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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
#1057#211. 「CSP-S2019」划分lzx1003133ms928336kbC++141.6kb2025-07-08 08:26:322025-07-08 08:26:34

answer

#include <bits/stdc++.h>
#define endl '\n'
#define ll long long
#define fi first
#define se second
using namespace std;
const int N=4e7+1;
const int M=1e5+1;
const int inf=0x3f3f3f3f;
const int mod=(1<<30)-1;
/*
首先想到暴力dp
然后考虑说,段数越多显然更小 
发现在所有决策点中,最大的一定最优 
一定有决策单调性  
所以可以用单调队列优化 
为了卡空间,可以只记决策点 
*/
int n,type;
ll a[N],b[N];
int f[N];
int q[N],l=1,r;
__int128 ans;
void write(__int128 x)
{
    if(x>=10) write(x/10);
    putchar('0'+x%10);
}
int p[M];
ll L[M],R[M];
signed main()
{
	//freopen(".in","r",stdin);
    //freopen(".out","w",stdout);
	cin.tie(0);
	cout.tie(0);
	ios::sync_with_stdio(false);
	cin>>n>>type;
	if(type)
	{
	    int x,y,z,m;
	    cin>>x>>y>>z>>b[1]>>b[2]>>m;
	    for(int i=1;i<=m;i++) cin>>p[i]>>L[i]>>R[i];
	    for(int i=1;i<=m;i++)
	    {
	        for(int j=p[i-1]+1;j<=p[i];j++)
            {
                if(j>2) b[j]=(x*b[j-1]+y*b[j-2]+z)&mod;
                a[j]=b[j]%(R[i]-L[i]+1)+L[i];
            }
        }
    }
    else for(int i=1;i<=n;i++) cin>>a[i];
    for(int i=2;i<=n;i++) a[i]+=a[i-1];
    q[++r]=0;
    for(int i=1;i<=n;i++)
    {
        while(r-l+1>=2&&a[i]-a[q[l+1]]>=a[q[l+1]]-a[f[q[l+1]]]) l++;
        f[i]=q[l];
        while(r>=l&&a[i]-a[f[i]]+a[i]<=a[q[r]]-a[f[q[r]]]+a[q[r]]) r--;//如果不如i优,那就弹出 
        q[++r]=i;
    }
    int pos=n;
    while(pos)
    {
        ans=ans+(__int128)(a[pos]-a[f[pos]])*(__int128)(a[pos]-a[f[pos]]);
        pos=f[pos];
    }
    write(ans);
    return 0;
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 4
Accepted
time: 1ms
memory: 7400kb

input:

1 0
1

output:

1

result:

ok "1"

Test #2:

score: 4
Accepted
time: 0ms
memory: 7280kb

input:

10 0
5 1 2 1 1 1 1 1 2 3

output:

108

result:

ok "108"

Test #3:

score: 4
Accepted
time: 2ms
memory: 7172kb

input:

10 0
5 1 1 4 3 2 1 6 5 6

output:

254

result:

ok "254"

Test #4:

score: 4
Accepted
time: 0ms
memory: 7284kb

input:

50 0
488 19 20 6 7 8 9 10 11 171 172 173 174 64 64 64 64 64 64 64 64 64 64 64 64 218 219 220 221 222...

output:

4485725

result:

ok "4485725"

Test #5:

score: 4
Accepted
time: 2ms
memory: 7388kb

input:

50 0
657 83 80 81 86 60 84 85 63 64 61 335 13 14 6 7 6 7 6 7 6 7 6 17 17 17 17 17 135 136 130 131 10...

output:

3963358

result:

ok "3963358"

Test #6:

score: 4
Accepted
time: 0ms
memory: 7400kb

input:

50 0
538 3 4 3 4 3 4 3 128 89 90 131 72 79 76 71 84 81 82 73 76 83 74 83 82 71 72 71 74 81 8 3 2 13 ...

output:

3376710

result:

ok "3376710"

Test #7:

score: 4
Accepted
time: 0ms
memory: 7356kb

input:

400 0
3009 356 438 551 606 387 2073 2777 2778 824 404 394 554 248 545 261 262 548 253 561 403 415 27...

output:

3170248737

result:

ok "3170248737"

Test #8:

score: 4
Accepted
time: 0ms
memory: 7384kb

input:

400 0
5615 5616 5617 5618 5619 5620 5621 5622 5623 5624 5625 5626 5627 5628 5629 5630 5631 5632 5633...

output:

6979363199

result:

ok "6979363199"

Test #9:

score: 4
Accepted
time: 1ms
memory: 7444kb

input:

400 0
3426 3427 3428 3429 3430 3431 3432 3433 3434 3435 3436 3437 3438 3439 3440 3441 3442 3443 3444...

output:

3318244868

result:

ok "3318244868"

Test #10:

score: 4
Accepted
time: 1ms
memory: 7380kb

input:

5000 0
26416 26417 26418 26419 26420 26421 26422 26423 26424 26425 26426 26427 26428 26429 26430 264...

output:

33887118980393

result:

ok "33887118980393"

Test #11:

score: 4
Accepted
time: 1ms
memory: 7372kb

input:

5000 0
23207 23208 23209 23210 23211 23212 23213 23214 23215 23216 23217 23218 23219 23220 23221 232...

output:

33248894141865

result:

ok "33248894141865"

Test #12:

score: 4
Accepted
time: 1ms
memory: 7440kb

input:

5000 0
66757 66758 66759 66760 66761 66762 66763 66764 66765 66766 66767 66768 66769 66770 66771 667...

output:

37723392435267

result:

ok "37723392435267"

Test #13:

score: 4
Accepted
time: 2ms
memory: 7416kb

input:

5000 0
27900 27901 27902 27903 27904 27905 27906 27907 27908 27909 27910 27911 27912 27913 27914 279...

output:

32475835026360

result:

ok "32475835026360"

Test #14:

score: 4
Accepted
time: 1ms
memory: 7408kb

input:

5000 0
88538 88539 88540 88541 88542 88543 88544 88545 88546 88547 88548 88549 88550 88551 88552 885...

output:

46614887221321

result:

ok "46614887221321"

Test #15:

score: 4
Accepted
time: 1ms
memory: 7360kb

input:

5000 0
57597 57598 57599 57600 57601 57602 57603 57604 57605 57606 57607 57608 57609 57610 57611 576...

output:

42148252068110

result:

ok "42148252068110"

Test #16:

score: 4
Accepted
time: 1ms
memory: 7328kb

input:

5000 0
32091 32092 32093 32094 32095 32096 32097 32098 32099 32100 32101 32102 32103 32104 32105 321...

output:

36356787333837

result:

ok "36356787333837"

Test #17:

score: 4
Accepted
time: 74ms
memory: 15500kb

input:

500000 0
232520 232521 232522 232523 232524 232525 232526 232527 232528 232529 232530 232531 232532 ...

output:

3404048031740228391

result:

ok "3404048031740228391"

Test #18:

score: 4
Accepted
time: 66ms
memory: 15692kb

input:

500000 0
171097 171098 171099 171100 171101 171102 171103 171104 171105 171106 171107 171108 171109 ...

output:

3274086928325086647

result:

ok "3274086928325086647"

Test #19:

score: 4
Accepted
time: 52ms
memory: 15596kb

input:

500000 0
507482 507483 507484 507485 507486 507487 507488 507489 507490 507491 507492 507493 507494 ...

output:

3313623507696416665

result:

ok "3313623507696416665"

Test #20:

score: 4
Accepted
time: 47ms
memory: 15672kb

input:

500000 0
184967 184968 184969 184970 184971 184972 184973 184974 184975 184976 184977 184978 184979 ...

output:

3136834726987393666

result:

ok "3136834726987393666"

Test #21:

score: 4
Accepted
time: 57ms
memory: 15676kb

input:

500000 0
532977 532978 532979 532980 532981 532982 532983 532984 532985 532986 532987 532988 532989 ...

output:

3194381893489801230

result:

ok "3194381893489801230"

Test #22:

score: 4
Accepted
time: 65ms
memory: 15656kb

input:

500000 0
599257 599258 599259 599260 599261 599262 599263 599264 599265 599266 599267 599268 599269 ...

output:

3354933513897756362

result:

ok "3354933513897756362"

Test #23:

score: 4
Accepted
time: 915ms
memory: 893588kb

input:

40000000 1
825772993 851948608 851948609 23077817 23077818 100000
10000000 446359966 479914397
10000...

output:

3794994452005049854674339

result:

ok "3794994452005049854674339"

Test #24:

score: 4
Accepted
time: 914ms
memory: 910108kb

input:

40000000 1
843670282 1068932343 1068932344 12005507 12005508 100000
20000000 191508704 225063135
200...

output:

2875588265896779695426252

result:

ok "2875588265896779695426252"

Test #25:

score: 4
Accepted
time: 929ms
memory: 928336kb

input:

40000000 1
308437383 27106938 27106939 1520476 1520477 100000
30000000 7283395 40837826
30000152 202...

output:

2049762805232475409502206

result:

ok "2049762805232475409502206"