int u,int d){
    for(int i=H-1;i>=0;i--)
        if(dep[fa[u][i]]>=d)u=fa[u][i];
    return u;
}
int find_subtree(int u,int v){
    return jump_up(v,dep[u]+1);
}

const int TN=5e6;
struct Seg{
    static int scnt;
    static Seg segs[TN];
    int lc,rc,val;
    Seg& ch(bool k,bool c=false){
        int& w=k?rc:lc;
        if(!w)w=++scnt;
        return segs[w];
    }
    void refresh(){
        val=max(ch(0).val,ch(1).val);
    }
    void insert(int l,int r,int idx,int value){
        if(l==r){
            val=value;
            return;
        }
        int mid=(l+r)>>1;
        if(idx<=mid)ch(0,true).insert(l,mid,idx,value);
        else ch(1,true).insert(mid+1,r,idx,value);
        refresh();
    }
    int query(int l,int r,int ql,int qr){
        if(ql<=l&&qr>=r)
            return val;
        int mid=(l+r)>>1,ans=0;
        if(ql<=mid)ans=max(ans,ch(0).query(l,mid,ql,qr));
        if(qr>mid)ans=max(ans,ch(1).query(mid+1,r,ql,qr));
        return ans;
    }
};

Seg Seg::segs[TN];
int Seg::scnt=0;

Seg t[N];
int n;
void add(int x,int y,int v){
    x=n-x+1;
    for(;x<=n+1;x+=x&-x)
        t[x].insert(0,n,y,v);
}
int ask(int x,int y){
    int ans=0;
    x=n-x+1;
    for(;x;x-=x&-x)
        ans=max(ans,t[x].query(0,n,y,n));
    return ans;
}

int far[N][3],md[N],mu[N];
bool cmp1(int a,int b){
    return dep[a]>dep[b];
}
void dfs1(int u,int f){
    vector<int> tmp;
    tmp.push_back(u);
    tmp.push_back(u);
    tmp.push_back(u);
    for(int v:G[u]){
        if(v==f)continue;
        dfs1(v,u);
        if(far[v][0])tmp.push_back(far[v][0]);
    }
    sort(tmp.begin(),tmp.end(),cmp1);
    for(int i=0;i<tmp.size()&&i<3;i++)far[u][i]=tmp[i];
}
int dis(int a,int b){
    assert(a);
    assert(b);
    return dep[a]+dep[b]-2*dep[lca(a,b)];
}
void dfs2(int u,int f){
    if(f){
        for(int i=0;i<3;i++)
        if(find_subtree(f,far[f][i])!=u){
            mu[u]=far[f][i];
            break;
            }
        mu[u]=dis(u,mu[u])>dis(u,mu[f])?mu[u]:mu[f];
    }else{
        mu[u]=u;
    }
    for(int v:G[u]){
        if(v==f)continue;
        dfs2(v,u);
    }
    int k=mu[u];
    for(int i=0;i<3;i++)
        if(dis(u,k)>dis(u,far[u][i]))swap(k,far[u][i]);
}
struct P{
    int u;
    int a[3];
} ps[N];
struct Query{
    int a[3],b[3],id;
} qs[N];
int reses[N][3];
bool cmp2(Query a,Query b){
    return a.b[0]>b.b[0];
}
bool cmp3(P a,P b){
    return a.a[0]>b.a[0];
}
int main(){
    ios::sync_with_stdio(false);
    cin>>n;
    for(int i=1;i<n;i++){
        int u,v;
        cin>>u>>v;
        G[u].push_back(v);
        G[v].push_back(u);
    }
    lca_pre(1,0);    
    dfs1(1,0);
    dfs2(1,0);
    for(int i=1;i<=n;i++){
        ps[i].u=i;
        for(int j=0;j<3;j++)ps[i].a[j]=dis(i,far[i][j]);
    }
    sort(ps+1,ps+1+n,cmp3);
    int q;
    cin>>q;
    for(int i=1;i<=q;i++){
        cin>>qs[i].a[0]>>qs[i].a[1]>>qs[i].a[2];
        int t=(qs[i].a[0]+qs[i].a[1]+qs[i].a[2])/2;
        for(int j=0;j<3;j++)qs[i].b[j]=t-qs[i].a[j];
        sort(qs[i].b,qs[i].b+3,greater<int>());
        qs[i].id=i;
    }
    sort(qs+1,qs+1+q,cmp2);
    int p=1;
    for(int i=1;i<=q;i++){
        while(p<=n&&ps[p].a[0]>=qs[i].b[0]){
            add(ps[p].a[1],ps[p].a[2],ps[p].u);
            p++;
        }
        int u=ask(qs[i].b[1],qs[i].b[2]);
        int *r=reses[qs[i].id];
        for(int j=0;j<3;j++){
            if(fa[find_subtree(u,far[u][j])][0]==u){
                r[j]=jump_up(far[u][j],dep[u]+qs[i].b[j]);
            }else{
                int l=lca(far[u][j],u);
                if(qs[i].b[j]>dep[u]-dep[l])r[j]=jump_up(far[u][j],dep[l]+qs[i].b[j]-(dep[u]-dep[l]));
                else r[j]=jump_up(u,dep[u]-qs[i].b[j]);
            }
        }
        for(int j=0;j<6;j++){
            if(dis(r[0],r[1])==qs[i].a[0]&&dis(r[0],r[2])==qs[i].a[1]&&dis(r[1],r[2])==qs[i].a[2])break;
            next_permutation(r,r+3);
        }
    }
    for(int i=1;i<=q;i++){
        cout<<reses[i][0]<<" "<<reses[i][1]<<" "<<reses[i][2]<<endl;
    }
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 6ms
memory: 19964kb

input:

500
279 196
182 105
400 14
278 217
198 411
379 318
120 421
314 95
437 325
23 433
71 485
192 154
90 224
180 71
328 93
183 101
404 349
223 285
492 100
366 480
29 328
200 448
365 156
226 231
129 167
246 273
171 452
284 6
131 471
229 90
480 48
448 157
240 221
7 36
401 200
255 438
436 110
281 489
388 258...

output:

125 285 94
28 222 451
478 342 285
126 480 101
69 395 421
207 492 343
126 48 2
178 311 497
458 69 215
190 345 174
306 497 356
183 74 270
154 492 311
124 342 399
17 333 285
497 48 356
355 345 28
345 35 456
154 35 253
1 200 138
497 125 492
227 262 78
68 399 332
136 210 344
390 73 78
492 342 92
242 125 ...

result:

ok Accepted!

Test #2:

score: 10
Accepted
time: 9ms
memory: 20136kb

input:

2000
643 1871
689 23
1822 1443
1031 1027
1655 845
189 771
1561 498
19 1778
576 1080
904 717
1690 291
1387 1077
398 811
1310 1231
645 1291
480 927
330 170
1464 1057
1033 894
1308 288
1292 1529
1212 122
1108 401
89 1118
1058 1088
1764 1314
981 1255
1893 864
180 1887
1903 843
734 1412
883 1013
1739 124...

output:

890 1985 1416
474 546 688
1454 1897 409
25 1826 1985
1686 581 1992
1371 1093 913
798 1262 1738
287 1094 1179
696 1047 1083
38 158 118
866 1686 1238
1495 261 1201
42 873 298
524 1803 1565
1757 1803 414
1104 1992 362
1700 1992 581
1127 1094 121
564 1090 87
1445 1134 722
581 1237 875
295 1122 727
1751 ...

result:

ok Accepted!

Test #3:

score: 10
Accepted
time: 732ms
memory: 46040kb

input:

200000
56968 132021
105656 107536
123627 58349
119191 138198
133708 142638
114350 24980
137784 40346
124158 130204
80684 183207
78156 94449
21893 157560
54464 73571
145830 57756
160288 32120
178632 142663
26565 185985
70576 24906
32217 115826
185756 137673
54280 179613
77826 144447
66005 29955
11745...

output:

49216 166995 114956

result:

ok Accepted!

Test #4:

score: 10
Accepted
time: 711ms
memory: 43108kb

input:

200000
41999 100683
85781 129266
122431 179332
162416 44814
24405 42267
154161 12483
178049 159964
67625 152391
133072 25866
178005 14695
94384 170290
54701 40323
66280 128515
159022 55057
14985 12920
182805 40659
173117 67973
99771 26102
198919 94543
23608 187601
61125 5759
89437 47647
18142 192402...

output:

175810 46532 145940

result:

ok Accepted!

Test #5:

score: 10
Accepted
time: 726ms
memory: 47028kb

input:

200000
195072 75458
31991 127114
60943 49502
186375 1130
45394 147217
168455 84307
132752 188952
101108 130004
107490 22003
16275 187645
111002 42669
138880 137115
112688 172751
81697 99037
166996 18495
2234 56119
170807 101349
105736 23180
148159 40863
136678 11849
190707 91245
61779 120740
157115 ...

output:

180520 9346 135354
158646 80535 198034
89804 171254 94007
123714 184299 81244
148655 16000 5609
58386 126517 158508
97550 172287 96137
74130 81905 96258
50011 196948 137585
75063 93583 169593

result:

ok Accepted!

Test #6:

score: 10
Accepted
time: 754ms
memory: 46248kb

input:

200000
48556 78408
155026 9376
8983 61211
150393 85068
90892 109283
75746 89742
6760 187245
168658 130735
68602 127646
60802 149828
22898 59471
172845 100274
42303 190696
7612 134905
94702 59800
129633 192496
19903 64869
51318 63358
34692 66030
98535 176606
153647 177529
157903 147292
106273 107278
...

output:

172960 7414 113000
105926 5911 67376
145762 163725 149803
150834 80567 138788
13622 59883 167844
71639 15272 162792
98031 123390 198221
88030 46058 177036
19508 69264 76493
154594 187048 86508

result:

ok Accepted!

Test #7:

score: 0
Time Limit Exceeded

input:

200000
1 2
2 3
3 4
4 5
5 6
6 7
7 8
8 9
9 10
10 11
11 12
12 13
13 14
14 15
15 16
16 17
17 18
18 19
19 20
20 21
21 22
22 23
23 24
24 25
25 26
26 27
27 28
28 29
29 30
30 31
31 32
32 33
33 34
34 35
35 36
36 37
37 38
38 39
39 40
40 41
41 42
42 43
43 44
44 45
45 46
46 47
47 48
48 49
49 50
50 51
51 52
52 5...

output:


result:


Test #8:

score: 0
Time Limit Exceeded

input:

200000
5732 55198
128966 25317
114737 116391
150003 18274
43867 70745
76222 4169
55976 114951
198396 72896
38647 19711
12756 172119
73197 117994
117512 14177
130965 126990
119440 183341
142023 60829
111893 57350
122754 123305
36525 79077
36447 91967
135405 170456
165839 147481
66074 175822
22238 264...

output:

199602 199602 101960
199602 199602 116854
199602 199602 181923
199602 199602 121667
199602 199602 186490
199602 199602 124494
199602 199602 45118
199602 199602 30403
199602 199602 153560
199602 199602 129388
199602 199602 36035
199602 199602 14824
199602 199602 165111
199602 199602 58548
199602 1996...

result:


Test #9:

score: 0
Time Limit Exceeded

input:

200000
185063 17064
180987 114492
88071 71803
158363 135918
60910 54848
97338 6734
192937 9410
49617 199068
82499 63554
188791 188152
178767 40866
11304 27212
144234 138097
42236 3946
103355 12683
50992 20598
145723 48620
11709 115688
123172 121379
70541 130844
147827 39431
139372 61280
42705 54015
...

output:


result:


Test #10:

score: 0
Time Limit Exceeded

input:

200000
197244 185999
18639 124754
154223 12099
53676 167616
22710 22294
150412 66132
19320 75478
170410 122661
130961 175554
171586 85572
188386 81238
120249 117687
43214 126266
8744 165654
164725 189519
124144 170329
86605 100197
130545 17030
113301 96665
67733 187286
37846 146399
75352 117550
3235...

output:


result: