QOJ.ac

QOJ

ID题目提交者结果用时内存语言文件大小提交时间测评时间
#175671#6570. Who Watches the Watchmen?SolitaryDream#AC ✓512ms6188kbC++146.4kb2023-09-10 21:17:432023-09-10 21:17:44

Judging History

你现在查看的是最新测评结果

  • [2023-09-10 21:17:44]
  • 评测
  • 测评结果:AC
  • 用时:512ms
  • 内存:6188kb
  • [2023-09-10 21:17:43]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 505;
struct P3 {
    int x, y, z;
};
inline int Dot(P3 u, P3 v) {
    return u.x * v.x + u.y * v.y + u.z * v.z;
}
inline __int128 Sqr128(__int128 x) {
    return x * x;
}
inline __int128 Dot128(P3 u, P3 v) {
    return (__int128)u.x * v.x + (__int128)u.y * v.y + (__int128)u.z * v.z;
}
inline P3 Det(P3 u, P3 v) {
    return {u.y * v.z - u.z * v.y,
            u.z * v.x - u.x * v.z,
            u.x * v.y - u.y * v.x};
}
inline P3 operator-(P3 u, P3 v) { return {u.x - v.x, u.y - v.y, u.z - v.z}; }
inline P3 operator+(P3 u, P3 v) { return {u.x + v.x, u.y + v.y, u.z + v.z}; }
inline P3 Neg(P3 u) { return {-u.x, -u.y, -u.z}; }
inline int Len2(P3 u) { return Dot(u, u); }
struct Ray {
    P3 o;
    P3 d;
};
inline bool PointOnRay(P3 a, Ray r) {
    __int128 len2 = Dot(a - r.o, r.d);
    if (len2 < 0) return 0;
    len2 *= len2;
    return len2 == (__int128)Len2(a - r.o) * Len2(r.d);
}
inline bool PointOnSeg(P3 a, P3 u, P3 v) {
    return PointOnRay(a, {u, v - u}) && PointOnRay(a, {v, u - v});
}
namespace KM {
    const int NOT = -1e9;
    const int INF = 1e9;
    int lk[N], pre[N], lx[N], ly[N], slk[N];
    int w[N][N], ans;
    bool vy[N];
    inline void Solve(vector<Ray> pts) {
        int n = pts.size();
        pts.insert(pts.begin(), Ray());
        for (int i = 0; i <= n; ++i)
            for (int j = 0; j <= n; ++j)
                w[i][j] = NOT;
        for (int i = 1; i <= n; ++i) 
            for (int j = 1; j <= n; ++j) if (i != j) {
                int valid = 1;
                for (int k = 1; k <= n; ++k) if (k != i && k != j) {
                    if (PointOnSeg(pts[k].o, pts[i].o, pts[j].o)) { valid = 0; break; }
                }
                if (valid) {
                    int cost = -1;
                    if (PointOnRay(pts[j].o, pts[i])) cost = 0;
                    w[i][j] = cost;
                }
            }
        for (int i = 1; i <= n; ++i)
            for (int j = 1; j <= n; ++j)
                lx[i] = max(lx[i], w[i][j]);
        int py, p, d, x, y;
        for (int i = 1; i <= n;++i) {
            for (int j = 1; j <= n; ++j) slk[j] = INF, vy[j] = 0;
            for (lk[py = 0] = i; lk[py]; py = p) {
                vy[py] = 1; d = INF; x = lk[py];
                for (y = 1; y <= n; ++y) if (!vy[y]) {
                    if (lx[x] + ly[y] - w[x][y] < slk[y]) slk[y] = lx[x] + ly[y] - w[x][y], pre[y] = py;
                    if (slk[y] < d) d = slk[y], p = y;
                }
                for (y = 0; y <= n; ++y) if (vy[y]) lx[lk[y]] -= d, ly[y] += d; else slk[y] -= d;
            }
            for (; py; py = pre[py]) lk[py] = lk[pre[py]];
        }
        int ans = 0;
        for (int i = 1; i <= n; ++i) {
            ans += lx[i] + ly[i];
            if (w[lk[i]][i] == NOT) ans -= NOT;
        }
        printf("%lld\n", -ans);
    }
}
bool SameLine(P3 u, P3 v) {
    return (Sqr128(Dot(u, v)) == (__int128)Len2(u) * Len2(v));
}
inline bool Check(P3 a, P3 b, P3 c) {
    if (SameLine(b, c)) return 0;
    P3 ab = Det(a, b);
    P3 bc = Det(b, c);
    P3 ca = Det(c, a);
    if (Dot(ab, c) != 0) return 0;
    return Dot128(ab, bc) >= 0 && Dot128(bc, ca) >= 0;
}
inline void BF(vector<Ray> pts, P3 dir) {
    int n = pts.size();
    pts.insert(pts.begin(), Ray());
    int ans = 1e9;
    for (int del = 1; del <= n; ++del) {
        Ray ip = pts[del];
        pts.erase(pts.begin() + del);
        vector<int> pre(n + 2), suf(n + 2), R(n + 2), L(n + 2); 
        for (int i = 2; i < n; i += 2) {
            pre[i] += 1 - PointOnRay(pts[i - 1].o, pts[i]);
            pre[i] += 1 - PointOnRay(pts[i].o, pts[i - 1]);
            pre[i] += pre[i - 2];
        }
        for (int i = n - 2; i >= 1; i -= 2) {
            suf[i] += 1 - PointOnRay(pts[i + 1].o, pts[i]);
            suf[i] += 1 - PointOnRay(pts[i].o, pts[i + 1]);
            suf[i] += suf[i + 2];
        }
        for (int i = 1; i < n; ++i) {
            R[i] = R[i - 1] + 1 - PointOnRay(pts[i + 1].o, pts[i]);
        }
        for (int i = n - 1; i; --i) {
            L[i] = L[i + 1] + 1 - PointOnRay(pts[i - 1].o, pts[i]);
        }
        for (int i = 1; i < n; i += 2)
            for (int j = n - 1; j >= i; j -= 2) {
                int cur = pre[i - 1] + suf[j + 1];
                // all direct right 
                {
                    int val = cur + R[j - 1] - R[i - 1];
                    bool p1 = SameLine(pts[j].d, dir), p2 = SameLine(ip.d, dir);
                    // printf("%lld\n", val);
                    if (p1 && p2) { val += 2; }
                    else if (!p1 && !p2) { val += 1 - Check(dir, pts[j].d, ip.d); }
                    else val += 1;
                    // printf("Right %lld %lld %lld   %lld (%d %d)\n", del, i, j, val, p1, p2);
                    ans = min(ans, val);
                }
                {
                    int val = cur + L[i + 1] - L[j + 1];
                    bool p1 = SameLine(pts[i].d, dir), p2 = SameLine(ip.d, dir);
                    if (p1 && p2) { val += 2; }
                    else if (!p1 && !p2) { val += 1 - Check(Neg(dir), pts[i].d, ip.d); }
                    else val += 1;
                    // printf("Left %lld %lld %lld   %lld (%d %d)\n", del, i, j, val, p1, p2);
                    ans = min(ans, val);
                }
            }
        pts.insert(pts.begin() + del, ip);
    }
    printf("%lld\n", 1000 + ans);
}
signed main() {
    int n;
    scanf("%lld", &n);
    vector<Ray> pts(n);
    for (int i = 0; i < n; ++i) {
        scanf("%lld%lld%lld", &pts[i].o.x, &pts[i].o.y, &pts[i].o.z);
        scanf("%lld%lld%lld", &pts[i].d.x, &pts[i].d.y, &pts[i].d.z);
    }
    if (n == 1) { puts("-1"); return 0; }
    P3 dir = pts[1].o - pts[0].o, ori = pts[0].o;
    sort(pts.begin(), pts.end(), [&](Ray u, Ray v) {
        return Dot(u.o - ori, dir) < Dot(v.o - ori, dir);
    });
    ori = pts[0].o;
    bool same_line = 1;
    for (int i = 1; i < n; ++i) if (!PointOnRay(pts[i].o, {ori, dir})) { same_line = 0; break; }
    if (same_line && (n & 1)) {
        // need 1000
        // puts("Spe!");
        BF(pts, dir);
    } else {
        // no need 1000
        KM::Solve(pts);
    }
    return 0;
}
/*
4
0 0 0  0  1 0
0 1 0  0  0 1
0 1 1  0  -1 0
0 0 1  0  0 -1

3
0 0 0 0 1 0
0 0 1 0 -1 0
0 0 2 0 1 1
*/

详细

Test #1:

score: 100
Accepted
time: 2ms
memory: 4116kb

input:

7
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 1 0 0
5 0 0 1 0 0
6 0 0 -1 0 0

output:

1002

result:

ok single line: '1002'

Test #2:

score: 0
Accepted
time: 2ms
memory: 3932kb

input:

4
66 45 10 73 39 36
95 14 26 47 84 59
14 66 89 89 36 78
16 27 94 79 24 24

output:

4

result:

ok single line: '4'

Test #3:

score: 0
Accepted
time: 2ms
memory: 4112kb

input:

3
0 0 0 1 0 0
1 1 1 1 0 0
2 2 2 1 0 0

output:

1002

result:

ok single line: '1002'

Test #4:

score: 0
Accepted
time: 2ms
memory: 4108kb

input:

3
0 0 0 1 1 1
1 1 1 1 0 0
2 2 2 1 0 0

output:

1001

result:

ok single line: '1001'

Test #5:

score: 0
Accepted
time: 2ms
memory: 3836kb

input:

3
0 0 0 1 0 0
1 1 1 1 0 0
2 2 2 -1 -1 -1

output:

1001

result:

ok single line: '1001'

Test #6:

score: 0
Accepted
time: 1ms
memory: 3884kb

input:

3
0 0 0 1 0 0
1 1 1 1 2 2
2 2 2 -1 -1 -1

output:

1000

result:

ok single line: '1000'

Test #7:

score: 0
Accepted
time: 2ms
memory: 3764kb

input:

3
0 0 0 1 0 0
1 1 1 1 2 2
2 2 2 1 1 1

output:

1001

result:

ok single line: '1001'

Test #8:

score: 0
Accepted
time: 0ms
memory: 3952kb

input:

1
0 0 0 3 1 4

output:

-1

result:

ok single line: '-1'

Test #9:

score: 0
Accepted
time: 2ms
memory: 3920kb

input:

4
0 0 0 1 1 1
1 0 0 -1 0 0
1 1 1 0 -1 0
1 0 1 0 1 0

output:

1

result:

ok single line: '1'

Test #10:

score: 0
Accepted
time: 119ms
memory: 6184kb

input:

500
0 0 0 1 0 0
1 0 0 1 0 0
2 0 0 -1 0 0
3 0 0 1 0 0
4 0 0 1 0 0
5 0 0 1 0 0
6 0 0 1 0 0
7 0 0 1 0 0
8 0 0 1 0 0
9 0 0 1 0 0
10 0 0 -1 0 0
11 0 0 -1 0 0
12 0 0 1 0 0
13 0 0 -1 0 0
14 0 0 1 0 0
15 0 0 1 0 0
16 0 0 1 0 0
17 0 0 -1 0 0
18 0 0 -1 0 0
19 0 0 -1 0 0
20 0 0 -1 0 0
21 0 0 1 0 0
22 0 0 1 0 0...

output:

250

result:

ok single line: '250'

Test #11:

score: 0
Accepted
time: 118ms
memory: 5892kb

input:

500
0 0 0 0 1 0
0 1 0 0 1 0
0 2 0 0 -1 0
0 3 0 0 1 0
0 4 0 0 1 0
0 5 0 0 1 0
0 6 0 0 1 0
0 7 0 0 1 0
0 8 0 0 1 0
0 9 0 0 1 0
0 10 0 0 -1 0
0 11 0 0 -1 0
0 12 0 0 1 0
0 13 0 0 -1 0
0 14 0 0 1 0
0 15 0 0 1 0
0 16 0 0 1 0
0 17 0 0 -1 0
0 18 0 0 -1 0
0 19 0 0 -1 0
0 20 0 0 -1 0
0 21 0 0 1 0
0 22 0 0 1 0...

output:

250

result:

ok single line: '250'

Test #12:

score: 0
Accepted
time: 118ms
memory: 5900kb

input:

500
0 0 0 0 0 1
0 0 1 0 0 1
0 0 2 0 0 -1
0 0 3 0 0 1
0 0 4 0 0 1
0 0 5 0 0 1
0 0 6 0 0 1
0 0 7 0 0 1
0 0 8 0 0 1
0 0 9 0 0 1
0 0 10 0 0 -1
0 0 11 0 0 -1
0 0 12 0 0 1
0 0 13 0 0 -1
0 0 14 0 0 1
0 0 15 0 0 1
0 0 16 0 0 1
0 0 17 0 0 -1
0 0 18 0 0 -1
0 0 19 0 0 -1
0 0 20 0 0 -1
0 0 21 0 0 1
0 0 22 0 0 1...

output:

250

result:

ok single line: '250'

Test #13:

score: 0
Accepted
time: 1ms
memory: 4076kb

input:

5
1 0 0 1 -1 0
2 0 0 0 1 0
3 0 0 -1 0 0
4 0 0 -1 0 0
5 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #14:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

5
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 0 1 0
5 0 0 -1 -1 0

output:

1000

result:

ok single line: '1000'

Test #15:

score: 0
Accepted
time: 1ms
memory: 4160kb

input:

6
0 1 0 1 0 0
0 2 0 0 2 0
0 3 0 0 3 0
0 4 0 0 4 0
0 5 0 0 5 0
0 6 0 0 6 0

output:

4

result:

ok single line: '4'

Test #16:

score: 0
Accepted
time: 0ms
memory: 3956kb

input:

9
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
0 1 0 0 1 0
0 2 0 0 1 0
0 3 0 0 1 0
0 0 1 0 0 1
0 0 2 0 0 1
0 0 3 0 0 1

output:

3

result:

ok single line: '3'

Test #17:

score: 0
Accepted
time: 60ms
memory: 4176kb

input:

499
0 0 0 1 0 0
1 0 0 1 0 0
2 0 0 -1 0 0
3 0 0 1 0 0
4 0 0 1 0 0
5 0 0 1 0 0
6 0 0 1 0 0
7 0 0 1 0 0
8 0 0 1 0 0
9 0 0 1 0 0
10 0 0 -1 0 0
11 0 0 -1 0 0
12 0 0 1 0 0
13 0 0 -1 0 0
14 0 0 1 0 0
15 0 0 1 0 0
16 0 0 1 0 0
17 0 0 -1 0 0
18 0 0 -1 0 0
19 0 0 -1 0 0
20 0 0 -1 0 0
21 0 0 1 0 0
22 0 0 1 0 0...

output:

1220

result:

ok single line: '1220'

Test #18:

score: 0
Accepted
time: 64ms
memory: 3892kb

input:

499
0 0 0 0 1 0
0 1 0 0 1 0
0 2 0 0 -1 0
0 3 0 0 1 0
0 4 0 0 1 0
0 5 0 0 1 0
0 6 0 0 1 0
0 7 0 0 1 0
0 8 0 0 1 0
0 9 0 0 1 0
0 10 0 0 -1 0
0 11 0 0 -1 0
0 12 0 0 1 0
0 13 0 0 -1 0
0 14 0 0 1 0
0 15 0 0 1 0
0 16 0 0 1 0
0 17 0 0 -1 0
0 18 0 0 -1 0
0 19 0 0 -1 0
0 20 0 0 -1 0
0 21 0 0 1 0
0 22 0 0 1 0...

output:

1220

result:

ok single line: '1220'

Test #19:

score: 0
Accepted
time: 65ms
memory: 3884kb

input:

499
0 0 0 0 0 1
0 0 1 0 0 1
0 0 2 0 0 -1
0 0 3 0 0 1
0 0 4 0 0 1
0 0 5 0 0 1
0 0 6 0 0 1
0 0 7 0 0 1
0 0 8 0 0 1
0 0 9 0 0 1
0 0 10 0 0 -1
0 0 11 0 0 -1
0 0 12 0 0 1
0 0 13 0 0 -1
0 0 14 0 0 1
0 0 15 0 0 1
0 0 16 0 0 1
0 0 17 0 0 -1
0 0 18 0 0 -1
0 0 19 0 0 -1
0 0 20 0 0 -1
0 0 21 0 0 1
0 0 22 0 0 1...

output:

1220

result:

ok single line: '1220'

Test #20:

score: 0
Accepted
time: 1ms
memory: 3764kb

input:

5
0 0 0 0 -1 0
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 1 0 0

output:

1001

result:

ok single line: '1001'

Test #21:

score: 0
Accepted
time: 0ms
memory: 3884kb

input:

5
0 0 0 1 0 0
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 0 1 0

output:

1001

result:

ok single line: '1001'

Test #22:

score: 0
Accepted
time: 1ms
memory: 3832kb

input:

5
0 0 0 1 0 0
1 0 0 1 0 0
2 0 0 0 -1 0
3 0 0 1 0 0
4 0 0 -1 0 0

output:

1001

result:

ok single line: '1001'

Test #23:

score: 0
Accepted
time: 1ms
memory: 3884kb

input:

5
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 0 -1 0
4 0 0 1 0 0

output:

1001

result:

ok single line: '1001'

Test #24:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

5
0 0 0 1 1 0
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 -1 -1 0

output:

1001

result:

ok single line: '1001'

Test #25:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

5
0 0 0 1 1 0
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 1 1 0

output:

1001

result:

ok single line: '1001'

Test #26:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

5
0 0 0 5 -1 0
1 0 0 1 0 0
2 0 0 1 0 0
3 0 0 1 0 0
4 0 0 1 -1 0

output:

1001

result:

ok single line: '1001'

Test #27:

score: 0
Accepted
time: 1ms
memory: 3964kb

input:

17
0 0 0 0 0 1
0 1 0 0 0 1
0 2 0 0 0 1
0 3 0 0 0 1
0 4 0 0 0 1
0 -1 0 0 0 1
0 -2 0 0 0 1
0 -3 0 0 0 1
0 -4 0 0 0 1
1 3 0 0 0 1
2 3 0 0 0 1
-1 3 0 0 0 1
-2 3 0 0 0 1
1 -3 0 0 0 1
2 -3 0 0 0 1
-1 -3 0 0 0 1
-2 -3 0 0 0 1

output:

17

result:

ok single line: '17'

Test #28:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

17
0 0 0 0 4 0
0 1 0 0 -1 0
0 2 0 0 -2 0
0 3 0 0 -3 0
0 4 0 0 -4 0
0 -1 0 0 1 0
0 -2 0 0 2 0
0 -3 0 0 3 0
0 -4 0 0 4 0
1 3 0 -1 -3 0
2 3 0 -1 -2 0
-1 3 0 1 -3 0
-2 3 0 2 -3 0
1 -3 0 -1 3 0
2 -3 0 -2 3 0
-1 -3 0 1 3 0
-2 -3 0 2 3 0

output:

10

result:

ok single line: '10'

Test #29:

score: 0
Accepted
time: 1ms
memory: 3908kb

input:

17
0 0 0 0 1 0
0 1 0 0 1 0
0 2 0 0 1 0
0 3 0 0 1 0
0 4 0 2 -1 0
0 -1 0 0 1 0
0 -2 0 0 1 0
0 -3 0 0 1 0
0 -4 0 0 1 0
1 3 0 -1 0 0
2 3 0 -1 0 0
-1 3 0 -1 0 0
-2 3 0 4 -6 0
1 -3 0 -1 0 0
2 -3 0 -1 0 0
-1 -3 0 -1 0 0
-2 -3 0 2 -1 0

output:

3

result:

ok single line: '3'

Test #30:

score: 0
Accepted
time: 0ms
memory: 4108kb

input:

5
0 0 0 1 1 1
0 0 1 0 0 1
0 0 2 0 0 1
0 0 3 0 0 1
0 0 4 0 -1 1

output:

1001

result:

ok single line: '1001'

Test #31:

score: 0
Accepted
time: 505ms
memory: 5920kb

input:

500
-455212 958307 274912 -88656 390687 881409
-498879 -623821 322766 -916023 347922 541726
-594515 -554311 -413504 -881701 -506880 -144667
658945 -503396 791805 314816 -830920 -769486
-200847 845218 468338 -166468 -49854 -287877
-820402 914874 916800 258029 -210000 -296727
702016 -389491 -31529 -52...

output:

499

result:

ok single line: '499'

Test #32:

score: 0
Accepted
time: 1ms
memory: 3800kb

input:

3
1000000 -1 -1 -1000000 -999999 -999999
-1 1000000 -1 101 -101 0
100 999899 -1 999999 1000000 999999

output:

1000

result:

ok single line: '1000'

Test #33:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

3
1000000 -1 -1 1000000 999999 999999
-1 1000000 -1 101 -101 0
100 999899 -1 999999 1000000 999999

output:

1001

result:

ok single line: '1001'

Test #34:

score: 0
Accepted
time: 1ms
memory: 3824kb

input:

3
1000000 -1 -1 -1000000 -999999 -999999
-1 1000000 -1 101 -101 0
100 999899 -1 -999999 -1000000 -999999

output:

1001

result:

ok single line: '1001'

Test #35:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

3
1000000 -1 -1 1000000 999999 999999
-1 1000000 -1 101 -101 0
100 999899 -1 -999999 -1000000 -999999

output:

1001

result:

ok single line: '1001'

Test #36:

score: 0
Accepted
time: 1ms
memory: 3764kb

input:

3
10 -1 -1 -10 -9 -9
-1 10 -1 11 -11 0
21 -12 -1 9 10 9

output:

1000

result:

ok single line: '1000'

Test #37:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

7
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 0 -1 0
3 0 0 1 0 0
4 0 0 -1 1 0
5 0 0 1 0 0
6 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #38:

score: 0
Accepted
time: 0ms
memory: 3824kb

input:

7
0 0 0 1 0 0
1 0 0 0 -1 0
2 0 0 -1 0 0
3 0 0 1 0 0
4 0 0 -1 1 0
5 0 0 1 0 0
6 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #39:

score: 0
Accepted
time: 1ms
memory: 3760kb

input:

7
0 0 0 0 -1 0
1 0 0 1 0 0
2 0 0 -1 0 0
3 0 0 1 0 0
4 0 0 -1 1 0
5 0 0 1 0 0
6 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #40:

score: 0
Accepted
time: 1ms
memory: 4112kb

input:

7
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 1 0
4 0 0 0 -1 0
5 0 0 1 0 0
6 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #41:

score: 0
Accepted
time: 1ms
memory: 4112kb

input:

7
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 1 0
4 0 0 1 0 0
5 0 0 0 -1 0
6 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #42:

score: 0
Accepted
time: 1ms
memory: 3884kb

input:

7
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 1 0
4 0 0 1 0 0
5 0 0 -1 0 0
6 0 0 0 -1 0

output:

1000

result:

ok single line: '1000'

Test #43:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 0 1 0
5 0 0 1 -1 0
6 0 0 -1 0 0
7 0 0 -1 0 0
8 0 0 -1 0 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #44:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 1 -1 0
5 0 0 0 1 0
6 0 0 -1 0 0
7 0 0 -1 0 0
8 0 0 -1 0 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #45:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 0 1 0
5 0 0 -1 0 0
6 0 0 1 -1 0
7 0 0 -1 0 0
8 0 0 -1 0 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #46:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 0 1 0
5 0 0 -1 0 0
6 0 0 -1 0 0
7 0 0 1 -1 0
8 0 0 -1 0 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #47:

score: 0
Accepted
time: 1ms
memory: 3812kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 -1 -1 0
5 0 0 1 0 0
6 0 0 1 0 0
7 0 0 1 0 0
8 0 0 0 1 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #48:

score: 0
Accepted
time: 0ms
memory: 3816kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 1 0 0
5 0 0 -1 -1 0
6 0 0 1 0 0
7 0 0 1 0 0
8 0 0 0 1 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #49:

score: 0
Accepted
time: 1ms
memory: 3820kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 1 0 0
5 0 0 1 0 0
6 0 0 -1 -1 0
7 0 0 1 0 0
8 0 0 0 1 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #50:

score: 0
Accepted
time: 1ms
memory: 3852kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 1 0 0
5 0 0 1 0 0
6 0 0 1 0 0
7 0 0 -1 -1 0
8 0 0 0 1 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #51:

score: 0
Accepted
time: 1ms
memory: 3816kb

input:

11
0 0 0 1 0 0
1 0 0 -1 0 0
2 0 0 1 0 0
3 0 0 -1 0 0
4 0 0 1 0 0
5 0 0 1 0 0
6 0 0 1 0 0
7 0 0 0 1 0
8 0 0 -1 -1 0
9 0 0 1 0 0
10 0 0 -1 0 0

output:

1000

result:

ok single line: '1000'

Test #52:

score: 0
Accepted
time: 1ms
memory: 3980kb

input:

27
-1000000 -1000000 -1000000 1000000 0 1000000
-1000000 -1000000 0 -1000000 0 1000000
-1000000 -1000000 1000000 -1000000 0 1000000
-1000000 0 -1000000 1000000 1000000 1000000
-1000000 0 0 0 -1000000 1000000
-1000000 0 1000000 1000000 -1000000 1000000
-1000000 1000000 -1000000 1000000 0 1000000
-100...

output:

17

result:

ok single line: '17'

Test #53:

score: 0
Accepted
time: 115ms
memory: 6180kb

input:

500
-999983 -999981 -999977 17 19 23
-999966 -999962 -999954 17 19 23
-999949 -999943 -999931 17 19 23
-999932 -999924 -999908 17 19 23
-999915 -999905 -999885 17 19 23
-999898 -999886 -999862 17 19 23
-999881 -999867 -999839 17 19 23
-999864 -999848 -999816 17 19 23
-999847 -999829 -999793 17 19 23...

output:

250

result:

ok single line: '250'

Test #54:

score: 0
Accepted
time: 114ms
memory: 5920kb

input:

500
999983 999981 999977 -17 -19 -23
999966 999962 999954 -17 -19 -23
999949 999943 999931 -17 -19 -23
999932 999924 999908 -17 -19 -23
999915 999905 999885 -17 -19 -23
999898 999886 999862 -17 -19 -23
999881 999867 999839 -17 -19 -23
999864 999848 999816 -17 -19 -23
999847 999829 999793 -17 -19 -23...

output:

250

result:

ok single line: '250'

Test #55:

score: 0
Accepted
time: 113ms
memory: 5864kb

input:

500
999686 -999841 999735 -314 159 -265
999372 -999682 999470 -314 159 -265
999058 -999523 999205 314 -159 265
998744 -999364 998940 -314 159 -265
998430 -999205 998675 -314 159 -265
998116 -999046 998410 -314 159 -265
997802 -998887 998145 -314 159 -265
997488 -998728 997880 -314 159 -265
997174 -9...

output:

250

result:

ok single line: '250'

Test #56:

score: 0
Accepted
time: 115ms
memory: 5964kb

input:

500
999900 -999800 999700 -100 200 -300
999800 -999600 999400 -100 200 -300
999700 -999400 999100 100 -200 300
999600 -999200 998800 -100 200 -300
999500 -999000 998500 -100 200 -300
999400 -998800 998200 -100 200 -300
999300 -998600 997900 -100 200 -300
999200 -998400 997600 -100 200 -300
999100 -9...

output:

250

result:

ok single line: '250'

Test #57:

score: 0
Accepted
time: 123ms
memory: 6100kb

input:

480
-2402 3028 3274 23 -29 -31
-79 99 143 23 -29 -31
3854 -4860 -5158 -23 29 31
1370 -1728 -1810 -23 29 31
-4127 5203 5599 23 -29 -31
-5461 6885 7397 23 -29 -31
2382 -3004 -3174 -23 29 31
-1965 2477 2685 23 -29 -31
2888 -3642 -3856 -23 29 31
-3782 4768 5134 23 -29 -31
1899 -2395 -2523 -23 29 31
59 -...

output:

122

result:

ok single line: '122'

Test #58:

score: 0
Accepted
time: 98ms
memory: 5820kb

input:

480
43422 13353 -25668 414 129 -256
1608 324 188 414 129 -256
-69186 -21735 43964 -414 -129 256
-24474 -7803 16316 -414 -129 256
74472 23028 -44868 414 129 -256
98484 30510 -59716 414 129 -256
-42690 -13479 27580 -414 -129 256
35556 10902 -20804 414 129 -256
-51798 -16317 33212 -414 -129 256
68262 2...

output:

123

result:

ok single line: '123'

Test #59:

score: 0
Accepted
time: 8ms
memory: 4568kb

input:

180
375 636 1057 -4 -8 -12
47 -20 73 4 8 12
331 548 925 -4 -8 -12
-29 -172 -155 4 8 12
-153 -420 -527 4 8 12
427 740 1213 -4 -8 -12
-173 -460 -587 4 8 12
-241 -596 -791 4 8 12
179 244 469 -4 -8 -12
159 204 409 -4 -8 -12
-161 -436 -551 4 8 12
399 684 1129 -4 -8 -12
223 332 601 -4 -8 -12
59 4 109 -4 -...

output:

42

result:

ok single line: '42'

Test #60:

score: 0
Accepted
time: 13ms
memory: 5024kb

input:

220
27 -85 15 12 8 4
927 515 315 -12 -8 -4
-93 -165 -25 12 8 4
1083 619 367 -12 -8 -4
39 -77 19 12 8 4
-1281 -957 -421 12 8 4
1143 659 387 -12 -8 -4
183 19 67 -12 -8 -4
1047 595 355 -12 -8 -4
567 275 195 -12 -8 -4
531 251 183 -12 -8 -4
-177 -221 -53 12 8 4
579 283 199 -12 -8 -4
-561 -477 -181 12 8 4...

output:

52

result:

ok single line: '52'

Test #61:

score: 0
Accepted
time: 1ms
memory: 4060kb

input:

60
-171 215 267 23 -29 -31
473 -597 -601 -23 29 31
312 -394 -384 -23 29 31
404 -510 -508 -23 29 31
197 -249 -229 -23 29 31
335 -423 -415 -23 29 31
-654 824 918 23 -29 -31
-493 621 701 23 -29 -31
565 -713 -725 -23 29 31
-217 273 329 23 -29 -31
-631 795 887 23 -29 -31
496 -626 -632 -23 29 31
-447 563 ...

output:

17

result:

ok single line: '17'

Test #62:

score: 0
Accepted
time: 1ms
memory: 3792kb

input:

3
-1 0 0 2 1 0
1 0 0 -2 1 0
3 0 0 -2 -1 0

output:

1001

result:

ok single line: '1001'

Test #63:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

5
0 0 0 0 1 0
10 0 0 -1 1 0
0 10 0 -1 -1 0
-10 0 0 1 -1 0
0 -10 0 1 1 0

output:

1

result:

ok single line: '1'

Test #64:

score: 0
Accepted
time: 1ms
memory: 3856kb

input:

5
0 2 0 0 1 0
10 0 0 -1 1 0
0 10 0 -1 -1 0
-10 0 0 1 -1 0
0 -10 0 1 1 0

output:

1

result:

ok single line: '1'

Test #65:

score: 0
Accepted
time: 507ms
memory: 5904kb

input:

500
464689 -654475 874948 278641 -792884 186354
-798268 -885245 366579 415873 -814492 568386
548594 757214 459960 -318745 -320885 285634
-970144 68165 91372 -935576 -557281 -82177
-71496 697792 859229 603072 -751718 -629380
-391402 -320266 -691800 99295 771407 -415586
131176 -704350 628899 959024 80...

output:

500

result:

ok single line: '500'

Test #66:

score: 0
Accepted
time: 509ms
memory: 5904kb

input:

500
660575 -715271 73415 436140 226362 12224
19467 916145 -662062 -510604 824283 454499
205202 -915814 -735123 -110822 -83586 808202
13120 -72969 106150 -211607 557293 169887
-5849 149098 -624091 831479 -195891 -854258
335561 -450902 467595 -612441 695943 -877490
-356999 -751820 -886079 499927 46503...

output:

500

result:

ok single line: '500'

Test #67:

score: 0
Accepted
time: 510ms
memory: 5880kb

input:

500
-425261 857089 -722463 345227 -983886 -779314
873569 -40018 -490178 580005 -863510 -254613
-435240 -520380 84908 -513784 564739 330588
-932188 -477605 -347322 492032 -294079 477227
-72311 862368 -29594 -887377 -627667 -608677
-775504 -953650 8567 -11911 -162415 -485409
822275 -380961 773749 9387...

output:

500

result:

ok single line: '500'

Test #68:

score: 0
Accepted
time: 512ms
memory: 6188kb

input:

500
-132886 502058 -877447 79042 35022 -322286
101780 -909854 172531 103616 -119015 -271777
289064 -256857 -663836 977205 -748931 -999133
-68650 848633 -3718 -874892 260143 -880264
399836 -18330 881394 -913991 761700 620864
642012 105194 -288186 637083 -765709 -480047
-818650 -112345 310067 -918378 ...

output:

500

result:

ok single line: '500'

Test #69:

score: 0
Accepted
time: 505ms
memory: 5888kb

input:

500
-455212 958307 274912 -88656 390687 881409
-498879 -623821 322766 -916023 347922 541726
-594515 -554311 -413504 -881701 -506880 -144667
658945 -503396 791805 314816 -830920 -769486
-200847 845218 468338 -166468 -49854 -287877
-820402 914874 916800 258029 -210000 -296727
702016 -389491 -31529 -52...

output:

500

result:

ok single line: '500'