QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#735968 | #2507. 方差 | Parsley_ | 100 ✓ | 35ms | 11148kb | C++14 | 1.6kb | 2024-11-11 23:15:31 | 2024-11-11 23:15:32 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
#define ull unsigned long long
#define IOS ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define CHECK cout<<"WALKED"<<endl;
#define ls u<<1
#define rs u<<1|1
inline int read(){int x=0,f=1;char ch=getchar();while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();} while(ch>='0' && ch<='9')x=(x<<3)+(x<<1)+ch-'0',ch=getchar();return x*f;}
ll qpow(ll a, ll b, ll mod){ll res = 1; while (b > 0){if (b & 1) res = res * a % mod;a = a * a % mod; b >>= 1; } return res;}
using namespace std;
const int N = 1e4 + 10;
int n;
int a[N], d[N];
int f[2][600 * N];
int psum[N];
int main()
{
cin >> n ;
for (int i = 1; i <= n; i++)
cin >> a[i];
for (int i = 1; i < n; i++) {
d[i] = a[i + 1] - a[i];
}
sort(d + 1, d + n);
int maxa = a[n], cnt = 1;
for (int i = 1; i < n; i++) if (!d[i]) cnt++;
for (int i = 1; i < n; i++) psum[i] = psum[i - 1] + d[i];
int nw = 0, lst = 1, lm = maxa * n;
for (int i = 0; i <= lm; i++) f[nw][i] = 1e9;
f[nw][d[cnt]] = d[cnt] * d[cnt];
f[nw][d[cnt] * cnt] = d[cnt] * d[cnt] * cnt;
for (int i = cnt + 1; i < n; i++) {
nw ^= 1, lst ^= 1;
for (int s = 0; s <= lm; s++)
f[nw][s] = 1e9;
for (int s = 0; s <= lm; s++) {
if (f[lst][s] == 1e9) continue;
f[nw][s + d[i] * i] = min(f[nw][s + d[i] * i],
f[lst][s] + 2 * s * d[i] + d[i] * d[i] * i);
f[nw][s + psum[i]] = min(f[nw][s + psum[i]],
f[lst][s] + psum[i] * psum[i]);
}
}
int ans = INT_MAX;
for (int i = 0; i <= lm; i++)
if (f[nw][i] != 1e9)
ans = min(ans, n * f[nw][i] - i * i);
cout << ans << "\n";
return 0;
}
这程序好像有点Bug,我给组数据试试?
Details
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Pretests
Final Tests
Test #1:
score: 4
Accepted
time: 1ms
memory: 5664kb
input:
4 2 3 4 8
output:
83
result:
ok single line: '83'
Test #2:
score: 4
Accepted
time: 0ms
memory: 5644kb
input:
4 1 1 3 6
output:
51
result:
ok single line: '51'
Test #3:
score: 4
Accepted
time: 1ms
memory: 5600kb
input:
4 5 5 6 10
output:
59
result:
ok single line: '59'
Test #4:
score: 4
Accepted
time: 0ms
memory: 5644kb
input:
10 1 10 19 22 31 32 32 36 39 39
output:
9604
result:
ok single line: '9604'
Test #5:
score: 4
Accepted
time: 1ms
memory: 5584kb
input:
10 5 6 13 21 27 27 30 32 34 37
output:
6956
result:
ok single line: '6956'
Test #6:
score: 4
Accepted
time: 1ms
memory: 5652kb
input:
14 2 2 4 4 8 8 8 10 11 11 11 16 18 18
output:
2208
result:
ok single line: '2208'
Test #7:
score: 4
Accepted
time: 1ms
memory: 5568kb
input:
15 1 3 5 7 7 10 10 10 10 11 13 13 18 18 20
output:
4076
result:
ok single line: '4076'
Test #8:
score: 4
Accepted
time: 1ms
memory: 5728kb
input:
15 1 1 2 4 4 6 6 9 9 11 11 14 16 16 18
output:
3524
result:
ok single line: '3524'
Test #9:
score: 4
Accepted
time: 1ms
memory: 7640kb
input:
20 70 75 87 93 93 96 102 111 116 128 142 169 189 194 206 215 215 215 230 240
output:
613931
result:
ok single line: '613931'
Test #10:
score: 4
Accepted
time: 1ms
memory: 5668kb
input:
20 45 56 68 90 111 145 154 155 161 171 176 187 190 196 201 216 222 280 280 280
output:
955084
result:
ok single line: '955084'
Test #11:
score: 4
Accepted
time: 1ms
memory: 5620kb
input:
20 20 52 88 96 102 113 137 144 150 159 185 188 188 188 201 202 229 246 261 273
output:
1301784
result:
ok single line: '1301784'
Test #12:
score: 4
Accepted
time: 1ms
memory: 5676kb
input:
20 48 58 63 69 83 83 89 112 118 121 132 139 156 169 169 169 181 201 208 238
output:
742851
result:
ok single line: '742851'
Test #13:
score: 4
Accepted
time: 1ms
memory: 7676kb
input:
50 1 3 3 4 6 6 6 9 10 11 12 13 14 14 14 15 18 21 23 25 25 25 29 30 31 34 34 35 36 41 41 41 42 42 42 47 50 50 51 51 64 64 65 65 66 69 69 69 70 70
output:
329064
result:
ok single line: '329064'
Test #14:
score: 4
Accepted
time: 1ms
memory: 5652kb
input:
50 1 2 2 3 4 5 9 10 14 15 17 17 19 20 22 22 23 24 28 29 29 30 31 31 31 32 34 35 39 39 40 40 41 41 42 42 44 44 45 45 46 47 48 52 53 54 65 66 67 69
output:
393256
result:
ok single line: '393256'
Test #15:
score: 4
Accepted
time: 1ms
memory: 5668kb
input:
50 2 2 5 6 7 7 7 8 9 10 10 10 15 15 15 16 18 18 19 23 23 24 27 27 29 31 32 32 36 36 37 40 43 44 46 46 47 48 50 51 52 52 65 66 66 66 67 67 68 70
output:
336136
result:
ok single line: '336136'
Test #16:
score: 4
Accepted
time: 1ms
memory: 5656kb
input:
100 1 1 2 2 3 3 3 3 4 4 4 4 4 5 5 5 5 5 5 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 13 21 21 21 22 22 23 24 24 24 24 25 26 26 26 26 26 27 27 27 28 28 28 28 29 29 30 30 30 31 32 32 32 32 32 33 34 34 34 35 35 35 36 36 37 38 38 38 38 39 39 39 39 39 40 40 40 40
output:
302700
result:
ok single line: '302700'
Test #17:
score: 4
Accepted
time: 0ms
memory: 5652kb
input:
100 1 1 2 2 2 2 2 3 3 3 4 4 4 4 4 5 5 5 5 5 6 6 6 7 7 7 8 8 8 9 10 10 11 11 11 11 12 12 12 13 13 13 21 21 21 21 22 22 22 23 23 24 24 24 24 24 25 26 26 26 26 26 26 26 27 27 28 28 28 28 28 29 29 29 30 30 30 30 31 31 31 31 31 32 33 34 34 35 35 35 35 35 35 37 37 38 38 38 38 39
output:
276964
result:
ok single line: '276964'
Test #18:
score: 4
Accepted
time: 1ms
memory: 5708kb
input:
100 1 1 1 2 3 3 3 3 3 3 4 5 5 5 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 11 11 13 13 13 13 21 21 21 22 22 22 22 23 23 23 23 23 23 23 24 24 24 25 25 26 27 27 27 27 28 28 28 29 29 29 29 30 30 30 31 32 32 32 33 33 34 34 34 34 34 35 35 36 37 37 37 37 37 37 38 38 38 38 39 40 40 40
output:
302700
result:
ok single line: '302700'
Test #19:
score: 4
Accepted
time: 31ms
memory: 8444kb
input:
400 1 1 2 2 3 4 4 5 5 6 6 6 6 7 8 8 8 10 10 10 11 11 11 11 11 11 12 12 12 12 13 14 14 15 15 15 16 16 17 18 18 18 19 20 22 23 29 29 30 31 31 32 32 32 33 33 34 34 35 35 35 36 37 37 37 37 37 37 37 37 37 38 38 38 38 38 38 39 39 40 41 42 46 47 48 49 49 50 50 50 51 51 52 52 53 53 53 53 55 56 56 56 58 58 5...
output:
266737600
result:
ok single line: '266737600'
Test #20:
score: 4
Accepted
time: 35ms
memory: 8592kb
input:
400 1 2 2 3 3 3 3 3 3 4 4 4 4 4 4 4 5 5 5 6 6 7 8 9 10 10 16 17 18 19 19 20 20 20 20 20 21 22 23 23 24 25 25 25 25 25 25 25 25 26 26 27 27 28 29 29 29 29 29 29 29 30 30 30 30 30 30 30 30 30 30 30 31 31 32 33 34 34 35 35 35 35 37 37 38 38 38 38 39 39 40 43 44 45 45 45 45 46 47 48 49 50 50 50 58 59 59...
output:
271813084
result:
ok single line: '271813084'
Test #21:
score: 4
Accepted
time: 35ms
memory: 8568kb
input:
400 1 1 1 2 3 3 4 5 5 5 5 5 5 5 6 6 6 7 7 9 9 9 10 11 12 12 12 13 13 14 14 15 16 17 17 18 18 18 18 18 18 19 20 20 20 21 21 22 23 23 24 25 26 27 27 28 28 30 30 31 31 32 33 33 33 34 34 34 35 35 35 36 36 36 37 38 39 39 40 40 41 41 41 42 42 42 42 43 44 45 46 46 46 46 47 47 48 48 49 50 51 51 52 53 58 58 ...
output:
263380775
result:
ok single line: '263380775'
Test #22:
score: 4
Accepted
time: 34ms
memory: 8512kb
input:
400 1 2 3 4 5 5 5 14 15 15 15 16 16 16 17 18 18 18 18 19 19 19 20 21 26 27 28 29 29 29 29 29 30 30 31 31 31 31 32 33 34 34 34 35 36 37 37 37 38 39 40 40 41 41 43 44 44 45 46 46 46 47 47 48 49 50 50 50 51 52 52 55 55 55 56 57 57 57 58 58 58 59 59 59 59 60 62 63 64 64 64 65 65 65 66 66 67 68 68 68 69 ...
output:
256248151
result:
ok single line: '256248151'
Test #23:
score: 4
Accepted
time: 20ms
memory: 10132kb
input:
10000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
104249375
result:
ok single line: '104249375'
Test #24:
score: 4
Accepted
time: 20ms
memory: 10508kb
input:
10000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
104249375
result:
ok single line: '104249375'
Test #25:
score: 4
Accepted
time: 20ms
memory: 11148kb
input:
10000 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...
output:
104249375
result:
ok single line: '104249375'
Extra Test:
score: 0
Extra Test Passed