From: Snapshot-Content-Location: https://hpcgame.pku.edu.cn/org/2df8f692-0316-4682-80cd-591732b1eda6/contest/7250a2f0-3c1e-4aaf-91a1-ccc4339ef00d/problem/3c13ab16-a789-4e40-9a8b-15e0e3f17829 Subject: =?utf-8?Q?=E6=AF=94=E8=B5=9B?= Date: Mon, 29 Jan 2024 17:17:58 +0800 MIME-Version: 1.0 Content-Type: multipart/related; type="text/html"; boundary="----MultipartBoundary--lOPN8Gcq1Pf0IT6E7cbRd0cvJaQ3CPvoZJwqQC8rp5----" ------MultipartBoundary--lOPN8Gcq1Pf0IT6E7cbRd0cvJaQ3CPvoZJwqQC8rp5---- Content-Type: text/html Content-ID: Content-Transfer-Encoding: quoted-printable Content-Location: https://hpcgame.pku.edu.cn/org/2df8f692-0316-4682-80cd-591732b1eda6/contest/7250a2f0-3c1e-4aaf-91a1-ccc4339ef00d/problem/3c13ab16-a789-4e40-9a8b-15e0e3f17829 =20 =E6=AF=94=E8=B5=9B =20
=

logistic =E6=96=B9=E7=A8=8B

=
= =E5=88=86=E6=95=B0=EF=BC=9A100
=E6=8F=90=E4=BA=A4=E6=AC=A1=E6=95=B0=E9=99=90=E5=88=B6=EF=BC=9A19/30
=

=E7=AE=80=E4=BB=8B

=E6=B7=B7=E6=B2=8C=E7=B3=BB=E7=BB=9F=E5=9B=A0=E5=85=B6=E5=AF=B9=E5=BE=AE= =E6=89=B0=E7=9A=84=E6=9E=81=E5=BA=A6=E6=95=8F=E6=84=9F=E6=80=A7=E8=80=8C=E8= =AE=A9=E5=A4=A7=E5=AE=B6=E5=8D=81=E5=88=86=E6=84=9F=E5=85=B4=E8=B6=A3=EF=BC= =8C=E2=80=9C=E4=BA=9A=E9=A9=AC=E9=80=8A=E9=9B=A8=E6=9E=97=E7=9A=84=E8=9D=B4= =E8=9D=B6=E6=89=87=E5=8A=A8=E7=BF=85=E8=86=80=EF=BC=8C=E5=B0=B1=E5=8F=AF=E8= =83=BD=E5=9C=A8=E5=A4=AA=E5=B9=B3=E6=B4=8B=E5=88=AE=E8=B5=B7=E9=A3=93=E9=A3= =8E=E2=80=9D=E4=BE=BF=E6=98=AF=E6=B7=B7=E6=B2=8C=E7=B3=BB=E7=BB=9F=E7=9A=84= =E6=9C=89=E8=B6=A3=E4=BE=8B=E5=AD=90=E3=80=82=E6=88=91=E4=BB=AC=E8=BF=99=E9= =87=8C=E4=BB=8B=E7=BB=8D=E4=B8=80=E7=A7=8D=E6=B7=B7=E6=B2=8C=E7=B3=BB=E7=BB= =9F=EF=BC=8C=E7=A7=B0=E4=B8=BA logistic =E6=96=B9=E7=A8=8B=E3=80=82=E8=AF= =A5=E6=96=B9=E7=A8=8B=E6=8F=8F=E8=BF=B0=E7=A7=8D=E7=BE=A4=E5=9C=A8=E8=B5=84= =E6=BA=90=E6=9C=89=E9=99=90=E7=9A=84=E6=83=85=E5=86=B5=E4=B8=8B=E6=95=B0=E9= =87=8F=E9=9A=8F=E6=97=B6=E9=97=B4=E7=9A=84=E5=8F=98=E5=8C=96=EF=BC=8C=E6=95= =B0=E5=AD=A6=E5=BD=A2=E5=BC=8F=E5=A6=82=E4=B8=8B=EF=BC=9A

dxdt= =3Drx(1=E2=88=92x)= \frac{dx}{dt}=3Drx(1-x) dtdx=E2=80=8B<= /span>=3Drx(1=E2=88= =92x)

logistic =E6=98=A0=E5=B0=84=E6=98=AF=E4=B8=8E=E5=85=B6=E7=9B=B8=E4=BC=BC= =E7=9A=84=E7=A6=BB=E6=95=A3=E6=98=A0=E5=B0=84=EF=BC=8C=E5=85=B7=E6=9C=89=E5= =A6=82=E4=B8=8B=E5=BD=A2=E5=BC=8F=E3=80=82

x=3Drx(= 1=E2=88=92x)x=3Drx(1-x) x=3Drx(1=E2=88=92x)

logistic =E6=98=A0=E5=B0=84=E5=B0=BD=E7=AE=A1=E5=BD=A2=E5=BC=8F=E7=AE=80= =E5=8D=95=EF=BC=8C=E4=BD=86=E4=BD=9C=E4=B8=BA=E6=B7=B7=E6=B2=8C=E7=B3=BB=E7= =BB=9F=E5=85=B7=E6=9C=89=E5=BE=88=E5=A4=9A=E5=85=B8=E5=9E=8B=E7=9A=84=E7=89= =B9=E5=BE=81=EF=BC=8C=E4=BE=8B=E5=A6=82=E5=88=86=E5=8F=89=E5=92=8C=E5=90=B8= =E5=BC=95=E5=AD=90=E3=80=82

=E5=BD=93 1<r<= /mi><31<r<31<r<<= span style=3D"margin-right:0.2778em;" class=3D"mspace">3 =E6=97=B6=EF=BC=8Cxxx =E4=BC=9A=E7=A8=B3=E5=AE=9A=E5=9C=A8 0 ~ 1 =E5=8C=BA=E9=97= =B4=E5=86=85=E7=9A=84=E6=9F=90=E4=B8=AA=E5=80=BC=E3=80=82=E4=B8=80=E6=97=A6= r>3r= >3r<= /span>>3=EF=BC=8C=E4=BC=9A=E5=9C=A8=E4=B8=A4=E4=B8=AA=E6=95=B0=E5=80=BC= =E4=B8=AD=E5=BE=AA=E7=8E=AF=E5=BD=A2=E6=88=90=E7=A8=B3=E5=AE=9A=E7=9A=84=E5= =91=A8=E6=9C=9F=EF=BC=8C=E9=9A=8F=E7=9D=80 rrr= =E7=9A=84=E5=A2=9E=E5=8A=A0=EF=BC=8C=E5=91=A8= =E6=9C=9F=E9=95=BF=E5=BA=A6=E9=80=90=E6=B8=90=E7=BF=BB=E5=80=8D=EF=BC=8C=E7= =9B=B4=E5=88=B0=E5=9C=A8=E4=B8=B4=E7=95=8C=E7=82=B9 <= span class=3D"katex-mathml">(r 3= .56995)(r~3.56995)(r 3.56995) =E8=B6=8B=E4=BA=8E=E6=97=A0=E7=A9=B7=EF=BC=8C=E6=84=8F=E5=91=B3=E7=9D=80= =E5=9C=A8=E8=BF=99=E9=87=8C=E6=B2=A1=E6=9C=89=E4=BB=BB=E4=BD=95=E7=9A=84=E5= =91=A8=E6=9C=9F=E7=8E=B0=E8=B1=A1=E3=80=82

=E5=A6=82=E6=9E=9C=E7=BB=9F=E8=AE=A1 = rr= r<= /span> =E5=8F=96=E4=B8=8D=E5=90=8C=E5=80=BC=E6=97=B6 <= span class=3D"katex">xxx =E7=9A=84=E5=88=86=E5=B8=83=EF=BC=8C=E5=B0=B1=E4= =BC=9A=E5=BE=97=E5=88=B0=E5=A6=82=E4=B8=8B=E5=9B=BE=E6=A1=88=E3=80=82

=E5=9C=A8 rrr = =E5=A4=A7=E4=BA=8E=E4=B8=B4=E7=95=8C=E7=82=B9=E7=9A=84=E8=8B=A5=E5=B9=B2=E5= =8C=BA=E9=97=B4=E4=B8=AD=EF=BC=8C=E4=BB=8D=E5=AD=98=E5=9C=A8=E7=A8=B3=E5=AE= =9A=E7=9A=84=E5=91=A8=E6=9C=9F=EF=BC=8C=E5=B9=B6=E4=B8=94=E6=9C=89=E5=92=8C= =E4=B8=B4=E7=95=8C=E7=82=B9=E5=B7=A6=E4=BE=A7=E7=9B=B8=E4=BC=BC=E7=9A=84=E9= =80=90=E6=AD=A5=E5=88=86=E5=8F=89=E7=8E=B0=E8=B1=A1=E3=80=82=E8=BF=99=E4=B9= =9F=E6=98=AF logistic =E6=98=A0=E5=B0=84=E6=9C=89=E8=B6=A3=E7=9A=84=E5=9C= =B0=E6=96=B9=E3=80=82

=E8=BF=99=E9=87=8C=E5=B0=86=E4=BD=BF=E7=94=A8 logistic =E6=98=A0=E5=B0= =84=E4=BD=9C=E4=B8=BA=E6=A0=B7=E4=BE=8B=EF=BC=8C=E5=88=9D=E6=AD=A5=E4=BA=86= =E8=A7=A3=E5=90=91=E9=87=8F=E5=8C=96=E6=8C=87=E4=BB=A4=E6=98=AF=E5=A6=82=E4= =BD=95=E5=8A=A0=E9=80=9F=E6=95=B0=E5=80=BC=E8=AE=A1=E7=AE=97=E7=9A=84=E3=80= =82

=E4=BB=BB=E5=8A=A1

=E4=BD=A0=E9=9C=80=E8=A6=81=E8=AE=A1=E7=AE=97 nnn= =E4=B8=AA 64 =E4=BD=8D=E6=B5=AE=E7=82=B9=E6=95=B0=E7=9A=84 itn =E6=AC=A1 logistic =E6=98=A0=E5=B0=84=EF=BC=8C=E6=89=80=E6=9C=89=E6=B5=AE= =E7=82=B9=E6=95=B0=E4=BC=9A=E4=BD=BF=E7=94=A8=E7=9B=B8=E5=90=8C=E5=8F=82=E6= =95=B0 rrr=E3=80= =82nnnnrrr<= /span> =E5=92=8C = xx= x =E7=9A=84=E4=B9=98=E7= =A7=AF=E5=86=8D=E8=AE=A1=E7=AE=97 rxrxrx =E5= =92=8C 1=E2=88=92x1-x= 1=E2=88=92<= /span>x =E7=9A=84= =E4=B9=98=E7=A7=AF=EF=BC=8C=E4=B9=9F=E4=B8=8D=E8=83=BD=E5=B0=86 x(1= =E2=88=92x)x(1-x)<= span style=3D"height:1em;vertical-align:-0.25em;" class=3D"strut">x(1=E2=88=92x)<= /span> =E8=BD=AC=E5=8C=96=E4=B8=BA (x=E2=88=97x=E2=88=92x)(x*x-x)(x=E2=88= =97x=E2=88=92x) =E7=84=B6=E5=90=8E= =E4=B9=98=E4=BB=A5 =E2=88=92r= -r=E2=88=92r=E3=80=82

#include=
 <iostream>
#include <chrono>

double it(double r, double x, int64_t itn) {
    for (int64_t i=
 =3D 0; i < itn; i++) {
        x =3D r * x * (1.0 - x);
    }
    return x;
}

void itv(double r, double* x, int64_t n, int64_t itn) =
{
    for (int64_t i=
 =3D 0; i < n; i++) {
        x[i] =3D it(r, x[i], itn);
    }
}

int main(){
    FILE* fi;
    fi =3D fopen("conf.data", "rb"=
);

    int64_t itn;
    double r;
    int64_t n;
    double* x;

    fread(&itn, 1, 8, fi);
    fread(&r, 1, 8, fi);
    fread(&n, 1, 8, fi);
    x =3D (double*)malloc=
(n * 8);
    fread(x, 1, n=
 * 8, fi);
    fclose(fi);


    auto t1 =3D std::chro=
no::steady_clock::now();
    itv(r, x, n, itn);
    auto t2 =3D std::chro=
no::steady_clock::now();
    int d1 =3D std::chrono::duration_cast<st=
d::chrono::milliseconds>(t2 - t1).count();
    printf("%d\n"=
, d1);

    fi =3D fopen("out.data", "wb"<=
/span>);
    fwrite(x, 1, =
n * 8, fi);
    fclose(fi);

    return 0;
}

=E8=AF=84=E6=B5=8B=E6=96=B9=E5=BC=8F

=E6=8F=90=E4=BA=A4=E5=8D=95=E4=B8=AA .cpp =E6=96=87=E4=BB= =B6=EF=BC=8C=E6=8F=90=E4=BA=A4=E7=9A=84=E4=BB=A3=E7=A0=81=E4=BC=9A=E4=BB=A5= =E6=9C=80=E7=AE=80=E5=8D=95=E7=9A=84=E6=96=B9=E5=BC=8F=E7=BC=96=E8=AF=91=E5= =B9=B6=E6=89=A7=E8=A1=8C=EF=BC=8C=E7=BC=96=E8=AF=91=E9=80=89=E9=A1=B9=E4=B8= =BA -O3 -fopenmp -mavx512f=EF=BC=8C=E9=80=9A=E5=B8=B8=E7=BC=96= =E8=AF=91=E5=99=A8=E4=BC=9A=E5=B0=9D=E8=AF=95 avx512 =E5=90=91= =E9=87=8F=E5=8C=96=EF=BC=8C=E8=AF=B7=E6=B3=A8=E6=84=8F=E5=AF=B9=E9=BD=90=E3= =80=82=E5=A6=82=E6=9E=9C=E9=9C=80=E8=A6=81=E9=93=BE=E6=8E=A5=E7=89=B9=E5=AE= =9A=E7=B3=BB=E7=BB=9F=E6=88=96=E7=BC=96=E8=AF=91=E5=99=A8=E8=87=AA=E5=B8=A6= =E5=BA=93=EF=BC=8C=E8=AF=B7=E8=81=94=E7=B3=BB=E5=B7=A5=E4=BD=9C=E4=BA=BA=E5= =91=98=E5=B9=B6=E8=AF=B4=E6=98=8E=E7=90=86=E7=94=B1=EF=BC=8C=E7=BC=96=E8=AF= =91=E6=9D=A1=E4=BB=B6=E7=9A=84=E6=9B=B4=E6=94=B9=E4=BC=9A=E5=AF=B9=E6=89=80= =E6=9C=89=E9=80=89=E6=89=8B=E5=8F=AF=E8=A7=81=E3=80=82=E7=A8=8B=E5=BA=8F=E8= =BF=90=E8=A1=8C=E5=9C=A8 Intel Xeon 8358 =E6=9C=BA=E5=99=A8=E4=B8=AD=E7=9A= =84 8 =E4=B8=AA=E6=A0=B8=E5=BF=83=E4=B8=8A=E3=80=82
=E5=90=84=E6=B5=8B=E8=AF=95=E7=82=B9=E5=A6=82=E4=B8=8B=E6=89=80=E7=A4=BA=EF= =BC=8C=E5=9C=A8=E9=99=90=E5=88=B6=E6=97=B6=E9=97=B4=E5=86=85=E5=BE=97=E5=88= =B0=E6=AD=A3=E7=A1=AE=E7=BB=93=E6=9E=9C=E5=8F=AF=E4=BB=A5=E5=BE=97=E5=88=B0= =E5=9F=BA=E6=9C=AC=E5=88=86=EF=BC=8C=E5=9C=A8=E6=BB=A1=E5=88=86=E6=97=B6=E9= =97=B4=E5=86=85=E5=BE=97=E5=88=B0=E6=AD=A3=E7=A1=AE=E7=BB=93=E6=9E=9C=E5=8F= =AF=E4=BB=A5=E5=BE=97=E5=88=B0=E6=BB=A1=E5=88=86=EF=BC=8C=E5=88=86=E6=95=B0= =E9=9A=8F=E6=97=B6=E9=97=B4=E7=9A=84=E5=AF=B9=E6=95=B0=E7=BA=BF=E6=80=A7=E5= =8F=98=E5=8C=96=E3=80=82=E6=97=B6=E9=97=B4=E9=99=90=E5=88=B6=E5=B0=8F=E4=BA= =8E=E6=A0=B7=E4=BE=8B=E7=A8=8B=E5=BA=8F=E7=94=A8=E6=97=B6=EF=BC=8C=E6=84=8F= =E5=91=B3=E7=9D=80=E6=8F=90=E4=BA=A4=E6=A0=B7=E4=BE=8B=E7=A8=8B=E5=BA=8F=E6= =97=A0=E6=B3=95=E8=8E=B7=E5=BE=97=E5=88=86=E6=95=B0=E3=80=82

=E5=BA=8F=E5=8F=B7 n itn =E6=A0=B7=E4=BE=8B=E7=A8=8B=E5=BA=8F=E7=94=A8=E6=97=B6 =E6=97=B6=E9=97=B4=E9=99=90=E5=88=B6 =E6=BB=A1=E5=88=86=E6=97=B6=E9=97=B4 =E5=9F=BA=E6=9C=AC=E5=88=86=E5=80=BC =E6=BB=A1=E5=88=86=E5=88=86=E5=80=BC
1 4M 32768 6min 60s 1.5s 10 50
2 8M 32768 12min 120s 3s 10 50
<= div class=3D"v-card v-card--flat v-theme--light v-card--density-default rou= nded-lg v-card--variant-elevated">
=
=E6=8F=90=E4=BA=A4
=E5= =BD=93=E5=89=8D=E5=93=88=E5=B8=8C=E5=80=BC c2a5195
=E8=AF=84=E6=B5=8B=E6=A0= =87=E7=AD=BE hpc
=
=
<= div class=3D"v-card-subtitle">Metadata
<= div class=3D"v-field__loader">
<= /div>
Source Code
1
<= div class=3D"current-line" style=3D"width:45px; height:19px;">
<= /div>
=
<= /div>