oj.uz

Submission #122241

# Submission time Handle Problem Language Result Execution time Memory
122241 2019-06-27T23:24:07 Z duality Designated Cities (JOI19_designated_cities) C++11
100 / 100
 694 ms 56992 KB 
#define DEBUG 0

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------

struct edge { int v,c,d; };
vector<edge> adjList[200000];
LLI ss[200000],hh[200000];
int doDFS(int u,int p) {
    int i;
    ss[u] = 0;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i].v;
        if (v != p) {
            doDFS(v,u);
            ss[u] += ss[v]+adjList[u][i].d;
            hh[u] = max(hh[u],hh[v]+adjList[u][i].c);
        }
    }
    return 0;
}
int doDFS2(int u,int p,LLI d,LLI h) {
    int i;
    ss[u] += d;
    LLI m1 = 0,m2 = 0,mi = -1;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i].v;
        if (v != p) {
            LLI hhh = hh[v]+adjList[u][i].c;
            if (hhh > m1) m2 = m1,m1 = hhh,mi = v;
            else if (hhh > m2) m2 = hhh;
        }
    }
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i].v;
        if (v != p) {
            if (v != mi) doDFS2(v,u,ss[u]-ss[v]-adjList[u][i].d+adjList[u][i].c,max(h,m1)+adjList[u][i].d);
            else doDFS2(v,u,ss[u]-ss[v]-adjList[u][i].d+adjList[u][i].c,max(h,m2)+adjList[u][i].d);
        }
    }
    hh[u] = max(hh[u],h);
    return 0;
}
LLI ans[200001];
int parent[200000],pw[200000],disc[200000],fin[200000],inv[200000],num = 0;
LLI pp[200000],sum2 = 0;
int done[200000];
int doDFS3(int u,int p,LLI d) {
    int i;
    parent[u] = p,pp[u] = d,disc[u] = num++,inv[num-1] = u;
    for (i = 0; i < adjList[u].size(); i++) {
        int v = adjList[u][i].v;
        if (v != p) pw[v] = adjList[u][i].c,doDFS3(v,u,d+adjList[u][i].c),sum2 += adjList[u][i].d;
    }
    fin[u] = num;
    return 0;
}
LLI tree[1 << 19],lazy[1 << 19];
int pos[1 << 19];
int prop(int s,int e,int i) {
    tree[i] += lazy[i];
    if (s != e) lazy[2*i+1] += lazy[i],lazy[2*i+2] += lazy[i];
    lazy[i] = 0;
    return 0;
}
LLI build(int s,int e,int i) {
    if (s == e) {
        tree[i] = pp[inv[s]],lazy[i] = 0,pos[i] = s;
        return tree[i];
    }

    int mid = (s+e) / 2;
    tree[i] = max(build(s,mid,2*i+1),build(mid+1,e,2*i+2)),lazy[i] = 0;
    if (tree[2*i+1] > tree[2*i+2]) pos[i] = pos[2*i+1];
    else pos[i] = pos[2*i+2];
    return tree[i];
}
LLI update(int s,int e,int as,int ae,int i,LLI num) {
    prop(s,e,i);
    if ((s > ae) || (e < as)) return tree[i];
    else if ((s >= as) && (e <= ae)) {
        lazy[i] += num;
        prop(s,e,i);
        return tree[i];
    }

    int mid = (s+e) / 2;
    tree[i] = max(update(s,mid,as,ae,2*i+1,num),update(mid+1,e,as,ae,2*i+2,num));
    if (tree[2*i+1] > tree[2*i+2]) pos[i] = pos[2*i+1];
    else pos[i] = pos[2*i+2];
    return tree[i];
}
int main() {
    int i;
    int N,Q;
    int A,B,C,D;
    LLI sum = 0;
    scanf("%d",&N);
    for (i = 0; i < N-1; i++) {
        scanf("%d %d %d %d",&A,&B,&C,&D);
        A--,B--;
        adjList[A].pb((edge){B,C,D});
        adjList[B].pb((edge){A,D,C});
        sum += C+D;
    }

    int b = -1;
    doDFS(0,-1);
    doDFS2(0,-1,0,0);
    for (i = 0; i < N; i++) {
        ans[1] = max(ans[1],ss[i]);
        if (ss[i]+hh[i] > ans[2]) ans[2] = ss[i]+hh[i],b = i;
    }
    sum2 = num = 0;
    doDFS3(b,-1,0);
    fill(done,done+N,0);
    build(0,N-1,0);
    for (i = 2; i <= N; i++) {
        prop(0,N-1,0);
        int u = inv[pos[0]];
        sum2 += tree[0];
        ans[i] = max(ans[i],sum2);
        while (!done[u] && (u != b)) {
            update(0,N-1,disc[u],fin[u]-1,0,-pw[u]);
            done[u] = 1,u = parent[u];
        }
    }

    int E;
    scanf("%d",&Q);
    for (i = 0; i < Q; i++) {
        scanf("%d",&E);
        printf("%lld\n",sum-ans[E]);
    }

    return 0;
}

Compilation message

designated_cities.cpp: In function 'int doDFS(int, int)':
designated_cities.cpp:64:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
designated_cities.cpp: In function 'int doDFS2(int, int, LLI, LLI)':
designated_cities.cpp:78:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
designated_cities.cpp:86:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
designated_cities.cpp: In function 'int doDFS3(int, int, LLI)':
designated_cities.cpp:103:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < adjList[u].size(); i++) {
                 ~~^~~~~~~~~~~~~~~~~~~
designated_cities.cpp: In function 'int main()':
designated_cities.cpp:150:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&N);
     ~~~~~^~~~~~~~~
designated_cities.cpp:152:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d %d %d %d",&A,&B,&C,&D);
         ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
designated_cities.cpp:182:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&Q);
     ~~~~~^~~~~~~~~
designated_cities.cpp:184:14: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
         scanf("%d",&E);
         ~~~~~^~~~~~~~~

Subtask #1
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 6 ms 5120 KB Output is correct
3 Correct 6 ms 5120 KB Output is correct
4 Correct 6 ms 5120 KB Output is correct
5 Correct 6 ms 5120 KB Output is correct
6 Correct 6 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 5 ms 5120 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 6 ms 5120 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 514 ms 40828 KB Output is correct
3 Correct 532 ms 54620 KB Output is correct
4 Correct 488 ms 39544 KB Output is correct
5 Correct 559 ms 40960 KB Output is correct
6 Correct 592 ms 43000 KB Output is correct
7 Correct 473 ms 40772 KB Output is correct
8 Correct 590 ms 54944 KB Output is correct
9 Correct 443 ms 41504 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 549 ms 40884 KB Output is correct
3 Correct 507 ms 56736 KB Output is correct
4 Correct 446 ms 39672 KB Output is correct
5 Correct 509 ms 40880 KB Output is correct
6 Correct 563 ms 43512 KB Output is correct
7 Correct 428 ms 40996 KB Output is correct
8 Correct 583 ms 50324 KB Output is correct
9 Correct 454 ms 41112 KB Output is correct

Subtask #4
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 6 ms 5120 KB Output is correct
3 Correct 6 ms 5120 KB Output is correct
4 Correct 6 ms 5120 KB Output is correct
5 Correct 6 ms 5120 KB Output is correct
6 Correct 6 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 5 ms 5120 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 6 ms 5120 KB Output is correct
12 Correct 5 ms 5120 KB Output is correct
13 Correct 8 ms 5504 KB Output is correct
14 Correct 9 ms 5632 KB Output is correct
15 Correct 8 ms 5504 KB Output is correct
16 Correct 9 ms 5504 KB Output is correct
17 Correct 9 ms 5504 KB Output is correct
18 Correct 8 ms 5504 KB Output is correct
19 Correct 8 ms 5504 KB Output is correct
20 Correct 8 ms 5504 KB Output is correct
21 Correct 9 ms 5504 KB Output is correct
22 Correct 8 ms 5504 KB Output is correct
23 Correct 8 ms 5504 KB Output is correct
24 Correct 9 ms 5504 KB Output is correct
25 Correct 9 ms 5632 KB Output is correct
26 Correct 9 ms 5504 KB Output is correct

Subtask #5
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 514 ms 40828 KB Output is correct
3 Correct 532 ms 54620 KB Output is correct
4 Correct 488 ms 39544 KB Output is correct
5 Correct 559 ms 40960 KB Output is correct
6 Correct 592 ms 43000 KB Output is correct
7 Correct 473 ms 40772 KB Output is correct
8 Correct 590 ms 54944 KB Output is correct
9 Correct 443 ms 41504 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 549 ms 40884 KB Output is correct
12 Correct 507 ms 56736 KB Output is correct
13 Correct 446 ms 39672 KB Output is correct
14 Correct 509 ms 40880 KB Output is correct
15 Correct 563 ms 43512 KB Output is correct
16 Correct 428 ms 40996 KB Output is correct
17 Correct 583 ms 50324 KB Output is correct
18 Correct 454 ms 41112 KB Output is correct
19 Correct 6 ms 5120 KB Output is correct
20 Correct 556 ms 40944 KB Output is correct
21 Correct 520 ms 56992 KB Output is correct
22 Correct 502 ms 39604 KB Output is correct
23 Correct 531 ms 40952 KB Output is correct
24 Correct 566 ms 39800 KB Output is correct
25 Correct 567 ms 40848 KB Output is correct
26 Correct 577 ms 39928 KB Output is correct
27 Correct 572 ms 40884 KB Output is correct
28 Correct 569 ms 43000 KB Output is correct
29 Correct 562 ms 40952 KB Output is correct
30 Correct 540 ms 40080 KB Output is correct
31 Correct 508 ms 40900 KB Output is correct
32 Correct 634 ms 50936 KB Output is correct
33 Correct 472 ms 41528 KB Output is correct

Subtask #6
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 5120 KB Output is correct
2 Correct 6 ms 5120 KB Output is correct
3 Correct 6 ms 5120 KB Output is correct
4 Correct 6 ms 5120 KB Output is correct
5 Correct 6 ms 5120 KB Output is correct
6 Correct 6 ms 5120 KB Output is correct
7 Correct 7 ms 5120 KB Output is correct
8 Correct 7 ms 5120 KB Output is correct
9 Correct 5 ms 5120 KB Output is correct
10 Correct 6 ms 5120 KB Output is correct
11 Correct 6 ms 5120 KB Output is correct
12 Correct 6 ms 5120 KB Output is correct
13 Correct 514 ms 40828 KB Output is correct
14 Correct 532 ms 54620 KB Output is correct
15 Correct 488 ms 39544 KB Output is correct
16 Correct 559 ms 40960 KB Output is correct
17 Correct 592 ms 43000 KB Output is correct
18 Correct 473 ms 40772 KB Output is correct
19 Correct 590 ms 54944 KB Output is correct
20 Correct 443 ms 41504 KB Output is correct
21 Correct 6 ms 5120 KB Output is correct
22 Correct 549 ms 40884 KB Output is correct
23 Correct 507 ms 56736 KB Output is correct
24 Correct 446 ms 39672 KB Output is correct
25 Correct 509 ms 40880 KB Output is correct
26 Correct 563 ms 43512 KB Output is correct
27 Correct 428 ms 40996 KB Output is correct
28 Correct 583 ms 50324 KB Output is correct
29 Correct 454 ms 41112 KB Output is correct
30 Correct 5 ms 5120 KB Output is correct
31 Correct 8 ms 5504 KB Output is correct
32 Correct 9 ms 5632 KB Output is correct
33 Correct 8 ms 5504 KB Output is correct
34 Correct 9 ms 5504 KB Output is correct
35 Correct 9 ms 5504 KB Output is correct
36 Correct 8 ms 5504 KB Output is correct
37 Correct 8 ms 5504 KB Output is correct
38 Correct 8 ms 5504 KB Output is correct
39 Correct 9 ms 5504 KB Output is correct
40 Correct 8 ms 5504 KB Output is correct
41 Correct 8 ms 5504 KB Output is correct
42 Correct 9 ms 5504 KB Output is correct
43 Correct 9 ms 5632 KB Output is correct
44 Correct 9 ms 5504 KB Output is correct
45 Correct 6 ms 5120 KB Output is correct
46 Correct 556 ms 40944 KB Output is correct
47 Correct 520 ms 56992 KB Output is correct
48 Correct 502 ms 39604 KB Output is correct
49 Correct 531 ms 40952 KB Output is correct
50 Correct 566 ms 39800 KB Output is correct
51 Correct 567 ms 40848 KB Output is correct
52 Correct 577 ms 39928 KB Output is correct
53 Correct 572 ms 40884 KB Output is correct
54 Correct 569 ms 43000 KB Output is correct
55 Correct 562 ms 40952 KB Output is correct
56 Correct 540 ms 40080 KB Output is correct
57 Correct 508 ms 40900 KB Output is correct
58 Correct 634 ms 50936 KB Output is correct
59 Correct 472 ms 41528 KB Output is correct
60 Correct 6 ms 5120 KB Output is correct
61 Correct 655 ms 43580 KB Output is correct
62 Correct 597 ms 56288 KB Output is correct
63 Correct 513 ms 42232 KB Output is correct
64 Correct 576 ms 43640 KB Output is correct
65 Correct 576 ms 42360 KB Output is correct
66 Correct 620 ms 43524 KB Output is correct
67 Correct 567 ms 42292 KB Output is correct
68 Correct 564 ms 43700 KB Output is correct
69 Correct 591 ms 45628 KB Output is correct
70 Correct 573 ms 43396 KB Output is correct
71 Correct 694 ms 42780 KB Output is correct
72 Correct 501 ms 44332 KB Output is correct
73 Correct 623 ms 52984 KB Output is correct
74 Correct 482 ms 45540 KB Output is correct